%PDF-1.3
%âãÏÓ
1 0 obj
<<
/Width 1
/Filter[/CCITTFaxDecode]
/Type/XObject
/Subtype/Image
/ImageMask true
/Length 4
/BitsPerComponent 1
/Height 1
/Decode[1 0]
/DecodeParms[<>]
>>
stream
€ €endstream
endobj
2 0 obj
<<
/Length 6003
>>
stream
/GS4 gs
BT
/F0 1 Tf
8.96638 0 0 8.96638 114.48 716.4 Tm
0 g
[(Revist)67(a)-374(de)-361(Ma)67(tem)]TJ
9.27465 0.0803 TD
<13>Tj
-0.02677 -0.0803 TD
[(atica:)-360(Teor)]TJ
5.8619 0.0803 TD
<13>Tj
0.12045 -0.0803 TD
[<1061>-374(y)-375(Aplica)28(ciones)-374(1994)]TJ
/F1 1 Tf
11.77733 0 Td
(1)Tj
/F0 1 Tf
0.58887 0 Td
[((1))-374(:)-375(1{16)]TJ
-27.59643 -1.51232 TD
(cimp)Tj
2.14133 -0.00001 TD
[(a)-374({)-375(ucr)-374({)-388(ccss)-2275(issn:)-375(1409-2433)]TJ
/F2 1 Tf
17.21544 0 0 17.21544 160.32 615.36 Tm
[(equilibrio)-390(w)90(alrasiano)-378(en)-384(econom)]TJ
16.71523 0.08365 TD
<13>Tj
0.12547 -0.08365 TD
[(\020as)-377(de)]TJ
-10.00962 -1.26863 TD
[(inter)20(cambio)]TJ
/F3 1 Tf
11.95517 0 0 11.95517 170.64 563.16 Tm
[(Osv)90(aldo)-382(A)30(cu)]TJ
6.60467 0.0803 TD
(~)Tj
-0.03011 -0.0803 TD
[(na)-382(Or)70(tega)]TJ
/F4 1 Tf
7.97011 0 0 7.97011 313.68 567.48 Tm
(*)Tj
/F3 1 Tf
11.95517 0 0 11.95517 345.84 563.16 Tm
(Fern)Tj
2.51941 0.0803 TD
<13>Tj
-0.03011 -0.0803 TD
[(an)-382(Ula)70(te)-372(Monter)19(o)]TJ
/F4 1 Tf
7.97011 0 0 7.97011 490.44 567.48 Tm
(**)Tj
ET
q
340.20001 0 0 -0.6 160.428 517.428 cm
/Im1 Do
Q
BT
/F5 1 Tf
9.96264 0 0 9.96264 307.56 464.04 Tm
(Resumen)Tj
/F6 1 Tf
-15.14056 -1.84289 TD
[(Se)-482(presen)24(tan)-458(las)-470(funciones)-482(de)-470(exceso)-469(de)-469(demanda)-470(agregada)-445(de)-469(una)-482(econom)109<13>385<1061>-445(de)]TJ
-1.49358 -1.2045 TD
[(in)24(tercam)24(bio.)-241(Se)-277(estudian)-266(las)-253(propiedades)-253(y)-265(los)-254(v)25(ectores)-254(de)-264(precios)-254(de)-264(equilibrio)-266(de)-264(dic)24(has)]TJ
0 -1.19245 TD
[(funciones.)-325(Se)-337(prueba)-314(que)-337(el)-325(equilibrio)-325(w)24(alrasiano)-302(es)-325(un)-337<13>506(optimo)-326(de)-337(P)25(areto.)-302(Se)-337(estudia)-326(el)]TJ
0 -1.2045 TD
[(concepto)-373(de)-385(econom)109<13>386<1061>-362(regular)-361(y)-386(se)-373(prueba)-386(la)-373(existencia)-386(de)-385(equilibrio)-374(w)25(alrasiano,)-350(para)]TJ
T*
[(dic)24(ha)-313(econom)109<13>386(\020a.)-301(P)24(or)-337<13>530(ultimo,)-326(estudiamos)-314(la)-326(unicidad)-325(del)-337(v)24(ector)-301(de)-337(precios)-313(de)-325(equilibrio.)]TJ
/F5 1 Tf
16.74255 -2.42105 TD
(Abstract)Tj
/F6 1 Tf
-15.24897 -1.85493 TD
[(W)84(e)-409(presen)24(t)-398(the)-410(aggregated)-373(excess)-397(demand)-410(functions)-410(in)-410(an)-397(exc)25(hange)-385(econom)24(y)85(.)-398(W)85(e)]TJ
-1.49358 -1.2045 TD
[(study)-290(the)-301(prop)-25(erties)-278(and)-301(the)-289(equilibrium)-302(price)-289(v)24(ectors)-278(of)-289(the)-301(aggregated)-265(excess)-277(demand)]TJ
0 -1.19245 TD
[(functions.)-483(W)85(e)-494(pro)24(v)24(e)-457(that)-495(the)-482(w)24(alrasian)-458(equilibrium)-482(is)-483(a)-481(P)24(areto)-458(optim)24(un.)-482(W)84(e)-493(study)]TJ
0 -1.2045 TD
[(regular)-374(ecomies.)-385(W)85(e)-398(pro)24(v)24(e)-385(the)-398(existence)-397(of)-385(regular)-386(equilibrium)-398(for)-386(regular)-374(economies.)]TJ
0 -1.19246 TD
[(W)84(e)-336(study)-327(the)-337(unicit)24(y)-338(of)-337(the)-337(equilibrium)-326(price)-337(v)24(ector.)]TJ
/F7 1 Tf
14.34624 0 0 14.34624 114.48 272.76 Tm
[(1.)-1130(In)33(tro)-34(ducci\023)559(on)]TJ
/F8 1 Tf
10.90909 0 0 10.90909 131.4 248.28 Tm
[(Los)-407(or)110<13>]TJ
2.816 0 Td
[(\020genes)-407(de)-407(la)-407(teor)110<13>]TJ
7.315 0 Td
[<1061>-418(del)-396(equilibrio)-407(general)-407(pueden)-396(remon)33(tarse)-407(a)-407(A.)-407(Smith.)-396(P)33(oste-)]TJ
-11.682 -1.243 TD
[(riormen)33(te)-385(a)-374(Smith,)-363(y)33(a)-385(algunos)-374(autores)-374(como)-385(A.)-374(Cournot)-363(y)-374(H.)-374(Mangoldt,)-385(traba)-55(jaron)-374(en)-374(la)]TJ
T*
[(teor)110<13>]TJ
1.716 0 Td
[<1061>-341(del)-319(equilibrio)-330(p)-33(ero)-308(sin)-319(in)33(tro)-33(ducir)-319(los)-319(asp)-33(ectos)-330(sub)-55(jetiv)33(os)-330(que)-319(otros)-319(economistas)-341(como)]TJ
-1.716 -1.243 TD
[(C.)-341(Menger,)-352(S.)-330(Jev)33(ons)-341(y)-341(L.)-341(W)88(alras)-352(in)33(tro)-33(dujeron)-330(a)-341(tra)33(v)33<13>]TJ
23.441 0 Td
[(es)-363(del)-341(concepto)-352(de)-341(utilidad)-330(marginal,)]TJ
-23.441 -1.243 TD
[(el)-341(cual)-341(a)-341(su)-330(v)33(ez)-341(tiene)-341(sus)-330(or)110<13>]TJ
12.023 0 Td
[(\020genes)-341(en)-330(H.)-341(Gossen)-341(y)-330(A.)-341(Dupuit.)]TJ
-10.472 -1.243 TD
[(W)88(alras)-242(extiende)-231(la)-231(teor)110<13>]TJ
9.812 0 Td
[<1061>-242(de)-220(cam)33(bio)-231(al)-231(caso)-242(de)-220(tres)-220(o)-231<6D13>495(as)-220(bienes.)-231(La)-220(exp)-33(osici\023)495(on)-231(matem\023)495(atica)]TJ
-11.363 -1.243 TD
[(de)-352(W)88(alras)-374(ha)-352(tenido)-363(un)-341(impacto)-363(m)33(uy)-352(grande)-352(en)-352(teor)110<13>]TJ
23.133 0 Td
[<1061>-374(econ\023)495(omica)-374(que)-352(a)-33<13>]TJ
8.371 0 Td
[(un)-352(ho)33(y)88(,)-363(a)-363(p)-33(esar)-341(de)]TJ
-31.50399 -1.243 TD
[(los)-451(traba)-55(jos)-451(p)-33(osteriores,)-451(tiene)-462(un)-429(v)55(alor)-451(imp)-33(onderable.)-440(W)88(alras)-462(estudi\023)495(o)-451(v)55(arias)-451(propiedades)]TJ
T*
[(del)-319(mo)-33(delo)-319(de)-308(equilibrio)-319(general,)-330(como)-330(la)-319(estabilidad)-330(\(cuy)33(o)-319(pro)-33(ceso)-319(din\023)495(amico)-319(para)-319(alcanzar)]TJ
T*
[(el)-462(equilibrio)-451(p)-33(osee)-451(una)-440(b)-33(elleza)-462(incuestionable\),)-473(la)-451(optimalidad)-462(\(que)-451(fue)-440(estudiada)-451<6D13>495(as)-451(a)]TJ
ET
q
172.8 0 0 -0.48 114.468 116.508 cm
/Im1 Do
Q
BT
/F9 1 Tf
5.97758 0 0 5.97758 126.96 108.96 Tm
(*)Tj
/F10 1 Tf
8.96638 0 0 8.96638 131.16 105.12 Tm
[(Escuela)-348(de)-348(Matem\023)510(atica,)-373(Univ)26(ersidad)-334(de)-335(Costa)-360(Rica,)-360(2060)-360(San)-335(Jos)28<13>]TJ
29.51025 0 Td
[(e,)-361(Costa)-360(Rica.)]TJ
/F9 1 Tf
5.97758 0 0 5.97758 123.36 97.32 Tm
(**)Tj
/F10 1 Tf
8.96638 0 0 8.96638 131.16 93.48 Tm
[(Escuale)-348(de)-348(Econom)121<13>]TJ
8.68578 0 Td
[(\020a,)-374(Univ)26(ersidad)-334(de)-349(Costa)-359(Rica,)-348(2060)-359(San)-349(Jos)28<13>]TJ
19.90102 0 Td
[(e,)-361(Costa)-360(Rica.)]TJ
/F8 1 Tf
10.90909 0 0 10.90909 327.84 63.6 Tm
(1)Tj
ET
endstream
endobj
3 0 obj
<<
/SA false
/Type/ExtGState
>>
endobj
4 0 obj
<<
/Length 10018
>>
stream
/GS4 gs
BT
/F8 1 Tf
10.90909 0 0 10.90909 72 722.16 Tm
0 g
(2)Tj
/F11 1 Tf
15.191 0 Td
[(o.)-374(a)22(cu)]TJ
3.168 0.088 TD
(~)Tj
-0.033 -0.088 TD
[(na)-363({)-385(f.)-374(ula)66(te)]TJ
/F8 1 Tf
-18.326 -3.278 TD
[(fondo)-385(p)-33(or)-385(sus)-374(disc)110<13>]TJ
8.074 0 Td
[(\020pulos,)-396(p)-33(or)-374(ejemplo)-396(W.)-396(P)33(areto\),)-418(la)-396(existencia)-407(cuy)33(o)-396(estudio)-396(ha)-385(sido)-396(bas-)]TJ
-8.074 -1.243 TD
[(tan)33(te)-341(sup)-33(erado)-319(en)-330(el)-330(siglo)-341(XX,)-330(tam)33(bi)33<13>]TJ
16.093 0 Td
[(en)-352(merece)-341(recono)-33(cimien)33(to,)-352(etc.)-341(W.)-330(P)33(areto,)-352(E.)-330(Barone,)]TJ
-16.093 -1.243 TD
[(K.)-407(Wic)33(ksell,)-440(J.)-407(B.)-418(Clark,)-407(son)-407(algunos)-418(autores)-407(que)-407(p)-33(osteriormen)33(te)-429(hicieron)-407(con)33(tribuciones)]TJ
T*
[(imp)-33(ortan)33(tes)-429(a)-429(esta)-440(teor)110<13>]TJ
10.45 0 Td
[<1061>-440(del)-429(equilibrio)-429(general.)-429(Despu)33<13>]TJ
13.937 0 Td
[(es,)-440(se)-429(estudi\023)495(o)-429(el)-429(tema)-440(median)33(te)-429(el)]TJ
-24.387 -1.243 TD
[(uso)-385(de)-385(top)-33(olog)110<13>]TJ
6.457 0 Td
[<1061>-407(general)-407(y)-385(teor)110<13>385<1061>-396(de)-385(conjun)33(tos.)-396(Esta)-396(meto)-33(dolog)110<13>]TJ
21.571 0 Td
[<1061>-407(p)-33(ermiti\023)495(o)-385(cono)-33(cer)-396<6D13>495(as)-396(a)]TJ
-28.02799 -1.243 TD
[(fondo)-319(el)-330(problema)-330(de)-319(la)-330(existencia.)-352(P)33(o)-33(demos)-330(citar,)-330(en)33(tre)-341(m)33(uc)33(hos)-330(otros,)-330(a)-330(J.)-319(V)88(on)-330(Neumann,)]TJ
T*
[(K.)-462(Menger,)-462(A.)-462(W)88(ald,)-473(L.)-462(W.)-473(McKenzie,)-473(D.)-462(Gale,)-484(H.)-462(Nik)55(aido,)-473(K.)-462(Arro)33(w,)-462(G.)-462(Debreu.)-462(En)]TJ
0 -1.24299 TD
[(los)-396<13>528(ultimos)-374(a)-33(~)]TJ
5.621 0 Td
[(nos)-363(la)-374(top)-33(olog)110<13>385<1061>-385(diferencial)-363(ha)-363(p)-33(ermitido)-363(llev)55(ar)-374(la)-363(teor)110<13>]TJ
23.793 0 Td
[<1061>-385(del)-363(equilibrio)-363(p)-33(or)-352(un)]TJ
-29.41399 -1.24299 TD
[(rum)33(b)-33(o)-374(m)33(uy)-385(fruct)110<13>]TJ
7.59 0 Td
[(\020fero.)-396(Den)33(tro)-407(de)-385(esta)-407(meto)-33(dolog)110<13>]TJ
14.014 0 Td
[(\020a,)-418(el)-396(concepto)-407(de)-385(econom)110<13>]TJ
11.451 0 Td
[<1061>-407(regular)-396(\(que)]TJ
-33.05499 -1.24299 TD
[(se)-418(remon)33(ta)-418(a)-407(G.)-418(Debreu,)-418(1970\),)-429(o)-33(cupa)-407(un)-407(lugar)-407(cen)33(tral.)-429(Una)-418(v)33(ez)-418(de\fnido)-396(el)-418(concepto)-429(de)]TJ
0 -1.23199 TD
[(econom)110<13>]TJ
3.267 0 Td
[<1061>-407(regular,)-407(gran)-385(can)33(tidad)-407(de)-385(autores)-407(encuen)33(tran)-385(en)-363<13>473(el)-407(el)-396(instrumen)33(to)-396(ideal)-407(para)-385(el)]TJ
-3.267 -1.243 TD
[(desarrollo)-440(riguroso)-429(de)-429(la)-440(teor)110<13>]TJ
12.958 0 Td
[<1061>-451(del)-429(equilibrio)-440(w)33(alrasiano.)-451(P)33(o)-33(demos)-429(citar)-440(en)33(tre)-440(otros)-440(a)-440(E.)]TJ
-12.958 -1.243 TD
[(Dierk)33(er,)-352(H.)-330(Dierk)33(er,)-352(Y.)-341(Balask)33(o,)-363(S.)-330(Smale,)-341(T.)-330(Keho)-33(e,)-341(A.)-330(Mas.)-352(Colell.)]TJ
1.551 -1.32 TD
[(El)-231(traba)-55(jo)-231(pionero)-231(de)-231(L.)-220(W)88(alras,)-253(a)-231(p)-33(esar)-220(de)-231(la)-231(gran)-231(can)33(tidad)-231(de)-231(esfuerzos)-231(que)-220(se)-231(han)-220(hec)33(ho)]TJ
-1.551 -1.243 TD
[(p)-33(osteriormen)33(te,)-429(sigue)-418(teniendo)-418(to)-33(da)33(v)110<13>]TJ
16.39 0 Td
[<1061>-429(una)-407(imp)-33(ortancia)-429(primordial.)-407(Su)-407(an\023)495(alisis)-418(din\023)495(amico)]TJ
-16.39 -1.243 TD
[(para)-473(llegar)-495(al)-484(pun)33(to)-473(de)-473(equilibrio,)-484(sus)-473(de\fniciones)-473(de)-473(los)-484(diferen)33(tes)-484(tip)-33(os)-473(de)-473(ecuaciones)]TJ
T*
[(matem\023)495(aticas)-330(que)-308(describ)-33(en)-297(una)-297(econom)110<13>]TJ
17.226 0 Td
[(\020a,)-330(su)-297(creencia)-330(en)-297(la)-319(imp)-33(ortancia)-308(que)-308(deb)-33(e)-297<6413>495(arsele)-319(a)]TJ
-17.22599 -1.243 TD
[(la)-352(inclusi\023)495(on)-352(de)-352(to)-33(dos)-352(los)-352(sectores)-363(en)-352(el)-352(an\023)495(alisis)-363(econ\023)495(omico,)-374(y)-352(su)-341(extraordinario)-363(supuesto)-341(de)]TJ
T*
[(que)-363(las)-363(transacciones)-385(se)-363(realizan)-385(en)-363(el)-363(pun)33(to)-363(de)-363(equilibrio.)-374(Su)-352(f)33<13>]TJ
27.74199 0 Td
[(e)-374(en)-363(las)-363(matem\023)495(aticas)-396(como)]TJ
-27.74199 -1.243 TD
-0.033 Tc
[(ve)-33(h)77<13>]TJ
1.496 0 Td
0 Tc
[(\020culo)-429(para)-429(comprender)-407(y)-418(transmitir)-418(la)-429(compresi\023)495(on)-418(de)-418(la)-429(realidad)-429(econ\023)495(omico-so)-33(cial,)-462(su)]TJ
-1.496 -1.243 TD
[(creencia)-286(\frme)-253(en)-264(la)-275(necesidad)-275(que)-264(tiene)-275(el)-275(cono)-33(cimien)33(to)-286(cien)33(t)110<13>]TJ
26.224 0 Td
[(\020\fco)-297(de)-264(mo)-33(delar)-264(los)-275(f)33<13>]TJ
8.866 0 Td
(enomenos,)Tj
-35.08999 -1.243 TD
[(su)-462(meto)-33(dolog)110<13>]TJ
5.929 0 Td
[<1061>-495(de)-473(ir)-462(de)-473(lo)-473(extraordinariamen)33(te)-484(simple)-473(a)-473(lo)-473(complejo,)-484(su)-462(in)33(tegraci\023)495(on)-495(de)]TJ
-5.929 -1.232 TD
[(temas)-341(sub)-55(jetiv)33(os)-352(y)-330(ob)-55(jetiv)33(os,)-363(son)-330(asp)-33(ectos)-352(de)-330(su)-330(p)-33(ensamien)33(to)-341(que)-341(tienen)-341(gran)-330(imp)-33(ortancia)]TJ
0 -1.243 TD
[(en)-484(n)33(uestra)-451<13>473(ep)-33(o)-33(ca.)-495(Leon)-484(W)88(alras)-495(fue)-473(un)-473(hom)33(bre)-484(que)-473(se)-484(adelan)33<7413>495(o)-506(m)33(uc)33(ho)-484(a)-484(su)-473(tiemp)-33(o,)-495(su)]TJ
T*
[(\\Equilibrio)-297(Econ\023)495(omico",)-319(como)-308(dice)-297(el)-297(mon)33(umen)33(to)-297(que)-297(le)-297(dedic\023)495(o)-297(la)-308(Univ)33(ersidad)-286(de)-297(Lausana,)]TJ
T*
[(lo)-341(ubic\023)495(o)-330(para)-341(siempre,)-330(en)33(tre)-341(los)-341<6D13>495(as)-330(grandes)-330(economistas)-363(de)-330(to)-33(dos)-330(los)-341(tiemp)-33(os.)]TJ
1.551 -2.024 TD
[(En)-418(este)-440(traba)-55(jo)-429(estudiaremos)-440(una)-418(econom)110<13>]TJ
18.799 0 Td
[<1061>-440(con)-429(v)55(arios)-440(bienes)-418(y)-429(v)55(arios)-440(individuos)-407(sin)]TJ
-20.34999 -1.243 TD
[(pro)-33(ducci\023)495(on,)-374(tal)-385(como)-385(lo)-385(hizo)-385(W)88(alras)-385(en)-374(su)-374(\\Segunda)-374(Memoria".)-396(A)-385(diferencia)-374(de)-374(W)88(alras)-396(y)]TJ
T*
[(siguiendo)-275<6D13>495(as)-275(bien)-264(a)-275(P)33(areto,)-286(sup)-33(onemos)-264(que)-264(cada)-286(individuo)-264(tiene)-275(una)-264(relaci\023)495(on)-286(de)-275(prefencias)]TJ
T*
[(y)-242(no)-253(una)-231(funci\023)495(on)-242(de)-242(utilidad.)-253(Dada)-253(la)-253(relaci\023)495(on)-264(de)-242(preferencias)-242(y)-242(una)-242(canasta)-264(inicial)-264(de)-242(bienes,)]TJ
T*
[(los)-506(individuos,)-484(maximizando)-506(su)-484(bienestar,)-506(obtienen)-506(una)-484(funci\023)495(on)-495(de)-495(exceso)-506(de)-495(demanda)]TJ
T*
[(para)-363(un)-352(niv)33(el)-363(cualquiera)-374(de)-363(precios.)-363(Estas)-363(funciones)-363(individuales,)-363(se)-363(suman)-352(para)-352(to)-33(dos)-363(los)]TJ
T*
[(consumidores)-451(y)-462(se)-462(obtiene)-462(un)-451(v)33(ector)-473(de)-462(funciones)-451(de)-462(exceso)-473(de)-451(demanda)-451(agragada,)-484(que)]TJ
0 -1.232 TD
(llamamos)Tj
/F12 1 Tf
4.543 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
[(\).)-440(Como)-429(consecuencia)-451(de)-429(los)-440(supuestos)-418(del)-440(mo)-33(delo,)]TJ
/F12 1 Tf
24.178 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
[(\))-429(tiene)-440(una)-418(serie)-440(de)]TJ
-29.93099 -1.243 TD
[(propiedades)-286(m)33(uy)-297(in)33(teresan)33(tes,)-308(como)-308(p)-33(or)-286(ejemplo:)-297(es)-297(con)33(tin)33(ua)-308(y)-297(diferenciable,)-308(es)-297(homog)33<13>]TJ
37.64199 0 Td
(enea)Tj
-37.64199 -1.243 TD
[(de)-330(grado)-352(cero)-341(en)-330(precios,)-352(cumple)-330(con)-341(la)-341(ley)-352(de)-330(W)88(alras,)-352(esto)-352(es)]TJ
/F12 1 Tf
27.379 0 Td
(p)Tj
/F13 1 Tf
0.726 0 Td
<01>Tj
/F12 1 Tf
0.506 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
[(\))-275(=)-286(0,)-341(prop)-33(osiciones)-341(2)]TJ
-29.21599 -1.243 TD
0.33 Tc
[(y6)330(.)]TJ
1.551 -1.32 TD
0 Tc
[(Ahora)-308(bien,)-297(W)88(alras)-308(sup)-33(on)110<13>]TJ
11.319 0 Td
[<1061>-297(que)-297(si)]TJ
/F12 1 Tf
3.861 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\))Tj
/F13 1 Tf
1.551 0 Td
(6)Tj
/F8 1 Tf
[(=)-275(0,)-308(no)-297(se)-308(realizaban)-308(transacciones.)-319(A)-308(tra)33(v)33<13>]TJ
18.557 0 Td
[(es)-319(de)]TJ
-37.44399 -1.243 TD
[(su)-275(famoso)-297(pro)-33(ceso)-286(de)-275(t^)495(a)-11(tonnemen)33(t,)-297(los)-286(precios)-286(de)-286(cada)-286(bien)-286(sub)110<13>]TJ
27.41199 0 Td
[(\020an)-275(\(ba)-55(jaban\))-286(si)-275(el)-297(exceso)-297(de)]TJ
-27.41199 -1.243 TD
[(demanda)-352(de)-352(ese)-363(bien)-341(era)-363(p)-33(ositiv)33(o)-363(\(negativ)33(o\))-396(hasta)-352(llegar)-374(al)-363(pun)33(to)]TJ
/F12 1 Tf
29.19399 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
[(\))-308(=)-308(0,)-363(que)-352(llamamos)]TJ
-29.79899 -1.243 TD
[(equilibrio)-385(w)33(alrasiano)-407(de)-374(precios)-396(y)-374(al)]TJ
/F12 1 Tf
16.291 0 Td
(p)Tj
/F8 1 Tf
0.891 0 Td
[(corresp)-33(ondien)33(te,)-385(v)33(ector)-396(de)-385(precios)-396(de)-374(equilibrio.)-396(El)]TJ
-17.182 -1.243 TD
[(equilibrio)-308(w)33(alrasiano)-319(de)-297(precios)-308(resulta)-297(ser)-308(un)-286(equilibrio)-308(de)-297(precios)-308(\(prop)-33(osici\023)495(on)-297(3\),)-319(y)-297(p)-33(or)-286(lo)]TJ
T*
[(tan)33(to,)-330(ba)-55(jo)-308(los)-308(supuestos)-308(dados,)-308(un)-286<13>495(optimo)-319(de)-308(P)33(areto)-330(\(prop)-33(osici\023)495(on)-308(4\).)-319(El)-308(resultado)-308(an)33(terior)]TJ
T*
[(es)-330(m)33(uy)-319(imp)-33(ortan)33(te,)-341(desde)-319(el)-330(pun)33(to)-330(de)-319(vista)-341(cien)33(t)110<13>]TJ
21.252 0 Td
[(\020\fco)-352(y)-319(de)-330(p)-33(ol)110<13>]TJ
5.665 0 Td
[(\020tica)-341(econ\023)495(omica.)-352(El)-330(equilibrio)]TJ
ET
endstream
endobj
5 0 obj
<<
/Length 12642
>>
stream
/GS4 gs
BT
/F11 1 Tf
10.90909 0 0 10.90909 184.56 722.16 Tm
0 g
[(equilibrio)-374(w)88(alrasiano)-352(en)-374(econom)]TJ
16.731 0.088 TD
<13>Tj
0.121 -0.088 TD
[(\020as)-363(de)-374(inter)22(cambio)]TJ
/F8 1 Tf
15.82899 0 Td
(3)Tj
-39.10499 -3.278 TD
[(w)33(alrasiano)-297(de)-264(precios)-275(es,)-286(al)-275(mismo)-275(tiemp)-33(o,)-275(un)-264(marco)-275(de)-275(referencia)-286(te\023)495(orico)-286(de)-275(m)33(uc)33(ha)-275(utilidad)]TJ
0 -1.243 TD
[(y)-352(un)-341(pun)33(to)-352(deseable,)-363(que)-352(la)-352(p)-33(ol)110<13>]TJ
13.838 0 Td
[(\020tica)-374(deb)-33(er)110<13>]TJ
4.675 0 Td
[<1061>-341(buscar,)-352(p)-33(or)-341(ser)-341(un)-341<13>495(optimo.)-363(Un)-352(problema)-352(m)33(uy)]TJ
-18.513 -1.243 TD
[(imp)-33(ortan)33(te)-506(es)-495(en)33(tonces,)-506(la)-506(existencia)-517(del)-495(equilibrio)-495(w)33(alrasiano)-506(de)-495(precios.)-506(L.)-495(W)88(alras)-506(se)]TJ
T*
[(enfren)33<7413>495(o)-297(al)-286(problema)-286(con)33(tando)-286(ecuaciones)-308(e)-286(inc\023)495(ognitas,)-297(p)-33(ero)-275(a)-297(p)-33(esar)-275(de)-275(que)-286(para)-286(una)-242<13>473(ep)-33(o)-33(ca,)]TJ
T*
[(tal)-319(meto)-33(dolog)110<13>]TJ
5.984 0 Td
[<1061>-330(era)-308(un)-297(ap)-33(orte)-308(a)-308(la)-319(teor)110<13>385<1061>-319(econ\023)495(omica,)-330(el)-319(pro)-33(cedimien)33(to)-308(estaba)-319(esencialmen)33(te)]TJ
-5.984 -1.243 TD
[(equiv)33(o)-33(cado;)-495(en)-473(efecto,)-495(la)-473(igualdad)-473(en)33(tre)-484(el)-484(n)-33<13>528(umero)-462(de)-473(ecuaciones)-484(y)-473(de)-473(incognitas)-484(no)-473(es)]TJ
T*
[(necesaria)-363(ni)-341(su\fcien)33(te)-352(para)-352(obtener)-341(un)-341(resultado)-341(econ\023)495(omicamen)33(te)-385(signi\fcativ)33(o)-363(\(la)-363(soluci\023)495(on)]TJ
0 -1.24299 TD
[(no)-341(puede)-319(tener)-341(n)-33<13>]TJ
7.403 0 Td
[(umerosos)-330(negativ)33(os)-352(o)-341(imaginarios\).)]TJ
-5.852 -1.29799 TD
[(El)-429(concepto)-429(de)-418(econom)110<13>]TJ
10.318 0 Td
[<1061>-429(regular)-429(brinda)-396(una)-418(manera)-418(pr\023)495(actica)-429(y)-418(no)33(v)33(edosa)-440(de)-407(estudiar)]TJ
-11.869 -1.24299 TD
[(el)-385(problema)-374(de)-374(existencia)-396(del)-385(equilibrio.)-385(La)-374(de\fnici\023)495(on)-374(5)-385(nos)-374(dice)-385(que)-374(un)-363(v)33(ector)-396(de)-374(precios)]TJ
T*
[(de)-429(equilibrio)-418(es)-429(regular)-429(si)-418(el)-429(rango)-429(de)]TJ
/F12 1 Tf
17.204 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.418 Tc
[(\)e)418(s)]TJ
/F12 1 Tf
2.959 0 Td
0 Tc
(l)Tj
/F13 1 Tf
0.605 0 Td
<00>Tj
/F8 1 Tf
1.056 0 Td
[(1,)-429(donde)]TJ
/F12 1 Tf
4.235 0 Td
(l)Tj
/F8 1 Tf
0.737 0 Td
[(es)-418(el)-429(n)-33<13>]TJ
2.959 0 Td
[(umero)-418(de)-418(bienes)-418(en)]TJ
-30.943 -1.243 TD
[(la)-396(econom)110<13>]TJ
4.433 0 Td
[(\020a,)-396(y)-385(la)-385(de\fnici\023)495(on)-374(6)-385(nos)-385(dice)-385(que)-374(una)-374(econom)110<13>]TJ
20.031 0 Td
[<1061>-396(es)-385(regular,)-385(si)-385(to)-33(dos)-385(sus)-363(v)33(ectores)]TJ
-24.46399 -1.243 TD
[(de)-363(precios)-374(de)-352(equilibrio)-374(son)-363(regulares.)-363(En)-363(1972,)-385(E.)-363(Dierk)33(er)-374(prob\023)495(o)-352(que)-363(la)-374(funci\023)495(on)-352(de)-363(exceso)]TJ
T*
[(de)-462(demanda)-462(tiene)-473(un)-440(n)-33<13>]TJ
10.571 0 Td
[(umero)-462(impar)-451(de)-462(ceros)-473(en)-451(una)-462(econom)110<13>]TJ
17.105 0 Td
[<1061>-473(regular.)-473(Su)-451(resultado)-462(es)]TJ
-27.67599 -1.232 TD
[(una)-330(consecuencia)-352(directa)-352(del)-330(T)88(eorema)-352(del)-330(Indice.)-341(En)-330(este)-341(art)110<13>]TJ
26.598 0 Td
[(\020culo)-352(se)-330(dan)-330(to)-33(dos)-341(los)-341(detalles)]TJ
-26.598 -1.24299 TD
-0.033 Tc
<7413>Tj
0.374 0 Td
0 Tc
[(ecnicos)-440(requeridos,)-407(para)-396(satisfacer)-429(las)-407(hip\023)495(otesis)-407(del)-407(T)88(eorema)-429(de)-396(P)33(oincar)33<13>]TJ
31.768 0 Td
[(e-Hopf)-440(\(T)88(eorema)]TJ
-32.14199 -1.243 TD
[(B)-407(del)-396(ap)33<13>]TJ
3.828 0 Td
[(endice\))-418(y)-396(as)110<13>]TJ
5.335 0 Td
[<10>-407(obtener)-396(el)-407(T)88(eorema)-407(del)-396(Indice)-396(como)-407(consecuencia)-418(de)-396(este)-407(resultado)]TJ
-9.163 -1.243 TD
[(cl\023)495(asico.)]TJ
1.551 -1.298 TD
[(De\fnimos)-341(el)-231<13>385(\020ndice)-341(de)-330(un)-319(equilibrio)-341(de)-330(precios)-341(regular)-330(\(de\fnici\023)495(on)-341(7\))-341(como:)]TJ
9.306 -3.014 TD
[<13>385(\020ndice)-11(\()]TJ
/F12 1 Tf
3.058 0 Td
(p)Tj
/F8 1 Tf
[(\))-275(=)-275(signo)]TJ
/F14 1 Tf
4.62 1.408 TD
<12>Tj
/F8 1 Tf
0.737 -1.408 TD
(det)Tj
/F14 1 Tf
1.551 1.408 TD
<14>Tj
/F13 1 Tf
0.99 -0.792 TD
<00>Tj
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
1.969 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.891 0 Td
(\))Tj
/F12 1 Tf
1.298 0 Td
(p)Tj
/F13 1 Tf
-3.344 -1.243 TD
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 375.36 405.48 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 397.8 401.52 Tm
(0)Tj
/F14 1 Tf
0.957 2.035 TD
<1513>Tj
/F12 1 Tf
1.43 -1.408 TD
(:)Tj
/F8 1 Tf
-26.807 -3.069 TD
[(El)-484(T)88(eorema)-484(del)-473(Indice)-473(\(teorema)-484(17\),)-495(es)-473(el)-484(resultado)-473(de)-473<6D13>495(as)-473(imp)-33(ortancia)-484(de)-462(to)-33(do)-484(el)]TJ
-1.551 -1.243 TD
[(traba)-55(jo)-385(nos)-363(dice)-374(que)-374(si,)-374(E)-363(es)-374(el)-374(conjun)33(to)-374(de)-374(precios)-374(de)-363(equilibrio)-374(de)-374(una)-363(econom)110<13>]TJ
35.38699 0 Td
[<1061>-385(regular)]TJ
/F13 1 Tf
-35.38699 -1.243 TD
(E)Tj
/F8 1 Tf
0.616 0 Td
[(,)-429(en)33(tonces)]TJ
/F14 1 Tf
4.829 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 185.4 344.52 Tm
(p)Tj
/F16 1 Tf
0.54203 0 Td
(2)Tj
/F4 1 Tf
0.70764 0 Td
(E)Tj
/F8 1 Tf
10.90909 0 0 10.90909 202.2 347.76 Tm
[<13>385(\020ndice\()]TJ
/F12 1 Tf
3.047 0 Td
(p)Tj
/F8 1 Tf
[(\))-440(=)-418(1.)-429(Este)-429(teorema)-440(que)-429(tiene)-429(como)-440(corolario)-440(\(corolario)-451(18\))-440(el)]TJ
-11.088 -1.243 TD
[(hec)33(ho)-308(que)-297(E)-286(tiene)-308(un)-286(n)-33<13>]TJ
9.944 0 Td
[(umero)-286(impar)-286(de)-297(elemen)33(tos.)-319(En)-286(particular)-297(E)]TJ
/F13 1 Tf
18.777 0 Td
(6)Tj
/F8 1 Tf
(=)Tj
/F13 1 Tf
1.056 0 Td
(;)Tj
/F8 1 Tf
0.495 0 Td
[(,)-308(lo)-297(que)-297(implica)-308(desde)]TJ
-30.27199 -1.243 TD
[(luego,)-396(la)-385(existencia)-385(del)-385(equilibrio)]TJ
/F12 1 Tf
14.828 0 Td
(p)Tj
/F8 1 Tf
0.88 0 Td
[(con)-385(to)-33(das)-374(sus)-363(en)33(tradas)-385(reales)-385(y)-374(p)-33(ositiv)55(as,)-385(p)-33(or)-363(lo)-385(tan)33(to)]TJ
-15.708 -1.243 TD
[(con)-352(signi\fcado)-352(econ\023)495(omico.)-363(Lo)-352(an)33(terior,)-352(puesto)-352(que)-341(el)]TJ
/F12 1 Tf
23.507 0 Td
(p)Tj
/F8 1 Tf
[(,)-341(que)-341(hemos)-341(demostrado)-352(que)-341(existe,)]TJ
-23.507 -1.243 TD
[(est\023)495(a)-352(en)]TJ
/F12 1 Tf
3.399 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 158.88 298.08 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 175.8 293.52 Tm
(=)Tj
/F13 1 Tf
1.056 0 Td
(f)Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F13 1 Tf
0.792 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 222.12 297.48 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F12 1 Tf
10.90909 0 0 10.90909 235.56 293.52 Tm
(=)Tj
/F13 1 Tf
0.495 0 Td
(k)Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F13 1 Tf
0.506 0 Td
(k)Tj
/F8 1 Tf
0.792 0 Td
0.275 Tc
(=1)Tj
/F13 1 Tf
1.551 0 Td
0 Tc
(g)Tj
/F8 1 Tf
0.495 0 Td
(.)Tj
-13.882 -1.298 TD
[(El)-275(corolario)-286(19)-275(nos)-264(da)-264(condiciones)-275(necesarias)-286(y)-264(su\fcien)33(tes)-275(para)-264(la)-275(unicidad)-253(del)-275(equilibrio,)]TJ
-1.551 -1.243 TD
[(tema)-352(que)-330(tam)33(bi)33<13>]TJ
6.875 0 Td
[(en)-352(ha)-330(tenido)-341(m)33(uc)33(ha)-341(imp)-33(ortancia)-341(en)-330(la)-341(literatura)-341(econ\023)495(omica.)]TJ
-5.324 -1.298 TD
[(Si)-385(bien)-385(la)-396(presen)33(taci\023)495(on)-407(y)-385(pruebas)-374(de)-385(este)-407(art)110<13>]TJ
19.855 0 Td
[(\020culo,)-396(tienes)-396(sus)-385(propias)-385(particularidades,)]TJ
-21.40599 -1.243 TD
[(n)33(uestro)-484(traba)-55(jo)-484(est\023)495(a)-484(inspirado)-473(en)-473(los)-484(traba)-55(jos)-484(de)-473(G.)-484(Debreu)-473((1970),)-517(E.)-473(Dierk)33(er)-495((1972),)]TJ
T*
[(A.)-286(Mas.)-297(Colell)-297((1985))-308(y)-286(en)-286(n)33(uestros)-275(art)110<13>]TJ
16.775 0 Td
[(\020culos)-297(an)33(teriores,)-308(Acu)-33(~)]TJ
9.317 0 Td
[(na,)-286(O.)-275(y)-286(Ulate,)-297(F.)-297(\(1991,)-308(1992\).)]TJ
-24.541 -1.298 TD
[(A)-396(con)33(tin)33(uaci\023)495(on)-407(presen)33(tamos)-385(una)-385(serie)-385(de)-385(de\fniciones,)-385(que)-385(y)33(a)-396(hemos)-385(dado)-385(en)-385(traba)-55(jos)]TJ
-1.551 -1.243 TD
[(an)33(teriores)-352(\(1991,)-363(1992\).)]TJ
/F17 1 Tf
0 -2.145 TD
[(Notaci\023)572(on)]TJ
/F8 1 Tf
5.291 0 Td
(Sea)Tj
/F12 1 Tf
1.859 0 Td
(p)Tj
/F13 1 Tf
0.814 0 Td
(2)Tj
/F12 1 Tf
0.99 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 222.6 177.36 Tm
0 Tc
(l)Tj
/F12 1 Tf
10.90909 0 0 10.90909 225.6 173.4 Tm
0.363 Tc
(;p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 242.4 179.64 Tm
0 Tc
(>)Tj
/F8 1 Tf
10.90909 0 0 10.90909 241.44 173.4 Tm
0.319 Tc
[(=0)319(,)]TJ
/F12 1 Tf
2.233 0 Td
0 Tc
(p)Tj
/F13 1 Tf
0.814 0 Td
<15>Tj
/F8 1 Tf
1.089 0 Td
(0,)Tj
/F12 1 Tf
1.133 0 Td
0.319 Tc
(p>)Tj
/F8 1 Tf
1.914 0 Td
0 Tc
[(0)-363(denotan)-352(las)-363(siguien)33(tes)-374(condiciones)-363(resp)-33(ectiv)55(a-)]TJ
-18.821 -1.364 TD
[(men)33(te)]TJ
/F12 1 Tf
2.992 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 152.64 156.84 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 159.48 158.52 Tm
<15>Tj
/F8 1 Tf
1.089 0 Td
[(0)-352(para)-352(to)-33(do)]TJ
/F12 1 Tf
5.478 0 Td
(i)Tj
/F8 1 Tf
0.341 0 Td
(,)Tj
/F12 1 Tf
0.638 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 251.52 164.76 Tm
(>)Tj
/F8 1 Tf
10.90909 0 0 10.90909 250.68 158.52 Tm
0.308 Tc
[(=0)-44(y)]TJ
/F12 1 Tf
2.816 0 Td
0 Tc
(p)Tj
/F13 1 Tf
0.814 0 Td
(6)Tj
/F8 1 Tf
0.308 Tc
[(=0)308(,)]TJ
/F12 1 Tf
2.222 0 Td
0 Tc
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 320.04 156.84 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 326.76 158.52 Tm
(>)Tj
/F8 1 Tf
1.089 0 Td
[(0)-363(para)-352(to)-33(do)]TJ
/F12 1 Tf
5.489 0 Td
(i)Tj
/F8 1 Tf
[(.)-352(P)33(ara)]TJ
/F12 1 Tf
3.366 0 Td
[(p;)-165(p)]TJ
/F16 1 Tf
7.97011 0 0 7.97011 451.08 162.48 Tm
(0)Tj
/F13 1 Tf
10.90909 0 0 10.90909 457.32 158.52 Tm
(2)Tj
/F12 1 Tf
0.979 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 478.44 162.48 Tm
0 Tc
(l)Tj
/F12 1 Tf
10.90909 0 0 10.90909 481.44 158.52 Tm
(;)Tj
/F8 1 Tf
0.638 0 Td
[(decimos)-352(que)]TJ
/F12 1 Tf
-34.27599 -1.364 TD
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 123.96 149.88 Tm
(>)Tj
/F8 1 Tf
10.90909 0 0 10.90909 123 143.64 Tm
(=)Tj
/F12 1 Tf
1.056 0 Td
(p)Tj
/F16 1 Tf
7.97011 0 0 7.97011 140.04 147.6 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 142.8 143.64 Tm
(,)Tj
/F12 1 Tf
0.616 0 Td
(p)Tj
/F13 1 Tf
0.781 0 Td
<15>Tj
/F12 1 Tf
1.056 0 Td
(p)Tj
/F16 1 Tf
7.97011 0 0 7.97011 175.08 147.6 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 177.84 143.64 Tm
(,)Tj
/F12 1 Tf
0.605 0 Td
0.275 Tc
(p>p)Tj
/F16 1 Tf
7.97011 0 0 7.97011 210 147.6 Tm
0 Tc
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 216.48 143.64 Tm
[(si)-330(se)-341(satisface)-352(resp)-33(ectiv)55(amen)33(te,)]TJ
/F12 1 Tf
13.75 0 Td
(p)Tj
/F13 1 Tf
0.726 0 Td
<00>Tj
/F12 1 Tf
1.001 0 Td
(p)Tj
/F16 1 Tf
7.97011 0 0 7.97011 390.84 147.6 Tm
(0)Tj
/F15 1 Tf
0.84315 0.28607 TD
(>)Tj
/F8 1 Tf
10.90909 0 0 10.90909 396.6 143.64 Tm
0.275 Tc
[(=0)275(,)]TJ
/F12 1 Tf
2.167 0 Td
0 Tc
(p)Tj
/F13 1 Tf
0.726 0 Td
<00>Tj
/F12 1 Tf
1.001 0 Td
(p)Tj
/F16 1 Tf
7.97011 0 0 7.97011 444.6 147.6 Tm
(0)Tj
/F13 1 Tf
10.90909 0 0 10.90909 450.36 143.64 Tm
<15>Tj
/F8 1 Tf
1.056 0 Td
(0,)Tj
/F12 1 Tf
1.111 0 Td
(p)Tj
/F13 1 Tf
0.726 0 Td
<00>Tj
/F12 1 Tf
1.001 0 Td
(p)Tj
/F16 1 Tf
7.97011 0 0 7.97011 498.36 147.6 Tm
(0)Tj
/F12 1 Tf
10.90909 0 0 10.90909 504.12 143.64 Tm
(>)Tj
/F8 1 Tf
1.056 0 Td
(0.)Tj
-35.43099 -2.299 TD
(i\))Tj
/F12 1 Tf
1.166 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 152.28 122.52 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 169.44 118.56 Tm
[(denota)-341(el)-341(conjun)33(to)-330(de)-341(to)-33(dos)-330(los)-341(v)33(ectores)]TJ
/F12 1 Tf
17.82 0 Td
(x)Tj
/F13 1 Tf
0.847 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 393.84 122.52 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 400.56 118.56 Tm
(y)Tj
/F12 1 Tf
0.858 0 Td
0.275 Tc
(x>)Tj
/F8 1 Tf
1.903 0 Td
0 Tc
(0.)Tj
-27.929 -2.299 TD
[(ii\))-517(Sea)]TJ
/F13 1 Tf
3.278 0 Td
<17>Tj
/F8 1 Tf
1.111 0 Td
[(una)-330(relaci\023)495(on)-352(de)-330(preferencias)-330(en)]TJ
/F12 1 Tf
13.827 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 335.16 97.44 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
ET
endstream
endobj
6 0 obj
<<
/Length 17990
>>
stream
/GS4 gs
BT
/F8 1 Tf
10.90909 0 0 10.90909 72 722.16 Tm
0 g
(4)Tj
/F11 1 Tf
15.191 0 Td
[(o.)-374(a)22(cu)]TJ
3.168 0.088 TD
(~)Tj
-0.033 -0.088 TD
[(na)-363({)-385(f.)-374(ula)66(te)]TJ
/F8 1 Tf
-15.4 -3.278 TD
((a))Tj
/F13 1 Tf
1.771 0 Td
<17>Tj
/F8 1 Tf
1.111 0 Td
[(se)-319(dice)-330(ser)-330(estrictamen)33(te)-352(monot\023)495(onica,)-341(si)]TJ
/F12 1 Tf
17.611 0 Td
(v)Tj
/F13 1 Tf
0.803 0 Td
<15>Tj
/F12 1 Tf
1.056 0 Td
(x)Tj
/F8 1 Tf
0.891 0 Td
(implica)Tj
/F12 1 Tf
3.498 0 Td
(v)Tj
/F13 1 Tf
0.792 0 Td
<1F>Tj
/F12 1 Tf
1.056 0 Td
(x)Tj
/F8 1 Tf
0.902 0 Td
(\()Tj
/F12 1 Tf
(v)Tj
/F13 1 Tf
1.188 0 Td
<1F>Tj
/F12 1 Tf
1.056 0 Td
(x)Tj
/F8 1 Tf
0.891 0 Td
[(denota)-330(la)]TJ
-30.85499 -1.243 TD
[(condici\023)495(on)]TJ
/F12 1 Tf
4.444 0 Td
(v)Tj
/F13 1 Tf
0.803 0 Td
<17>Tj
/F12 1 Tf
1.056 0 Td
(x)Tj
/F8 1 Tf
0.902 0 Td
(y)Tj
/F13 1 Tf
0.858 0 Td
(:)Tj
/F8 1 Tf
0.671 0 Td
(\()Tj
/F12 1 Tf
(x)Tj
/F13 1 Tf
1.243 0 Td
<17>Tj
/F12 1 Tf
1.056 0 Td
(v)Tj
/F8 1 Tf
0.517 0 Td
(\)\))Tj
-13.376 -1.606 TD
((b))Tj
/F13 1 Tf
1.826 0 Td
<17>Tj
/F8 1 Tf
1.111 0 Td
[(es)-341(con)33(tin)33(ua)-352(si)]TJ
/F13 1 Tf
6.237 0 Td
<1712>Tj
/F12 1 Tf
1.837 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 233.88 659.28 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F13 1 Tf
10.90909 0 0 10.90909 249.84 655.32 Tm
<02>Tj
/F12 1 Tf
0.99 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 271.08 659.28 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 288.36 655.32 Tm
[(es)-330(cerrado)]TJ
-16.852 -1.595 TD
((c))Tj
/F13 1 Tf
1.716 0 Td
<17>Tj
/F8 1 Tf
1.111 0 Td
[(es)-341(con)33(v)33(exa)-352(si)]TJ
/F12 1 Tf
5.962 0 Td
(x)Tj
/F13 1 Tf
0.847 0 Td
<17>Tj
/F12 1 Tf
1.056 0 Td
(z)Tj
/F8 1 Tf
0.836 0 Td
(implica)Tj
/F12 1 Tf
3.509 0 Td
<0B78>Tj
/F8 1 Tf
1.43 0 Td
0.22 Tc
[(+\()220(1)]TJ
/F13 1 Tf
2.112 0 Td
0 Tc
<00>Tj
/F12 1 Tf
1.001 0 Td
<0B>Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
(z)Tj
/F13 1 Tf
1.815 0 Td
<17>Tj
/F12 1 Tf
1.056 0 Td
(z)Tj
/F8 1 Tf
0.506 0 Td
[(,)-341(para)-341(to)-33(do)-330(0)]TJ
/F13 1 Tf
5.984 0 Td
<14>Tj
/F12 1 Tf
1.056 0 Td
<0B>Tj
/F13 1 Tf
0.924 0 Td
<14>Tj
/F8 1 Tf
1.056 0 Td
(1)Tj
-32.08699 -1.606 TD
((d))Tj
/F13 1 Tf
1.826 0 Td
<17>Tj
/F8 1 Tf
1.111 0 Td
[(es)-341(estrictamen)33(te)-363(con)33(v)33(exa)-352(si)]TJ
/F12 1 Tf
12.166 0 Td
(x)Tj
/F13 1 Tf
0.847 0 Td
<17>Tj
/F12 1 Tf
1.056 0 Td
(z)Tj
/F8 1 Tf
0.836 0 Td
(y)Tj
/F12 1 Tf
0.869 0 Td
(x)Tj
/F13 1 Tf
0.847 0 Td
(6)Tj
/F8 1 Tf
(=)Tj
/F12 1 Tf
1.056 0 Td
(z)Tj
/F8 1 Tf
0.836 0 Td
(implica)Tj
/F12 1 Tf
3.509 0 Td
<0B78>Tj
/F8 1 Tf
1.43 0 Td
0.22 Tc
[(+\()220(1)]TJ
/F13 1 Tf
2.112 0 Td
0 Tc
<00>Tj
/F12 1 Tf
1.001 0 Td
<0B>Tj
/F8 1 Tf
0.638 0 Td
(\))Tj
/F12 1 Tf
(z)Tj
/F13 1 Tf
1.177 0 Td
<1F>Tj
/F12 1 Tf
1.056 0 Td
(z)Tj
/F8 1 Tf
-32.26299 -1.595 TD
((e))Tj
/F13 1 Tf
1.716 0 Td
<17>Tj
/F8 1 Tf
1.111 0 Td
[(satisface)-352(la)-341(condici\023)495(on)-341(de)-341(fron)33(tera)-341(si)-330(para)-330(to)-33(do)]TJ
/F12 1 Tf
20.251 0 Td
(x)Tj
/F13 1 Tf
1.177 0 Td
(2)Tj
/F12 1 Tf
1.287 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 393.6 606.96 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 410.76 603 Tm
[(el)-341(conjun)33(to)]TJ
/F13 1 Tf
-26.356 -1.24299 TD
(f)Tj
/F12 1 Tf
0.495 0 Td
(x)Tj
/F13 1 Tf
1.188 0 Td
(2)Tj
/F12 1 Tf
1.276 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 165.96 593.4 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F12 1 Tf
10.90909 0 0 10.90909 183.12 589.44 Tm
0.341 Tc
(=z)Tj
/F13 1 Tf
1.628 0 Td
0 Tc
<17>Tj
/F12 1 Tf
1.386 0 Td
(x)Tj
/F13 1 Tf
0.902 0 Td
(g)Tj
/F8 1 Tf
0.836 0 Td
[(es)-341(cerrado)]TJ
/F12 1 Tf
4.73 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 297 593.4 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 105.12 571.92 Tm
[(\(f)-77(\))]TJ
/F13 1 Tf
1.661 0 Td
<17>Tj
/F8 1 Tf
1.078 0 Td
[(es)-286(de)-297(clase)]TJ
/F12 1 Tf
4.774 0 Td
(C)Tj
/F15 1 Tf
7.97011 0 0 7.97011 195.72 575.88 Tm
(r)Tj
/F8 1 Tf
10.90909 0 0 10.90909 203.4 571.92 Tm
[(\(o)-297(simplemen)33(te)]TJ
/F12 1 Tf
6.897 0 Td
(C)Tj
/F15 1 Tf
7.97011 0 0 7.97011 287.28 575.88 Tm
(r)Tj
/F8 1 Tf
10.90909 0 0 10.90909 291.72 571.92 Tm
(\),)Tj
/F12 1 Tf
0.968 0 Td
(r)Tj
/F13 1 Tf
0.748 0 Td
<15>Tj
/F8 1 Tf
1.056 0 Td
0.308 Tc
[(0s)308(i)]TJ
/F12 1 Tf
1.76 0 Td
0 Tc
(@)Tj
/F13 1 Tf
0.869 0 Td
<17>Tj
/F8 1 Tf
0.781 0 Td
(=)Tj
/F13 1 Tf
1.045 0 Td
(f)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
[(x;)-165(z)]TJ
/F8 1 Tf
2.398 0 Td
(\))Tj
/F13 1 Tf
0.495 0 Td
(2)Tj
/F12 1 Tf
0.781 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 421.08 575.88 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F13 1 Tf
10.90909 0 0 10.90909 434.64 571.92 Tm
<02>Tj
/F12 1 Tf
0.759 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 453.36 575.88 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F12 1 Tf
10.90909 0 0 10.90909 466.8 571.92 Tm
(=x)Tj
/F13 1 Tf
1.342 0 Td
<18>Tj
/F12 1 Tf
1.056 0 Td
(z)Tj
/F13 1 Tf
0.506 0 Td
(g)Tj
/F8 1 Tf
-34.397 -1.232 TD
[(es)-418(una)]TJ
/F12 1 Tf
3.289 0 Td
(C)Tj
/F15 1 Tf
7.97011 0 0 7.97011 167.76 562.44 Tm
(r)Tj
/F8 1 Tf
10.90909 0 0 10.90909 172.2 558.48 Tm
[(-sub)33(v)55(ariedad)-418(de)]TJ
/F12 1 Tf
7.337 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 262.68 562.44 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F13 1 Tf
10.90909 0 0 10.90909 279.24 558.48 Tm
<02>Tj
/F12 1 Tf
1.056 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 301.2 562.44 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 319.32 558.48 Tm
[(de)-418(dimensi\023)495(on)-407(2)]TJ
/F12 1 Tf
6.721 0 Td
(l)Tj
/F13 1 Tf
0.605 0 Td
<00>Tj
/F8 1 Tf
1.056 0 Td
0.418 Tc
(1\()Tj
/F12 1 Tf
1.298 0 Td
0 Tc
(x)Tj
/F13 1 Tf
0.99 0 Td
<18>Tj
/F12 1 Tf
1.199 0 Td
(z)Tj
/F8 1 Tf
0.924 0 Td
[(denota)-418(la)]TJ
-30.76699 -1.243 TD
[(condici\023)495(on)]TJ
/F12 1 Tf
4.532 0 Td
(x)Tj
/F13 1 Tf
0.99 0 Td
<17>Tj
/F12 1 Tf
1.199 0 Td
(z)Tj
/F8 1 Tf
0.924 0 Td
(y)Tj
/F12 1 Tf
0.946 0 Td
(z)Tj
/F13 1 Tf
0.935 0 Td
<17>Tj
/F12 1 Tf
1.199 0 Td
(x)Tj
/F8 1 Tf
[(\))-418(y)-418(adem\023)495(as)-429(para)-418(to)-33(do)]TJ
/F12 1 Tf
10.725 0 Td
(x)Tj
/F13 1 Tf
0.99 0 Td
(2)Tj
/F12 1 Tf
1.089 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 390.36 548.88 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 408.48 544.92 Tm
[(y)-418(to)-33(do)]TJ
/F12 1 Tf
3.333 0 Td
<0F>Tj
/F13 1 Tf
0.825 0 Td
<15>Tj
/F8 1 Tf
1.199 0 Td
[(0)-429(existe)]TJ
/F12 1 Tf
-31.50399 -1.243 TD
(z)Tj
/F13 1 Tf
0.792 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 152.64 535.32 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 169.8 531.36 Tm
[(tal)-341(que)]TJ
/F12 1 Tf
3.355 0 Td
(z)Tj
/F13 1 Tf
0.792 0 Td
<1F>Tj
/F12 1 Tf
1.056 0 Td
(x)Tj
/F8 1 Tf
0.902 0 Td
(y)Tj
/F13 1 Tf
0.858 0 Td
(k)Tj
/F12 1 Tf
(z)Tj
/F13 1 Tf
1.232 0 Td
<00>Tj
/F12 1 Tf
1.001 0 Td
(x)Tj
/F13 1 Tf
0.572 0 Td
(k)Tj
/F12 1 Tf
0.781 0 Td
0.275 Tc
<3C0E>Tj
/F8 1 Tf
1.87 0 Td
0 Tc
(\()Tj
/F13 1 Tf
0.385 0 Td
<17>Tj
/F8 1 Tf
1.111 0 Td
[(es)-341(lo)-33(calmen)33(te)-352(no)-341(so)-33(ciada\))]TJ
-19.954 -1.606 TD
((g))Tj
/F13 1 Tf
1.771 0 Td
<17>Tj
/F8 1 Tf
1.122 0 Td
[(es)-352(I.E.C.)-341(si)-341(es)-352(C)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 212.4 517.8 Tm
(r)Tj
/F8 1 Tf
10.90909 0 0 10.90909 216.84 513.84 Tm
(,)Tj
/F12 1 Tf
0.627 0 Td
(r)Tj
/F13 1 Tf
0.77 0 Td
<15>Tj
/F8 1 Tf
1.078 0 Td
0.341 Tc
[(2e)341(n)]TJ
/F12 1 Tf
2.189 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 278.16 517.8 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 291.6 513.84 Tm
[(,)-352(para)-341(cada)]TJ
/F12 1 Tf
5.258 0 Td
(x)Tj
/F13 1 Tf
0.869 0 Td
(2)Tj
/F12 1 Tf
0.957 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 379.32 517.8 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 396.6 513.84 Tm
[(la)-352(curv)55(atura)-341(gaussiana)]TJ
-25.05799 -1.243 TD
(C)Tj
/F15 1 Tf
7.97011 0 0 7.97011 131.16 498.6 Tm
(x)Tj
/F8 1 Tf
10.90909 0 0 10.90909 140.4 500.28 Tm
(de)Tj
/F12 1 Tf
1.364 0 Td
(x)Tj
/F8 1 Tf
0.935 0 Td
(en)Tj
/F12 1 Tf
1.364 0 Td
(I)Tj
/F15 1 Tf
7.97011 0 0 7.97011 185.16 498.6 Tm
(x)Tj
/F8 1 Tf
10.90909 0 0 10.90909 194.04 500.28 Tm
(=)Tj
/F13 1 Tf
1.111 0 Td
(f)Tj
/F12 1 Tf
(y)Tj
/F13 1 Tf
1.353 0 Td
(2)Tj
/F12 1 Tf
1.001 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 242.28 504.24 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F12 1 Tf
10.90909 0 0 10.90909 255.84 500.28 Tm
(=x)Tj
/F13 1 Tf
1.397 0 Td
<18>Tj
/F12 1 Tf
1.111 0 Td
(y)Tj
/F13 1 Tf
0.528 0 Td
(g)Tj
/F8 1 Tf
0.858 0 Td
[(v)55(ariedad)-363(de)-374(indeferencia)-363(de)]TJ
/F12 1 Tf
12.353 0 Td
(x)Tj
/F8 1 Tf
0.935 0 Td
[(\(V)88(er)-374(Acu)-33(~)]TJ
4.004 0 Td
(na{)Tj
-33.341 -1.243 TD
[(Ulate,)-286(1991\))-275(es)-264(diferen)33(te)-264(de)-264(0)-264(y)-253(adem\023)495(as)-264(la)-264(relaci\023)495(on)-275(de)-264(preferencia)-264(es)-253(estrictamen)33(te)]TJ
0 -1.232 TD
[(con)33(v)33(exa)]TJ
-3.916 -2.057 TD
[(iii\))-935((a))-506(Una)-341(asignaci\023)495(on)-352(es)-330(un)-319(v)33(ector)]TJ
/F12 1 Tf
16.511 0 Td
(x)Tj
/F8 1 Tf
0.858 0 Td
0.275 Tc
(=\()Tj
/F12 1 Tf
1.441 0 Td
0 Tc
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 291.96 449.16 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 295.32 450.84 Tm
0.341 Tc
[(\)e)341(n)11(\()]TJ
/F12 1 Tf
2.442 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 332.4 454.8 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 345.96 450.84 Tm
(\))Tj
/F15 1 Tf
7.97011 0 0 7.97011 350.16 454.8 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 103.32 433.32 Tm
[((b))-495(Una)-451(asignaci\023)495(on)]TJ
/F12 1 Tf
9.031 0 Td
(x)Tj
/F8 1 Tf
1.034 0 Td
0.462 Tc
(=\()Tj
/F12 1 Tf
1.628 0 Td
0 Tc
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 237.12 431.64 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 240.48 433.32 Tm
[(\))-451(es)-451(alcanzable)-462(si)]TJ
/F14 1 Tf
8.184 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 341.28 438.36 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 357.24 433.32 Tm
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 363.48 431.64 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 372 433.32 Tm
<14>Tj
/F14 1 Tf
1.243 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 397.08 438.36 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 413.04 433.32 Tm
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 420.84 431.64 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 424.2 433.32 Tm
[(,)-451(donde)]TJ
/F12 1 Tf
3.784 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 473.28 431.64 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 481.56 433.32 Tm
[(es)-440(la)]TJ
-32.84599 -1.243 TD
[(canasta)-352(inicial)-352(de)-330(bienes)-330(del)-341(individuo)]TJ
/F12 1 Tf
16.929 0 Td
(i)Tj
/F8 1 Tf
(.)Tj
-20.823 -2.057 TD
[(iv\))-506(Una)-451(asignaci\023)495(on)-462(alcanzable)]TJ
/F12 1 Tf
13.838 0 Td
(x)Tj
/F8 1 Tf
1.012 0 Td
[(es)-451(un)-429(equilibrio)-451(de)-440(precios)-451(si)-440(existe)-462(un)-429(v)33(ector)]TJ
/F12 1 Tf
20.966 0 Td
(p)Tj
/F13 1 Tf
0.968 0 Td
<15>Tj
/F8 1 Tf
1.232 0 Td
(0,)Tj
/F12 1 Tf
-36.32199 -1.243 TD
(p)Tj
/F13 1 Tf
0.781 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 128.52 387.72 Tm
0 Tc
(l)Tj
/F12 1 Tf
10.90909 0 0 10.90909 131.64 383.76 Tm
(;)Tj
/F8 1 Tf
0.572 0 Td
[(tal)-297(que)]TJ
/F12 1 Tf
3.278 0 Td
(p)Tj
/F13 1 Tf
0.649 0 Td
<01>Tj
/F14 1 Tf
0.418 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 196.8 388.8 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 212.88 383.76 Tm
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 220.68 382.08 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 227.04 383.76 Tm
<14>Tj
/F12 1 Tf
1.056 0 Td
(p)Tj
/F13 1 Tf
0.649 0 Td
<01>Tj
/F14 1 Tf
0.418 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 261.72 388.8 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 277.8 383.76 Tm
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 284.04 382.08 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 290.52 383.76 Tm
[(y)-297(para)-297(to)-33(do)]TJ
/F12 1 Tf
5.335 0 Td
(i)Tj
/F8 1 Tf
0.297 Tc
[(,s)297(i)]TJ
/F12 1 Tf
1.881 0 Td
0 Tc
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 375.48 387.72 Tm
(0)Tj
/F15 1 Tf
0 -0.87326 TD
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 381.84 383.76 Tm
<1F>Tj
/F15 1 Tf
7.97011 0 0 7.97011 390.36 382.08 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 396.84 383.76 Tm
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 403.08 382.08 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 406.44 383.76 Tm
[(,)-297(en)33(tonces)]TJ
/F12 1 Tf
4.565 0 Td
(px)Tj
/F16 1 Tf
7.97011 0 0 7.97011 468 387.72 Tm
(0)Tj
/F15 1 Tf
0 -0.87326 TD
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 474.36 383.76 Tm
0.275 Tc
[(>p)275(x)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 497.64 382.08 Tm
0 Tc
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 501 383.76 Tm
(.)Tj
-38.24699 -2.057 TD
[(v\))-506(Una)-286(asignaci\023)495(on)-286(alcanzable)]TJ
/F12 1 Tf
13.068 0 Td
(x)Tj
/F8 1 Tf
0.847 0 Td
[(es)-286<13>495(optima)-286(si)-275(no)-275(existe)-297(ninguna)-264(otra)-286(asignaci\023)495(on)-297(alcanzable)]TJ
/F12 1 Tf
-12.496 -1.243 TD
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 105.48 351.72 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 111.96 347.76 Tm
[(tal)-341(que,)-341(para)-330(cada)]TJ
/F12 1 Tf
8.25 0 Td
(i)Tj
/F8 1 Tf
(,)Tj
/F12 1 Tf
0.957 0 Td
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 218.64 351.72 Tm
(0)Tj
/F15 1 Tf
0 -0.87326 TD
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 225 347.76 Tm
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 233.52 346.08 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 239.88 347.76 Tm
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 246.12 346.08 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 253.2 347.76 Tm
[(y)-330(existe)]TJ
/F12 1 Tf
3.674 0 Td
(j)Tj
/F8 1 Tf
0.803 0 Td
(con)Tj
/F12 1 Tf
1.826 0 Td
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 328.2 351.72 Tm
(0)Tj
/F15 1 Tf
0 -0.87326 TD
(j)Tj
/F13 1 Tf
10.90909 0 0 10.90909 335.64 347.76 Tm
<1F>Tj
/F12 1 Tf
1.056 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 353.4 346.08 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 357.84 347.76 Tm
(.)Tj
/F7 1 Tf
14.34624 0 0 14.34624 72 313.44 Tm
[(2.)-1130(Desarrollo)-395(y)-376(pruebas)-370(matem)9<13>]TJ
15.95122 0 Td
(aticas)Tj
/F8 1 Tf
10.90909 0 0 10.90909 88.92 289.08 Tm
[(En)-451(este)-473(traba)-55(jo)-473(sup)-33(ondremos)-429(una)-462(situaci\023)495(on)-462(de)-462(in)33(tercam)33(bio,)-484(sin)-451(pro)-33(ducci\023)495(on.)-462(Nuestro)]TJ
-1.551 -1.243 TD
[(mo)-33(delo)-319(de)-308(la)-330(econom)110<13>]TJ
9.13 0 Td
[<1061>-330(consta)-319(de)]TJ
/F12 1 Tf
5.511 0 Td
(l)Tj
/F8 1 Tf
0.627 0 Td
[(bienes)-319(y)]TJ
/F12 1 Tf
3.828 0 Td
(n)Tj
/F8 1 Tf
0.913 0 Td
[(individuos,)-308(donde)]TJ
/F12 1 Tf
7.997 0 Td
(n)Tj
/F8 1 Tf
0.913 0 Td
[(es)-319(un)-297(n)-33<13>]TJ
3.135 0 Td
[(umero)-308(\fnito)-319(p)-33(ero)]TJ
-32.05399 -1.232 TD
[(m)33(uy)-429(grande,)-440(de)-429(tal)-451(manera)-429(que)-429(las)-440(acciones)-462(de)-429(un)-418(individuo)-429(no)-429(afectan)-451(el)-440(precio)-440(de)-429(los)]TJ
0 -1.243 TD
(bienes.)Tj
1.551 -1.243 TD
[(Ha)33(y)-495(p)-33(erfecta)-495(informaci\023)495(on;)-495(completa)-506(lib)-33(ertad)-484(de)-484(en)33(trada,)-495(salida,)-495(con)33(trataci\023)495(on)-517(y)-484(con-)]TJ
-1.551 -1.243 TD
[(sumo;)-286(no)-297(hace)-308(diferencia)-297(con)-297(quien)-286(se)-297(con)33(trate)-319(ni)-286(ha)33(y)-297(externalidades.)-308(Los)-297(consumidores)-286(son)]TJ
T*
[(racionales)-385(en)-363(el)-363(sen)33(tido)-374(de)-363(que)-363(maximizan)-374(un)-352(niv)33(el)-374(de)-363(bienestar)-363(de)-363(acuerdo)-374(a)-363(su)-363(orden)-352(de)]TJ
(preferencias.)'
1.551 -1.243 TD
[(Con)-330(los)-341(supuestos)-330(an)33(teriores)-341(en)-330(men)33(te,)-352(de\fniremos)-319(una)-330(econom)110<13>]TJ
27.80799 0 Td
[<1061>-352(de)-330(in)33(tercam)33(bio.)]TJ
/F17 1 Tf
-29.359 -1.782 TD
[(De\fnici\023)572(on)-396(1)]TJ
/F8 1 Tf
6.721 0 Td
[(Una)-330(econom)110<13>385<1061>-352(de)-330(in)33(tercam)33(bio)]TJ
/F13 1 Tf
13.299 0 Td
(E)Tj
/F8 1 Tf
0.957 0 Td
[(es)-330(una)-330(colecci\023)495(on)-352(de)]TJ
/F12 1 Tf
8.657 0 Td
(n)Tj
/F8 1 Tf
0.935 0 Td
[(individuos,)-330(cada)-341(uno)]TJ
-30.56899 -1.243 TD
[(de)-363(los)-374(cuales)-385(p)-33(osee)-374(una)-363(relaci\023)495(on)-374(de)-374(preferencias)]TJ
/F13 1 Tf
21.252 0 Td
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 312.36 146.04 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 319.8 147.72 Tm
[(de\fnida)-352(en)]TJ
/F12 1 Tf
5.181 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 386.76 151.68 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 404.28 147.72 Tm
[(y)-374(una)-363(canasta)-385(inicial)]TJ
-30.45899 -1.243 TD
[(de)-330(bienes)]TJ
/F12 1 Tf
4.334 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 127.08 132.48 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 133.56 134.16 Tm
(2)Tj
/F12 1 Tf
0.946 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 154.32 138.12 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 167.88 134.16 Tm
(.)Tj
-7.238 -1.243 TD
[(Sup)-33(oniendo)-451(que)-462(las)-473(preferencias)-462(de)-473(to)-33(dos)-462(los)-473(individuos)-462(son)-462(estrictamen)33(te)-495(con)33(v)33(exas,)]TJ
-1.551 -1.243 TD
[(con)33(tin)33(uas)-462(y)-440(estrictamen)33(te)-473(monot\023)495(onicas,)-462(la)-462(maximizaci\023)495(on)-462(de)-451(bienestar)-440(p)-33(or)-440(parte)-451(de)-440(cada)]TJ
T*
[(individuo,)-407(nos)-407(p)-33(ermite)-407(obtener)-407(una)-407(funci\023)495(on)-396(de)-418(demanda)]TJ
/F12 1 Tf
25.476 0 Td
(g)Tj
/F15 1 Tf
7.97011 0 0 7.97011 355.08 91.8 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 358.56 93.48 Tm
(:)Tj
/F12 1 Tf
0.44 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 373.8 97.44 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F13 1 Tf
10.90909 0 0 10.90909 391.8 93.48 Tm
-0.176 Tc
<0021>Tj
/F12 1 Tf
2.013 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 424.2 97.44 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 437.76 93.48 Tm
[(,)-407(para)-407(cada)]TJ
/F12 1 Tf
5.445 0 Td
(i)Tj
/F8 1 Tf
(,)Tj
ET
endstream
endobj
7 0 obj
<<
/Length 34723
>>
stream
/GS4 gs
BT
/F11 1 Tf
10.90909 0 0 10.90909 184.56 722.16 Tm
0 g
[(equilibrio)-374(w)88(alrasiano)-352(en)-374(econom)]TJ
16.731 0.088 TD
<13>Tj
0.121 -0.088 TD
[(\020as)-363(de)-374(inter)22(cambio)]TJ
/F8 1 Tf
15.82899 0 Td
(5)Tj
-39.10499 -3.278 TD
[(tal)-374(que)]TJ
/F12 1 Tf
3.421 0 Td
(g)Tj
/F15 1 Tf
7.97011 0 0 7.97011 156.96 684.72 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 160.44 686.4 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(q)Tj
/F8 1 Tf
0.484 0 Td
0.33 Tc
(\)=)Tj
/F12 1 Tf
1.826 0 Td
0 Tc
(')Tj
/F15 1 Tf
7.97011 0 0 7.97011 196.92 684.72 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 200.28 686.4 Tm
(\()Tj
/F13 1 Tf
0.385 0 Td
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 213 684.72 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 216.48 686.4 Tm
0.165 Tc
[(;q)132(;q)]TJ
/F13 1 Tf
2.09 0 Td
0 Tc
<01>Tj
/F12 1 Tf
0.517 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 252.72 684.72 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 256.2 686.4 Tm
[(\),)-363(donde)]TJ
/F12 1 Tf
4.004 0 Td
(')Tj
/F15 1 Tf
7.97011 0 0 7.97011 306.96 684.72 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 314.28 686.4 Tm
[(es)-374(la)-363(funci\023)495(on)-363(de)-363(demanda)-352(de)-363(la)-374(prop)-33(osici\023)495(on)-363(3)-363(de)]TJ
-18.315 -1.243 TD
[(Acu)-33(~)]TJ
1.749 0 Td
[(na{Ulate)-363((1991).)]TJ
-0.198 -1.309 TD
[(La)-396(funci\023)495(on)]TJ
/F12 1 Tf
5.093 0 Td
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 192.36 656.88 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 195.72 658.56 Tm
(:)Tj
/F12 1 Tf
0.44 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 210.96 662.52 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F13 1 Tf
10.90909 0 0 10.90909 228.48 658.56 Tm
-0.165 Tc
<0021>Tj
/F12 1 Tf
1.98 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 260.52 662.52 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 267.84 658.56 Tm
[(de\fnida)-374(p)-33(or)]TJ
/F12 1 Tf
5.687 0 Td
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 335.28 656.88 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 338.64 658.56 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.363 Tc
(\)=)Tj
/F12 1 Tf
2.398 0 Td
0 Tc
(g)Tj
/F15 1 Tf
7.97011 0 0 7.97011 374.16 656.88 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 377.64 658.56 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.506 0 Td
(\))Tj
/F13 1 Tf
0.649 0 Td
<00>Tj
/F12 1 Tf
1.034 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 413.52 656.88 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 421.08 658.56 Tm
[(es)-396(la)-385(funci\023)495(on)-385(de)-385(exceso)-396(de)]TJ
-28.105 -1.24299 TD
[(demanda)-330(del)-341(individuo)]TJ
/F12 1 Tf
10.307 0 Td
(i)Tj
/F8 1 Tf
(.)Tj
/F17 1 Tf
-10.307 -1.30899 TD
[(De\fnici\023)572(on)-572(2)]TJ
/F8 1 Tf
7.216 0 Td
(Llamaremos)Tj
/F12 1 Tf
5.786 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(:)Tj
/F12 1 Tf
0.44 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 278.16 634.6801 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F13 1 Tf
10.90909 0 0 10.90909 297.36 630.72 Tm
-0.176 Tc
<0021>Tj
/F12 1 Tf
2.134 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 331.08 634.6801 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 337.8 630.72 Tm
[(dada)-330(p)-33(or)]TJ
/F12 1 Tf
4.257 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.517 Tc
(\)=)Tj
/F14 1 Tf
2.706 0.748 TD
0 Tc
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 436.08 635.76 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=)Tj
/F15 1 Tf
0.82809 0 Td
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 450.84 630.72 Tm
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 456.24 629.04 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 459.48 630.72 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
[(\),)-495(la)-484(funci\023)495(on)-473(de)]TJ
-32.00999 -1.243 TD
[(exceso)-352(de)-330(demanda)-330(agregada.)]TJ
/F17 1 Tf
0 -1.98 TD
[(Prop)-33(osici\023)572(on)-517(1)]TJ
/F8 1 Tf
7.887 0 Td
(Si)Tj
/F13 1 Tf
1.265 0 Td
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 222.84 593.88 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 230.76 595.56 Tm
[(es)-440(un)-418(orden)-418(de)-429(preferencias)-429(en)]TJ
/F12 1 Tf
14.124 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 395.28 599.52 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 413.4 595.56 Tm
[(tal)-440(que)]TJ
/F13 1 Tf
3.553 0 Td
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 460.68 593.88 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 468.72 595.56 Tm
[(es)-429(estrictamen)33(te)]TJ
-32.47199 -1.243 TD
[(monot\023)495(onico,)-341(con)33(tin)33(uo,)-341(estrictamen)33(te)-352(con)33(v)33(exo)-352(y)-319(satisface)-341(la)-330(condici\023)495(on)-330(de)-319(fron)33(tera.)-341(En)33(tonces)]TJ
T*
[(para)-297(to)-33(da)-308(secuencia)-308(\()]TJ
/F12 1 Tf
9.262 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 221.04 566.76 Tm
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 228.96 568.44 Tm
0.308 Tc
[(\)e)308(n)]TJ
/F12 1 Tf
1.991 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 261.12 572.4 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 277.8 568.44 Tm
[(tal)-308(que)]TJ
/F12 1 Tf
3.289 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 319.2 566.76 Tm
(m)Tj
/F13 1 Tf
10.90909 0 0 10.90909 330.24 568.44 Tm
-0.176 Tc
<0021>Tj
/F12 1 Tf
1.881 0 Td
0 Tc
(p)Tj
/F8 1 Tf
0.506 0 Td
(,)Tj
/F12 1 Tf
0.572 0 Td
(p)Tj
/F13 1 Tf
0.781 0 Td
(6)Tj
/F8 1 Tf
0.275 Tc
(=0)Tj
/F12 1 Tf
1.551 0 Td
0.308 Tc
(;p)Tj
/F8 1 Tf
1.386 0 Td
0 Tc
[(en)-286(la)-308(fron)33(tera)-308(de)]TJ
/F12 1 Tf
7.414 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 494.4 572.4 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 511.08 568.44 Tm
[(se)-297(tiene)]TJ
-36.35499 -1.24299 TD
(que)Tj
/F13 1 Tf
1.87 0 Td
(k)Tj
/F12 1 Tf
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 145.68 553.2 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 149.04 554.88 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 158.76 553.2 Tm
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 166.68 554.88 Tm
(\))Tj
/F13 1 Tf
0.286 Tc
[<6B00>451(!)]TJ
/F8 1 Tf
3.058 0 Td
0 Tc
(+)Tj
/F13 1 Tf
0.781 0 Td
(1)Tj
/F8 1 Tf
[(,)-330(donde)]TJ
/F12 1 Tf
4.554 0 Td
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 263.64 553.2 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 270.6 554.88 Tm
[(es)-341(la)-341(funci\023)495(on)-319(de)-330(exceso)-352(de)-330(demanda)-330(de)]TJ
/F13 1 Tf
17.182 0 Td
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 466.56 553.2 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 473.52 554.88 Tm
(y)Tj
/F12 1 Tf
0.858 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 490.68 553.2 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 497.16 554.88 Tm
(2)Tj
/F12 1 Tf
0.935 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 517.8 558.84 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 531.36 554.88 Tm
(.)Tj
/F17 1 Tf
-38.21399 -1.309 TD
(Prueba)Tj
/F8 1 Tf
4.631 0 Td
(Como)Tj
/F12 1 Tf
3.025 0 Td
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 203.4 538.92 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 206.64 540.6 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.506 Tc
(\)=)Tj
/F12 1 Tf
2.684 0 Td
0 Tc
(')Tj
/F15 1 Tf
7.97011 0 0 7.97011 247.2 538.92 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 250.56 540.6 Tm
(\()Tj
/F12 1 Tf
[(p;)-165(w)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 272.88 538.92 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 279.72 540.6 Tm
<01>Tj
/F12 1 Tf
0.594 0 Td
(p)Tj
/F8 1 Tf
0.506 0 Td
(\))Tj
/F13 1 Tf
0.693 0 Td
<00>Tj
/F12 1 Tf
1.089 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 318.96 538.92 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 322.44 540.6 Tm
[(,)-462(con)]TJ
/F12 1 Tf
2.706 0 Td
(')Tj
/F15 1 Tf
7.97011 0 0 7.97011 359.04 538.92 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 367.56 540.6 Tm
[(la)-473(funci\023)495(on)-462(de)-473(demanda,)-462(es)-473(su\fcien)33(te)]TJ
-23.199 -1.243 TD
[(probar)-363(que)-374(la)-385(secuencia)]TJ
/F12 1 Tf
10.758 0 Td
(y)Tj
/F15 1 Tf
7.97011 0 0 7.97011 237.24 525.36 Tm
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 248.88 527.04 Tm
(=)Tj
/F12 1 Tf
1.122 0 Td
(')Tj
/F15 1 Tf
7.97011 0 0 7.97011 268.2 525.36 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 271.68 527.04 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 281.4 525.36 Tm
(m)Tj
/F12 1 Tf
10.90909 0 0 10.90909 289.32 527.04 Tm
0.165 Tc
(;w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 301.92 525.36 Tm
0 Tc
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 308.16 527.04 Tm
<01>Tj
/F12 1 Tf
0.528 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 319.44 525.36 Tm
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 327.36 527.04 Tm
[(\))-374(es)-374(tal)-385(que)]TJ
/F13 1 Tf
5.412 0 Td
(k)Tj
/F12 1 Tf
(y)Tj
/F15 1 Tf
7.97011 0 0 7.97011 397.2 525.36 Tm
(m)Tj
/F13 1 Tf
10.90909 0 0 10.90909 405.24 527.04 Tm
0.341 Tc
[<6B00>506(!)]TJ
/F8 1 Tf
2.794 0 Td
0 Tc
(+)Tj
/F13 1 Tf
0.781 0 Td
(1)Tj
/F8 1 Tf
[(,)-374(dado)-374(que)]TJ
/F13 1 Tf
6.028 0 Td
(k)Tj
/F12 1 Tf
(y)Tj
/F15 1 Tf
7.97011 0 0 7.97011 520.8 525.36 Tm
(m)Tj
/F13 1 Tf
10.90909 0 0 10.90909 528.84 527.04 Tm
0.352 Tc
<6B14>Tj
-37.98299 -1.243 TD
0 Tc
(k)Tj
/F12 1 Tf
0.495 0 Td
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 125.28 511.8 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 128.64 513.48 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 138.36 511.8 Tm
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 146.4 513.48 Tm
(\))Tj
/F13 1 Tf
0.385 0 Td
(k)Tj
/F8 1 Tf
0.726 0 Td
(+)Tj
/F13 1 Tf
1.001 0 Td
(k)Tj
/F12 1 Tf
0.495 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 182.64 511.8 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 186.12 513.48 Tm
(k)Tj
/F8 1 Tf
0.495 0 Td
(.)Tj
-5.511 -1.298 TD
[(Probaremos)-231(primero)-231(que)-231(no)-231(existe)-242(elemen)33(to)-253(en)]TJ
/F12 1 Tf
20.13 0 Td
(B)Tj
/F8 1 Tf
0.814 0 Td
(\()Tj
/F12 1 Tf
[(p;)-165(p)]TJ
/F13 1 Tf
1.848 0 Td
<01>Tj
/F12 1 Tf
0.286 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 390.96 497.64 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 394.44 499.32 Tm
[(\))-231(que)-231(maximice)]TJ
/F13 1 Tf
6.743 0 Td
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 476.52 497.64 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 482.4 499.32 Tm
(en)Tj
/F12 1 Tf
1.232 0 Td
(B)Tj
/F8 1 Tf
0.814 0 Td
(\()Tj
/F12 1 Tf
[(p;)-165(p)]TJ
/F13 1 Tf
1.848 0 Td
<01>Tj
/F12 1 Tf
0.286 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 535.8 497.64 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 539.28 499.32 Tm
(\))Tj
/F12 1 Tf
0.385 0 Td
(:)Tj
/F8 1 Tf
-39.32499 -1.243 TD
(Sea)Tj
/F12 1 Tf
1.848 0 Td
(x)Tj
/F13 1 Tf
0.858 0 Td
(2)Tj
/F12 1 Tf
0.957 0 Td
(B)Tj
/F8 1 Tf
0.814 0 Td
(\()Tj
/F12 1 Tf
[(p;)-165(p)]TJ
/F13 1 Tf
2.057 0 Td
<01>Tj
/F12 1 Tf
0.506 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 199.08 484.08 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 202.44 485.76 Tm
(\))Tj
/F12 1 Tf
0.385 0 Td
(;)Tj
/F8 1 Tf
0.616 0 Td
(como)Tj
/F12 1 Tf
2.618 0 Td
(p)Tj
/F8 1 Tf
0.847 0 Td
[(p)-33(ertenece)-341(a)-352(la)-341(fron)33(tera)-352(de)]TJ
/F12 1 Tf
11.572 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 387.84 489.72 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 405 485.76 Tm
(existe)Tj
/F12 1 Tf
2.816 0 Td
(j)Tj
/F8 1 Tf
0.814 0 Td
[(tal)-352(que)]TJ
/F12 1 Tf
3.377 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 486.96 484.08 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 494.4 485.76 Tm
[(=)-286(0,)-352(p)-33(or)-330(lo)]TJ
-34.82599 -1.243 TD
[(tan)33(to)]TJ
/F12 1 Tf
2.64 0 Td
(x)Tj
/F8 1 Tf
0.792 0 Td
(+)Tj
/F12 1 Tf
1.001 0 Td
(e)Tj
/F15 1 Tf
7.97011 0 0 7.97011 167.88 470.52 Tm
(j)Tj
/F13 1 Tf
10.90909 0 0 10.90909 175.32 472.2 Tm
<1F>Tj
/F12 1 Tf
1.056 0 Td
(x)Tj
/F8 1 Tf
0.913 0 Td
0.33 Tc
(y\()Tj
/F12 1 Tf
1.243 0 Td
0 Tc
(x)Tj
/F8 1 Tf
0.792 0 Td
(+)Tj
/F12 1 Tf
1.001 0 Td
(e)Tj
/F15 1 Tf
7.97011 0 0 7.97011 234.96 470.52 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 239.4 472.2 Tm
(\))Tj
/F13 1 Tf
0.616 0 Td
<01>Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F8 1 Tf
0.781 0 Td
(=)Tj
/F12 1 Tf
1.056 0 Td
(p)Tj
/F13 1 Tf
0.726 0 Td
<01>Tj
/F12 1 Tf
0.506 0 Td
(x)Tj
/F13 1 Tf
0.847 0 Td
<14>Tj
/F12 1 Tf
1.056 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 313.56 470.52 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 316.92 472.2 Tm
[(,)-341(luego)]TJ
/F12 1 Tf
3.223 0 Td
(x)Tj
/F8 1 Tf
0.792 0 Td
(+)Tj
/F12 1 Tf
1.001 0 Td
(e)Tj
/F15 1 Tf
7.97011 0 0 7.97011 376.68 470.52 Tm
(j)Tj
/F13 1 Tf
10.90909 0 0 10.90909 384.12 472.2 Tm
(2)Tj
/F12 1 Tf
0.946 0 Td
(B)Tj
/F8 1 Tf
0.814 0 Td
(\()Tj
/F12 1 Tf
[(p;)-165(p)]TJ
/F13 1 Tf
2.057 0 Td
<01>Tj
/F12 1 Tf
0.495 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 438.96 470.52 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 442.44 472.2 Tm
(\))Tj
/F12 1 Tf
0.385 0 Td
(:)Tj
/F8 1 Tf
-28.89699 -1.309 TD
[(Sup)-33(onga)-473(p)-33(or)-462(con)33(tradicci\023)495(on)-495(que)]TJ
/F13 1 Tf
14.465 0 Td
(k)Tj
/F12 1 Tf
(y)Tj
/F15 1 Tf
7.97011 0 0 7.97011 300 456.24 Tm
(m)Tj
/F13 1 Tf
10.90909 0 0 10.90909 307.92 457.92 Tm
(k)Tj
/F8 1 Tf
0.979 0 Td
[(no)-473(con)33(v)33(erge)-495(a)]TJ
/F13 1 Tf
6.732 0 Td
(1)Tj
/F8 1 Tf
[(,)-473(esto)-484(implica)-484(que)-473(existe)-495(una)]TJ
-25.44299 -1.243 TD
(subsecuencia)Tj
/F12 1 Tf
5.907 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 185.16 442.56 Tm
(k)Tj
/F8 1 Tf
10.90909 0 0 10.90909 193.32 444.36 Tm
(=)Tj
/F12 1 Tf
1.056 0 Td
(y)Tj
/F15 1 Tf
7.97011 0 0 7.97011 210.24 442.68 Tm
(m)Tj
/F18 1 Tf
5.97758 0 0 5.97758 217.68 441.24 Tm
(k)Tj
/F8 1 Tf
10.90909 0 0 10.90909 226.32 444.36 Tm
[(acotada.)-363(P)33(o)-33(demos)-330(sup)-33(oner)-319(que)]TJ
/F12 1 Tf
13.86 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 383.76 442.56 Tm
(k)Tj
/F13 1 Tf
10.90909 0 0 10.90909 391.92 444.36 Tm
-0.165 Tc
<0021>Tj
/F12 1 Tf
1.892 0 Td
0 Tc
(z)Tj
/F8 1 Tf
0.506 0 Td
[(,)-341(para)-330(alg)-33<13>]TJ
4.158 0 Td
(un)Tj
/F12 1 Tf
1.452 0 Td
(z)Tj
/F8 1 Tf
0.506 0 Td
(.)Tj
-32.39499 -1.309 TD
[(Observ)33(emos)-363(primero)-341(que)]TJ
/F12 1 Tf
11.22 0 Td
(z)Tj
/F13 1 Tf
0.825 0 Td
(2)Tj
/F12 1 Tf
0.968 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 283.8 434.04 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 297.36 430.08 Tm
[(.)-352(Sup)-33(onga)-341(que)]TJ
/F12 1 Tf
6.611 0 Td
(z)Tj
/F13 1 Tf
0.825 0 Td
(62)Tj
/F12 1 Tf
0.968 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 399.48 434.04 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 413.04 430.08 Tm
[(,)-363(como)]TJ
/F12 1 Tf
3.267 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 454.92 428.28 Tm
(k)Tj
/F13 1 Tf
10.90909 0 0 10.90909 463.32 430.08 Tm
-0.165 Tc
<0021>Tj
/F12 1 Tf
1.925 0 Td
0 Tc
(z)Tj
/F8 1 Tf
0.506 0 Td
[(,)-363(en)33(tonces)]TJ
/F12 1 Tf
4.686 0 Td
(z)Tj
/F8 1 Tf
-39.09399 -1.243 TD
[(p)-33(ertenece)-341(a)-341(la)-341(fron)33(tera)-341(de)]TJ
/F12 1 Tf
11.539 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 250.8 420.48 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 264.36 416.52 Tm
[(,)-330(luego)-352(existe)]TJ
/F12 1 Tf
6.028 0 Td
(j)Tj
/F4 1 Tf
7.97011 0 0 7.97011 334.56 414.84 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 342.96 416.52 Tm
[(tal)-352(que)]TJ
/F12 1 Tf
3.366 0 Td
(z)Tj
/F15 1 Tf
7.97011 0 0 7.97011 384.72 414.84 Tm
(j)Tj
/F9 1 Tf
5.97758 0 0 5.97758 388.2 413.76 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 395.88 416.52 Tm
0.275 Tc
[(=0)275(.)]TJ
-24.244 -1.298 TD
0 Tc
(Sean)Tj
/F12 1 Tf
2.486 0 Td
(s)Tj
/F8 1 Tf
0.902 0 Td
[(=)-440<6D13>495(ax)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 201.96 400.56 Tm
(p)Tj
/F18 1 Tf
5.97758 0 0 5.97758 206.28 399.36 Tm
(j)Tj
/F16 1 Tf
7.97011 0 0 7.97011 210.12 400.56 Tm
(6)Tj
/F4 1 Tf
(=0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 221.4 402.36 Tm
(\()Tj
/F12 1 Tf
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 233.4 400.68 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 236.88 402.36 Tm
(=p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 247.8 400.68 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 252.24 402.36 Tm
0.286 Tc
[(\)+1)286(,)]TJ
/F12 1 Tf
3.377 0 Td
0 Tc
(v)Tj
/F8 1 Tf
0.517 0 Td
[((0))-451(=)]TJ
/F14 1 Tf
2.926 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 338.16 399.12 Tm
(j)Tj
/F16 1 Tf
0.49686 0 Td
(6)Tj
/F4 1 Tf
(=)Tj
/F15 1 Tf
0.82809 0 Td
(j)Tj
/F9 1 Tf
5.97758 0 0 5.97758 352.2 398.04 Tm
(0)Tj
/F12 1 Tf
10.90909 0 0 10.90909 358.56 402.36 Tm
(se)Tj
/F15 1 Tf
7.97011 0 0 7.97011 368.76 400.68 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 377.76 402.36 Tm
(y)Tj
/F12 1 Tf
0.957 0 Td
(x)Tj
/F13 1 Tf
1.012 0 Td
(2)Tj
/F12 1 Tf
1.1 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 421.68 406.32 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 439.8 402.36 Tm
[(tal)-440(que)]TJ
/F12 1 Tf
3.553 0 Td
(p)Tj
/F13 1 Tf
0.792 0 Td
<01>Tj
/F12 1 Tf
0.561 0 Td
0.44 Tc
[(x<)11(w)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 525.36 400.68 Tm
0 Tc
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 531.84 402.36 Tm
<01>Tj
/F12 1 Tf
0.561 0 Td
(p)Tj
/F8 1 Tf
0.506 0 Td
(.)Tj
-39.32499 -1.408 TD
(Como)Tj
/F13 1 Tf
2.948 0 Td
<17>Tj
/F8 1 Tf
1.177 0 Td
[(satisface)-418(la)-396(condici\023)495(on)-407(de)-396(fron)33(tera,)-396(en)33(tonces)]TJ
/F12 1 Tf
19.327 0 Td
(L)Tj
/F15 1 Tf
7.97011 0 0 7.97011 377.76 385.32 Tm
(x)Tj
/F8 1 Tf
10.90909 0 0 10.90909 387.24 387 Tm
(=)Tj
/F13 1 Tf
1.155 0 Td
(f)Tj
/F12 1 Tf
0.495 0 Td
(y)Tj
/F13 1 Tf
0.913 0 Td
(2)Tj
/F12 1 Tf
1.045 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 437.04 390.96 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F12 1 Tf
10.90909 0 0 10.90909 450.48 387 Tm
(=y)Tj
/F13 1 Tf
1.408 0 Td
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 474.36 385.32 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 481.92 387 Tm
(x)Tj
/F13 1 Tf
0.572 0 Td
(g)Tj
/F8 1 Tf
0.891 0 Td
[(es)-396(cerrado)]TJ
-35.14499 -1.243 TD
(en)Tj
/F12 1 Tf
1.375 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 139.92 377.4 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 143.04 373.44 Tm
[(,)-374(luego)-385(el)-385(complemen)33(to)-396(de)]TJ
/F12 1 Tf
11.902 0 Td
(L)Tj
/F15 1 Tf
7.97011 0 0 7.97011 280.32 371.76 Tm
(x)Tj
/F8 1 Tf
10.90909 0 0 10.90909 289.56 373.44 Tm
(en)Tj
/F12 1 Tf
1.375 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 315 377.4 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 322.2 373.44 Tm
[(es)-374(abierto)-385(en)]TJ
/F12 1 Tf
6.017 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 398.28 377.4 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 401.4 373.44 Tm
[(,)-374(p)-33(or)-363(lo)-385(tan)33(to)-396(existe)]TJ
/F12 1 Tf
9.185 0 Td
0.385 Tc
<1B3E>Tj
/F8 1 Tf
2.079 0 Td
0 Tc
[(0)-374(tal)]TJ
-37.56499 -1.232 TD
(que)Tj
/F13 1 Tf
1.848 0 Td
(f)Tj
/F12 1 Tf
0.495 0 Td
(y)Tj
/F13 1 Tf
0.803 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 169.56 363.96 Tm
0 Tc
(l)Tj
/F12 1 Tf
10.90909 0 0 10.90909 172.68 360 Tm
(=)Tj
/F13 1 Tf
0.495 0 Td
(k)Tj
/F12 1 Tf
0.495 0 Td
(y)Tj
/F13 1 Tf
0.715 0 Td
<00>Tj
/F12 1 Tf
0.968 0 Td
(v)Tj
/F4 1 Tf
7.97011 0 0 7.97011 207.12 358.32 Tm
(0)Tj
/F13 1 Tf
10.90909 0 0 10.90909 211.8 360 Tm
0.286 Tc
<6B14>Tj
/F12 1 Tf
1.837 0 Td
0 Tc
<1B>Tj
/F13 1 Tf
0.605 0 Td
(g)Tj
/F8 1 Tf
0.814 0 Td
[(est\023)495(a)-330(con)33(tenido)-330(en)-308(el)-319(complemen)33(to)-330(de)]TJ
/F12 1 Tf
16.28 0 Td
(L)Tj
/F15 1 Tf
7.97011 0 0 7.97011 432.36 358.32 Tm
(x)Tj
/F8 1 Tf
10.90909 0 0 10.90909 441 360 Tm
(en)Tj
/F12 1 Tf
1.32 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 465.84 363.96 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 472.32 360 Tm
[(y)-308(en)33(tonces)-330(para)]TJ
-32.80199 -1.243 TD
(cada)Tj
/F12 1 Tf
2.31 0 Td
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 145.92 350.4 Tm
(0)Tj
/F13 1 Tf
10.90909 0 0 10.90909 151.8 346.44 Tm
(2)Tj
/F12 1 Tf
0.935 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 172.44 350.4 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 189.36 346.44 Tm
(con)Tj
/F13 1 Tf
1.804 0 Td
(k)Tj
/F12 1 Tf
0.495 0 Td
(v)Tj
/F8 1 Tf
0.517 0 Td
((0))Tj
/F13 1 Tf
1.463 0 Td
<00>Tj
/F12 1 Tf
0.946 0 Td
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 252.6 350.4 Tm
(0)Tj
/F13 1 Tf
10.90909 0 0 10.90909 255.36 346.44 Tm
0.286 Tc
<6B14>Tj
/F12 1 Tf
1.837 0 Td
0 Tc
<1B>Tj
/F8 1 Tf
0.913 0 Td
(tenemos)Tj
/F12 1 Tf
3.861 0 Td
(x)Tj
/F13 1 Tf
0.858 0 Td
<1F>Tj
/F15 1 Tf
7.97011 0 0 7.97011 345.36 344.76 Tm
(j)Tj
/F12 1 Tf
10.90909 0 0 10.90909 352.68 346.44 Tm
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 358.92 350.4 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 361.68 346.44 Tm
[(.)-319(En)-297(particular)-308(para)]TJ
/F12 1 Tf
8.976 0 Td
(v)Tj
/F8 1 Tf
0.517 0 Td
(\()Tj
/F12 1 Tf
<1B>Tj
/F8 1 Tf
0.99 0 Td
0.297 Tc
(\)=)Tj
/F12 1 Tf
1.738 0 Td
0 Tc
(v)Tj
/F8 1 Tf
0.517 0 Td
[((0))-176(+)]TJ
/F12 1 Tf
2.398 0 Td
0.033 Tc
<1B65>Tj
/F15 1 Tf
7.97011 0 0 7.97011 538.44 344.76 Tm
0 Tc
(j)Tj
/F9 1 Tf
5.97758 0 0 5.97758 541.92 343.68 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 114.48 332.88 Tm
[(se)-341(tiene)]TJ
/F12 1 Tf
3.619 0 Td
(x)Tj
/F13 1 Tf
0.847 0 Td
<1F>Tj
/F15 1 Tf
7.97011 0 0 7.97011 171.72 331.2 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 178.08 332.88 Tm
(v)Tj
/F8 1 Tf
0.517 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
<1B>Tj
/F8 1 Tf
0.605 0 Td
(\))Tj
/F12 1 Tf
(:)Tj
/F8 1 Tf
-5.786 -1.309 TD
[(P)33(or)-308(de\fnici\023)495(on)-297(de)]TJ
/F12 1 Tf
7.623 0 Td
(s)Tj
/F8 1 Tf
0.77 0 Td
[(tenemos)-308(que)]TJ
/F12 1 Tf
5.687 0 Td
(z)Tj
/F15 1 Tf
7.97011 0 0 7.97011 290.04 316.92 Tm
(j)Tj
/F12 1 Tf
10.90909 0 0 10.90909 297.48 318.6 Tm
0.275 Tc
(Tj
/F12 1 Tf
1.892 0 Td
0 Tc
(z)Tj
/F8 1 Tf
0.506 0 Td
[(,)-308(existe)]TJ
/F12 1 Tf
3.355 0 Td
(k)Tj
/F4 1 Tf
7.97011 0 0 7.97011 495.12 316.92 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 503.28 318.6 Tm
[(tal)-308(que)-297(si)]TJ
/F12 1 Tf
-35.64 -1.353 TD
(k)Tj
/F13 1 Tf
0.836 0 Td
<15>Tj
/F12 1 Tf
1.056 0 Td
(k)Tj
/F4 1 Tf
7.97011 0 0 7.97011 140.76 302.16 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 148.2 303.84 Tm
[(en)33(tonces)]TJ
/F12 1 Tf
3.949 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 197.52 309.12 Tm
(j)Tj
0 -1.09911 TD
(k)Tj
/F12 1 Tf
10.90909 0 0 10.90909 205.56 303.84 Tm
0.275 Tc
(Tj
/F8 1 Tf
1.914 0 Td
0 Tc
(para)Tj
/F12 1 Tf
2.189 0 Td
(j)Tj
/F8 1 Tf
0.748 0 Td
(=)Tj
/F12 1 Tf
1.056 0 Td
(j)Tj
/F4 1 Tf
7.97011 0 0 7.97011 372.12 302.16 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 376.92 303.84 Tm
[(,)-242(luego)]TJ
/F12 1 Tf
3.047 0 Td
(v)Tj
/F8 1 Tf
0.517 0 Td
(\()Tj
/F12 1 Tf
<1B>Tj
/F8 1 Tf
0.99 0 Td
(\))Tj
/F12 1 Tf
0.671 0 Td
0.275 Tc
(>x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 451.68 302.04 Tm
0 Tc
(k)Tj
/F8 1 Tf
10.90909 0 0 10.90909 459.48 303.84 Tm
[(y)-253(en)33(tonces)]TJ
/F12 1 Tf
4.719 0 Td
(x)Tj
/F13 1 Tf
0.858 0 Td
<1F>Tj
/F15 1 Tf
7.97011 0 0 7.97011 528.84 302.16 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 535.2 303.84 Tm
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 541.44 302.04 Tm
(k)Tj
/F8 1 Tf
10.90909 0 0 10.90909 114.48 290.28 Tm
[(para)-297(to)-33(do)]TJ
/F12 1 Tf
4.51 0 Td
(k)Tj
/F13 1 Tf
0.836 0 Td
<15>Tj
/F12 1 Tf
1.056 0 Td
(k)Tj
/F4 1 Tf
7.97011 0 0 7.97011 189.96 288.6 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 194.64 290.28 Tm
[(.)-297(Dado)-308(que)]TJ
/F12 1 Tf
5.016 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 254.88 288.6 Tm
(m)Tj
/F18 1 Tf
5.97758 0 0 5.97758 262.32 287.16 Tm
(k)Tj
/F13 1 Tf
10.90909 0 0 10.90909 270.36 290.28 Tm
-0.165 Tc
<0021>Tj
/F12 1 Tf
1.892 0 Td
0 Tc
(p)Tj
/F8 1 Tf
0.792 0 Td
(existe)Tj
/F12 1 Tf
2.772 0 Td
(k)Tj
/F4 1 Tf
7.97011 0 0 7.97011 335.52 288.6 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 340.32 290.28 Tm
[(,)-297(tal)-308(que)-297(para)]TJ
/F12 1 Tf
6.094 0 Td
(k)Tj
/F13 1 Tf
0.836 0 Td
<15>Tj
/F12 1 Tf
1.056 0 Td
(k)Tj
/F4 1 Tf
7.97011 0 0 7.97011 433.08 288.6 Tm
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 441 290.28 Tm
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 446.52 288.6 Tm
(m)Tj
/F18 1 Tf
5.97758 0 0 5.97758 453.96 287.16 Tm
(k)Tj
/F13 1 Tf
10.90909 0 0 10.90909 460.68 290.28 Tm
<01>Tj
/F12 1 Tf
0.418 0 Td
0.275 Tc
(x
Tj
/F12 1 Tf
0.418 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 518.04 288.6 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 521.4 290.28 Tm
(;)Tj
/F8 1 Tf
0.572 0 Td
(esto)Tj
-37.87299 -1.243 TD
[(implica)-308(que)]TJ
/F12 1 Tf
5.28 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 178.32 274.92 Tm
(k)Tj
/F13 1 Tf
10.90909 0 0 10.90909 186.48 276.72 Tm
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 195 275.04 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 201.36 276.72 Tm
(x:)Tj
/F8 1 Tf
1.144 0 Td
[(P)33(ara)]TJ
/F12 1 Tf
2.343 0 Td
(k)Tj
/F8 1 Tf
0.847 0 Td
[(su\fcien)33(temen)33(te)-308(grande)-297(\()]TJ
/F12 1 Tf
0.308 Tc
(k>)Tj
/F8 1 Tf
12.474 0 Td
0 Tc
[<6D13>495(a)-11(x)]TJ
/F13 1 Tf
(f)Tj
/F12 1 Tf
2.365 0 Td
(k)Tj
/F4 1 Tf
7.97011 0 0 7.97011 416.16 275.04 Tm
(0)Tj
/F12 1 Tf
10.90909 0 0 10.90909 420.96 276.72 Tm
0.165 Tc
(;k)Tj
/F4 1 Tf
7.97011 0 0 7.97011 431.4 275.04 Tm
0 Tc
(1)Tj
/F13 1 Tf
10.90909 0 0 10.90909 436.2 276.72 Tm
(g)Tj
/F8 1 Tf
[(\))-297(tenemos)-308(que)]TJ
/F12 1 Tf
6.853 0 Td
(x)Tj
/F13 1 Tf
0.858 0 Td
<1F>Tj
/F15 1 Tf
7.97011 0 0 7.97011 528.84 275.04 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 535.2 276.72 Tm
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 541.44 274.92 Tm
(k)Tj
/F8 1 Tf
10.90909 0 0 10.90909 114.48 263.16 Tm
(y)Tj
/F12 1 Tf
0.869 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 130.2 261.36 Tm
(k)Tj
/F13 1 Tf
10.90909 0 0 10.90909 138.24 263.16 Tm
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 146.76 261.48 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 153.24 263.16 Tm
(x)Tj
/F8 1 Tf
[(,)-330(lo)-341(cual)-341(es)-341(una)-319(con)33(tradicci\023)495(on,)-363(luego)]TJ
/F12 1 Tf
16.544 0 Td
(z)Tj
/F13 1 Tf
0.792 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 363.12 267.12 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F12 1 Tf
10.90909 0 0 10.90909 376.56 263.16 Tm
(:)Tj
/F8 1 Tf
-22.473 -1.309 TD
[(P)33(or)-319(otro)-319(lado)-308(existe)]TJ
/F12 1 Tf
8.877 0 Td
(y)Tj
/F13 1 Tf
0.803 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
(B)Tj
/F8 1 Tf
0.814 0 Td
(\()Tj
/F12 1 Tf
[(p;)-165(w)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 278.52 247.2 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 283.8 248.88 Tm
<01>Tj
/F12 1 Tf
0.44 0 Td
(p)Tj
/F8 1 Tf
[(\))-319(tal)-319(que)]TJ
/F12 1 Tf
4.521 0 Td
(y)Tj
/F13 1 Tf
0.803 0 Td
<1F>Tj
/F15 1 Tf
7.97011 0 0 7.97011 355.2 247.2 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 361.56 248.88 Tm
(z)Tj
/F8 1 Tf
0.506 0 Td
[(,)-308(en)33(tonces)-330(p)-33(or)-297(con)33(tin)33(uidad)-308(de)]TJ
/F13 1 Tf
13.101 0 Td
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 518.52 247.2 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 525.2401 248.88 Tm
(para)Tj
/F12 1 Tf
-37.65299 -1.243 TD
0.352 Tc
<1B3E>Tj
/F8 1 Tf
2.013 0 Td
0 Tc
[(0)-363(m)33(uy)-352(p)-33(eque)-33(~)]TJ
5.665 0 Td
[(no)-352(y)]TJ
/F12 1 Tf
2.288 0 Td
(j)Tj
/F4 1 Tf
7.97011 0 0 7.97011 227.64 233.64 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 232.44 235.32 Tm
[(,)-363(tal)-363(que)]TJ
/F12 1 Tf
4.037 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 282 233.64 Tm
(j)Tj
/F9 1 Tf
5.97758 0 0 5.97758 285.48 232.56 Tm
(1)Tj
/F13 1 Tf
10.90909 0 0 10.90909 293.52 235.32 Tm
(6)Tj
/F8 1 Tf
[(=)-308(0)-363(tenemos)-363(que)]TJ
/F12 1 Tf
7.744 0 Td
(y)Tj
/F13 1 Tf
0.77 0 Td
<00>Tj
/F12 1 Tf
1.012 0 Td
0.033 Tc
<1B65>Tj
/F15 1 Tf
7.97011 0 0 7.97011 409.08 233.64 Tm
0 Tc
(j)Tj
/F9 1 Tf
5.97758 0 0 5.97758 412.56 232.56 Tm
(1)Tj
/F13 1 Tf
10.90909 0 0 10.90909 420.6 235.32 Tm
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 429.12 233.64 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 435.96 235.32 Tm
(z)Tj
/F8 1 Tf
0.506 0 Td
[(.)-363(Puesto)-363(que)]TJ
/F12 1 Tf
5.841 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 511.44 233.52 Tm
(k)Tj
/F13 1 Tf
10.90909 0 0 10.90909 519.96 235.32 Tm
-0.165 Tc
<0021>Tj
/F12 1 Tf
1.925 0 Td
0 Tc
(z)Tj
/F8 1 Tf
-39.09399 -1.232 TD
(existe)Tj
/F12 1 Tf
2.882 0 Td
(k)Tj
/F4 1 Tf
7.97011 0 0 7.97011 151.56 220.2 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 160.68 221.88 Tm
[(tal)-418(que)-396(si)]TJ
/F12 1 Tf
4.576 0 Td
(k)Tj
/F13 1 Tf
0.946 0 Td
<15>Tj
/F12 1 Tf
1.166 0 Td
(k)Tj
/F4 1 Tf
7.97011 0 0 7.97011 239.28 220.2 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 244.08 221.88 Tm
(,)Tj
/F12 1 Tf
0.682 0 Td
(y)Tj
/F13 1 Tf
0.792 0 Td
<00>Tj
/F12 1 Tf
1.045 0 Td
0.033 Tc
<1B65>Tj
/F15 1 Tf
7.97011 0 0 7.97011 283.2 220.2 Tm
0 Tc
(j)Tj
/F9 1 Tf
5.97758 0 0 5.97758 286.68 219.12 Tm
(1)Tj
/F13 1 Tf
10.90909 0 0 10.90909 295.68 221.88 Tm
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 304.2 220.2 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 311.76 221.88 Tm
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 318 220.08 Tm
(k)Tj
/F8 1 Tf
10.90909 0 0 10.90909 323.16 221.88 Tm
[(.)-407(Como)]TJ
/F12 1 Tf
3.641 0 Td
(p)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
0.891 0 Td
(y)Tj
/F13 1 Tf
0.792 0 Td
<00>Tj
/F12 1 Tf
1.045 0 Td
0.033 Tc
<1B65>Tj
/F15 1 Tf
7.97011 0 0 7.97011 404.28 220.2 Tm
0 Tc
(j)Tj
/F9 1 Tf
5.97758 0 0 5.97758 407.76 219.12 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 412.44 221.88 Tm
(\))Tj
/F13 1 Tf
0.781 0 Td
<14>Tj
/F12 1 Tf
1.166 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 441.48 220.2 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 447.84 221.88 Tm
<01>Tj
/F12 1 Tf
0.539 0 Td
(p)Tj
/F13 1 Tf
0.77 0 Td
<00>Tj
/F12 1 Tf
1.056 0 Td
0.033 Tc
<1B70>Tj
/F15 1 Tf
7.97011 0 0 7.97011 485.76 220.2 Tm
0 Tc
(j)Tj
/F9 1 Tf
5.97758 0 0 5.97758 489.24 219.12 Tm
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 498 221.88 Tm
0.396 Tc
(Tj
/F12 1 Tf
0.55 0 Td
(p)Tj
/F8 1 Tf
0.902 0 Td
(y)Tj
/F12 1 Tf
-39.07199 -1.243 TD
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 120 206.64 Tm
(m)Tj
/F18 1 Tf
5.97758 0 0 5.97758 127.44 205.2 Tm
(k)Tj
/F13 1 Tf
10.90909 0 0 10.90909 135.6 208.32 Tm
-0.165 Tc
<0021>Tj
/F12 1 Tf
1.892 0 Td
0 Tc
(p)Tj
/F8 1 Tf
[(,)-264(existe)]TJ
/F12 1 Tf
3.795 0 Td
(k)Tj
/F4 1 Tf
7.97011 0 0 7.97011 203.28 206.64 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 210.96 208.32 Tm
[(tal)-275(que)]TJ
/F12 1 Tf
3.234 0 Td
(k)Tj
/F13 1 Tf
0.825 0 Td
<15>Tj
/F12 1 Tf
1.056 0 Td
(k)Tj
/F4 1 Tf
7.97011 0 0 7.97011 272.4 206.64 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 277.2 208.32 Tm
[(,)-275(implica)]TJ
/F12 1 Tf
3.982 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 326.16 206.64 Tm
(m)Tj
/F18 1 Tf
5.97758 0 0 5.97758 333.6 205.2 Tm
(k)Tj
/F8 1 Tf
10.90909 0 0 10.90909 338.64 208.32 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(y)Tj
/F13 1 Tf
0.627 0 Td
<00>Tj
/F12 1 Tf
0.869 0 Td
0.033 Tc
<1B65>Tj
/F15 1 Tf
7.97011 0 0 7.97011 370.8 206.64 Tm
0 Tc
(j)Tj
/F9 1 Tf
5.97758 0 0 5.97758 374.28 205.56 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 378.96 208.32 Tm
(\))Tj
/F12 1 Tf
0.66 0 Td
0.275 Tc
(Tj
/F12 1 Tf
0.363 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 416.28 206.64 Tm
(m)Tj
/F18 1 Tf
5.97758 0 0 5.97758 423.72 205.2 Tm
(k)Tj
/F8 1 Tf
10.90909 0 0 10.90909 428.88 208.32 Tm
[(,)-275(en)33(tonces)]TJ
/F12 1 Tf
4.521 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 484.44 206.52 Tm
(k)Tj
/F13 1 Tf
10.90909 0 0 10.90909 492.6 208.32 Tm
<1F>Tj
/F15 1 Tf
7.97011 0 0 7.97011 501.12 206.64 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 507.48 208.32 Tm
(y)Tj
/F13 1 Tf
0.627 0 Td
<00>Tj
/F12 1 Tf
0.869 0 Td
0.033 Tc
<1B65>Tj
/F15 1 Tf
7.97011 0 0 7.97011 535.44 206.64 Tm
0 Tc
(j)Tj
/F9 1 Tf
5.97758 0 0 5.97758 538.92 205.56 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 543.48 208.32 Tm
(,)Tj
/F13 1 Tf
-39.32499 -1.243 TD
(8)Tj
/F12 1 Tf
0.946 0 Td
(k)Tj
/F13 1 Tf
0.924 0 Td
<15>Tj
/F12 1 Tf
1.144 0 Td
(k)Tj
/F4 1 Tf
7.97011 0 0 7.97011 153 193.08 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 157.8 194.76 Tm
[(.)-385(P)33(ara)]TJ
/F12 1 Tf
3.102 0 Td
(k)Tj
/F8 1 Tf
0.935 0 Td
[(su\fcien)33(temen)33(te)-407(grande)-385(se)-396(tendr)110<13>]TJ
13.97 0 Td
[<1061>-385(que)]TJ
/F12 1 Tf
3.069 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 393.96 192.96 Tm
(k)Tj
/F13 1 Tf
10.90909 0 0 10.90909 403.08 194.76 Tm
<1F>Tj
/F15 1 Tf
7.97011 0 0 7.97011 411.6 193.08 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 419.04 194.76 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(y)Tj
/F13 1 Tf
0.792 0 Td
<00>Tj
/F12 1 Tf
1.034 0 Td
0.033 Tc
<1B65>Tj
/F15 1 Tf
7.97011 0 0 7.97011 454.8 193.08 Tm
0 Tc
(j)Tj
/F9 1 Tf
5.97758 0 0 5.97758 458.28 192 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 462.96 194.76 Tm
0.385 Tc
(\)y)Tj
/F12 1 Tf
1.694 0 Td
0 Tc
(y)Tj
/F13 1 Tf
0.781 0 Td
<00>Tj
/F12 1 Tf
1.034 0 Td
0.033 Tc
<1B65>Tj
/F15 1 Tf
7.97011 0 0 7.97011 512.88 193.08 Tm
0 Tc
(j)Tj
/F9 1 Tf
5.97758 0 0 5.97758 516.36 192 Tm
(1)Tj
/F13 1 Tf
10.90909 0 0 10.90909 525.12 194.76 Tm
<1F>Tj
/F15 1 Tf
7.97011 0 0 7.97011 533.64 193.08 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 540.96 194.76 Tm
(z)Tj
/F8 1 Tf
-39.09399 -1.243 TD
[(lo)-341(cual)-341(es)-341(una)-330(con)33(tradicci\023)495(on.)-352(P)33(or)-341(lo)-341(tan)33(to)]TJ
/F12 1 Tf
18.392 0 Td
(z)Tj
/F8 1 Tf
0.847 0 Td
[<7313>495(olo)-341(puede)-330(ser)-330<6D13>495(aximo)-341(para)]TJ
/F13 1 Tf
12.54 0 Td
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 469.68 179.52 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 476.76 181.2 Tm
(en)Tj
/F12 1 Tf
1.331 0 Td
(B)Tj
/F8 1 Tf
0.814 0 Td
(\()Tj
/F12 1 Tf
[(p;)-165(p)]TJ
/F13 1 Tf
2.057 0 Td
<01>Tj
/F12 1 Tf
0.495 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 535.8 179.52 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 539.28 181.2 Tm
(\))Tj
/F12 1 Tf
0.385 0 Td
(;)Tj
/F8 1 Tf
-39.32499 -1.243 TD
[(p)-33(ero)-330(tales)-352(elemen)33(tos)-352(no)-330(pueden)-319(existir,)-352(luego)]TJ
/F13 1 Tf
19.943 0 Td
(k)Tj
/F12 1 Tf
0.495 0 Td
(y)Tj
/F15 1 Tf
7.97011 0 0 7.97011 342.84 165.96 Tm
(m)Tj
/F13 1 Tf
10.90909 0 0 10.90909 350.88 167.64 Tm
0.275 Tc
[<6B00>440(!)]TJ
/F8 1 Tf
2.662 0 Td
0 Tc
(+)Tj
/F13 1 Tf
0.781 0 Td
(1)Tj
/F12 1 Tf
(:)Tj
/F17 1 Tf
-25.113 -1.991 TD
[(Prop)-33(osici\023)572(on)-396(2)]TJ
/F8 1 Tf
7.546 0 Td
[(Dada)-330(una)-319(econom)110<13>385<1061>]TJ
/F13 1 Tf
8.954 0 Td
(E)Tj
/F8 1 Tf
0.946 0 Td
[(de)-319(in)33(tercam)33(bio)-341(con)-330<13>495(ordenes)-319(de)-330(preferencia)-319(estricta-)]TJ
-17.446 -1.232 TD
[(men)33(te)-396(monot\023)495(onicos,)-396(con)33(tin)33(uos)-396(y)-374(estrictamen)33(te)-407(con)33(v)33(exos,)-407(en)33(tonces)-396(la)-385(funci\023)495(on)-374(de)-374(exceso)-396(de)]TJ
0 -1.243 TD
[(demanda)-330(agregada)]TJ
/F12 1 Tf
8.503 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(:)Tj
/F12 1 Tf
0.44 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 229.08 122.88 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F13 1 Tf
10.90909 0 0 10.90909 245.64 118.92 Tm
-0.165 Tc
<0021>Tj
/F12 1 Tf
1.892 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 276.72 122.88 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 279.72 118.92 Tm
[(,)-341(satisface)-352(las)-341(siguien)33(tes)-341(propiedades:)]TJ
-14.201 -2.332 TD
((i))Tj
/F12 1 Tf
1.562 0 Td
(f)Tj
/F8 1 Tf
0.924 0 Td
[(es)-341(con)33(tin)33(ua.)]TJ
ET
endstream
endobj
8 0 obj
<<
/Length 19705
>>
stream
/GS4 gs
BT
/F8 1 Tf
10.90909 0 0 10.90909 72 722.16 Tm
0 g
(6)Tj
/F11 1 Tf
15.191 0 Td
[(o.)-374(a)22(cu)]TJ
3.168 0.088 TD
(~)Tj
-0.033 -0.088 TD
[(na)-363({)-385(f.)-374(ula)66(te)]TJ
/F8 1 Tf
-17.655 -3.278 TD
((ii))Tj
/F12 1 Tf
1.826 0 Td
(p)Tj
/F13 1 Tf
0.726 0 Td
<01>Tj
/F12 1 Tf
0.506 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
[(\))-275(=)-275(0)-330(para)-341(cada)]TJ
/F12 1 Tf
7.667 0 Td
(p)Tj
/F8 1 Tf
0.836 0 Td
(en)Tj
/F12 1 Tf
1.331 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 241.2 690.36 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 254.76 686.4 Tm
[(,)-330(cono)-33(cida)-352(como)-341(ley)-341(de)-330(W)88(alras.)]TJ
-16.368 -2.112 TD
((iii))Tj
/F12 1 Tf
2.112 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
<0B70>Tj
/F8 1 Tf
0.451 Tc
(\)=)Tj
/F12 1 Tf
3.586 0 Td
0 Tc
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
[(\))-429(para)-429(cada)]TJ
/F12 1 Tf
6.127 0 Td
(p)Tj
/F8 1 Tf
0.935 0 Td
(y)Tj
/F12 1 Tf
0.968 0 Td
<0B>Tj
/F13 1 Tf
1.089 0 Td
(2)Tj
/F12 1 Tf
1.1 0 Td
0.44 Tc
[(I)693(R)429(;\013>)]TJ
/F8 1 Tf
3.971 0 Td
0 Tc
[(0;)-440(las)-440(funciones)-429(exceso)-451(de)-429(demanda)-429(son)]TJ
-19.371 -1.243 TD
[(homog)33<13>]TJ
2.871 0 Td
[(eneas)-363(de)-330(grado)-341(0.)]TJ
-2.871 -1.683 TD
[(Si)-330(las)-341(preferencias)-341(satisfacen)-341(la)-341(condici\023)495(on)-341(de)-341(fron)33(tera)-341(se)-330(tiene)-341(tam)33(bi)33<13>]TJ
29.49099 0 Td
(en:)Tj
-31.56999 -2.112 TD
[((iv))-506(Si)]TJ
/F12 1 Tf
3.245 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 117.48 606.6 Tm
(h)Tj
/F13 1 Tf
10.90909 0 0 10.90909 125.88 608.4 Tm
-0.165 Tc
<0021>Tj
/F12 1 Tf
1.892 0 Td
0 Tc
(p)Tj
/F8 1 Tf
(,)Tj
/F12 1 Tf
1.111 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 164.16 606.6 Tm
(h)Tj
/F13 1 Tf
10.90909 0 0 10.90909 172.56 608.4 Tm
(2)Tj
/F12 1 Tf
0.946 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 193.32 612.36 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 206.88 608.4 Tm
(,)Tj
/F12 1 Tf
0.605 0 Td
(p)Tj
/F8 1 Tf
0.836 0 Td
[(en)-330(la)-341(fron)33(tera)-341(de)]TJ
/F12 1 Tf
7.568 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 315.6 612.36 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 332.76 608.4 Tm
(y)Tj
/F12 1 Tf
0.858 0 Td
(p)Tj
/F13 1 Tf
0.781 0 Td
(6)Tj
/F8 1 Tf
[(=)-275(0,)-341(en)33(tonces)]TJ
/F13 1 Tf
6.193 0 Td
(k)Tj
/F12 1 Tf
(f)Tj
/F8 1 Tf
1.1 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 439.92 606.6 Tm
(h)Tj
/F8 1 Tf
10.90909 0 0 10.90909 445.32 608.4 Tm
(\))Tj
/F13 1 Tf
0.286 Tc
[<6B00>451(!)]TJ
/F8 1 Tf
3.058 0 Td
0 Tc
(+)Tj
/F13 1 Tf
0.781 0 Td
(1)Tj
/F8 1 Tf
(.)Tj
/F17 1 Tf
-38.05999 -2.112 TD
(Prueba)Tj
/F8 1 Tf
0.946 -2.112 TD
((i))Tj
/F12 1 Tf
1.551 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.275 Tc
(\)=)Tj
/F14 1 Tf
2.607 0.75901 TD
0 Tc
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 145.8 567.36 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 161.88 562.32 Tm
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 167.28 560.64 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 170.52 562.32 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.286 Tc
(\)=)Tj
/F14 1 Tf
2.233 0.75901 TD
0 Tc
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 210.6 567.36 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 226.56 562.32 Tm
(g)Tj
/F15 1 Tf
7.97011 0 0 7.97011 231.72 560.64 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 235.2 562.32 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.506 0 Td
(\))Tj
/F13 1 Tf
0.407 0 Td
<00>Tj
/F14 1 Tf
0.803 0.759 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 269.64 567.36 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 285.72 562.32 Tm
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 293.52 560.64 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 296.88 562.32 Tm
[(,)-231(como)]TJ
/F12 1 Tf
3.025 0 Td
(g)Tj
/F15 1 Tf
7.97011 0 0 7.97011 335.04 560.64 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 340.92 562.32 Tm
[(es)-242(con)33(tin)33(ua)-242(\(prop)-33(osici\023)495(on)-242(5,)-231(Acu)-33(~)]TJ
13.387 0 Td
(na{)Tj
-35.54099 -1.24299 TD
[(Ulate)-352(\(1991\)\))-363(para)-341(cada)]TJ
/F12 1 Tf
10.813 0 Td
(i)Tj
/F8 1 Tf
[(,)-341(se)-330(tiene)-352(que)]TJ
/F12 1 Tf
6.435 0 Td
(f)Tj
/F8 1 Tf
0.924 0 Td
[(es)-341(con)33(tin)33(ua.)]TJ
-19.99799 -2.112 TD
[((ii))-506(Sab)-33(emos)-418(que)]TJ
/F12 1 Tf
7.997 0 Td
(g)Tj
/F15 1 Tf
7.97011 0 0 7.97011 171.72 524.04 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 175.2 525.72 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.506 0 Td
(\))Tj
/F13 1 Tf
0.671 0 Td
<01>Tj
/F12 1 Tf
0.55 0 Td
(p)Tj
/F8 1 Tf
0.924 0 Td
(=)Tj
/F12 1 Tf
1.199 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 229.2 524.04 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 235.56 525.72 Tm
<01>Tj
/F12 1 Tf
0.561 0 Td
(p)Tj
/F8 1 Tf
0.913 0 Td
[(para)-418(cada)]TJ
/F12 1 Tf
4.785 0 Td
(i)Tj
/F8 1 Tf
0.759 0 Td
0.418 Tc
(=1)Tj
/F12 1 Tf
1.694 0 Td
0.165 Tc
[(;:::)-22(;n)]TJ
/F8 1 Tf
3.245 0 Td
0 Tc
[(\(prop)-33(osici\023)495(on)-418(3,)-429(Acu)-33(~)]TJ
8.734 0 Td
(na{Ulate)Tj
-33.18699 -1.232 TD
[(\(1991\)\))-341(y)-308(sumando)-297(sobre)]TJ
/F12 1 Tf
11.099 0 Td
(i)Tj
/F8 1 Tf
0.649 0 Td
[(obtenemos)-319(\()]TJ
/F14 1 Tf
5.313 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 296.88 517.2 Tm
(n)Tj
0 -1.02382 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 311.04 512.28 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(g)Tj
/F15 1 Tf
7.97011 0 0 7.97011 320.4 510.6 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 323.88 512.28 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.506 0 Td
(\))Tj
/F13 1 Tf
0.616 0 Td
<00>Tj
/F12 1 Tf
1.001 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 359.04 510.6 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 362.4 512.28 Tm
(\)\))Tj
/F13 1 Tf
0.946 0 Td
<01>Tj
/F12 1 Tf
0.44 0 Td
(p)Tj
/F8 1 Tf
0.781 0 Td
[(=)-275(0,)-319(es)-308(decir)]TJ
/F12 1 Tf
5.709 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\))Tj
/F13 1 Tf
1.441 0 Td
<01>Tj
/F12 1 Tf
0.44 0 Td
(p)Tj
/F8 1 Tf
0.781 0 Td
0.275 Tc
[(=0)275(.)]TJ
-37.37799 -2.112 TD
0 Tc
((iii))Tj
/F12 1 Tf
2.112 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
<0B70>Tj
/F8 1 Tf
0.286 Tc
(\)=)Tj
/F14 1 Tf
3.256 0.748 TD
0 Tc
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 152.88 494.16 Tm
(n)Tj
0 -1.02382 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 168.84 489.24 Tm
(g)Tj
/F15 1 Tf
7.97011 0 0 7.97011 174 487.56 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 177.48 489.24 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
<0B70>Tj
/F8 1 Tf
1.144 0 Td
(\))Tj
/F13 1 Tf
0.616 0 Td
<00>Tj
/F14 1 Tf
1.001 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 223.32 494.16 Tm
(n)Tj
0 -1.02382 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 239.28 489.24 Tm
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 247.08 487.56 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 250.56 489.24 Tm
[(,)-330(p)-33(ero)]TJ
/F12 1 Tf
2.86 0 Td
(g)Tj
/F15 1 Tf
7.97011 0 0 7.97011 286.92 487.56 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 290.28 489.24 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
<0B70>Tj
/F8 1 Tf
0.297 Tc
(\)=)Tj
/F12 1 Tf
2.882 0 Td
0 Tc
(g)Tj
/F15 1 Tf
7.97011 0 0 7.97011 331.08 487.56 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 334.44 489.24 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
[(\))-341(para)-330(cada)]TJ
/F12 1 Tf
5.841 0 Td
(i)Tj
/F8 1 Tf
[(,)-341(p)-33(or)-330(lo)-341(que)]TJ
/F12 1 Tf
5.742 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
<0B70>Tj
/F8 1 Tf
0.275 Tc
(\)=)Tj
/F12 1 Tf
-34.51799 -1.243 TD
0 Tc
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.506 0 Td
(\))Tj
/F12 1 Tf
(:)Tj
/F8 1 Tf
-1.496 -1.683 TD
[(La)-341(prop)-33(osici\023)495(on)-330(4)-341(nos)-330(da)-330((iv).)]TJ
/F17 1 Tf
-2.497 -2.684 TD
[(De\fnici\023)572(on)-440(3)]TJ
/F8 1 Tf
6.842 0 Td
[(Llamamos)-374(v)33(ector)-385(de)-363(precios)-374(de)-363(equilibrio,)-374(al)-374(v)33(ector)]TJ
/F12 1 Tf
22.88 0 Td
(p)Tj
/F13 1 Tf
0.836 0 Td
(2)Tj
/F12 1 Tf
1.001 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 426.72 432 Tm
0 Tc
(l)Tj
/F12 1 Tf
10.90909 0 0 10.90909 429.84 428.04 Tm
0.363 Tc
(;p)Tj
/F13 1 Tf
1.485 0 Td
0 Tc
<15>Tj
/F8 1 Tf
1.111 0 Td
[(0,)-374(tal)-374(que)]TJ
/F12 1 Tf
-35.398 -1.243 TD
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.275 Tc
[(\)=0)275(.)]TJ
/F17 1 Tf
-0.99 -1.826 TD
0 Tc
[(De\fnici\023)572(on)-407(4)]TJ
/F8 1 Tf
6.743 0 Td
[(Una)-341(asignaci\023)495(on)-352(alcanzable)]TJ
/F12 1 Tf
11.825 0 Td
(x)Tj
/F8 1 Tf
0.858 0 Td
0.286 Tc
(=\()Tj
/F12 1 Tf
1.452 0 Td
0 Tc
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 306 392.88 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 309.48 394.56 Tm
[(\))-341(es)-341(un)-330(equilibrio)-341(w)33(alrasiano)-352(\(de)-341(precios\))]TJ
-21.769 -1.243 TD
[(si)-440(existe)-440(un)-429(v)33(ector)]TJ
/F12 1 Tf
8.668 0 Td
(p)Tj
/F13 1 Tf
0.946 0 Td
(2)Tj
/F12 1 Tf
1.111 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 199.44 384.96 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 202.56 381 Tm
(,)Tj
/F12 1 Tf
0.704 0 Td
(p)Tj
/F13 1 Tf
0.946 0 Td
<15>Tj
/F8 1 Tf
1.232 0 Td
[(0,)-440(tal)-440(que,)-440(para)-429(cada)]TJ
/F12 1 Tf
9.867 0 Td
(i)Tj
/F8 1 Tf
(,)Tj
/F12 1 Tf
1.056 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 359.4 379.32 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 367.44 381 Tm
(maximiza)Tj
/F13 1 Tf
4.631 0 Td
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 426.48 379.32 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 434.52 381 Tm
[(en)-429(el)-451(conjun)33(to)]TJ
/F12 1 Tf
-33.231 -1.232 TD
(B)Tj
/F8 1 Tf
0.814 0 Td
(\()Tj
/F12 1 Tf
[(p;)-165(p)]TJ
/F13 1 Tf
2.057 0 Td
<01>Tj
/F12 1 Tf
0.495 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 116.52 365.88 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 120 367.56 Tm
0.275 Tc
(\)=)Tj
/F13 1 Tf
1.716 0 Td
0 Tc
(f)Tj
/F12 1 Tf
0.495 0 Td
(z)Tj
/F13 1 Tf
0.792 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 173.52 371.52 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F12 1 Tf
10.90909 0 0 10.90909 187.08 367.56 Tm
(=pz)Tj
/F13 1 Tf
1.793 0 Td
<14>Tj
/F12 1 Tf
1.045 0 Td
(p)Tj
/F13 1 Tf
0.726 0 Td
<01>Tj
/F12 1 Tf
0.506 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 239.28 365.88 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 242.64 367.56 Tm
(g)Tj
/F8 1 Tf
0.495 0 Td
(.)Tj
/F17 1 Tf
-16.137 -1.826 TD
(Nota)Tj
/F8 1 Tf
3.366 0 Td
[(Si)-407(las)-418(preferencias)]TJ
/F13 1 Tf
8.382 0 Td
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 208.68 345.96 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 216.48 347.64 Tm
[(son)-407(estrictamen)33(te)-440(monot\023)495(onicas,)-429(en)33(tonces)-429(para)-407(un)-407(equilibrio)]TJ
-13.244 -1.243 TD
[(w)33(alrasiano)-385(\()]TJ
/F12 1 Tf
5.346 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 136.56 332.4 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 139.92 334.08 Tm
[(\),)-374(el)-374(v)33(ector)]TJ
/F12 1 Tf
5.159 0 Td
(p)Tj
/F8 1 Tf
0.869 0 Td
[(corresp)-33(ondien)33(te)-363(es)-363(tal)-385(que)]TJ
/F12 1 Tf
11.836 0 Td
0.319 Tc
(p>)Tj
/F8 1 Tf
1.936 0 Td
0 Tc
(0)Tj
/F12 1 Tf
(:)Tj
/F8 1 Tf
1.144 0 Td
[(Si)-363(existe)]TJ
/F12 1 Tf
4.037 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 417.96 338.04 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 426 334.08 Tm
[(=)-330(0,)-363(no)-374(existir)110<13>]TJ
6.369 0 Td
<1061>Tj
-38.81899 -1.243 TD
[(maximizador)-341(en)]TJ
/F12 1 Tf
7.304 0 Td
(B)Tj
/F8 1 Tf
0.814 0 Td
(\()Tj
/F12 1 Tf
[(p;)-165(p)]TJ
/F13 1 Tf
2.057 0 Td
<01>Tj
/F12 1 Tf
0.506 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 196.32 318.84 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 199.68 320.52 Tm
[(\))-341(para)]TJ
/F13 1 Tf
3.003 0 Td
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 240.96 318.84 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 244.32 320.52 Tm
[(,)-341(y)33(a)-341(que)-330(a)-341(cualquier)-341(canasta)-341(en)]TJ
/F12 1 Tf
13.904 0 Td
(B)Tj
/F8 1 Tf
0.814 0 Td
(\()Tj
/F12 1 Tf
[(p;)-165(p)]TJ
/F13 1 Tf
2.057 0 Td
<01>Tj
/F12 1 Tf
0.495 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 440.52 318.84 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 443.88 320.52 Tm
[(\))-341(se)-341(le)-341(puede)]TJ
-34.08899 -1.243 TD
[(aumen)33(tar)-341(la)-341(can)33(tidad)-341(del)-341(bien)]TJ
/F12 1 Tf
13.442 0 Td
(j)Tj
/F8 1 Tf
0.803 0 Td
[(y)-341(siempre)-330(v)55(a)-330(a)-341(estar)-341(en)]TJ
/F12 1 Tf
10.461 0 Td
(B)Tj
/F8 1 Tf
0.814 0 Td
(\()Tj
/F12 1 Tf
[(p;)-165(p)]TJ
/F13 1 Tf
2.057 0 Td
<01>Tj
/F12 1 Tf
0.506 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 386.16 305.28 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 389.52 306.96 Tm
(\).)Tj
/F17 1 Tf
-29.106 -1.826 TD
[(Prop)-33(osici\023)572(on)-385(3)]TJ
/F8 1 Tf
7.513 0 Td
[(Sean)-308(las)-330(preferencias)-308(estrictamen)33(te)-352(monot\023)495(onicas,)-330(con)33(tin)33(uas)-330(y)-308(con)33(v)33(exas.)-341(Si)]TJ
/F12 1 Tf
-7.513 -1.243 TD
(x)Tj
/F8 1 Tf
0.847 0 Td
0.275 Tc
(=\()Tj
/F12 1 Tf
1.441 0 Td
0 Tc
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 103.2 271.8 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 106.68 273.48 Tm
[(\))-330(es)-341(un)-319(equilibrio)-341(w)33(alrasiano,)-352(en)33(tonces)]TJ
/F14 1 Tf
16.995 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 303.6 278.52 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 319.56 273.48 Tm
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 325.8 271.8 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 332.16 273.48 Tm
(=)Tj
/F14 1 Tf
1.056 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 355.2 278.52 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 371.28 273.48 Tm
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 379.08 271.8 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 382.44 273.48 Tm
(.)Tj
/F17 1 Tf
-28.457 -1.254 TD
(Prueba)Tj
/F8 1 Tf
4.378 0 Td
(Sea)Tj
/F12 1 Tf
1.848 0 Td
(p)Tj
/F8 1 Tf
0.847 0 Td
[(el)-352(v)33(ector)-374(de)-341(equilibrio)-352(de)-352(precios,)-363(como)]TJ
/F12 1 Tf
17.479 0 Td
0.308 Tc
(p>)Tj
/F8 1 Tf
1.892 0 Td
0 Tc
(0,)Tj
/F14 1 Tf
1.122 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 384.24 264.84 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 398.52 259.8 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 410.52 258.12 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 416.4 259.8 Tm
<00>Tj
/F12 1 Tf
1.012 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 433.68 258.12 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 437.04 259.8 Tm
(\))Tj
/F13 1 Tf
0.693 0 Td
<15>Tj
/F8 1 Tf
1.078 0 Td
[(0,)-363(\(\()]TJ
/F12 1 Tf
1.903 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 483.36 258.12 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 486.84 259.8 Tm
0.352 Tc
[(\)e)352(s)]TJ
-38.02699 -1.243 TD
0 Tc
[(alcanzable\))-352(y)]TJ
/F14 1 Tf
6.061 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 149.64 251.28 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 163.8 246.24 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 175.8 244.56 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 181.44 246.24 Tm
<00>Tj
/F12 1 Tf
0.979 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 198.36 244.56 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 201.72 246.24 Tm
(\))Tj
/F13 1 Tf
0.594 0 Td
<01>Tj
/F12 1 Tf
0.473 0 Td
(p)Tj
/F8 1 Tf
0.781 0 Td
[(=)-275(0,)-330(puesto)-319(que)-330(como)]TJ
/F12 1 Tf
9.768 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 334.68 244.56 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 341.52 246.24 Tm
[(es)-330(maximal)-330(en)]TJ
/F12 1 Tf
6.556 0 Td
(B)Tj
/F8 1 Tf
0.814 0 Td
(\()Tj
/F12 1 Tf
[(p;)-165(p)]TJ
/F13 1 Tf
2.035 0 Td
<01>Tj
/F12 1 Tf
0.484 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 457.2 244.56 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 460.56 246.24 Tm
[(\))-330(se)-319(tiene)]TJ
-35.61799 -1.243 TD
(que)Tj
/F12 1 Tf
1.903 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 99 231 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 105 232.68 Tm
<01>Tj
/F12 1 Tf
0.528 0 Td
(p)Tj
/F8 1 Tf
0.847 0 Td
(=)Tj
/F12 1 Tf
1.111 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 139.92 231 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 146.04 232.68 Tm
<01>Tj
/F12 1 Tf
0.528 0 Td
(p)Tj
/F8 1 Tf
0.869 0 Td
[(dado)-374(que)]TJ
/F13 1 Tf
4.389 0 Td
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 217.68 231 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 225 232.68 Tm
[(es)-374(estrictamen)33(te)-407(monot\023)495(onica)-385(y)-374(sumando)-363(sobre)-363(la)-385(ecuaci\023)495(on)]TJ
-14.025 -1.243 TD
[(an)33(terior)-341(obtener)-341(la)-341(ecuaci\023)495(on)-352(deseada.)-341(As)110<13>385<10>-330(se)-341(deb)-33(e)-330(tener)]TJ
/F14 1 Tf
24.387 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 349.56 224.16 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 363.72 219.12 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 375.72 217.44 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 381.6 219.12 Tm
<00>Tj
/F12 1 Tf
1.001 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 398.76 217.44 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 402.12 219.12 Tm
0.286 Tc
[(\)=)11(0)286(.)]TJ
/F17 1 Tf
-30.26099 -1.826 TD
0 Tc
[(Prop)-33(osici\023)572(on)-506(4)]TJ
/F8 1 Tf
7.854 0 Td
[(Si)-407(las)-429(preferencias)-418(son)-418(estrictamen)33(te)-440(monot\023)495(onicas,)-440(con)33(tin)33(uas)-429(y)-418(estricta-)]TJ
-7.854 -1.243 TD
[(men)33(te)-341(con)33(v)33(exas,)-363(para)-330(cada)]TJ
/F12 1 Tf
12.034 0 Td
(p)Tj
/F13 1 Tf
0.781 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 232.56 189.6 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 235.68 185.64 Tm
(,)Tj
/F12 1 Tf
0.605 0 Td
0.275 Tc
(p>)Tj
/F8 1 Tf
1.837 0 Td
0 Tc
[(0)-341(las)-341(siguien)33(tes)-341(a\frmaciones)-341(son)-330(equiv)55(alen)33(tes:)]TJ
-16.5 -2.112 TD
((i))Tj
/F12 1 Tf
1.551 0 Td
(p)Tj
/F8 1 Tf
0.836 0 Td
[(es)-341(un)-319(v)33(ector)-352(de)-330(precios)-341(corresp)-33(ondien)33(tes)-341(a)-330(alg)-33<13>]TJ
19.965 0 Td
[(un)-341(equilibrio)-341(w)33(alrasiano)-341(\()]TJ
/F12 1 Tf
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 454.44 160.92 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 457.92 162.6 Tm
(\))Tj
-34.70499 -2.112 TD
((ii))Tj
/F12 1 Tf
1.826 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 105.48 137.88 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 111.96 139.56 Tm
(=)Tj
/F12 1 Tf
1.056 0 Td
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 128.88 137.88 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 132.12 139.56 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.231 Tc
(\)+)Tj
/F12 1 Tf
2.123 0 Td
0 Tc
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 167.28 137.88 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 170.64 139.56 Tm
0.341 Tc
(;i)Tj
/F8 1 Tf
1.232 0 Td
0.275 Tc
(=1)Tj
/F12 1 Tf
1.551 0 Td
0.165 Tc
[(;:::)-22(;n)]TJ
/F8 1 Tf
3.168 0 Td
0 Tc
[(es)-330(una)-330(asignaci\023)495(on)-352(alcanzable)]TJ
-14.608 -2.112 TD
((iii))Tj
/F12 1 Tf
2.112 0 Td
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 105.48 120.48 Tm
(0)Tj
/F15 1 Tf
0 -0.8733 TD
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 111.96 116.52 Tm
(=)Tj
/F12 1 Tf
1.056 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 129.72 114.84 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 136.68 116.52 Tm
[(para)-330(to)-33(do)]TJ
/F12 1 Tf
4.587 0 Td
(i)Tj
/F8 1 Tf
0.627 0 Td
0.275 Tc
(=1)Tj
/F12 1 Tf
1.551 0 Td
0.165 Tc
[(;:::)-22(;n)165(;)]TJ
/F8 1 Tf
3.432 0 Td
0 Tc
(donde)Tj
/F12 1 Tf
2.948 0 Td
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 286.32 120.48 Tm
(0)Tj
/F15 1 Tf
0 -0.87326 TD
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 293.28 116.52 Tm
(maximiza)Tj
/F13 1 Tf
4.532 0 Td
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 351.24 114.84 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 358.2 116.52 Tm
(en)Tj
/F12 1 Tf
1.331 0 Td
(B)Tj
/F8 1 Tf
0.814 0 Td
(\()Tj
/F12 1 Tf
[(p;)-165(p)]TJ
/F13 1 Tf
2.057 0 Td
<01>Tj
/F12 1 Tf
0.506 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 417.36 114.84 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 420.72 116.52 Tm
(\))Tj
-31.548 -2.112 TD
((iv))Tj
/F12 1 Tf
2.079 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.275 Tc
[(\)=0)275(.)]TJ
ET
endstream
endobj
9 0 obj
<<
/Length 25939
>>
stream
/GS4 gs
BT
/F11 1 Tf
10.90909 0 0 10.90909 184.56 722.16 Tm
0 g
[(equilibrio)-374(w)88(alrasiano)-352(en)-374(econom)]TJ
16.731 0.088 TD
<13>Tj
0.121 -0.088 TD
[(\020as)-363(de)-374(inter)22(cambio)]TJ
/F8 1 Tf
15.82899 0 Td
(7)Tj
/F17 1 Tf
-39.10499 -3.278 TD
(Prueba)Tj
/F8 1 Tf
0 -1.243 TD
((i)=)Tj
/F13 1 Tf
1.672 0 Td
(\))Tj
/F8 1 Tf
[((iii))-297(Como)]TJ
/F12 1 Tf
5.731 0 Td
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 201.48 676.8 Tm
(0)Tj
/F15 1 Tf
0 -0.88832 TD
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 207.96 672.84 Tm
(maximiza)Tj
/F13 1 Tf
4.466 0 Td
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 265.2 671.16 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 271.68 672.84 Tm
(en)Tj
/F12 1 Tf
1.276 0 Td
(B)Tj
/F8 1 Tf
0.814 0 Td
(\()Tj
/F12 1 Tf
[(p;)-165(p)]TJ
/F13 1 Tf
1.958 0 Td
<01>Tj
/F12 1 Tf
0.396 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 327.96 671.16 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 331.32 672.84 Tm
(\),)Tj
/F12 1 Tf
0.957 0 Td
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 348 676.8 Tm
(0)Tj
/F15 1 Tf
0 -0.88832 TD
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 354.36 672.84 Tm
(=)Tj
/F12 1 Tf
1.056 0 Td
(g)Tj
/F15 1 Tf
7.97011 0 0 7.97011 371.04 671.16 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 374.52 672.84 Tm
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.275 Tc
(\)=)Tj
/F12 1 Tf
2.607 0 Td
0 Tc
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 408.36 671.16 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 411.72 672.84 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.121 Tc
(\)+)Tj
/F12 1 Tf
1.914 0 Td
0 Tc
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 444.6 671.16 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 450.96 672.84 Tm
(=)Tj
/F12 1 Tf
1.056 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 468.72 671.16 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 475.2 672.84 Tm
[(p)-33(or)-275(la)-286(unicidad)]TJ
-33.06599 -1.243 TD
[(de)-341(la)-341(funci\023)495(on)-319(demanda.)]TJ
0 -1.276 TD
((iii)=)Tj
/F13 1 Tf
2.222 0 Td
(\))Tj
/F8 1 Tf
[((ii))-352(Es)-330(trivial.)]TJ
-2.222 -1.26499 TD
((ii)=)Tj
/F13 1 Tf
1.947 0 Td
(\))Tj
/F8 1 Tf
1.001 0 Td
((i))Tj
/F12 1 Tf
1.386 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 168 629.88 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 174.36 631.56 Tm
(=)Tj
/F12 1 Tf
1.056 0 Td
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 191.28 629.88 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 194.64 631.56 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.22 Tc
(\)+)Tj
/F12 1 Tf
2.101 0 Td
0 Tc
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 229.56 629.88 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 236.04 631.56 Tm
(=)Tj
/F12 1 Tf
1.056 0 Td
(g)Tj
/F15 1 Tf
7.97011 0 0 7.97011 252.72 629.88 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 256.08 631.56 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
[(\))-341(de\fne)-319(una)-330(asignaci\023)495(on)-341(alcanzable)-352(que)-330(cumple)-330(la)-341(condici\023)495(on)]TJ
-13.365 -1.24299 TD
[(de)-341(ser)-330(equilibrio)-330(w)33(alrasiano)-352(con)]TJ
/F12 1 Tf
14.08 0 Td
(p)Tj
/F8 1 Tf
0.836 0 Td
[(v)33(ector)-352(de)-330(precios)-341(corresp)-33(ondien)33(te.)]TJ
-14.916 -1.27599 TD
((i)=)Tj
/F13 1 Tf
1.672 0 Td
(\))Tj
/F8 1 Tf
[((iv))-363(P)33(or)-363(el)-363(corolario)-385(3)-363(tenemos)-363(que)]TJ
/F14 1 Tf
16.72 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 326.64 609.12 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 342.72 604.08 Tm
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 348.96 608.04 Tm
(0)Tj
/F15 1 Tf
0 -0.87326 TD
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 355.8 604.08 Tm
(=)Tj
/F14 1 Tf
1.089 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 379.2 609.12 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 395.28 604.08 Tm
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 403.08 602.4 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 410.4 604.08 Tm
[(y)-352(como)]TJ
/F12 1 Tf
3.52 0 Td
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 455.04 608.04 Tm
(0)Tj
/F15 1 Tf
0 -0.87326 TD
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 461.04 604.08 Tm
<00>Tj
/F12 1 Tf
1.012 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 479.88 602.4 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 486.72 604.08 Tm
(=)Tj
/F12 1 Tf
1.1 0 Td
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 504.12 602.4 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 507.36 604.08 Tm
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
[(\))-363(para)]TJ
-36.01399 -1.243 TD
(cada)Tj
/F12 1 Tf
2.332 0 Td
(i)Tj
/F8 1 Tf
0.627 0 Td
0.275 Tc
(=1)Tj
/F12 1 Tf
1.551 0 Td
0.165 Tc
[(;:::)-22(;n)]TJ
/F8 1 Tf
3.157 0 Td
0 Tc
(tenemos)Tj
/F14 1 Tf
3.894 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 252.12 595.56 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 268.2 590.52 Tm
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 273.6 588.84 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 276.96 590.52 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
[(\))-275(=)-275(0)-341(es)-330(decir)]TJ
/F12 1 Tf
6.677 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.275 Tc
[(\)=0)275(.)]TJ
-22.56099 -1.265 TD
0 Tc
((iv)=)Tj
/F13 1 Tf
2.2 0 Td
(\))Tj
/F8 1 Tf
[((ii))-363(Si)]TJ
/F12 1 Tf
4.18 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
[(\))-297(=)-308(0,)-363(en)33(tonces)]TJ
/F14 1 Tf
8.151 0.74801 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 291.12 581.76 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 305.28 576.72 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 314.88 575.04 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 318.36 576.72 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.231 Tc
(\)+)Tj
/F12 1 Tf
2.134 0 Td
0 Tc
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 353.64 575.04 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 357.12 576.72 Tm
0.308 Tc
(\)=)Tj
/F14 1 Tf
1.782 0.74801 TD
0 Tc
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 388.08 581.76 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 404.04 576.72 Tm
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 411.84 575.04 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 415.2 576.72 Tm
[(.)-363(En)-341(particular)-352(se)-363(tiene)-352(que)]TJ
/F14 1 Tf
-27.56599 -0.49499 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 126 568.2 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 140.28 563.16 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 149.88 561.48 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 153.24 563.16 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.198 Tc
(\)+)Tj
/F12 1 Tf
2.057 0 Td
0 Tc
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 187.68 561.48 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 191.04 563.16 Tm
(\))Tj
/F13 1 Tf
0.671 0 Td
<14>Tj
/F14 1 Tf
1.056 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 221.28 568.2 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 237.36 563.16 Tm
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 245.16 561.48 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 248.52 563.16 Tm
[(,)-319(p)-33(or)-308(lo)-330(tan)33(to)]TJ
/F12 1 Tf
6.116 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 321.48 561.48 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 327.84 563.16 Tm
(=)Tj
/F12 1 Tf
1.056 0 Td
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 344.76 561.48 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 348.12 563.16 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.198 Tc
(\)+)Tj
/F12 1 Tf
2.057 0 Td
0 Tc
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 382.56 561.48 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 389.4 563.16 Tm
[(de\fne)-308(una)-308(asignaci\023)495(on)-341(alcanzable.)]TJ
/F17 1 Tf
-25.201 -1.881 TD
(Nota)Tj
/F8 1 Tf
3.344 0 Td
[(P)33(or)-407(el)-407(teorema)-418(an)33(terior,)-418(es)-396(claro)-418(que)-396(to)-33(do)-407(v)33(ector)-418(de)-396(precios)-407(corresp)-33(ondien)33(te)-396(a)-407(un)]TJ
-3.344 -1.243 TD
[(equilibrio)-451(w)33(alrasiano)-462(\(de\fnici\023)495(on)-451(4\))-451(es)-451(un)-429(v)33(ector)-473(de)-440(equilibrio)-451(de)-440(precios)-451(\(de\fnici\023)495(on)-451(3\))-451(y)]TJ
T*
[(vicev)33(ersa.)]TJ
/F17 1 Tf
0 -1.87 TD
[(Prop)-33(osici\023)572(on)-418(5)]TJ
/F8 1 Tf
7.612 0 Td
[(Si)-341(las)-352(p)-33(ertenencias)-341(son)-341(estrictamen)33(te)-374(monot\023)495(onicas,)-363(con)33(tin)33(uas)-363(y)-341(con)33(v)33(exas,)]TJ
-7.612 -1.243 TD
[(en)33(tonces)-352(to)-33(da)-341(asignaci\023)495(on)]TJ
/F12 1 Tf
11.176 0 Td
(x)Tj
/F8 1 Tf
0.858 0 Td
0.275 Tc
(=\()Tj
/F12 1 Tf
1.441 0 Td
0 Tc
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 267.72 479.88 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 271.08 481.56 Tm
[(\))-341(que)-330(es)-341(un)-319(equilibrio)-341(w)33(alrasiano)-341(de)-341(precios)-330(es)-341(un)-319<13>495(optimo.)]TJ
/F17 1 Tf
-14.355 -1.276 TD
(Prueba)Tj
/F8 1 Tf
4.301 0 Td
[(P)33(or)-319(la)-330(prop)-33(osici\023)495(on)-308(2.5)-330(de)-308(Acu)-33(~)528(na{Ulate)-341((1992),)-352(es)-308(su\fcien)33(te)-330(probar)-297(que)-319(\()]TJ
/F12 1 Tf
31.44899 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 510.72 465.96 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 514.08 467.64 Tm
0.319 Tc
[(\)e)319(su)319(n)]TJ
-36.62999 -1.243 TD
0 Tc
[(equilibrio)-385(de)-363(precios)-385(comp)-33(ensado.)-363(Sea)]TJ
/F12 1 Tf
17.05 0 Td
0.33 Tc
(p>)Tj
/F8 1 Tf
1.958 0 Td
0 Tc
[(0)-374(v)33(ector)-396(de)-363(equilibrio)-385(de)-363(precios)-385(para)-363(\()]TJ
/F12 1 Tf
17.193 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 515.64 452.4 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 519.12 454.08 Tm
[(\),)-374(p)-33(or)]TJ
-37.092 -1.243 TD
[(la)-319(prop)-33(osici\023)495(on)-308(3)-308(tenemos)]TJ
/F14 1 Tf
11.055 0.759 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 246.6 445.56 Tm
(n)Tj
0 -1.02382 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 262.56 440.52 Tm
(p)Tj
/F13 1 Tf
0.682 0 Td
<01>Tj
/F12 1 Tf
0.44 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 281.04 438.84 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 287.52 440.52 Tm
(=)Tj
/F14 1 Tf
1.056 0.759 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 310.56 445.56 Tm
(n)Tj
0 -1.02382 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 326.52 440.52 Tm
(p)Tj
/F13 1 Tf
0.682 0 Td
<01>Tj
/F12 1 Tf
0.44 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 346.56 438.84 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 350.04 440.52 Tm
[(.)-308(P)33(or)-308(otro)-319(lado)-319(sea)]TJ
/F12 1 Tf
8.305 0 Td
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 446.88 444.48 Tm
(0)Tj
/F15 1 Tf
0 -0.87326 TD
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 453.72 440.52 Tm
[(una)-297(canasta)-319(tal)-319(que)]TJ
/F12 1 Tf
-31.09699 -1.232 TD
(p)Tj
/F13 1 Tf
0.737 0 Td
<01>Tj
/F12 1 Tf
0.506 0 Td
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 134.28 431.04 Tm
(0)Tj
/F15 1 Tf
0 -0.88832 TD
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 140.88 427.08 Tm
0.297 Tc
(Tj
/F12 1 Tf
0.506 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 172.44 425.4 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 175.8 427.08 Tm
[(,)-341(como)]TJ
/F12 1 Tf
3.245 0 Td
(p)Tj
/F13 1 Tf
0.737 0 Td
<01>Tj
/F12 1 Tf
0.506 0 Td
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 231 431.04 Tm
(0)Tj
/F15 1 Tf
0 -0.88832 TD
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 237.6 427.08 Tm
<14>Tj
/F12 1 Tf
1.078 0 Td
(p)Tj
/F13 1 Tf
0.726 0 Td
<01>Tj
/F12 1 Tf
0.506 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 270.6 425.4 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 274.08 427.08 Tm
[(,)-341(tenemos)-352(que)]TJ
/F12 1 Tf
6.402 0 Td
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 350.16 431.04 Tm
(0)Tj
/F15 1 Tf
0 -0.88832 TD
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 356.76 427.08 Tm
(2)Tj
/F12 1 Tf
0.957 0 Td
(B)Tj
/F8 1 Tf
0.814 0 Td
(\()Tj
/F12 1 Tf
[(p;)-165(w)]TJ
/F13 1 Tf
2.31 0 Td
<01>Tj
/F12 1 Tf
0.506 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 412.32 425.4 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 415.68 427.08 Tm
[(\))-341(y)-352(en)33(tonces)]TJ
/F12 1 Tf
5.654 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 483.6 425.4 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 490.2 427.08 Tm
<17>Tj
/F15 1 Tf
7.97011 0 0 7.97011 498.72 425.4 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 505.32 427.08 Tm
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 511.56 431.04 Tm
(0)Tj
/F15 1 Tf
0 -0.88832 TD
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 514.92 427.08 Tm
[(,)-341(como)]TJ
/F12 1 Tf
-36.70699 -1.243 TD
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 120.72 417.48 Tm
(0)Tj
/F15 1 Tf
0 -0.88832 TD
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 125.76 413.52 Tm
<01>Tj
/F12 1 Tf
0.429 0 Td
0.275 Tc
(p
Tj
/F12 1 Tf
0.429 0 Td
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 170.16 411.84 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 176.76 413.52 Tm
[(se)-308(deb)-33(e)-286(tener)]TJ
/F12 1 Tf
5.995 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 248.4 411.84 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 254.76 413.52 Tm
<1F>Tj
/F12 1 Tf
1.056 0 Td
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 272.52 417.48 Tm
(0)Tj
/F15 1 Tf
0 -0.88832 TD
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 275.88 413.52 Tm
[(.)-297(Hemos)-308(probado)-297(que)]TJ
/F12 1 Tf
9.482 0 Td
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 385.56 417.48 Tm
(0)Tj
/F15 1 Tf
0 -0.88832 TD
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 391.92 413.52 Tm
<17>Tj
/F12 1 Tf
1.056 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 409.68 411.84 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 416.28 413.52 Tm
(implica)Tj
/F12 1 Tf
3.465 0 Td
(p)Tj
/F13 1 Tf
0.66 0 Td
<01>Tj
/F12 1 Tf
0.429 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 472.2 411.84 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 478.68 413.52 Tm
<14>Tj
/F12 1 Tf
1.056 0 Td
(p)Tj
/F13 1 Tf
0.66 0 Td
<01>Tj
/F12 1 Tf
0.429 0 Td
(x)Tj
/F16 1 Tf
7.97011 0 0 7.97011 508.32 417.48 Tm
(0)Tj
/F15 1 Tf
0 -0.88832 TD
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 511.56 413.52 Tm
(:)Tj
/F8 1 Tf
0.583 0 Td
(Luego)Tj
-36.98199 -1.243 TD
(\()Tj
/F12 1 Tf
0.385 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 124.92 398.28 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 128.4 399.96 Tm
[(\))-330(es)-341(un)-319(equilibrio)-341(de)-330(precios)-341(comp)-33(ensado.)]TJ
0.275 -1.881 TD
[(De)-341(aqu)110<13>]TJ
3.124 0 Td
[<10>-341(en)-330(adelan)33(te)-341(sup)-33(ondremos)-308(que)-330(to)-33(dos)-330(los)-341(individuos)-319(de)-330(la)-341(econom)110<13>]TJ
28.523 0 Td
<1061>Tj
/F13 1 Tf
1.122 0 Td
(E)Tj
/F8 1 Tf
0.946 0 Td
[(tienen)-330(sus)]TJ
-35.26599 -1.243 TD
[(preferencias)-341(C)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 182.28 369.84 Tm
(r)Tj
/F8 1 Tf
10.90909 0 0 10.90909 186.72 365.88 Tm
(,)Tj
/F12 1 Tf
0.616 0 Td
(r)Tj
/F13 1 Tf
0.759 0 Td
<15>Tj
/F8 1 Tf
1.056 0 Td
[(2)-330(y)-341(satisfacen)-341(la)-341(condici\023)495(on)-341(de)-341(fron)33(tera.)]TJ
/F17 1 Tf
-9.053 -1.881 TD
[(Prop)-33(osici\023)572(on)-583(6)]TJ
/F8 1 Tf
8.052 0 Td
[(Si)-484(las)-484(preferencias)-473(son)-484(estrictamen)33(te)-506(monot\023)495(onicas,)-495(con)33(tin)33(uas)-495(y)-473(I.E.C.,)]TJ
-8.052 -1.232 TD
[(en)33(tonces)-352(la)-341(funci\023)495(on)]TJ
/F12 1 Tf
8.679 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(:)Tj
/F12 1 Tf
0.44 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 231 335.88 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F13 1 Tf
10.90909 0 0 10.90909 247.44 331.92 Tm
-0.165 Tc
<0021>Tj
/F12 1 Tf
1.892 0 Td
0 Tc
(R)Tj
/F15 1 Tf
7.97011 0 0 7.97011 276.48 335.88 Tm
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 283.2 331.92 Tm
[(de)-330(exceso)-352(de)-330(demanda)-330(agregada,)-363(es)-330(C)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 462.48 335.88 Tm
(r)Tj
/F16 1 Tf
0.51191 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 477.84 331.92 Tm
(.)Tj
/F17 1 Tf
-33.30799 -1.276 TD
(Prueba)Tj
/F8 1 Tf
4.334 0 Td
(Como)Tj
/F12 1 Tf
2.882 0 Td
(f)Tj
/F8 1 Tf
0.88 0 Td
(=)Tj
/F14 1 Tf
1.056 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 225.84 323.04 Tm
(n)Tj
0 -1.03888 TD
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 241.8 318 Tm
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 247.2 316.32 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 254.16 318 Tm
(y)Tj
/F12 1 Tf
0.858 0 Td
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 268.92 316.32 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 275.76 318 Tm
[(es)-330(C)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 296.4 321.96 Tm
(r)Tj
/F16 1 Tf
0.51191 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 311.76 318 Tm
[(,)-330(p)-33(or)-319(prop)-33(osici\023)495(on)-330(15)-330(de)-330(Acu)-33(~)]TJ
12.122 0 Td
[(na{Ulate)-352((1991),)]TJ
/F12 1 Tf
7.634 0 Td
(f)Tj
/F8 1 Tf
0.924 0 Td
(es)Tj
-38.76399 -1.243 TD
(C)Tj
/F15 1 Tf
7.97011 0 0 7.97011 122.4 308.4 Tm
(r)Tj
/F16 1 Tf
0.51191 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 137.76 304.44 Tm
(.)Tj
/F17 1 Tf
-2.134 -1.881 TD
[(De\fnici\023)572(on)-550(5)]TJ
/F8 1 Tf
7.161 0 Td
[(Sup)-33(oniendo)-440(las)-473(hip\023)495(otesis)-473(de)-462(la)-473(prop)-33(osici\023)495(on)-462(6,)-462(decimos)-473(que)-462(un)-462(v)33(ector)-473(de)]TJ
-7.161 -1.232 TD
[(precios)-341(de)-330(equilibrio)]TJ
/F12 1 Tf
9.097 0 Td
(p)Tj
/F8 1 Tf
0.836 0 Td
[(es)-341(regular)-330(si)-341(el)-341(rango)-330(de)]TJ
/F12 1 Tf
10.747 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.33 Tc
[(\)e)330(s)]TJ
/F12 1 Tf
2.783 0 Td
0 Tc
(l)Tj
/F13 1 Tf
0.539 0 Td
<00>Tj
/F8 1 Tf
1.001 0 Td
(1.)Tj
/F17 1 Tf
-26.19099 -1.881 TD
[(De\fnici\023)572(on)-462(6)]TJ
/F8 1 Tf
6.908 0 Td
[(Una)-396(econom)110<13>]TJ
5.467 0 Td
<1061>Tj
/F13 1 Tf
1.177 0 Td
(E)Tj
/F8 1 Tf
1.012 0 Td
[(es)-385(regular)-396(si)-385(to)-33(do)-396(v)33(ector)-407(de)-385(precios)-396(de)-385(equilibrio)-396(en)]TJ
/F13 1 Tf
23.199 0 Td
(E)Tj
/F8 1 Tf
1.001 0 Td
(es)Tj
-38.76399 -1.243 TD
(regular.)Tj
/F17 1 Tf
0 -1.881 TD
[(Lema)-506(7)]TJ
/F8 1 Tf
4.763 0 Td
(Sea)Tj
/F12 1 Tf
1.947 0 Td
(A)Tj
/F8 1 Tf
1.188 0 Td
[(una)-429(matriz)]TJ
/F12 1 Tf
5.324 0 Td
(l)Tj
/F13 1 Tf
0.616 0 Td
<02>Tj
/F12 1 Tf
1.067 0 Td
(l)Tj
/F8 1 Tf
0.759 0 Td
[(tal)-451(que)-440(para)]TJ
/F12 1 Tf
5.962 0 Td
(p)Tj
/F13 1 Tf
0.957 0 Td
(2)Tj
/F12 1 Tf
1.122 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 383.52 219.84 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 391.44 215.88 Tm
[(se)-440(tiene)]TJ
/F12 1 Tf
3.828 0 Td
(Ap)Tj
/F8 1 Tf
1.705 0 Td
0.462 Tc
[(=0)22(y)]TJ
/F12 1 Tf
3.146 0 Td
0 Tc
(A)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
1.133 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 504.84 214.2 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 509.64 215.88 Tm
(\))Tj
/F13 1 Tf
0.847 0 Td
<12>Tj
/F12 1 Tf
1.232 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 538.68 214.2 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 543.48 215.88 Tm
(,)Tj
-39.32499 -1.87 TD
(donde)Tj
/F12 1 Tf
2.992 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 153.48 193.8 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 162 195.48 Tm
(=)Tj
/F13 1 Tf
1.111 0 Td
(f)Tj
/F12 1 Tf
0.495 0 Td
(q)Tj
/F13 1 Tf
0.836 0 Td
(2)Tj
/F12 1 Tf
1.012 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 210.12 199.44 Tm
0 Tc
(l)Tj
/F12 1 Tf
10.90909 0 0 10.90909 213.12 195.48 Tm
(=pq)Tj
/F8 1 Tf
1.826 0 Td
0.341 Tc
(=0)Tj
/F13 1 Tf
1.617 0 Td
0 Tc
(g)Tj
/F8 1 Tf
[(,)-385(en)33(tonces)-396(det\()]TJ
/F12 1 Tf
7.007 0 Td
(A=T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 347.04 193.8 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 351.96 195.48 Tm
0.341 Tc
(\)=)Tj
2.673 0.671 TD
0 Tc
(1)Tj
ET
q
21.24 0 0 -0.48 373.308 198.468 cm
/Im1 Do
Q
BT
/F13 1 Tf
10.90909 0 0 10.90909 373.32 187.92 Tm
(k)Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F13 1 Tf
0.506 0 Td
(k)Tj
/F4 1 Tf
7.97011 0 0 7.97011 389.64 191.16 Tm
(2)Tj
/F8 1 Tf
10.90909 0 0 10.90909 397.44 195.48 Tm
(det)Tj
/F14 1 Tf
1.562 1.408 TD
<14>Tj
/F12 1 Tf
1.408 -0.792 TD
1.342 Tc
(Ap)Tj
/F13 1 Tf
-0.429 -1.232 TD
0 Tc
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 439.2 192.72 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 452.64 188.76 Tm
(0)Tj
/F14 1 Tf
0.957 2.024 TD
<15>Tj
/F8 1 Tf
0.528 -1.408 TD
[(,)-385(donde)]TJ
/F12 1 Tf
3.641 0 Td
(A=T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 528.48 193.8 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 537.36 195.48 Tm
(es)Tj
-38.76399 -1.837 TD
[(la)-341(transformaci\023)495(on)-341(lineal)]TJ
/F12 1 Tf
10.659 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 237.12 173.76 Tm
(p)Tj
/F13 1 Tf
10.90909 0 0 10.90909 244.92 175.44 Tm
-0.176 Tc
<0021>Tj
/F12 1 Tf
1.881 0 Td
0 Tc
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 271.8 173.76 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 280.2 175.44 Tm
[(tal)-352(que)-330(\()]TJ
/F12 1 Tf
3.751 0 Td
(A=T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 341.04 173.76 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 345.96 175.44 Tm
(\)\()Tj
/F12 1 Tf
0.77 0 Td
(v)Tj
/F8 1 Tf
0.517 0 Td
0.286 Tc
(\)=)Tj
/F12 1 Tf
1.727 0 Td
0 Tc
(Av)Tj
/F8 1 Tf
1.265 0 Td
(.)Tj
/F17 1 Tf
-25.498 -1.265 TD
(Prueba)Tj
/F8 1 Tf
4.323 0 Td
[(Sea)-330(\()]TJ
/F12 1 Tf
2.211 0 Td
(p)Tj
/F4 1 Tf
7.97011 0 0 7.97011 191.28 159.96 Tm
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 195.96 161.64 Tm
0.165 Tc
[(;:::)-22(;p)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 225.72 159.84 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 239.64 161.64 Tm
[(\))-330(base)-330(ordenada)-319(de)]TJ
/F12 1 Tf
8.591 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 339.72 159.96 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 344.4 161.64 Tm
[(,)-330(en)33(tonces)-341(\()]TJ
/F12 1 Tf
5.016 0 Td
(p)Tj
/F4 1 Tf
7.97011 0 0 7.97011 404.64 159.96 Tm
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 409.32 161.64 Tm
0.165 Tc
[(;:::)-22(;p)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 439.08 159.84 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 453 161.64 Tm
0.165 Tc
(;p)Tj
/F8 1 Tf
0.946 0 Td
0 Tc
[(\))-330(es)-330(tam)33(bi)33<13>]TJ
4.389 0 Td
[(en)-341(base)]TJ
-36.36599 -1.243 TD
[(ordenada)-319(de)]TJ
/F12 1 Tf
5.643 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 186.48 152.04 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 189.6 148.08 Tm
[(.)-319(Denote)-341(p)-33(or)]TJ
/F12 1 Tf
5.808 0 Td
(H)Tj
/F8 1 Tf
1.188 0 Td
0.275 Tc
(=\()Tj
/F12 1 Tf
1.441 0 Td
0 Tc
(h)Tj
/F15 1 Tf
7.97011 0 0 7.97011 287.88 146.4 Tm
(ij)Tj
/F8 1 Tf
10.90909 0 0 10.90909 295.2 148.08 Tm
[(\))-330(la)-319(matriz)-330(\()]TJ
/F12 1 Tf
5.346 0 Td
(l)Tj
/F13 1 Tf
0.517 0 Td
<00>Tj
/F8 1 Tf
0.979 0 Td
(1\))Tj
/F13 1 Tf
1.078 0 Td
<02>Tj
/F8 1 Tf
0.979 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(l)Tj
/F13 1 Tf
0.517 0 Td
<00>Tj
/F8 1 Tf
0.968 0 Td
[(1\))-330(que)-319(represen)33(ta)-319(a)]TJ
/F12 1 Tf
8.679 0 Td
(A=T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 527.28 146.4 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 535.56 148.08 Tm
(en)Tj
-38.59899 -1.243 TD
[(la)-341(base)-341(\()]TJ
/F12 1 Tf
3.729 0 Td
(p)Tj
/F4 1 Tf
7.97011 0 0 7.97011 160.68 132.84 Tm
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 165.36 134.52 Tm
0.165 Tc
[(;:::)-22(;p)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 195.12 132.72 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 209.04 134.52 Tm
(\))Tj
/F12 1 Tf
0.385 0 Td
(;)Tj
/F8 1 Tf
0.616 0 Td
[(se)-341(tiene)-341(que)]TJ
/F12 1 Tf
5.478 0 Td
(Ap)Tj
/F15 1 Tf
7.97011 0 0 7.97011 293.4 132.84 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 299.88 134.52 Tm
(=)Tj
/F14 1 Tf
1.056 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 322.8 139.56 Tm
(n)Tj
/F16 1 Tf
0.64742 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F15 1 Tf
-1.47551 -1.03888 TD
(k)Tj
/F4 1 Tf
0.58719 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 341.16 134.52 Tm
(h)Tj
/F15 1 Tf
7.97011 0 0 7.97011 347.4 132.72 Tm
0.03 Tc
(ki)Tj
/F12 1 Tf
10.90909 0 0 10.90909 355.44 134.52 Tm
0 Tc
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 360.96 132.72 Tm
(k)Tj
/F8 1 Tf
10.90909 0 0 10.90909 366 134.52 Tm
[(,)-341(para)]TJ
/F12 1 Tf
2.893 0 Td
(i)Tj
/F8 1 Tf
0.627 0 Td
0.275 Tc
(=1)Tj
/F12 1 Tf
1.551 0 Td
0.165 Tc
[(;:::)-22(;l)]TJ
/F13 1 Tf
2.761 0 Td
0 Tc
<00>Tj
/F8 1 Tf
1.001 0 Td
(1.)Tj
-30.33799 -1.276 TD
(Sea)Tj
/F12 1 Tf
1.991 0 Td
(P)Tj
/F8 1 Tf
1.309 0 Td
0.539 Tc
(=\()Tj
/F12 1 Tf
1.705 0 Td
0 Tc
(p)Tj
/F4 1 Tf
7.97011 0 0 7.97011 191.52 118.92 Tm
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 196.2 120.6 Tm
0.165 Tc
[(;:::)-22(;p)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 225.96 118.8 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 239.88 120.6 Tm
0.165 Tc
[(;p)165(=)]TJ
/F13 1 Tf
1.441 0 Td
0 Tc
(k)Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F13 1 Tf
(k)Tj
/F8 1 Tf
[(\))-506(matriz)]TJ
/F12 1 Tf
5.214 0 Td
(l)Tj
/F13 1 Tf
0.638 0 Td
<02>Tj
/F12 1 Tf
1.111 0 Td
(l)Tj
/F8 1 Tf
0.803 0 Td
[(de\fnida)-473(p)-33(or)-473(columnas.)]TJ
/F12 1 Tf
10.714 0 Td
(P)Tj
/F8 1 Tf
1.265 0 Td
[(es)-495(in)33(v)33(ertible)-495(y)]TJ
-33.176 -1.243 TD
[(si)-440(\()]TJ
/F12 1 Tf
1.496 0 Td
(e)Tj
/F4 1 Tf
7.97011 0 0 7.97011 135.84 105.36 Tm
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 140.64 107.04 Tm
0.165 Tc
[(;:::)-22(;e)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 169.92 105.24 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 173.04 107.04 Tm
[(\))-440(es)-440(la)-440(base)-429(can\023)495(onica)-451(de)]TJ
/F12 1 Tf
11.275 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 306.48 111 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 309.6 107.04 Tm
[(,)-440(en)33(tonces)]TJ
/F12 1 Tf
4.84 0 Td
[(AP)-143(e)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 384.12 105.36 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 392.4 107.04 Tm
(=)Tj
/F12 1 Tf
1.232 0 Td
(Ap)Tj
/F15 1 Tf
7.97011 0 0 7.97011 419.52 105.36 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 427.68 107.04 Tm
(=)Tj
/F14 1 Tf
1.221 0.759 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 452.52 112.08 Tm
(n)Tj
/F16 1 Tf
0.64742 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F15 1 Tf
-1.47551 -1.03888 TD
(k)Tj
/F4 1 Tf
0.58719 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 470.76 107.04 Tm
(h)Tj
/F15 1 Tf
7.97011 0 0 7.97011 477 105.24 Tm
0.03 Tc
(ki)Tj
/F12 1 Tf
10.90909 0 0 10.90909 485.04 107.04 Tm
0 Tc
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 490.56 105.24 Tm
(k)Tj
/F8 1 Tf
10.90909 0 0 10.90909 495.72 107.04 Tm
[(,)-440(para)]TJ
/F12 1 Tf
3.091 0 Td
(i)Tj
/F8 1 Tf
0.792 0 Td
(=)Tj
-38.83 -1.243 TD
(1)Tj
/F12 1 Tf
0.165 Tc
[(;:::)-22(;l)]TJ
/F13 1 Tf
3.267 0 Td
0 Tc
<00>Tj
/F8 1 Tf
1.001 0 Td
0.341 Tc
(1y)Tj
/F12 1 Tf
1.694 0 Td
0 Tc
[(AP)-143(e)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 201.24 91.8 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 210 93.48 Tm
(=)Tj
/F12 1 Tf
1.056 0 Td
(A)Tj
/F13 1 Tf
0.968 0 Td
<01>Tj
/F8 1 Tf
0.495 0 Td
(\()Tj
/F12 1 Tf
(p=)Tj
/F13 1 Tf
1.386 0 Td
(k)Tj
/F12 1 Tf
(p)Tj
/F13 1 Tf
(k)Tj
/F8 1 Tf
[(\))-297(=)-275(0.)-341(T)88(enemos)-341(tam)33(bi)33<13>]TJ
11 0 Td
[(en)-352(que)]TJ
ET
endstream
endobj
10 0 obj
<<
/Length 12251
>>
stream
/GS4 gs
BT
/F8 1 Tf
10.90909 0 0 10.90909 72 722.16 Tm
0 g
(8)Tj
/F11 1 Tf
15.191 0 Td
[(o.)-374(a)22(cu)]TJ
3.168 0.088 TD
(~)Tj
-0.033 -0.088 TD
[(na)-363({)-385(f.)-374(ula)66(te)]TJ
/F12 1 Tf
-8.25 -6.369 TD
(P)Tj
/F13 1 Tf
1.001 0 Td
<01>Tj
/F14 1 Tf
0.506 1.419 TD
<14>Tj
/F12 1 Tf
0.979 -0.792 TD
(H)Tj
/F8 1 Tf
1.826 0 Td
(0)Tj
-1.617 -1.243 TD
1.122 Tc
(00)Tj
/F14 1 Tf
2.574 2.03501 TD
0 Tc
<15>Tj
/F12 1 Tf
0.693 -1.419 TD
(e)Tj
/F15 1 Tf
7.97011 0 0 7.97011 252 651 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 258.48 652.6801 Tm
(=)Tj
/F12 1 Tf
1.056 0 Td
(P)Tj
/F13 1 Tf
1.001 0 Td
<01>Tj
/F14 1 Tf
0.506 2.915 TD
(2)Tj
0 -1.76 TD
(6)Tj
0 -0.605 TD
(6)Tj
0 -0.594 TD
(6)Tj
0 -0.638 TD
(4)Tj
/F12 1 Tf
1.54 2.805 TD
(h)Tj
/F4 1 Tf
7.97011 0 0 7.97011 309.48 674.16 Tm
(1)Tj
/F15 1 Tf
0.52697 0 Td
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 308.64 664.6801 Tm
(.)Tj
0 -0.363 TD
(.)Tj
(.)'
/F12 1 Tf
-0.913 -1.243 TD
(h)Tj
/F15 1 Tf
7.97011 0 0 7.97011 304.92 641.4 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F15 1 Tf
0.52697 0 Td
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 307.44 629.64 Tm
(0)Tj
/F14 1 Tf
1.771 5.027 TD
(3)Tj
0 -1.76 TD
(7)Tj
0 -0.605 TD
(7)Tj
0 -0.594 TD
(7)Tj
0 -0.638 TD
(5)Tj
/F8 1 Tf
0.946 0.682 TD
(=)Tj
/F15 1 Tf
7.97011 0 0 7.97011 349.68 666.36 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F14 1 Tf
10.90909 0 0 10.90909 348.6 663.1201 Tm
(X)Tj
/F15 1 Tf
7.97011 0 0 7.97011 348.72 639.36 Tm
(k)Tj
/F4 1 Tf
0.5872 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 366.12 652.6801 Tm
(h)Tj
/F15 1 Tf
7.97011 0 0 7.97011 372.36 650.88 Tm
0.03 Tc
(ki)Tj
/F12 1 Tf
10.90909 0 0 10.90909 380.4 652.6801 Tm
0 Tc
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 385.92 650.88 Tm
(k)Tj
/F12 1 Tf
10.90909 0 0 10.90909 391.08 652.6801 Tm
(;)Tj
/F8 1 Tf
-29.24899 -4.664 TD
(con)Tj
/F12 1 Tf
1.947 0 Td
(i)Tj
/F8 1 Tf
0.825 0 Td
0.473 Tc
(=1)Tj
/F12 1 Tf
1.749 0 Td
0.165 Tc
[(;:::)-22(;l)]TJ
/F13 1 Tf
2.838 0 Td
0 Tc
<00>Tj
/F8 1 Tf
1.078 0 Td
0.462 Tc
(1y)Tj
/F12 1 Tf
1.936 0 Td
0 Tc
(P)Tj
/F13 1 Tf
1.078 0 Td
<01>Tj
/F14 1 Tf
0.583 1.40801 TD
<14>Tj
/F12 1 Tf
0.979 -0.781 TD
(H)Tj
/F8 1 Tf
1.826 0 Td
(0)Tj
-1.617 -1.243 TD
1.122 Tc
(00)Tj
/F14 1 Tf
2.574 2.024 TD
0 Tc
<15>Tj
/F12 1 Tf
0.693 -1.408 TD
(e)Tj
/F15 1 Tf
7.97011 0 0 7.97011 256.92 600.12 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 267.84 601.8 Tm
(=)Tj
/F12 1 Tf
1.243 0 Td
(P)Tj
/F13 1 Tf
1.089 0 Td
<01>Tj
/F8 1 Tf
0.572 0 Td
[(0)-484(=)-462(0,)-462(p)-33(or)-440(lo)-462(tan)33(to)]TJ
/F12 1 Tf
9.372 0 Td
(A)Tj
/F13 1 Tf
1.045 0 Td
<01>Tj
/F12 1 Tf
0.583 0 Td
(P)Tj
/F8 1 Tf
1.254 0 Td
(=)Tj
/F12 1 Tf
1.243 0 Td
(P)Tj
/F14 1 Tf
0.957 1.40801 TD
<14>Tj
/F12 1 Tf
0.979 -0.781 TD
(H)Tj
/F8 1 Tf
1.826 0 Td
(0)Tj
-1.617 -1.243 TD
1.122 Tc
(00)Tj
/F14 1 Tf
2.574 2.024 TD
0 Tc
<15>Tj
/F8 1 Tf
-39.07199 -4.169 TD
[(y)-440(en)33(tonces)]TJ
/F14 1 Tf
5.104 1.419 TD
<14>Tj
/F12 1 Tf
0.99 -0.792 TD
(P)Tj
/F8 1 Tf
1.694 0 Td
(0)Tj
-1.551 -1.243 TD
1.056 Tc
(01)Tj
/F14 1 Tf
2.508 2.03501 TD
0 Tc
<15>Tj
/F16 1 Tf
7.97011 0 0 7.97011 173.16 584.88 Tm
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F14 1 Tf
10.90909 0 0 10.90909 186.24 587.16 Tm
<14>Tj
/F12 1 Tf
1.419 -0.792 TD
1.342 Tc
(Ap)Tj
/F13 1 Tf
-0.429 -1.24299 TD
0 Tc
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 211.08 568.92 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 224.52 564.96 Tm
(0)Tj
/F14 1 Tf
0.957 2.035 TD
0.165 Tc
<1514>Tj
/F12 1 Tf
1.683 -0.79199 TD
0 Tc
(P)Tj
/F8 1 Tf
1.694 0 Td
(0)Tj
-1.551 -1.243 TD
1.056 Tc
(01)Tj
/F14 1 Tf
2.508 2.03501 TD
0 Tc
<15>Tj
/F8 1 Tf
0.979 -1.419 TD
(=)Tj
/F14 1 Tf
1.232 1.419 TD
<14>Tj
/F12 1 Tf
1.166 -0.792 TD
(p)Tj
/F16 1 Tf
7.97011 0 0 7.97011 324.6 582.48 Tm
<00>Tj
/F4 1 Tf
0.8281 0 Td
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 335.88 578.52 Tm
[(AP)-1232(P)]TJ
/F16 1 Tf
7.97011 0 0 7.97011 372.96 582.48 Tm
<00>Tj
/F4 1 Tf
0.8281 0 Td
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 384.24 578.52 Tm
(p)Tj
/F13 1 Tf
-6.149 -1.243 TD
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 331.2 568.92 Tm
(t)Tj
/F12 1 Tf
10.90909 0 0 10.90909 334.68 564.96 Tm
(P)Tj
/F16 1 Tf
7.97011 0 0 7.97011 343.2 568.92 Tm
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 374.4 564.96 Tm
(0)Tj
/F14 1 Tf
1.87 2.035 TD
<15>Tj
/F8 1 Tf
0.528 -1.419 TD
[(.)-440(P)33(ero)-451(como)]TJ
/F13 1 Tf
5.863 0 Td
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 478.56 575.64 Tm
(t)Tj
/F12 1 Tf
10.90909 0 0 10.90909 482.04 571.68 Tm
(P)Tj
/F8 1 Tf
1.232 0 Td
(=)Tj
-38.81899 -4.07 TD
([0)Tj
/F12 1 Tf
0.165 Tc
[(;:::)-22(;)]TJ
/F8 1 Tf
2.992 0 Td
0 Tc
(0)Tj
/F12 1 Tf
0.495 0 Td
(;)Tj
/F13 1 Tf
0.44 0 Td
<006B>Tj
/F12 1 Tf
(p)Tj
/F13 1 Tf
1.782 0 Td
(k)Tj
/F8 1 Tf
0.638 Tc
(]y)Tj
/F12 1 Tf
2.266 0 Td
0 Tc
(P)Tj
/F16 1 Tf
7.97011 0 0 7.97011 167.52 531.2401 Tm
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 178.8 527.28 Tm
(p)Tj
/F8 1 Tf
0.781 0 Td
(=)Tj
/F14 1 Tf
1.056 2.904 TD
(2)Tj
0 -1.76 TD
(6)Tj
0 -0.594 TD
(6)Tj
0 -0.605 TD
(6)Tj
0 -0.638 TD
(4)Tj
/F8 1 Tf
1.628 2.816 TD
(0)Tj
0.11 -1.023 TD
(.)Tj
0 -0.374 TD
(.)Tj
0 -0.363 TD
(.)Tj
-0.11 -1.243 TD
(0)Tj
/F13 1 Tf
-0.506 -1.243 TD
(k)Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F13 1 Tf
0.506 0 Td
(k)Tj
/F14 1 Tf
0.968 5.027 TD
(3)Tj
0 -1.76 TD
(7)Tj
0 -0.594 TD
(7)Tj
0 -0.605 TD
(7)Tj
0 -0.638 TD
(5)Tj
/F8 1 Tf
0.99 0.693 TD
[(concluimos)-352(que:)]TJ
/F14 1 Tf
-9.515 -4.29 TD
<14>Tj
/F12 1 Tf
0.99 -0.792 TD
(P)Tj
/F8 1 Tf
1.694 0 Td
(0)Tj
-1.551 -1.243 TD
1.056 Tc
(01)Tj
/F14 1 Tf
2.508 2.035 TD
0 Tc
<15>Tj
/F16 1 Tf
7.97011 0 0 7.97011 185.04 478.2 Tm
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F14 1 Tf
10.90909 0 0 10.90909 198.12 480.48 Tm
<14>Tj
/F12 1 Tf
1.419 -0.792 TD
1.342 Tc
(Ap)Tj
/F13 1 Tf
-0.429 -1.243 TD
0 Tc
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 222.96 462.24 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 236.4 458.28 Tm
(0)Tj
/F14 1 Tf
0.957 2.035 TD
0.165 Tc
<1514>Tj
/F12 1 Tf
1.683 -0.792 TD
0 Tc
(P)Tj
/F8 1 Tf
1.694 0 Td
(0)Tj
-1.551 -1.243 TD
1.056 Tc
(01)Tj
/F14 1 Tf
2.508 2.035 TD
0 Tc
<15>Tj
/F8 1 Tf
0.803 -1.408 TD
(=)Tj
/F14 1 Tf
1.056 2.002 TD
(2)Tj
0 -1.793 TD
(4)Tj
/F12 1 Tf
1.122 1.034 TD
(H)Tj
/F8 1 Tf
4.906 0 Td
(0)Tj
-4.697 -1.87 TD
(0)Tj
/F14 1 Tf
1.617 1.408 TD
<14>Tj
/F8 1 Tf
1.881 -0.781 TD
(0)Tj
/F13 1 Tf
2.299 0 Td
(k)Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F13 1 Tf
0.506 0 Td
(k)Tj
-4.191 -1.243 TD
<006B>Tj
/F12 1 Tf
1.276 0 Td
(p)Tj
/F13 1 Tf
0.506 0 Td
(k)Tj
/F8 1 Tf
1.914 0 Td
(0)Tj
/F14 1 Tf
1.452 2.024 TD
<15>Tj
0.99 1.221 TD
(3)Tj
0 -1.793 TD
(5)Tj
/F12 1 Tf
0.825 -0.209 TD
(:)Tj
/F8 1 Tf
-33.12099 -3.41 TD
[(As)110<13>]TJ
1.144 0 Td
<10>Tj
-1.144 -2.585 TD
(det)Tj
/F14 1 Tf
1.551 1.408 TD
<14>Tj
/F12 1 Tf
1.419 -0.781 TD
1.342 Tc
(Ap)Tj
/F13 1 Tf
-0.429 -1.243 TD
0 Tc
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 113.76 396.96 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 127.2 393 Tm
(0)Tj
/F14 1 Tf
0.957 2.024 TD
<15>Tj
/F8 1 Tf
0.803 -1.408 TD
[(=)-275(\(det)]TJ
/F12 1 Tf
3.003 0 Td
(H)Tj
/F8 1 Tf
0.913 0 Td
(\))Tj
/F13 1 Tf
<016B>Tj
/F12 1 Tf
(p)Tj
/F13 1 Tf
(k)Tj
/F4 1 Tf
7.97011 0 0 7.97011 212.64 404.28 Tm
(2)Tj
/F8 1 Tf
10.90909 0 0 10.90909 220.56 399.72 Tm
(=)Tj
/F13 1 Tf
1.056 0 Td
(k)Tj
/F12 1 Tf
(p)Tj
/F13 1 Tf
1.001 0 Td
(k)Tj
/F4 1 Tf
7.97011 0 0 7.97011 248.4 404.28 Tm
(2)Tj
/F8 1 Tf
10.90909 0 0 10.90909 255 399.72 Tm
[(det)-11(\()]TJ
/F12 1 Tf
1.782 0 Td
(A=T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 294.36 398.04 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 299.16 399.72 Tm
(\))Tj
/F12 1 Tf
0.385 0 Td
(;)Tj
/F8 1 Tf
0.781 0 Td
[(luego)-352(det\()]TJ
/F12 1 Tf
4.389 0 Td
(A=T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 379.68 398.04 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 384.6 399.72 Tm
0.275 Tc
(\)=)Tj
2.552 0.682 TD
0 Tc
(1)Tj
ET
q
21.24 0 0 -0.48 404.508 402.708 cm
/Im1 Do
Q
BT
/F13 1 Tf
10.90909 0 0 10.90909 404.52 392.28 Tm
(k)Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F13 1 Tf
0.506 0 Td
(k)Tj
/F4 1 Tf
7.97011 0 0 7.97011 420.84 395.4 Tm
(2)Tj
/F8 1 Tf
10.90909 0 0 10.90909 428.76 399.72 Tm
(det)Tj
/F14 1 Tf
1.551 1.408 TD
<14>Tj
/F12 1 Tf
1.408 -0.781 TD
1.353 Tc
(Ap)Tj
/F13 1 Tf
-0.429 -1.243 TD
0 Tc
<00>Tj
/F12 1 Tf
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 470.4 396.96 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 483.96 393 Tm
(0)Tj
/F14 1 Tf
0.957 2.024 TD
<15>Tj
/F12 1 Tf
0.693 -1.408 TD
(:)Tj
/F17 1 Tf
-39.41299 -3.333 TD
[(Prop)-33(osici\023)572(on)-594(8)]TJ
/F8 1 Tf
8.107 0 Td
(Sea)Tj
/F13 1 Tf
1.991 0 Td
(E)Tj
/F8 1 Tf
1.111 0 Td
[(una)-495(econom)110<13>385<1061>-506(de)-495(in)33(tercam)33(bio)-517(con)-506(una)-484(funci\023)495(on)]TJ
/F12 1 Tf
21.549 0 Td
(f)Tj
/F8 1 Tf
1.1 0 Td
[(de)-495(exceso)-506(de)]TJ
-33.85799 -1.243 TD
[(demanda)-330(agregada)]TJ
/F12 1 Tf
8.503 0 Td
(C)Tj
/F4 1 Tf
7.97011 0 0 7.97011 173.4 353.76 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 178.08 349.8 Tm
[(,)-330(en)33(tonces)]TJ
-8.778 -2.057 TD
((i))Tj
/F12 1 Tf
1.551 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.891 0 Td
(\))Tj
/F13 1 Tf
0.616 0 Td
<01>Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F8 1 Tf
0.781 0 Td
0.275 Tc
(=0)Tj
-5.797 -2.068 TD
0 Tc
[((ii))-506(Si)]TJ
/F12 1 Tf
2.959 0 Td
(p)Tj
/F8 1 Tf
0.792 0 Td
[(es)-297(un)-286(equilibrio)-297(\()]TJ
/F12 1 Tf
(f)Tj
/F8 1 Tf
7.909 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
[(\))-286(=)-275(0\),)-297(en)33(tonces)]TJ
/F12 1 Tf
7.689 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
[(\))-286(map)-33(ea)]TJ
/F12 1 Tf
4.334 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 369.48 308.76 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 375.72 304.8 Tm
(en)Tj
/F12 1 Tf
1.298 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 396.24 303.12 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 404.04 304.8 Tm
(=)Tj
/F13 1 Tf
1.056 0 Td
(f)Tj
/F12 1 Tf
0.495 0 Td
(q)Tj
/F13 1 Tf
0.77 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 450.12 308.76 Tm
0 Tc
(l)Tj
/F12 1 Tf
10.90909 0 0 10.90909 453.12 304.8 Tm
(=p)Tj
/F13 1 Tf
1.144 0 Td
<01>Tj
/F12 1 Tf
0.418 0 Td
(q)Tj
/F8 1 Tf
0.77 0 Td
0.275 Tc
(=0)Tj
/F13 1 Tf
1.551 0 Td
0 Tc
(g)Tj
/F12 1 Tf
(:)Tj
/F8 1 Tf
-36.32199 -1.87 TD
[(En)-330(este)-341(caso)-352(tenemos)-341(det)-165(\()]TJ
/F12 1 Tf
11.594 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
(=T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 264.36 282.72 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 269.16 284.4 Tm
0.275 Tc
(\)=)Tj
2.552 0.671 TD
0 Tc
(1)Tj
ET
q
21.24 0 0 -0.48 289.068 287.388 cm
/Im1 Do
Q
BT
/F13 1 Tf
10.90909 0 0 10.90909 289.08 276.84 Tm
(k)Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F13 1 Tf
0.506 0 Td
(k)Tj
/F4 1 Tf
7.97011 0 0 7.97011 305.4 280.08 Tm
(2)Tj
/F8 1 Tf
10.90909 0 0 10.90909 313.32 284.4 Tm
(det)Tj
/F14 1 Tf
1.551 1.408 TD
<14>Tj
/F12 1 Tf
0.979 -0.792 TD
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
2.2 0 Td
(p)Tj
/F13 1 Tf
-2.959 -1.243 TD
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 359.64 281.52 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 377.88 277.56 Tm
(0)Tj
/F14 1 Tf
0.957 2.035 TD
<15>Tj
/F12 1 Tf
0.693 -1.408 TD
(:)Tj
/F8 1 Tf
-27.192 -2.244 TD
[(En)-363(particular)]TJ
/F12 1 Tf
6.27 0 Td
(p)Tj
/F8 1 Tf
0.869 0 Td
[(es)-374(un)-363(equilibrio)-374(regular)-385(si)-374(y)-363<7313>495(olo)-385(si)]TJ
/F12 1 Tf
15.62 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\):)Tj
/F12 1 Tf
1.716 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 385.56 258.24 Tm
(p)Tj
/F13 1 Tf
10.90909 0 0 10.90909 394.08 259.92 Tm
-0.165 Tc
<0021>Tj
/F12 1 Tf
1.958 0 Td
0 Tc
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 421.8 258.24 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 430.68 259.92 Tm
[(es)-374(in)33(v)33(ertible,)-385(lo)]TJ
-30.38199 -1.881 TD
[(cual)-341(es)-341(equiv)55(alen)33(te)-352(a)-341(que)-330(det)]TJ
/F14 1 Tf
12.727 1.408 TD
<14>Tj
/F12 1 Tf
0.99 -0.781 TD
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.891 0 Td
(\))Tj
/F12 1 Tf
1.298 0 Td
(p)Tj
/F13 1 Tf
-2.948 -1.243 TD
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 267.6 236.64 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 285.72 232.68 Tm
(0)Tj
/F14 1 Tf
0.957 2.024 TD
<15>Tj
/F13 1 Tf
0.803 -1.408 TD
(6)Tj
/F8 1 Tf
0.275 Tc
[(=0)275(.)]TJ
ET
endstream
endobj
11 0 obj
<<
/Length 13884
>>
stream
/GS4 gs
BT
/F11 1 Tf
10.90909 0 0 10.90909 184.56 722.16 Tm
0 g
[(equilibrio)-374(w)88(alrasiano)-352(en)-374(econom)]TJ
16.731 0.088 TD
<13>Tj
0.121 -0.088 TD
[(\020as)-363(de)-374(inter)22(cambio)]TJ
/F8 1 Tf
15.82899 0 Td
(9)Tj
/F17 1 Tf
-39.10499 -3.278 TD
(Prueba)Tj
/F8 1 Tf
0.726 -2.497 TD
[((a))-517(Como)]TJ
/F12 1 Tf
4.719 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
<0B70>Tj
/F8 1 Tf
0.374 Tc
(\)=)Tj
/F12 1 Tf
3.047 0 Td
0 Tc
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
[(\))-385(para)]TJ
/F12 1 Tf
3.993 0 Td
0.374 Tc
<0B3E>Tj
/F8 1 Tf
2.156 0 Td
0 Tc
[(0,)-396(deriv)55(ando)-374(con)-396(resp)-33(ecto)-396(a)]TJ
/F12 1 Tf
12.551 0 Td
<0B>Tj
/F8 1 Tf
1.034 0 Td
[(esta)-396(ecuaci\023)495(on)-407(tenemos)]TJ
-27.313 -1.24299 TD
(que)Tj
/F12 1 Tf
1.859 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
<0B70>Tj
/F8 1 Tf
1.529 0 Td
(\))Tj
/F13 1 Tf
0.616 0 Td
<01>Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F8 1 Tf
0.781 0 Td
[(=)-275(0)-341(y)-330(haciendo)]TJ
/F12 1 Tf
6.919 0 Td
<0B>Tj
/F8 1 Tf
0.924 0 Td
[(=)-264(1)-341(obtenemos)]TJ
/F12 1 Tf
6.831 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.891 0 Td
(\))Tj
/F13 1 Tf
0.605 0 Td
<01>Tj
/F12 1 Tf
0.506 0 Td
(p)Tj
/F8 1 Tf
0.781 0 Td
0.275 Tc
(=0)Tj
-26.94999 -2.17799 TD
0 Tc
[((b))-506(P)33(ara)-407(probar)-385(que)]TJ
/F12 1 Tf
9.504 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
(\)\()Tj
/F12 1 Tf
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 267 625.8 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 270.12 621.84 Tm
(\))Tj
/F13 1 Tf
0.77 0 Td
<12>Tj
/F12 1 Tf
1.166 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 297.6 620.16 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 306.84 621.84 Tm
(considere)Tj
/F12 1 Tf
4.4 0 Td
(v)Tj
/F8 1 Tf
0.913 0 Td
0.385 Tc
(=\()Tj
/F12 1 Tf
1.551 0 Td
0 Tc
(v)Tj
/F4 1 Tf
7.97011 0 0 7.97011 387 620.16 Tm
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 391.8 621.84 Tm
0.165 Tc
[(;:::)-22(;v)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 421.32 620.04 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 424.44 621.84 Tm
(\))Tj
/F13 1 Tf
0.781 0 Td
(2)Tj
/F12 1 Tf
1.056 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 454.92 625.8 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 462.36 621.84 Tm
[(y)-396(sea)]TJ
/F12 1 Tf
2.662 0 Td
(e)Tj
/F4 1 Tf
7.97011 0 0 7.97011 496.44 620.16 Tm
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 501.24 621.84 Tm
0.165 Tc
[(;:::)-22(;e)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 530.52 620.04 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 538.08 621.84 Tm
(la)Tj
-36.32199 -1.243 TD
[(base)-330(can\023)495(onica)-352(de)]TJ
/F12 1 Tf
7.667 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 235.92 612.2401 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 239.04 608.28 Tm
[(,)-330(en)33(tonces)]TJ
-2.398 -3.234 TD
(\()Tj
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
1.573 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.891 0 Td
(\))Tj
/F13 1 Tf
0.616 0 Td
<01>Tj
/F12 1 Tf
0.495 0 Td
(v)Tj
/F8 1 Tf
0.517 0 Td
(\))Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
1.177 0 Td
0.275 Tc
(=\()Tj
/F12 1 Tf
1.441 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\)\()Tj
/F15 1 Tf
7.97011 0 0 7.97011 323.76 586.56 Tm
(l)Tj
/F14 1 Tf
10.90909 0 0 10.90909 317.16 583.32 Tm
(X)Tj
/F15 1 Tf
7.97011 0 0 7.97011 318.24 559.92 Tm
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 334.8 573 Tm
(v)Tj
/F15 1 Tf
7.97011 0 0 7.97011 340.08 571.32 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 343.44 573 Tm
(e)Tj
/F15 1 Tf
7.97011 0 0 7.97011 348.48 571.32 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 351.96 573 Tm
(\)\))Tj
/F13 1 Tf
1.001 0 Td
<01>Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F8 1 Tf
0.781 0 Td
(=)Tj
/F15 1 Tf
7.97011 0 0 7.97011 394.92 586.56 Tm
(l)Tj
/F14 1 Tf
10.90909 0 0 10.90909 388.32 583.32 Tm
(X)Tj
/F15 1 Tf
7.97011 0 0 7.97011 389.4 559.92 Tm
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 405.96 573 Tm
(v)Tj
/F15 1 Tf
7.97011 0 0 7.97011 411.24 571.32 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 414.6 573 Tm
(\(\()Tj
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
1.958 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
0.891 0 Td
(e)Tj
/F15 1 Tf
7.97011 0 0 7.97011 454.92 571.32 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 458.4 573 Tm
(\))Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.506 0 Td
(\))Tj
/F12 1 Tf
0.385 0 Td
(:)Tj
/F8 1 Tf
-30.29399 -3.707 TD
[(P)33(or)-330(otro)-341(lado)-341(sea)]TJ
/F12 1 Tf
7.821 0 Td
(G)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.297 Tc
(\)=)Tj
/F12 1 Tf
3.41 0 Td
0 Tc
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\))Tj
/F13 1 Tf
1.496 0 Td
<01>Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F8 1 Tf
0.781 0 Td
0.275 Tc
(=0)Tj
/F12 1 Tf
1.551 0 Td
0 Tc
(;)Tj
/F8 1 Tf
0.616 0 Td
[(en)33(tonces)]TJ
-7.491 -2.816 TD
0.286 Tc
(0=)Tj
/F12 1 Tf
1.958 0.68201 TD
0.055 Tc
(@G)Tj
ET
q
15.36 0 0 -0.48 264.348 504.828 cm
/Im1 Do
Q
BT
/F12 1 Tf
10.90909 0 0 10.90909 264.36 494.4 Tm
(@p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 276.24 492.72 Tm
0 Tc
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 283.8 501.84 Tm
(=)Tj
/F12 1 Tf
1.276 0.682 TD
0.055 Tc
(@f)Tj
ET
q
15.36 0 0 -0.48 296.508 504.828 cm
/Im1 Do
Q
BT
/F12 1 Tf
10.90909 0 0 10.90909 296.52 494.4 Tm
(@p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 308.4 492.72 Tm
0 Tc
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 312.96 501.84 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.506 0 Td
(\))Tj
/F13 1 Tf
0.616 0 Td
<01>Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F8 1 Tf
0.726 0 Td
(+)Tj
/F12 1 Tf
1.001 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.891 0 Td
(\))Tj
/F12 1 Tf
(e)Tj
/F15 1 Tf
7.97011 0 0 7.97011 379.2 500.16 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 385.68 501.84 Tm
(=)Tj
/F12 1 Tf
1.265 0.682 TD
0.055 Tc
(@f)Tj
ET
q
15.36 0 0 -0.48 398.388 504.828 cm
/Im1 Do
Q
BT
/F12 1 Tf
10.90909 0 0 10.90909 398.4 494.4 Tm
(@p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 410.28 492.72 Tm
0 Tc
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 414.84 501.84 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.506 0 Td
(\))Tj
/F13 1 Tf
0.605 0 Td
<01>Tj
/F12 1 Tf
0.506 0 Td
(p:)Tj
/F8 1 Tf
-27.02699 -3.025 TD
[(Como)-429(\()]TJ
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
4.554 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
(e)Tj
/F15 1 Tf
7.97011 0 0 7.97011 210.48 467.16 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 213.96 468.84 Tm
(\))Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.957 0 Td
(=)Tj
/F15 1 Tf
7.97011 0 0 7.97011 244.44 473.76 Tm
0.06 Tc
(@f)Tj
ET
q
12.36 0 0 -0.48 243.108 471.828 cm
/Im1 Do
Q
BT
/F15 1 Tf
7.97011 0 0 7.97011 243.12 465.12 Tm
(@p)Tj
/F18 1 Tf
5.97758 0 0 5.97758 252.36 463.92 Tm
0 Tc
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 256.68 468.84 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.506 0 Td
(\))Tj
/F13 1 Tf
0.682 0 Td
<01>Tj
/F12 1 Tf
0.572 0 Td
(p)Tj
/F8 1 Tf
0.935 0 Td
[(para)-429(to)-33(do)]TJ
/F12 1 Tf
4.785 0 Td
(i)Tj
/F8 1 Tf
[(,)-440(implica)-451(que)-429(\()]TJ
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
8.195 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
1.276 0 Td
(v)Tj
/F8 1 Tf
0.517 0 Td
(\))Tj
/F13 1 Tf
0.682 0 Td
<01>Tj
/F12 1 Tf
0.572 0 Td
(p)Tj
/F8 1 Tf
0.946 0 Td
[(=)-451(0)-440(para)-429(to)-33(do)]TJ
/F12 1 Tf
-30.57999 -1.441 TD
(v)Tj
/F13 1 Tf
0.792 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 171.24 457.08 Tm
0 Tc
(l)Tj
/F12 1 Tf
10.90909 0 0 10.90909 174.36 453.12 Tm
(;)Tj
/F8 1 Tf
0.605 0 Td
[(es)-341(decir)]TJ
/F12 1 Tf
3.619 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.891 0 Td
(\)\()Tj
/F12 1 Tf
0.77 0 Td
(v)Tj
/F8 1 Tf
0.517 0 Td
(\))Tj
/F13 1 Tf
0.682 0 Td
(2)Tj
/F12 1 Tf
0.935 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 281.16 451.44 Tm
(p)Tj
/F12 1 Tf
10.90909 0 0 10.90909 285.96 453.12 Tm
(:)Tj
/F8 1 Tf
0.616 0 Td
[(Aplicando)-341(el)-330(Lema)-341(7)-341(a)]TJ
/F12 1 Tf
10.208 0 Td
(A)Tj
/F8 1 Tf
1.023 0 Td
(=)Tj
/F12 1 Tf
1.056 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
[(\))-330(obtenemos)]TJ
-18.051 -2.97 TD
[(det)-165(\()]TJ
/F12 1 Tf
1.947 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
(=T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 306.84 419.04 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 311.64 420.72 Tm
0.275 Tc
(\)=)Tj
2.552 0.671 TD
0 Tc
(1)Tj
ET
q
21.24 0 0 -0.48 331.548 423.708 cm
/Im1 Do
Q
BT
/F13 1 Tf
10.90909 0 0 10.90909 331.56 413.16 Tm
(k)Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F13 1 Tf
(k)Tj
/F4 1 Tf
7.97011 0 0 7.97011 347.88 416.4 Tm
(2)Tj
/F8 1 Tf
10.90909 0 0 10.90909 355.8 420.72 Tm
(det)Tj
/F14 1 Tf
1.551 1.408 TD
<14>Tj
/F12 1 Tf
0.979 -0.792 TD
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
2.2 0 Td
(p)Tj
/F13 1 Tf
-2.959 -1.243 TD
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 402.12 417.84 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 420.36 413.88 Tm
(0)Tj
/F14 1 Tf
0.957 2.035 TD
<15>Tj
/F12 1 Tf
0.693 -1.408 TD
(:)Tj
/F8 1 Tf
-27.181 -3.344 TD
[(El)-330(resto)-341(de)-330(la)-341(prop)-33(osici\023)495(on)-330(sigue)-341(inmediatamen)33(te)-352(de)-330(lo)-341(an)33(terior.)]TJ
/F17 1 Tf
-2.508 -3.102 TD
[(De\fnici\023)572(on)-396(7)]TJ
/F8 1 Tf
6.732 0 Td
(Sea)Tj
/F12 1 Tf
1.826 0 Td
(p)Tj
/F8 1 Tf
0.836 0 Td
[(un)-330(equilibrio)-341(de)-330(precios)-341(regular,)-330(de\fnimos)]TJ
1.463 -2.871 TD
[<13>385(\020ndice)-11(\()]TJ
/F12 1 Tf
3.058 0 Td
(p)Tj
/F8 1 Tf
[(\))-275(=)-275(signo)]TJ
/F14 1 Tf
4.62 1.408 TD
<12>Tj
/F8 1 Tf
0.737 -1.408 TD
(det)Tj
/F14 1 Tf
1.551 1.408 TD
<14>Tj
/F13 1 Tf
0.99 -0.781 TD
<00>Tj
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
1.969 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.891 0 Td
(\))Tj
/F12 1 Tf
1.298 0 Td
(p)Tj
/F13 1 Tf
-3.344 -1.243 TD
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 375.36 316.32 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 397.8 312.36 Tm
(0)Tj
/F14 1 Tf
0.957 2.024 TD
<1513>Tj
/F12 1 Tf
1.43 -1.408 TD
(:)Tj
/F8 1 Tf
-28.358 -2.871 TD
[(Observ)33(e)-341(que)]TJ
3.784 -2.871 TD
[<13>385(\020ndice\()]TJ
/F12 1 Tf
3.047 0 Td
(p)Tj
/F8 1 Tf
0.286 Tc
[(\)=)11(\()]TJ
/F13 1 Tf
2.618 0 Td
0 Tc
<00>Tj
/F8 1 Tf
0.781 0 Td
(1\))Tj
/F15 1 Tf
7.97011 0 0 7.97011 235.68 260.88 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 249.72 256.44 Tm
(signo)Tj
/F14 1 Tf
2.398 1.408 TD
<12>Tj
/F8 1 Tf
0.737 -1.408 TD
(det)Tj
/F14 1 Tf
1.551 1.408 TD
<14>Tj
/F12 1 Tf
0.979 -0.792 TD
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
1.804 0 Td
(p)Tj
/F13 1 Tf
-2.948 -1.243 TD
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 330.24 253.56 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 348.48 249.6 Tm
(0)Tj
/F14 1 Tf
0.957 2.035 TD
<1513>Tj
/F8 1 Tf
1.54 -1.408 TD
[(=)-275(signo\(det)-11(\()]TJ
/F12 1 Tf
5.445 0 Td
(@)Tj
/F8 1 Tf
0.583 0 Td
(\()Tj
/F13 1 Tf
<00>Tj
/F12 1 Tf
1.166 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\)\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
(=T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 490.68 254.76 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 495.6 256.44 Tm
(\)\))Tj
-34.93599 -2.871 TD
[(dado)-341(que)]TJ
4.642 -2.882 TD
(signo)Tj
/F14 1 Tf
2.398 1.419 TD
<12>Tj
/F8 1 Tf
0.737 -1.419 TD
(det)Tj
/F14 1 Tf
1.551 1.419 TD
<14>Tj
/F13 1 Tf
0.99 -0.792 TD
<00>Tj
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
1.969 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
1.793 0 Td
(p)Tj
/F13 1 Tf
-3.333 -1.243 TD
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 249.96 190.92 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 272.28 186.96 Tm
(0)Tj
/F14 1 Tf
0.968 2.035 TD
<1513>Tj
/F8 1 Tf
2.167 -1.419 TD
[(=)-913(signo)]TJ
/F14 1 Tf
4.092 1.419 TD
<12>Tj
/F8 1 Tf
0.737 -1.419 TD
(\()Tj
/F13 1 Tf
0.385 0 Td
<00>Tj
/F8 1 Tf
0.781 0 Td
(1\))Tj
/F15 1 Tf
7.97011 0 0 7.97011 381.48 197.64 Tm
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 386.52 193.68 Tm
(det)Tj
/F14 1 Tf
1.551 1.419 TD
<14>Tj
/F12 1 Tf
0.99 -0.792 TD
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
(\))Tj
/F13 1 Tf
1.804 0 Td
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F13 1 Tf
-3.729 -1.243 TD
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 432.96 190.92 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 455.28 186.96 Tm
(0)Tj
/F14 1 Tf
1.353 2.035 TD
<1513>Tj
/F8 1 Tf
-14.993 -5.137 TD
0.913 Tc
(=\()Tj
/F13 1 Tf
2.079 0 Td
0 Tc
<00>Tj
/F8 1 Tf
0.781 0 Td
(1\))Tj
/F15 1 Tf
7.97011 0 0 7.97011 347.28 157.08 Tm
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 350.52 153.12 Tm
(\()Tj
/F13 1 Tf
0.385 0 Td
<00>Tj
/F8 1 Tf
0.781 0 Td
(1\)signo)Tj
/F14 1 Tf
3.289 1.408 TD
<12>Tj
/F8 1 Tf
0.737 -1.408 TD
(det)Tj
/F14 1 Tf
1.551 1.408 TD
<14>Tj
/F12 1 Tf
0.979 -0.792 TD
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
1.815 0 Td
(p)Tj
/F13 1 Tf
-2.959 -1.243 TD
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 453.48 150.24 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 471.72 146.28 Tm
(0)Tj
/F14 1 Tf
0.957 2.035 TD
<1513>Tj
/F8 1 Tf
-16.104 -4.521 TD
0.913 Tc
(=\()Tj
/F13 1 Tf
2.079 0 Td
0 Tc
<00>Tj
/F8 1 Tf
0.781 0 Td
(1\))Tj
/F15 1 Tf
7.97011 0 0 7.97011 347.28 123.12 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 361.32 119.16 Tm
[(signo)-176(\(det)-176([)]TJ
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
5.808 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
0.891 0 Td
(=T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 450.36 117.48 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 455.16 119.16 Tm
(]\))Tj
-13.629 -2.475 TD
[(=)-913(signo)-176(\(det)-176(\()]TJ
/F12 1 Tf
6.424 0 Td
(@)Tj
/F8 1 Tf
0.583 0 Td
(\()Tj
/F13 1 Tf
<00>Tj
/F12 1 Tf
(f)Tj
/F8 1 Tf
1.771 0 Td
(\)\()Tj
/F12 1 Tf
0.77 0 Td
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
(=T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 432.12 90.48 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 437.04 92.16 Tm
(\)\))Tj
/F12 1 Tf
0.946 0 Td
(:)Tj
ET
endstream
endobj
12 0 obj
<<
/Length 13214
>>
stream
/GS4 gs
BT
/F8 1 Tf
10.90909 0 0 10.90909 72 722.16 Tm
0 g
(10)Tj
/F11 1 Tf
15.444 0 Td
[(o.)-374(a)22(cu)]TJ
3.168 0.088 TD
(~)Tj
-0.033 -0.088 TD
[(na)-363({)-385(f.)-374(ula)66(te)]TJ
/F17 1 Tf
-18.579 -3.278 TD
[(Prop)-33(osici\023)572(on)-374(9)]TJ
/F8 1 Tf
7.458 0 Td
(Sea)Tj
/F12 1 Tf
1.804 0 Td
(p)Tj
/F8 1 Tf
0.803 0 Td
[(un)-286(v)33(ector)-319(de)-297(equilibrio,)-308(para)-297(cada)]TJ
/F12 1 Tf
14.883 0 Td
(q)Tj
/F13 1 Tf
0.77 0 Td
(2)Tj
/F12 1 Tf
0.935 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 373.2 690.36 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(+)Tj
/F13 1 Tf
10.90909 0 0 10.90909 381.84 686.4 Tm
0.154 Tc
(nf)Tj
/F8 1 Tf
1.144 0 Td
0 Tc
(0)Tj
/F13 1 Tf
0.495 0 Td
(g)Tj
/F8 1 Tf
0.814 0 Td
[(tenemos)-308(que)]TJ
/F12 1 Tf
5.698 0 Td
(p)Tj
/F8 1 Tf
0.792 0 Td
[(es)-308(un)]TJ
-37.34499 -1.914 TD
[(equilibrio)-253(regular)-264(si)-253<7313>495(olo)-264(si)-253(det)]TJ
/F14 1 Tf
12.98 1.40801 TD
<14>Tj
/F12 1 Tf
0.99 -0.781 TD
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
1.804 0 Td
(q)Tj
-2.552 -1.243 TD
(q)Tj
/F15 1 Tf
7.97011 0 0 7.97011 238.68 662.76 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 261.24 658.8 Tm
(0)Tj
/F14 1 Tf
0.957 2.024 TD
<15>Tj
/F13 1 Tf
0.803 -1.408 TD
(6)Tj
/F8 1 Tf
[(=)-275(0.)-253(En)-253(particular)-253(el)-264(signo)-253(de)-253(este)-264(determinan)33(te)]TJ
-19.107 -1.77099 TD
[(no)-330(dep)-33(ende)-319(de)]TJ
/F12 1 Tf
6.644 0 Td
(q)Tj
/F8 1 Tf
0.484 0 Td
(.)Tj
/F17 1 Tf
-7.128 -1.81499 TD
(Prueba)Tj
/F8 1 Tf
4.543 0 Td
(Sea)Tj
/F12 1 Tf
1.925 0 Td
(p)Tj
/F8 1 Tf
0.935 0 Td
[(un)-407(equilibrio)-440(regular)-429(y)-429(sup)-33(onga)-418(que)-418(la)-440(matriz)]TJ
/F14 1 Tf
20.922 1.419 TD
<14>Tj
/F12 1 Tf
0.99 -0.792 TD
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.891 0 Td
(\))Tj
/F12 1 Tf
1.309 0 Td
(q)Tj
-2.563 -1.24299 TD
(q)Tj
/F15 1 Tf
7.97011 0 0 7.97011 406.08 623.64 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 428.64 619.6801 Tm
(0)Tj
/F14 1 Tf
0.957 2.035 TD
<15>Tj
/F8 1 Tf
0.957 -1.419 TD
[(es)-429(singular,)]TJ
-34.606 -2.827 TD
[(luego)-341(existe)-352(un)-319(v)33(ector)]TJ
/F14 1 Tf
9.867 1.705 TD
(")Tj
/F12 1 Tf
1.034 -0.946 TD
(v)Tj
0 -1.518 TD
(r)Tj
/F14 1 Tf
0.979 2.464 TD
(#)Tj
/F13 1 Tf
0.858 -1.705 TD
(6)Tj
/F8 1 Tf
[(=)-275(0,)-341(con)]TJ
/F12 1 Tf
4.004 0 Td
(r)Tj
/F13 1 Tf
0.759 0 Td
(2)Tj
/F12 1 Tf
0.935 0 Td
-0.253 Tc
(IR)Tj
/F8 1 Tf
1.287 0 Td
0 Tc
(y)Tj
/F12 1 Tf
0.858 0 Td
(v)Tj
/F13 1 Tf
0.803 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 326.04 599.52 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 332.64 595.56 Tm
[(tal)-352(que)]TJ
/F12 1 Tf
3.366 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.891 0 Td
(\))Tj
/F12 1 Tf
(v)Tj
/F8 1 Tf
1.122 0 Td
(+)Tj
/F12 1 Tf
1.001 0 Td
0.033 Tc
(rq)Tj
/F8 1 Tf
1.232 0 Td
0.275 Tc
[(=0)-66(y)]TJ
/F12 1 Tf
2.75 0 Td
0 Tc
(q)Tj
/F15 1 Tf
7.97011 0 0 7.97011 463.92 599.52 Tm
(t)Tj
/F13 1 Tf
10.90909 0 0 10.90909 469.92 595.56 Tm
<01>Tj
/F12 1 Tf
0.495 0 Td
(v)Tj
/F8 1 Tf
0.792 0 Td
0.275 Tc
[(=0)275(,)]TJ
-37.76299 -2.09 TD
0 Tc
[(m)33(ultiplicando)-308(a)-308(la)-297(derec)33(ha)-308(p)-33(or)]TJ
/F12 1 Tf
13.519 0 Td
(p)Tj
/F8 1 Tf
0.803 0 Td
[(la)-308(primera)-297(ecuaci\023)495(on)-308(se)-308(obtiene)]TJ
/F12 1 Tf
13.398 0 Td
(p)Tj
/F13 1 Tf
0.66 0 Td
<01>Tj
/F12 1 Tf
0.429 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
(v)Tj
/F8 1 Tf
1.936 0 Td
(+)Tj
/F12 1 Tf
0.935 0 Td
0.033 Tc
(rp)Tj
/F13 1 Tf
1.144 0 Td
0 Tc
<01>Tj
/F12 1 Tf
0.429 0 Td
(q)Tj
/F8 1 Tf
0.748 0 Td
[(=)-275(0,)-308(como)]TJ
/F12 1 Tf
-35.189 -1.24299 TD
(p)Tj
/F13 1 Tf
0.726 0 Td
<01>Tj
/F12 1 Tf
0.495 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.286 Tc
[(\)=)11(0)-44(y)]TJ
/F12 1 Tf
4.312 0 Td
0 Tc
(p)Tj
/F13 1 Tf
0.726 0 Td
<01>Tj
/F12 1 Tf
0.495 0 Td
0.308 Tc
(q>)Tj
/F8 1 Tf
1.815 0 Td
0 Tc
[(0)-341(se)-330(deb)-33(e)-330(tener)]TJ
/F12 1 Tf
6.93 0 Td
(r)Tj
/F8 1 Tf
0.748 0 Td
[(=)-275(0)-341(y)-330(p)-33(or)-330(tan)33(to)]TJ
/F12 1 Tf
7.205 0 Td
(v)Tj
/F13 1 Tf
0.792 0 Td
(6)Tj
/F8 1 Tf
0.275 Tc
[(=0)-66(y)]TJ
/F12 1 Tf
2.75 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.891 0 Td
(\))Tj
/F13 1 Tf
0.616 0 Td
<01>Tj
/F12 1 Tf
0.495 0 Td
(v)Tj
/F8 1 Tf
0.803 0 Td
0.275 Tc
[(=0)275(.)]TJ
-30.62399 -1.27599 TD
0 Tc
[(Los)-297(v)33(ectores)]TJ
/F12 1 Tf
5.61 0 Td
(v)Tj
/F8 1 Tf
0.803 0 Td
(y)Tj
/F12 1 Tf
0.825 0 Td
(p)Tj
/F8 1 Tf
0.792 0 Td
[(son)-286(linealmen)33(te)-308(indep)-33(endien)33(tes,)-286(y)33(a)-297(que)-286(si)]TJ
/F12 1 Tf
18.084 0 Td
(v)Tj
/F8 1 Tf
0.792 0 Td
(=)Tj
/F12 1 Tf
1.056 0 Td
<0B70>Tj
/F8 1 Tf
1.441 0 Td
(y)Tj
/F12 1 Tf
0.814 0 Td
(q)Tj
/F15 1 Tf
7.97011 0 0 7.97011 423.84 549.2401 Tm
(t)Tj
/F13 1 Tf
10.90909 0 0 10.90909 428.76 545.28 Tm
<01>Tj
/F12 1 Tf
0.407 0 Td
(v)Tj
/F8 1 Tf
0.803 0 Td
[(=)-275(0,)-297(tenemos)]TJ
/F12 1 Tf
-33.91299 -1.243 TD
<0B71>Tj
/F15 1 Tf
7.97011 0 0 7.97011 84.24 535.68 Tm
(t)Tj
/F12 1 Tf
10.90909 0 0 10.90909 87.84 531.72 Tm
(p)Tj
/F8 1 Tf
0.781 0 Td
[(=)-275(0)-341(y)-330(siendo)]TJ
/F12 1 Tf
5.808 0 Td
(q)Tj
/F15 1 Tf
7.97011 0 0 7.97011 165 535.68 Tm
(t)Tj
/F13 1 Tf
10.90909 0 0 10.90909 171 531.72 Tm
<01>Tj
/F12 1 Tf
0.495 0 Td
0.275 Tc
(p>)Tj
/F8 1 Tf
1.837 0 Td
0 Tc
[(0,)-341(implica)-352(que)]TJ
/F12 1 Tf
6.479 0 Td
<0B>Tj
/F8 1 Tf
0.913 0 Td
0.275 Tc
[(=0)-66(y)]TJ
/F12 1 Tf
2.75 0 Td
0 Tc
(v)Tj
/F8 1 Tf
0.803 0 Td
[(=)-275(0,)-341(lo)-341(cual)-341(es)-341(una)-319(con)33(tradicci\023)495(on.)]TJ
-20.80099 -1.265 TD
[(El)-363(n)-33<13>]TJ
1.881 0 Td
[(ucleo)-374(de)]TJ
/F12 1 Tf
3.949 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
[(\))-374(con)33(tiene)-385(a)]TJ
/F12 1 Tf
6.457 0 Td
(v)Tj
/F8 1 Tf
0.891 0 Td
(y)Tj
/F12 1 Tf
0.891 0 Td
(p)Tj
/F8 1 Tf
0.869 0 Td
[(y)-363(deb)-33(e)-363(tener)-363(al)-374(menos)-374(dimensi\023)495(on)-352(2)-374(y)-363(p)-33(or)-352(lo)-374(tan)33(to)]TJ
-17.677 -1.243 TD
(dim\(rango)Tj
/F12 1 Tf
4.664 0 Td
(@)Tj
/F8 1 Tf
0.583 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\)\))Tj
/F12 1 Tf
1.958 0 Td
0.275 Tc
(Tj
/F8 1 Tf
1.001 0 Td
0.341 Tc
(1y)Tj
/F12 1 Tf
1.694 0 Td
0 Tc
(p)Tj
/F8 1 Tf
0.836 0 Td
[(no)-330(es)-341(regular,)-341(con)33(tradicci\023)495(on.)]TJ
-10.78 -1.276 TD
[(P)33(ara)-341(la)-341(otra)-341(implicaci\023)495(on)-352(tome)]TJ
/F12 1 Tf
13.387 0 Td
(q)Tj
/F8 1 Tf
0.759 0 Td
(=)Tj
/F12 1 Tf
1.056 0 Td
(p)Tj
/F8 1 Tf
0.836 0 Td
[(y)-330(en)33(tonces)]TJ
-7.887 -2.871 TD
(det)Tj
/F14 1 Tf
1.551 1.408 TD
<14>Tj
/F12 1 Tf
0.99 -0.781 TD
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
2.189 0 Td
(p)Tj
/F13 1 Tf
-2.948 -1.243 TD
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 224.28 456.36 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 242.4 452.4 Tm
(0)Tj
/F14 1 Tf
0.957 2.024 TD
<15>Tj
/F8 1 Tf
0.803 -1.408 TD
0.275 Tc
(=\()Tj
/F13 1 Tf
1.441 0 Td
0 Tc
<00>Tj
/F8 1 Tf
[(1\))-165(det)]TJ
/F14 1 Tf
3.399 1.408 TD
<14>Tj
/F12 1 Tf
0.979 -0.781 TD
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
1.804 0 Td
(p)Tj
-2.552 -1.243 TD
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 339.6 456.36 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 361.92 452.4 Tm
(0)Tj
/F14 1 Tf
0.968 2.024 TD
<15>Tj
/F13 1 Tf
0.803 -1.408 TD
(6)Tj
/F8 1 Tf
0.275 Tc
(=0)Tj
-28.34699 -2.871 TD
0 Tc
(luego)Tj
/F12 1 Tf
2.651 0 Td
(p)Tj
/F8 1 Tf
0.88 0 Td
[(es)-385(regular.)-374(La)-407<13>528(ultima)-385(parte)-385(de)-374(la)-385(prop)-33(osici\023)495(on)-374(sigue)-374(de)-374(la)-385(con)33(tin)33(uidad)-385(del)-374(determi-)]TJ
-3.531 -1.243 TD
[(nan)33(te.)]TJ
/F17 1 Tf
0 -1.87 TD
[(Corolario)-429(10)]TJ
/F8 1 Tf
7.084 0 Td
(Sea)Tj
/F12 1 Tf
1.87 0 Td
(p)Tj
/F8 1 Tf
0.88 0 Td
[(un)-363(equilibrio)-374(regular,)-385(en)33(tonces)-385(el)-275<13>385(\020ndice)-374(de)]TJ
/F12 1 Tf
19.129 0 Td
(p)Tj
/F8 1 Tf
0.88 0 Td
[(est\023)495(a)-385(dado)-374(p)-33(or)-363(el)-374(signo)]TJ
-29.84299 -1.243 TD
[(del)-374(determinan)33(te)-385(de)-363(la)-385(matriz)-374(obtenida)-385(de)-363(eliminar)-385(la)]TJ
/F12 1 Tf
24.101 0 Td
(i)Tj
/F8 1 Tf
-0.033 Tc
<2D13>Tj
0.66 0 Td
0 Tc
[(esima)-396(\fla)-374(y)-374(columna)-374(de)-374(la)-374(matriz)]TJ
/F13 1 Tf
-24.761 -1.243 TD
<00>Tj
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
1.969 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
[(\),)-330(con)-341(1)]TJ
/F13 1 Tf
4.114 0 Td
<14>Tj
/F12 1 Tf
1.056 0 Td
(i)Tj
/F13 1 Tf
0.616 0 Td
<14>Tj
/F12 1 Tf
1.056 0 Td
(l)Tj
/F8 1 Tf
0.319 0 Td
(.)Tj
/F17 1 Tf
-9.515 -1.276 TD
(Prueba)Tj
/F8 1 Tf
15.147 -2.673 TD
[<13>385(\020ndice)-11(\()]TJ
/F12 1 Tf
3.058 0 Td
(p)Tj
/F8 1 Tf
[(\))-913(=)-913(signo)]TJ
/F14 1 Tf
5.896 1.408 TD
<12>Tj
/F8 1 Tf
0.737 -1.408 TD
(det)Tj
/F14 1 Tf
1.551 1.408 TD
<14>Tj
/F13 1 Tf
0.99 -0.781 TD
<00>Tj
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
1.969 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.891 0 Td
(\))Tj
/F12 1 Tf
1.287 0 Td
(p)Tj
/F13 1 Tf
-3.333 -1.243 TD
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 393.6 320.88 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 416.04 316.92 Tm
(0)Tj
/F14 1 Tf
0.957 2.024 TD
<1513>Tj
/F8 1 Tf
-12.485 -5.137 TD
[(=)-913(signo)]TJ
/F14 1 Tf
4.092 1.408 TD
<12>Tj
/F8 1 Tf
0.737 -1.408 TD
(\()Tj
/F13 1 Tf
0.385 0 Td
<00>Tj
/F8 1 Tf
0.781 0 Td
(1\))Tj
/F15 1 Tf
7.97011 0 0 7.97011 365.28 286.92 Tm
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 370.32 282.96 Tm
(det)Tj
/F14 1 Tf
1.551 1.408 TD
<14>Tj
/F12 1 Tf
0.99 -0.781 TD
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
2.189 0 Td
(p)Tj
-2.563 -1.243 TD
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 412.44 280.2 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 434.88 276.24 Tm
(0)Tj
/F14 1 Tf
0.957 2.024 TD
<1513>Tj
/F8 1 Tf
-31.36099 -5.137 TD
(\()Tj
/F12 1 Tf
0.385 0 Td
(e)Tj
/F15 1 Tf
7.97011 0 0 7.97011 112.44 240.6 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 119.52 242.28 Tm
[(v)33(ector)-352(de)-330(la)-341(base)-341(can\023)495(onica)-341(de)]TJ
/F12 1 Tf
13.112 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 273 246.24 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 276.12 242.28 Tm
[(\))-913(=)-913(signo)]TJ
/F14 1 Tf
5.39 1.419 TD
<12>Tj
/F8 1 Tf
0.737 -1.419 TD
(\()Tj
/F13 1 Tf
0.385 0 Td
<00>Tj
/F8 1 Tf
0.781 0 Td
(1\))Tj
/F15 1 Tf
7.97011 0 0 7.97011 365.28 246.24 Tm
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 370.32 242.28 Tm
(det)Tj
/F14 1 Tf
1.551 1.419 TD
<14>Tj
/F12 1 Tf
0.99 -0.792 TD
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
2.189 0 Td
(e)Tj
/F15 1 Tf
7.97011 0 0 7.97011 439.92 247.44 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 407.16 235.56 Tm
(e)Tj
/F15 1 Tf
7.97011 0 0 7.97011 412.2 239.52 Tm
(t)Tj
0 -0.87326 TD
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 436.32 235.56 Tm
(0)Tj
/F14 1 Tf
1.1 2.035 TD
<1513>Tj
/F8 1 Tf
-14.487 -5.137 TD
[(=)-913(signo)]TJ
/F14 1 Tf
4.092 1.408 TD
<12>Tj
/F8 1 Tf
0.737 -1.408 TD
(det)Tj
/F14 1 Tf
1.551 1.408 TD
<14>Tj
/F13 1 Tf
0.99 -0.792 TD
<00>Tj
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
1.969 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.891 0 Td
(\))Tj
/F12 1 Tf
1.287 0 Td
(e)Tj
/F15 1 Tf
7.97011 0 0 7.97011 420.96 206.76 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 379.56 194.88 Tm
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 393.6 198.84 Tm
(t)Tj
0 -0.87326 TD
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 417.48 194.88 Tm
(0)Tj
/F14 1 Tf
1.089 2.035 TD
<1513>Tj
/F8 1 Tf
-12.749 -5.137 TD
[(=)-913(signo)]TJ
/F14 1 Tf
4.092 1.408 TD
<12>Tj
/F8 1 Tf
0.737 -1.408 TD
(\()Tj
/F13 1 Tf
0.385 0 Td
<00>Tj
/F8 1 Tf
[(1\))-165(det)]TJ
/F14 1 Tf
3.388 1.408 TD
<14>Tj
/F13 1 Tf
0.99 -0.781 TD
<00>Tj
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
1.969 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
1.793 0 Td
(e)Tj
/F15 1 Tf
7.97011 0 0 7.97011 445.2 166.2 Tm
(i)Tj
/F12 1 Tf
10.90909 0 0 10.90909 408.36 154.32 Tm
(e)Tj
/F15 1 Tf
7.97011 0 0 7.97011 413.4 152.64 Tm
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 441.72 154.32 Tm
(0)Tj
/F14 1 Tf
1.089 2.024 TD
<1513>Tj
/F8 1 Tf
-14.971 -4.51 TD
[(=)-913(signo)-176(\(\()]TJ
/F13 1 Tf
4.862 0 Td
<00>Tj
/F8 1 Tf
0.781 0 Td
(1\)\()Tj
/F13 1 Tf
1.265 0 Td
<00>Tj
/F8 1 Tf
[(1\))-165(det)-187([)]TJ
/F13 1 Tf
3.685 0 Td
<00>Tj
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
1.969 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\)\()Tj
/F12 1 Tf
(i=i)Tj
/F8 1 Tf
[(\)])-22(\))]TJ
-29.711 -1.606 TD
(\()Tj
/F13 1 Tf
0.385 0 Td
<00>Tj
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
1.969 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.891 0 Td
(\)\()Tj
/F12 1 Tf
0.77 0 Td
(i=i)Tj
/F8 1 Tf
[(\))-352(es)-330(la)-341(matriz)-352(obtenida)-330(de)]TJ
/F13 1 Tf
12.815 0 Td
<00>Tj
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
1.969 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
[(\))-330(eliminando)-330(la)-341(\fla)-341(y)-330(columna)]TJ
/F12 1 Tf
14.355 0 Td
(i)Tj
/F8 1 Tf
(\))Tj
-16.005 -1.606 TD
[(=)-913(signo)-176(\([)]TJ
/F13 1 Tf
4.752 0 Td
<00>Tj
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
1.969 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
(\)\()Tj
/F12 1 Tf
1.276 0 Td
(i=i)Tj
/F8 1 Tf
[(\)])-22(\))]TJ
/F12 1 Tf
2.42 0 Td
(:)Tj
ET
endstream
endobj
13 0 obj
<<
/Length 22108
>>
stream
/GS4 gs
BT
/F11 1 Tf
10.90909 0 0 10.90909 181.8 722.16 Tm
0 g
[(equilibrio)-374(w)88(alrasiano)-363(en)-363(econom)]TJ
16.731 0.088 TD
<13>Tj
0.121 -0.088 TD
[(\020as)-363(de)-374(inter)22(cambio)]TJ
/F8 1 Tf
15.576 0 Td
(11)Tj
-37.04799 -3.278 TD
[(P)33(ara)-385(la)-385(funci\023)495(on)-374(de)-374(exceso)-385(de)-374(demanda)-374(agregada)-396(sab)-33(emos)-374(que)]TJ
/F12 1 Tf
27.54399 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.341 Tc
(\)=)Tj
/F12 1 Tf
2.739 0 Td
0 Tc
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p=)Tj
/F13 1 Tf
(k)Tj
/F12 1 Tf
(p)Tj
/F13 1 Tf
(k)Tj
/F8 1 Tf
[(\),)-385(p)-33(or)-374(lo)]TJ
-33.04399 -1.243 TD
[(tan)33(to)-308(el)-286(problema)-286(de)-286(buscar)-275(soluciones)-297(a)-286(la)-286(ecuaci\023)495(on)]TJ
/F12 1 Tf
22.83599 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
[(\))-275(=)-275(0,)-286(se)-286(reduce)-286(a)-286(buscar)-275(soluciones)]TJ
-23.441 -1.243 TD
[(de)-484(esta)-484(ecuaci\023)495(on)-495(en)]TJ
/F12 1 Tf
9.361 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 223.92 663.84 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 243.48 659.28 Tm
(=)Tj
/F13 1 Tf
1.287 0 Td
(f)Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F13 1 Tf
1.034 0 Td
(2)Tj
/F12 1 Tf
1.177 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 297.48 663.2401 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F12 1 Tf
10.90909 0 0 10.90909 311.04 659.28 Tm
(=)Tj
/F13 1 Tf
0.495 0 Td
(k)Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F13 1 Tf
0.506 0 Td
(k)Tj
/F8 1 Tf
1.023 0 Td
0.506 Tc
(=1)Tj
/F13 1 Tf
1.782 0 Td
0 Tc
(g)Tj
/F8 1 Tf
[(.)-495(P)33(or)-484(esta)-484(raz\023)495(on)-484(de)-473(aqu)110<13>385<10>-473(en)-484(adelan)33(te)]TJ
-22.319 -1.353 TD
[(sup)-33(ondremos)-264(que)-275(el)-286(dominio)-275(de)]TJ
/F12 1 Tf
13.849 0 Td
(f)Tj
/F8 1 Tf
0.88 0 Td
(es)Tj
/F12 1 Tf
1.111 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 294.6 649.08 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 308.52 644.52 Tm
[(.)-286(Matem\023)495(aticamen)33(te)-319(la)-286(funci\023)495(on)]TJ
/F12 1 Tf
13.2 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(:)Tj
/F12 1 Tf
0.44 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 471.24 649.08 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F13 1 Tf
10.90909 0 0 10.90909 488.16 644.52 Tm
-0.176 Tc
<0021>Tj
/F12 1 Tf
1.892 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 519.24 648.48 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 525.2401 644.52 Tm
(para)Tj
-37.65299 -1.353 TD
[(precios)-407(normalizado)-407(puede)-396(v)33(erse)-407(como)-407(un)-385(camp)-33(o)-396(v)33(ectorial)-429(tangen)33(te)-418(a)]TJ
/F12 1 Tf
31.28399 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 463.08 634.32 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 477 629.76 Tm
[(,)-407(es)-396(decir)-396(para)]TJ
-33.231 -1.35299 TD
(cada)Tj
/F12 1 Tf
2.31 0 Td
(p)Tj
/F13 1 Tf
0.781 0 Td
(2)Tj
/F12 1 Tf
0.935 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 165.72 619.56 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 183 615 Tm
(tenemos)Tj
/F12 1 Tf
3.861 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
(\))Tj
/F13 1 Tf
1.166 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 265.32 613.32 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 270.12 615 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 281.64 619.56 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 295.56 615 Tm
0.286 Tc
(\)=)Tj
/F13 1 Tf
1.727 0 Td
0 Tc
(f)Tj
/F12 1 Tf
0.495 0 Td
(q)Tj
/F13 1 Tf
0.759 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 348.84 618.96 Tm
0 Tc
(l)Tj
/F12 1 Tf
10.90909 0 0 10.90909 351.96 615 Tm
(=p)Tj
/F13 1 Tf
1.155 0 Td
<01>Tj
/F12 1 Tf
0.429 0 Td
(q)Tj
/F8 1 Tf
0.77 0 Td
0.275 Tc
(=0)Tj
/F13 1 Tf
1.551 0 Td
0 Tc
(g)Tj
/F12 1 Tf
0.495 0 Td
(;)Tj
/F8 1 Tf
0.583 0 Td
[(esto)-319(debido)-297(al)-308(hec)33(ho)-308(que)-297(para)]TJ
-26.75199 -1.243 TD
[(to)-33(do)]TJ
/F12 1 Tf
2.31 0 Td
(p)Tj
/F8 1 Tf
0.506 0 Td
(,)Tj
/F12 1 Tf
0.88 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\))Tj
/F13 1 Tf
1.496 0 Td
<01>Tj
/F12 1 Tf
0.506 0 Td
(p)Tj
/F8 1 Tf
0.781 0 Td
0.275 Tc
[(=0)275(.)]TJ
/F17 1 Tf
-7.084 -1.87 TD
0 Tc
[(De\fnici\023)572(on)-517(8)]TJ
/F8 1 Tf
7.073 0 Td
[(Se)-440(denota)-440(p)-33(or)]TJ
/F12 1 Tf
6.732 0 Td
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 280.32 585.6 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 299.04 581.04 Tm
[(al)-440(conjun)33(to)]TJ
/F13 1 Tf
5.423 0 Td
(f)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
[(p;)-165(v)]TJ
/F8 1 Tf
2.343 0 Td
(\))Tj
/F13 1 Tf
0.858 0 Td
(2)Tj
/F12 1 Tf
1.122 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 412.68 585.6 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F13 1 Tf
10.90909 0 0 10.90909 429.72 581.04 Tm
<02>Tj
/F12 1 Tf
1.078 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 451.92 585 Tm
0 Tc
(l)Tj
/F12 1 Tf
10.90909 0 0 10.90909 454.92 581.04 Tm
(=p)Tj
/F13 1 Tf
1.298 0 Td
<01>Tj
/F12 1 Tf
0.572 0 Td
(v)Tj
/F8 1 Tf
0.968 0 Td
0.451 Tc
(=0)Tj
/F13 1 Tf
1.727 0 Td
0 Tc
(g)Tj
/F8 1 Tf
1.386 0 Td
0.44 Tc
[(yp)407(o)440(r)]TJ
-37.15799 -1.35299 TD
0 Tc
(\()Tj
/F12 1 Tf
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 133.92 570.84 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 147.96 566.28 Tm
(\))Tj
/F4 1 Tf
7.97011 0 0 7.97011 152.16 564.6 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 160.56 566.28 Tm
[(al)-341(conjun)33(to)]TJ
/F13 1 Tf
5.214 0 Td
(f)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
[(p;)-165(v)]TJ
/F8 1 Tf
2.343 0 Td
(\))Tj
/F13 1 Tf
0.682 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 276 570.84 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F12 1 Tf
10.90909 0 0 10.90909 289.92 566.28 Tm
(=v)Tj
/F8 1 Tf
1.298 0 Td
0.275 Tc
(=0)Tj
/F13 1 Tf
1.551 0 Td
0 Tc
(g)Tj
/F12 1 Tf
0.495 0 Td
(:)Tj
/F17 1 Tf
-19.426 -1.881 TD
[(De\fnici\023)572(on)-396(9)]TJ
/F8 1 Tf
6.732 0 Td
[(El)-330(gr\023)495(a\fco)-341(de)]TJ
/F12 1 Tf
5.852 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(:)Tj
/F12 1 Tf
0.44 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 270.48 549.72 Tm
(l)Tj
/F4 1 Tf
-0.07528 -0.82809 TD
(++)Tj
/F13 1 Tf
10.90909 0 0 10.90909 286.44 545.76 Tm
-0.165 Tc
<0021>Tj
/F12 1 Tf
1.892 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 317.52 549.72 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 324.24 545.76 Tm
[(es)-330(el)-341(conjun)33(to)]TJ
-8.426 -2.42 TD
[(Graf)-11(\()]TJ
/F12 1 Tf
2.376 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
0.275 Tc
(\)=)Tj
/F13 1 Tf
1.716 0 Td
0 Tc
(f)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
[(p;)-165(v)]TJ
/F8 1 Tf
2.343 0 Td
(\))Tj
/F13 1 Tf
0.682 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 334.2 523.92 Tm
(l)Tj
/F4 1 Tf
-0.07528 -0.90337 TD
(++)Tj
/F13 1 Tf
10.90909 0 0 10.90909 349.56 519.36 Tm
<02>Tj
/F12 1 Tf
1.001 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 370.92 523.92 Tm
0 Tc
(l)Tj
/F12 1 Tf
10.90909 0 0 10.90909 374.04 519.36 Tm
(=v)Tj
/F8 1 Tf
1.298 0 Td
(=)Tj
/F12 1 Tf
1.056 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\))Tj
/F13 1 Tf
1.276 0 Td
(g)Tj
/F12 1 Tf
(:)Tj
/F17 1 Tf
-28.02799 -2.332 TD
[(Observ)66(aciones)]TJ
/F8 1 Tf
0.726 -2.167 TD
((a))Tj
/F12 1 Tf
1.782 0 Td
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 157.08 474.84 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 175.56 470.28 Tm
[(es)-418(una)-418(v)55(ariedad)]TJ
/F12 1 Tf
7.414 0 Td
(C)Tj
/F16 1 Tf
7.97011 0 0 7.97011 265.08 474.24 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 278.52 470.28 Tm
[(de)-418(dimensi\023)495(on)-418(2\()]TJ
/F12 1 Tf
7.117 0 Td
(l)Tj
/F13 1 Tf
0.605 0 Td
<00>Tj
/F8 1 Tf
1.067 0 Td
[(1\),)-429(\()]TJ
/F12 1 Tf
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 411.12 474.84 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 425.04 470.28 Tm
(\))Tj
/F4 1 Tf
7.97011 0 0 7.97011 429.24 468.6 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 438.6 470.28 Tm
[(es)-429(una)-418(sub)33(v)55(ariedad)-407(de)]TJ
/F12 1 Tf
-27.203 -1.353 TD
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 157.08 460.08 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 175.44 455.52 Tm
[(can\023)495(onicamen)33(te)-440(difeomorfa)-407(a)]TJ
/F12 1 Tf
12.76 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 321.96 460.08 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23462 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 340.44 455.52 Tm
-0.11 Tc
<7613>Tj
0.528 0 Td
0 Tc
[<1061>-418(la)-418(funci\023)495(on)]TJ
/F12 1 Tf
5.984 0 Td
(g)Tj
/F8 1 Tf
0.506 0 Td
(\()Tj
/F12 1 Tf
(v)Tj
/F8 1 Tf
0.902 0 Td
0.429 Tc
[(\)=)33(\()]TJ
/F12 1 Tf
2.376 0 Td
0.033 Tc
(v;)Tj
/F8 1 Tf
0.957 0 Td
0 Tc
[(0\))-440(y)-407(p)-33(or)-407(lo)-418(tan)33(to)]TJ
/F12 1 Tf
-29.45799 -1.353 TD
(T)Tj
/F4 1 Tf
7.97011 0 0 7.97011 148.2 438.48 Tm
(\()Tj
/F15 1 Tf
0.40652 0 Td
(p;)Tj
/F4 1 Tf
0.84315 0 Td
(0\))Tj
/F8 1 Tf
10.90909 0 0 10.90909 166.08 440.76 Tm
(\()Tj
/F12 1 Tf
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 185.52 445.32 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 199.44 440.76 Tm
(\))Tj
/F4 1 Tf
7.97011 0 0 7.97011 203.64 439.08 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 211.44 440.76 Tm
(=)Tj
/F12 1 Tf
1.056 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 229.32 439.08 Tm
(p)Tj
/F13 1 Tf
10.90909 0 0 10.90909 236.52 440.76 Tm
0.22 Tc
<0266>Tj
/F8 1 Tf
1.496 0 Td
0 Tc
(0)Tj
/F13 1 Tf
0.495 0 Td
(g)Tj
/F8 1 Tf
0.495 0 Td
(.)Tj
-13.002 -2.343 TD
[((b))-506(Graf\()]TJ
/F12 1 Tf
4.202 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
[(\))-264(es)-275(una)-264(sub)33(v)55(ariedad)]TJ
/F12 1 Tf
9.086 0 Td
(C)Tj
/F4 1 Tf
7.97011 0 0 7.97011 282 419.16 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 289.68 415.2 Tm
(de)Tj
/F12 1 Tf
1.276 0 Td
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 318.84 419.76 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F12 1 Tf
10.90909 0 0 10.90909 332.64 415.2 Tm
(;)Tj
/F8 1 Tf
0.55 0 Td
[(can\023)495(onicamen)33(te)-297(difeomorfa)-275(a)]TJ
/F12 1 Tf
12.342 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 480.6 419.76 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23462 -0.91843 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 497.52 415.2 Tm
-0.11 Tc
<7613>Tj
0.528 0 Td
0 Tc
<1061>Tj
/F12 1 Tf
1.056 0 Td
(h)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
0.957 0 Td
(p)Tj
/F8 1 Tf
0.286 Tc
(\)=)Tj
-35.14499 -1.353 TD
0 Tc
(\()Tj
/F12 1 Tf
[(p;)-165(f)]TJ
/F8 1 Tf
1.936 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.891 0 Td
(\)\))Tj
/F12 1 Tf
(:)Tj
/F8 1 Tf
1.276 0 Td
[(P)33(ara)]TJ
/F12 1 Tf
2.266 0 Td
(p)Tj
/F13 1 Tf
0.781 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 237.48 405 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 253.8 400.44 Tm
[(tenemos)-242(que)]TJ
/F12 1 Tf
5.544 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 320.64 398.28 Tm
(h)Tj
/F4 1 Tf
0.61731 0 Td
(\()Tj
/F15 1 Tf
0.40652 0 Td
(p)Tj
/F4 1 Tf
0.54203 0 Td
(\))Tj
/F8 1 Tf
10.90909 0 0 10.90909 336.84 400.44 Tm
[(\(Graf)-11(\()]TJ
/F12 1 Tf
2.761 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
[(\)\))-275(=)-275(Graf\()]TJ
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
5.654 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
[(\)\))-286(=)]TJ
/F13 1 Tf
3.003 0 Td
(f)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
0.033 Tc
[(v;)-132(@)-22(f)]TJ
/F8 1 Tf
3.025 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
(v)Tj
/F8 1 Tf
1.793 0 Td
(\))Tj
/F12 1 Tf
(=v)Tj
/F13 1 Tf
1.716 0 Td
(2)Tj
/F12 1 Tf
-36.432 -1.243 TD
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 148.2 385.2 Tm
(p)Tj
/F13 1 Tf
10.90909 0 0 10.90909 152.88 386.88 Tm
(g)Tj
/F8 1 Tf
0.836 0 Td
(y)Tj
/F12 1 Tf
0.858 0 Td
0.055 Tc
(@h)Tj
/F8 1 Tf
1.155 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.891 0 Td
(\)\()Tj
/F12 1 Tf
0.77 0 Td
(v)Tj
/F8 1 Tf
0.517 0 Td
0.308 Tc
[(\)=)33(\()]TJ
/F12 1 Tf
2.134 0 Td
0.033 Tc
[(v;)-132(@)-22(f)]TJ
/F8 1 Tf
2.145 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\)\()Tj
/F12 1 Tf
1.661 0 Td
(v)Tj
/F8 1 Tf
0.517 0 Td
(\)\))Tj
/F12 1 Tf
(:)Tj
/F8 1 Tf
-12.496 -1.705 TD
[(T)88(o)-33(das)-330(las)-352(pruebas)-330(de)-341(estos)-341(resultados)-352(pueden)-319(ser)-341(encon)33(tradas)-352(en)-341(Guillermin-P)33(ollac)33(k,)]TJ
0 -1.243 TD
(1974.)Tj
/F12 1 Tf
0 -1.705 TD
(h)Tj
/F8 1 Tf
0.924 0 Td
[(vista)-374(como)-363(funci\023)495(on)-352(de)]TJ
/F12 1 Tf
9.988 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 268.2 340.68 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F13 1 Tf
10.90909 0 0 10.90909 285.6 336.12 Tm
-0.165 Tc
<0021>Tj
/F12 1 Tf
1.936 0 Td
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 321.96 340.68 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23462 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 339.72 336.12 Tm
[(es)-363(tal)-363(que)]TJ
/F12 1 Tf
4.609 0 Td
(h)Tj
/F16 1 Tf
7.97011 0 0 7.97011 396.24 340.08 Tm
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 407.52 336.12 Tm
(\(\()Tj
/F12 1 Tf
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 431.16 340.68 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23462 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 445.2 336.12 Tm
(\))Tj
/F4 1 Tf
7.97011 0 0 7.97011 449.4 334.44 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 454.2 336.12 Tm
[(\))-363(es)-352(exactamen)33(te)-396(el)]TJ
-28.633 -1.353 TD
[(conjun)33(to)-319(de)-308(los)-319(v)33(ectores)-330(de)-319(precios)-319(de)-308(equilibrio)-319(en)]TJ
/F12 1 Tf
22.374 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 393.24 325.92 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 407.16 321.36 Tm
[(.)-319(Denotemos)-330(tal)-319(conjun)33(to)-319(p)-33(or)]TJ
/F12 1 Tf
-24.321 -1.243 TD
(E)Tj
/F8 1 Tf
0.792 0 Td
(.)Tj
/F17 1 Tf
-3.3 -2.783 TD
[(Prop)-33(osici\023)572(on)-506(11)]TJ
/F8 1 Tf
8.437 0 Td
[(El)-429(conjun)33(to)]TJ
/F12 1 Tf
5.577 0 Td
(E)Tj
/F8 1 Tf
1.221 0 Td
[(de)-418(precios)-429(de)-418(equilibrio)-418(de)-429(una)-407(econom)110<13>]TJ
17.49 0 Td
<1061>Tj
/F13 1 Tf
1.21 0 Td
(E)Tj
/F8 1 Tf
1.045 0 Td
(en)Tj
/F12 1 Tf
1.419 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 518.88 282 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 537.36 277.44 Tm
(es)Tj
-38.76399 -1.243 TD
(compacto.)Tj
/F17 1 Tf
0 -1.265 TD
(Prueba)Tj
/F8 1 Tf
4.532 0 Td
[(Es)-418(su\fcien)33(te)-429(probar)-407(que)]TJ
/F12 1 Tf
11.22 0 Td
(E)Tj
/F8 1 Tf
1.21 0 Td
[(es)-429(cerrado)-418(y)-429(acotado.)-440(Como)]TJ
/F12 1 Tf
12.925 0 Td
(E)Tj
/F13 1 Tf
1.221 0 Td
<12>Tj
/F12 1 Tf
1.199 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 474.24 254.64 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23462 -0.91843 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 492.72 250.08 Tm
[(es)-429(acotado,)]TJ
-34.67199 -1.243 TD
(sea)Tj
/F12 1 Tf
1.727 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 138.84 234.84 Tm
(n)Tj
/F13 1 Tf
10.90909 0 0 10.90909 148.44 236.52 Tm
(2)Tj
/F12 1 Tf
1.023 0 Td
(E)Tj
/F8 1 Tf
1.177 0 Td
[(secuencia)-396(tal)-396(que)]TJ
/F12 1 Tf
7.909 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 264.24 234.84 Tm
(n)Tj
/F13 1 Tf
10.90909 0 0 10.90909 273.84 236.52 Tm
-0.176 Tc
<0021>Tj
/F12 1 Tf
1.969 0 Td
0 Tc
(p)Tj
/F8 1 Tf
(,)Tj
/F13 1 Tf
1.166 0 Td
(k)Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F13 1 Tf
(k)Tj
/F8 1 Tf
1.364 0 Td
[(=)-363(1,)-396(en)33(tonces)]TJ
/F12 1 Tf
6.391 0 Td
(p)Tj
/F13 1 Tf
0.858 0 Td
(6)Tj
/F8 1 Tf
[(=)-363(0)-385(y)-385(p)-33(or)-374(la)-396(parte)-385((iv))-396(de)-385(la)]TJ
-26.85099 -1.243 TD
[(prop)-33(osici\023)495(on)-385(5,)-385(dado)-385(que)]TJ
/F13 1 Tf
10.934 0 Td
(k)Tj
/F12 1 Tf
(f)Tj
/F8 1 Tf
1.1 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 255.48 221.28 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 261 222.96 Tm
(\))Tj
/F13 1 Tf
0.385 0 Td
(k)Tj
/F8 1 Tf
0.869 0 Td
[(=)-352(0,)-396(para)-374(to)-33(do)]TJ
/F12 1 Tf
6.974 0 Td
(n)Tj
/F8 1 Tf
[(,)-385(deb)-33(emos)-374(tener)]TJ
/F12 1 Tf
8.008 0 Td
0.363 Tc
(p>)Tj
/F8 1 Tf
2.002 0 Td
0 Tc
(0)Tj
/F12 1 Tf
(;)Tj
/F8 1 Tf
1.155 0 Td
(luego)Tj
/F12 1 Tf
2.662 0 Td
(p)Tj
/F13 1 Tf
0.869 0 Td
(2)Tj
/F12 1 Tf
1.023 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 529.56 227.52 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F12 1 Tf
10.90909 0 0 10.90909 543.48 222.96 Tm
(:)Tj
/F8 1 Tf
-39.32499 -1.243 TD
[(P)33(or)-341(con)33(tin)33(uidad)-341(de)]TJ
/F12 1 Tf
8.657 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(,)Tj
/F12 1 Tf
0.605 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.275 Tc
[(\)=l)385<13>660<10>]TJ
2.783 0 Td
0 Tc
(m)Tj
/F15 1 Tf
7.97011 0 0 7.97011 272.28 207.72 Tm
(n)Tj
/F16 1 Tf
0.64742 0 Td
(!1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 296.76 209.4 Tm
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 313.08 207.72 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 318.6 209.4 Tm
0.275 Tc
(\)=0)Tj
/F12 1 Tf
2.211 0 Td
0 Tc
(;)Tj
/F8 1 Tf
0.616 0 Td
[(consecuen)33(temen)33(te)]TJ
/F12 1 Tf
8.118 0 Td
(p)Tj
/F13 1 Tf
0.781 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
(E)Tj
/F8 1 Tf
1.133 0 Td
(y)Tj
/F12 1 Tf
0.858 0 Td
(E)Tj
/F8 1 Tf
1.133 0 Td
[(es)-330(cerrado.)]TJ
-32.95599 -1.265 TD
[(Si)-352(en)-352(la)-363(prop)-33(osici\023)495(on)-352(an)33(terior)-363(reemplazamos)]TJ
/F12 1 Tf
19.261 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 348.84 200.16 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 366.6 195.6 Tm
0.033 Tc
[(po)33(r)]TJ
/F12 1 Tf
1.826 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 396.96 199.56 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 410.52 195.6 Tm
[(,)-352(el)-363(resultado)-352(es)-363(falso)-352(y)33(a)-363(que)]TJ
-27.137 -1.243 TD
(si)Tj
/F12 1 Tf
1.045 0 Td
(p)Tj
/F8 1 Tf
0.88 0 Td
[(es)-374(un)-352(v)33(ector)-396(de)-363(equilibrio)]TJ
/F12 1 Tf
11.55 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
<0B70>Tj
/F8 1 Tf
[(\))-341(=)-341(0)-374(para)-374(to)-33(do)]TJ
/F12 1 Tf
8.91 0 Td
<0B>Tj
/F8 1 Tf
[(.)-374(En)-363(particular)]TJ
/F12 1 Tf
7.546 0 Td
<0B70>Tj
/F13 1 Tf
1.496 0 Td
-0.176 Tc
<0021>Tj
/F8 1 Tf
1.947 0 Td
0.374 Tc
[(0s)374(i)]TJ
/F12 1 Tf
1.914 0 Td
0 Tc
<0B>Tj
/F13 1 Tf
0.979 0 Td
-0.165 Tc
<0021>Tj
/F8 1 Tf
1.958 0 Td
0 Tc
(0)Tj
/F12 1 Tf
(;)Tj
/F8 1 Tf
-38.82999 -1.243 TD
[(p)-33(or)-297(lo)-319(tan)33(to)-319(el)-319(conjun)33(to)-308(de)-308(precios)-319(de)-308(equilibrio)-308(en)]TJ
/F12 1 Tf
22.231 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 367.44 172.44 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 384.24 168.48 Tm
[(no)-308(es)-308(cerrado)-319(si)-308(no)-308(es)-308(v)55(ac)110<13>]TJ
10.945 0 Td
[(\020o,)-330(p)-33(or)-297(lo)]TJ
-35.67299 -1.243 TD
[(tan)33(to)-352(no)-330(ser)110<13>]TJ
5.258 0 Td
[<1061>-341(compacto.)]TJ
/F17 1 Tf
-5.258 -1.87 TD
[(Prop)-33(osici\023)572(on)-396(12)]TJ
/F8 1 Tf
8.096 0 Td
(Si)Tj
/F12 1 Tf
1.155 0 Td
(p)Tj
/F8 1 Tf
0.814 0 Td
[(es)-319(un)-308(v)33(ector)-341(de)-308(precios)-330(de)-308(equilibrio)-330(regular,)-319(en)33(tonces)]TJ
/F12 1 Tf
23.606 0 Td
(p)Tj
/F8 1 Tf
0.825 0 Td
[(es)-319(un)-308(pun)33(to)]TJ
-34.49599 -1.243 TD
[(aislado)-352(de)]TJ
/F12 1 Tf
4.675 0 Td
(E)Tj
/F8 1 Tf
0.792 0 Td
(.)Tj
/F17 1 Tf
-5.467 -1.276 TD
(Prueba)Tj
/F8 1 Tf
4.301 0 Td
(Sea)Tj
/F12 1 Tf
1.815 0 Td
(p)Tj
/F8 1 Tf
0.814 0 Td
[(tal)-319(que)]TJ
/F12 1 Tf
3.311 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
[(\))-275(=)-275(0)-319(y)-319(tal)-319(que)-308(el)-319(rango)-319(de)]TJ
/F12 1 Tf
12.683 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
[(\))-319(es)-319(igual)-319(a)]TJ
/F12 1 Tf
5.984 0 Td
(l)Tj
/F13 1 Tf
0.495 0 Td
<00>Tj
/F8 1 Tf
0.957 0 Td
[(1.)-319(Si)-308(se)-319(considera)]TJ
/F12 1 Tf
-32.153 -1.243 TD
(h)Tj
/F8 1 Tf
0.572 0 Td
(:)Tj
/F12 1 Tf
0.44 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 132.84 98.16 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F13 1 Tf
10.90909 0 0 10.90909 150.36 93.48 Tm
-0.176 Tc
<0021>Tj
/F12 1 Tf
1.925 0 Td
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 186.6 98.16 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 204.36 93.48 Tm
(con)Tj
/F12 1 Tf
1.859 0 Td
(h)Tj
/F8 1 Tf
0.572 0 Td
(\()Tj
/F12 1 Tf
(q)Tj
/F8 1 Tf
0.869 0 Td
0.319 Tc
(\)=\()Tj
/F12 1 Tf
2.189 0 Td
0.033 Tc
[(q;)-132(f)]TJ
/F8 1 Tf
1.529 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(q)Tj
/F8 1 Tf
0.484 0 Td
(\)\))Tj
/F12 1 Tf
(;)Tj
/F8 1 Tf
1.408 0 Td
(tenemos)Tj
/F12 1 Tf
3.916 0 Td
(h)Tj
/F8 1 Tf
0.572 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.33 Tc
[(\)=)22(\()]TJ
/F12 1 Tf
3.08 0 Td
0 Tc
(p;)Tj
/F8 1 Tf
0.946 0 Td
(0\))Tj
/F13 1 Tf
1.21 0 Td
(2)Tj
/F8 1 Tf
0.979 0 Td
(\()Tj
/F12 1 Tf
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 441.96 98.16 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 455.88 93.48 Tm
(\))Tj
/F4 1 Tf
7.97011 0 0 7.97011 460.08 91.8 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 464.88 93.48 Tm
[(.)-363(La)-352(co)-33(dimensi\023)495(on)]TJ
ET
endstream
endobj
14 0 obj
<<
/Length 22707
>>
stream
/GS4 gs
BT
/F8 1 Tf
10.90909 0 0 10.90909 72 722.16 Tm
0 g
(12)Tj
/F11 1 Tf
15.444 0 Td
[(o.)-374(a)22(cu)]TJ
3.168 0.088 TD
(~)Tj
-0.033 -0.088 TD
[(na)-363({)-385(f.)-374(ula)66(te)]TJ
/F8 1 Tf
-18.579 -3.278 TD
[(de)-319(\()]TJ
/F12 1 Tf
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 105.84 690.96 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 119.76 686.4 Tm
(\))Tj
/F4 1 Tf
7.97011 0 0 7.97011 123.96 684.72 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 132.24 686.4 Tm
(en)Tj
/F12 1 Tf
1.331 0 Td
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 162 690.96 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 179.4 686.4 Tm
(es)Tj
/F12 1 Tf
1.155 0 Td
(l)Tj
/F13 1 Tf
0.517 0 Td
<00>Tj
/F8 1 Tf
0.979 0 Td
[(1,)-330(luego)-330(existe)-341(un)-308(abierto)]TJ
/F12 1 Tf
11.319 0 Td
(V)Tj
/F8 1 Tf
1.122 0 Td
(en)Tj
/F12 1 Tf
1.32 0 Td
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 373.68 690.96 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 391.08 686.4 Tm
(y)Tj
/F12 1 Tf
0.858 0 Td
(g)Tj
/F8 1 Tf
0.506 0 Td
(:)Tj
/F12 1 Tf
0.44 0 Td
(V)Tj
/F13 1 Tf
1.089 0 Td
-0.165 Tc
<0021>Tj
/F12 1 Tf
1.892 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 453.72 690.36 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 471.12 686.4 Tm
[(tal)-330(que)]TJ
-36.58599 -1.353 TD
(\()Tj
/F12 1 Tf
0.385 0 Td
(p;)Tj
/F8 1 Tf
0.946 0 Td
(0\))Tj
/F13 1 Tf
1.177 0 Td
(2)Tj
/F12 1 Tf
0.935 0 Td
(V)Tj
/F8 1 Tf
0.814 0 Td
(,)Tj
/F12 1 Tf
0.605 0 Td
(g)Tj
/F8 1 Tf
0.847 0 Td
(es)Tj
/F12 1 Tf
1.177 0 Td
(C)Tj
/F4 1 Tf
7.97011 0 0 7.97011 155.76 675.6 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 160.44 671.64 Tm
[(,)-330(para)-330(to)-33(do)]TJ
/F12 1 Tf
5.192 0 Td
(v)Tj
/F13 1 Tf
0.803 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
(V)Tj
/F8 1 Tf
0.803 0 Td
(,)Tj
/F12 1 Tf
0.605 0 Td
0.055 Tc
(@g)Tj
/F8 1 Tf
1.089 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(v)Tj
/F8 1 Tf
0.902 0 Td
[(\))-363(es)-330(sobrey)33(ectiv)55(a)-363(y)]TJ
/F12 1 Tf
8.426 0 Td
(g)Tj
/F16 1 Tf
7.97011 0 0 7.97011 370.68 675.6 Tm
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 382.08 671.64 Tm
[((0))-286(=)]TJ
/F12 1 Tf
2.607 0 Td
(V)Tj
/F13 1 Tf
1.034 0 Td
(\\)Tj
/F8 1 Tf
0.88 0 Td
(\()Tj
/F12 1 Tf
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 450.84 676.2 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 464.88 671.64 Tm
(\))Tj
/F4 1 Tf
7.97011 0 0 7.97011 469.08 669.96 Tm
(0)Tj
/F12 1 Tf
10.90909 0 0 10.90909 473.76 671.64 Tm
(:)Tj
/F8 1 Tf
-35.27699 -1.254 TD
(Si)Tj
/F12 1 Tf
1.144 0 Td
(r)Tj
/F8 1 Tf
0.759 0 Td
(=)Tj
/F12 1 Tf
1.056 0 Td
(g)Tj
/F13 1 Tf
0.682 0 Td
<0E>Tj
/F12 1 Tf
0.671 0 Td
(h)Tj
/F8 1 Tf
(:)Tj
/F12 1 Tf
1.012 0 Td
(h)Tj
/F16 1 Tf
7.97011 0 0 7.97011 153.24 661.92 Tm
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 164.76 657.96 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(V)Tj
/F8 1 Tf
0.803 0 Td
(\))Tj
/F13 1 Tf
0.671 0 Td
-0.176 Tc
<0021>Tj
/F12 1 Tf
1.892 0 Td
0 Tc
(V)Tj
/F13 1 Tf
1.078 0 Td
-0.165 Tc
<0021>Tj
/F12 1 Tf
1.892 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 248.52 661.92 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 265.8 657.96 Tm
[(a\frmamos)-297(que)]TJ
/F12 1 Tf
6.644 0 Td
0.055 Tc
(@r)Tj
/F8 1 Tf
1.067 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\):)Tj
/F12 1 Tf
1.716 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 375 656.28 Tm
(p)Tj
/F13 1 Tf
10.90909 0 0 10.90909 382.92 657.96 Tm
-0.165 Tc
<0021>Tj
/F12 1 Tf
1.892 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 414 661.92 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 431.28 657.96 Tm
[(es)-308(biy)33(ectiv)55(a.)-330(Es)]TJ
-32.93399 -1.243 TD
[(su\fcien)33(te)-341(probar)-319(que)]TJ
/F12 1 Tf
9.46 0 Td
0.055 Tc
(@r)Tj
/F8 1 Tf
1.067 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
[(\))-330(es)-341(sobrey)33(ectiv)55(a)-352(y)33(a)-341(que)-341(dim)]TJ
/F12 1 Tf
12.914 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 338.28 642.72 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 345.96 644.4 Tm
[(=)-275(dim)]TJ
/F12 1 Tf
2.893 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 387.96 648.36 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 404.88 644.4 Tm
(=)Tj
/F12 1 Tf
1.056 0 Td
(l)Tj
/F13 1 Tf
0.539 0 Td
<00>Tj
/F8 1 Tf
1.001 0 Td
(1.)Tj
-31.55899 -1.254 TD
[(P)33(or)-506(la)-495(regla)-517(de)-495(la)-495(cadena)]TJ
/F12 1 Tf
12.188 0 Td
0.055 Tc
(@r)Tj
/F8 1 Tf
1.067 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.55 Tc
(\)=)Tj
/F12 1 Tf
3.157 0 Td
0.055 Tc
(@g)Tj
/F8 1 Tf
1.089 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(h)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
1.848 0 Td
(\)\))Tj
/F13 1 Tf
1.122 0 Td
<0E>Tj
/F12 1 Tf
0.836 0 Td
0.055 Tc
(@h)Tj
/F8 1 Tf
1.155 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
[(\),)-506(es)-506(decir)-495(el)-506(siguien)33(te)-506(diagrama)]TJ
-24.013 -1.243 TD
[(conm)33(uta.)]TJ
ET
q
83.4 0 0 -0.48 235.428 595.668 cm
/Im1 Do
Q
BT
/F19 1 Tf
9.96264 0 0 9.96264 308.88 595.44 Tm
(-)Tj
/F12 1 Tf
10.90909 0 0 10.90909 221.88 593.28 Tm
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 228.24 591.6 Tm
(p)Tj
/F12 1 Tf
10.90909 0 0 10.90909 321.48 592.44 Tm
(T)Tj
/F4 1 Tf
7.97011 0 0 7.97011 327.84 590.16 Tm
(\()Tj
/F15 1 Tf
0.40652 0 Td
(p;)Tj
/F4 1 Tf
0.84315 0 Td
(0\))Tj
/F8 1 Tf
10.90909 0 0 10.90909 345.84 592.44 Tm
(\()Tj
/F12 1 Tf
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 365.28 597 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 379.2 592.44 Tm
(\))Tj
ET
q
0.48 0 0 -57.6 352.308 587.508 cm
/Im1 Do
Q
BT
/F19 1 Tf
9.96264 0 0 9.96264 352.44 529.92 Tm
(?)Tj
/F12 1 Tf
10.90909 0 0 10.90909 340.32 511.2 Tm
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 350.76 515.16 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F19 1 Tf
9.96264 0 0 9.96264 235.44 574.8 Tm
(Q)Tj
0.99974 -0.66248 TD
(Q)Tj
0.99974 -0.66248 TD
(Q)Tj
0.99974 -0.67452 TD
(Q)Tj
0.99974 -0.66248 TD
(Q)Tj
0.99974 -0.66248 TD
(Q)Tj
0.99974 -0.67452 TD
(Q)Tj
0.99974 -0.66248 TD
(Q)Tj
0.99974 -0.66248 TD
(Q)Tj
0.15658 -0.1084 TD
(Q)Tj
0 0 Td
(s)Tj
/F12 1 Tf
10.90909 0 0 10.90909 267.72 600.6 Tm
0.055 Tc
(@h)Tj
/F8 1 Tf
1.155 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
6.589 -4.004 TD
0.055 Tc
(@g)Tj
/F8 1 Tf
1.089 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p;)Tj
/F8 1 Tf
1.331 0 Td
(0\))Tj
/F12 1 Tf
-9.328 -0.54999 TD
0.055 Tc
(@r)Tj
/F8 1 Tf
1.067 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.506 0 Td
(\))Tj
-21.11999 -6.512 TD
(Calculemos)Tj
/F12 1 Tf
5.28 0 Td
(T)Tj
/F4 1 Tf
7.97011 0 0 7.97011 135.96 477.6 Tm
(\()Tj
/F15 1 Tf
0.40652 0 Td
(p;)Tj
/F4 1 Tf
0.84315 0 Td
(0\))Tj
/F8 1 Tf
10.90909 0 0 10.90909 153.96 479.88 Tm
(\()Tj
/F12 1 Tf
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 173.4 484.44 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 187.32 479.88 Tm
[(\);)-341(considere)]TJ
/F12 1 Tf
5.346 0 Td
(s)Tj
/F8 1 Tf
(:)Tj
/F12 1 Tf
0.913 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 262.92 484.44 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F13 1 Tf
10.90909 0 0 10.90909 279.24 479.88 Tm
<02>Tj
/F12 1 Tf
1.001 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 300.6 483.84 Tm
0 Tc
(l)Tj
/F13 1 Tf
10.90909 0 0 10.90909 306.72 479.88 Tm
-0.176 Tc
<0021>Tj
/F12 1 Tf
1.881 0 Td
-0.253 Tc
(IR)Tj
/F8 1 Tf
1.287 0 Td
0 Tc
[(tal)-352(que)]TJ
/F12 1 Tf
3.366 0 Td
(s)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
[(p;)-165(v)]TJ
/F8 1 Tf
2.321 0 Td
0.286 Tc
(\)=)Tj
/F12 1 Tf
1.727 0 Td
0 Tc
(p)Tj
/F13 1 Tf
0.726 0 Td
<01>Tj
/F12 1 Tf
0.495 0 Td
0.033 Tc
(v;)Tj
/F8 1 Tf
1.133 0 Td
0 Tc
[(es)-341(claro)-341(que)]TJ
/F12 1 Tf
-34.452 -1.408 TD
0.055 Tc
(@s)Tj
/F8 1 Tf
1.056 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p;)Tj
/F8 1 Tf
0.946 0 Td
(0\):)Tj
/F12 1 Tf
1.32 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 118.8 462.84 Tm
(p)Tj
/F13 1 Tf
10.90909 0 0 10.90909 126.48 464.52 Tm
<02>Tj
/F12 1 Tf
1.034 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 148.2 468.48 Tm
0 Tc
(l)Tj
/F13 1 Tf
10.90909 0 0 10.90909 155.04 464.52 Tm
-0.176 Tc
<0021>Tj
/F12 1 Tf
1.958 0 Td
-0.253 Tc
(IR)Tj
/F8 1 Tf
0.957 0 Td
0 Tc
[(,)-374(es)-374(dado)-374(p)-33(or)]TJ
/F12 1 Tf
6.193 0 Td
0.055 Tc
(@s)Tj
/F8 1 Tf
1.056 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p;)Tj
/F8 1 Tf
1.331 0 Td
(0\)\()Tj
/F12 1 Tf
0.033 Tc
[(v;)-132(v)]TJ
/F16 1 Tf
7.97011 0 0 7.97011 310.32 468.48 Tm
0 Tc
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 313.44 464.52 Tm
0.352 Tc
(\)=)Tj
/F12 1 Tf
1.87 0 Td
0 Tc
(v)Tj
/F16 1 Tf
7.97011 0 0 7.97011 339.48 468.48 Tm
(0)Tj
/F13 1 Tf
10.90909 0 0 10.90909 345 464.52 Tm
<01>Tj
/F12 1 Tf
0.528 0 Td
(p:)Tj
/F8 1 Tf
1.155 0 Td
[(Como)-385(\()]TJ
/F12 1 Tf
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 414.84 469.08 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 428.76 464.52 Tm
(\))Tj
/F13 1 Tf
0.638 0 Td
(\\)Tj
/F12 1 Tf
0.913 0 Td
(V)Tj
/F8 1 Tf
1.155 0 Td
(=)Tj
/F12 1 Tf
1.133 0 Td
(s)Tj
/F16 1 Tf
7.97011 0 0 7.97011 475.8 468.48 Tm
<00>Tj
/F4 1 Tf
0.8281 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 487.08 464.52 Tm
((0),)Tj
-38.04899 -1.243 TD
[(en)33(tonces:)]TJ
/F12 1 Tf
0 -2.288 TD
(T)Tj
/F4 1 Tf
7.97011 0 0 7.97011 78.36 423.84 Tm
(\()Tj
/F15 1 Tf
0.40652 0 Td
(p;)Tj
/F4 1 Tf
0.84315 0 Td
(0\))Tj
/F8 1 Tf
10.90909 0 0 10.90909 96.36 426 Tm
(\()Tj
/F12 1 Tf
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 115.8 430.68 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 129.72 426 Tm
0.275 Tc
(\)=)Tj
/F12 1 Tf
1.716 0 Td
0 Tc
(T)Tj
/F4 1 Tf
7.97011 0 0 7.97011 154.8 423.84 Tm
(\()Tj
/F15 1 Tf
0.40652 0 Td
(p;)Tj
/F4 1 Tf
0.84315 0 Td
(0\))Tj
/F8 1 Tf
10.90909 0 0 10.90909 172.8 426 Tm
(\()Tj
/F12 1 Tf
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 192.24 430.68 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F13 1 Tf
10.90909 0 0 10.90909 207.96 426 Tm
(\\)Tj
/F12 1 Tf
0.836 0 Td
(V)Tj
/F8 1 Tf
0.792 0 Td
[(\))-286(=)-275(k)33(er\()]TJ
/F12 1 Tf
0.055 Tc
(@s)Tj
/F8 1 Tf
4.499 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p;)Tj
/F8 1 Tf
0.946 0 Td
[(0\)\))-297(=)]TJ
/F13 1 Tf
2.618 0 Td
(f)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
0.033 Tc
[(v;)-132(v)]TJ
/F16 1 Tf
7.97011 0 0 7.97011 343.56 430.56 Tm
0 Tc
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 346.56 426 Tm
(\))Tj
/F13 1 Tf
0.671 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 370.56 424.32 Tm
(p)Tj
/F13 1 Tf
10.90909 0 0 10.90909 377.04 426 Tm
<02>Tj
/F12 1 Tf
0.946 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 397.8 430.56 Tm
0 Tc
(l)Tj
/F12 1 Tf
10.90909 0 0 10.90909 400.8 426 Tm
(=v)Tj
/F16 1 Tf
7.97011 0 0 7.97011 411.84 430.56 Tm
(0)Tj
/F13 1 Tf
10.90909 0 0 10.90909 416.52 426 Tm
<01>Tj
/F12 1 Tf
0.44 0 Td
(p)Tj
/F8 1 Tf
0.77 0 Td
0.275 Tc
(=0)Tj
/F13 1 Tf
1.551 0 Td
0 Tc
(g)Tj
/F8 1 Tf
0.781 0 Td
(=)Tj
/F12 1 Tf
1.056 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 473.04 424.32 Tm
(p)Tj
/F13 1 Tf
10.90909 0 0 10.90909 479.64 426 Tm
<02>Tj
/F12 1 Tf
0.946 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 496.32 424.32 Tm
(p)Tj
/F12 1 Tf
10.90909 0 0 10.90909 501 426 Tm
(:)Tj
/F8 1 Tf
-39.32499 -2.442 TD
[(P)33(or)-352(otro)-363(lado)]TJ
/F12 1 Tf
6.204 0 Td
(T)Tj
/F4 1 Tf
7.97011 0 0 7.97011 146.04 397.08 Tm
(\()Tj
/F15 1 Tf
0.40652 0 Td
(p;)Tj
/F4 1 Tf
0.84315 0 Td
(0\))Tj
/F8 1 Tf
10.90909 0 0 10.90909 163.92 399.36 Tm
(\()Tj
/F12 1 Tf
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 183.36 403.92 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 197.4 399.36 Tm
(\))Tj
/F4 1 Tf
7.97011 0 0 7.97011 201.6 397.68 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 209.64 399.36 Tm
(=)Tj
/F12 1 Tf
1.078 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 227.76 397.68 Tm
(p)Tj
/F13 1 Tf
10.90909 0 0 10.90909 235.08 399.36 Tm
0.231 Tc
<0266>Tj
/F8 1 Tf
1.507 0 Td
0 Tc
(0)Tj
/F13 1 Tf
0.495 0 Td
(g)Tj
/F12 1 Tf
0.495 0 Td
(:)Tj
/F8 1 Tf
0.638 0 Td
(Como)Tj
/F12 1 Tf
2.904 0 Td
(p)Tj
/F8 1 Tf
0.847 0 Td
[(es)-352(regular,)-352(en)33(tonces)]TJ
/F12 1 Tf
8.921 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\)\()Tj
/F12 1 Tf
1.661 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 444.96 397.68 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 449.88 399.36 Tm
0.297 Tc
(\)=)Tj
/F12 1 Tf
1.771 0 Td
0 Tc
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 475.56 397.68 Tm
(p)Tj
/F12 1 Tf
10.90909 0 0 10.90909 480.24 399.36 Tm
(;)Tj
/F8 1 Tf
0.627 0 Td
0.352 Tc
[(ys)352(i)]TJ
-38.04899 -1.243 TD
0 Tc
(\()Tj
/F12 1 Tf
0.033 Tc
[(v;)-132(v)]TJ
/F16 1 Tf
7.97011 0 0 7.97011 92.28 389.76 Tm
0 Tc
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 95.28 385.8 Tm
(\))Tj
/F13 1 Tf
0.66 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 119.16 384.12 Tm
(p)Tj
/F13 1 Tf
10.90909 0 0 10.90909 126.36 385.8 Tm
<02>Tj
/F12 1 Tf
1.001 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 143.64 384.12 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 152.04 385.8 Tm
(existe)Tj
/F12 1 Tf
2.816 0 Td
(u)Tj
/F13 1 Tf
0.847 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 208.68 384.12 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 217.08 385.8 Tm
(con)Tj
/F12 1 Tf
1.837 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.891 0 Td
(\)\()Tj
/F12 1 Tf
0.77 0 Td
(u)Tj
/F8 1 Tf
0.286 Tc
(\)=)Tj
/F12 1 Tf
2.299 0 Td
0 Tc
(v)Tj
/F16 1 Tf
7.97011 0 0 7.97011 298.92 389.76 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 301.68 385.8 Tm
[(,)-341(luego)]TJ
-14.322 -2.288 TD
(\()Tj
/F12 1 Tf
0.033 Tc
[(v;)-132(v)]TJ
/F16 1 Tf
7.97011 0 0 7.97011 165.72 365.4 Tm
0 Tc
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 168.72 360.84 Tm
0.286 Tc
[(\)=)11(\()]TJ
/F12 1 Tf
2.112 0 Td
0 Tc
(v)Tj
/F13 1 Tf
0.748 0 Td
<00>Tj
/F12 1 Tf
0.99 0 Td
(u;)Tj
/F8 1 Tf
1.012 0 Td
[(0\))-242(+)-220(\()]TJ
/F12 1 Tf
[(u;)-165(@)-55(f)]TJ
/F8 1 Tf
4.708 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\)\()Tj
/F12 1 Tf
(u)Tj
/F8 1 Tf
2.233 0 Td
(\)\))Tj
/F13 1 Tf
1.067 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 325.8 359.16 Tm
(p)Tj
/F13 1 Tf
10.90909 0 0 10.90909 333 360.84 Tm
0.22 Tc
<0266>Tj
/F8 1 Tf
1.496 0 Td
0 Tc
(0)Tj
/F13 1 Tf
0.495 0 Td
(g)Tj
/F8 1 Tf
0.726 0 Td
[(+)-220(graf)-11(\()]TJ
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
4.279 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\)\))Tj
/F12 1 Tf
(:)Tj
/F8 1 Tf
-29.36999 -2.299 TD
[(P)33(or)-418(lo)-418(tan)33(to)]TJ
/F12 1 Tf
5.863 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 159.24 334.08 Tm
(p)Tj
/F13 1 Tf
10.90909 0 0 10.90909 166.92 335.76 Tm
0.275 Tc
<0266>Tj
/F8 1 Tf
1.551 0 Td
0 Tc
(0)Tj
/F13 1 Tf
(g)Tj
/F8 1 Tf
1.276 0 Td
[(+)-275(graf\()]TJ
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
4.323 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
[(\)\))-418(=)]TJ
/F12 1 Tf
3.256 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 286.8 334.08 Tm
(p)Tj
/F13 1 Tf
10.90909 0 0 10.90909 294.6 335.76 Tm
<02>Tj
/F12 1 Tf
1.056 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 312.48 334.08 Tm
(p)Tj
/F12 1 Tf
10.90909 0 0 10.90909 317.16 335.76 Tm
(:)Tj
/F8 1 Tf
0.693 0 Td
(Como)Tj
/F12 1 Tf
2.97 0 Td
(T)Tj
/F4 1 Tf
7.97011 0 0 7.97011 363.48 333.6 Tm
(\()Tj
/F15 1 Tf
0.40652 0 Td
(p;)Tj
/F4 1 Tf
0.84315 0 Td
(0\))Tj
/F8 1 Tf
10.90909 0 0 10.90909 381.36 335.76 Tm
(\()Tj
/F12 1 Tf
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 400.8 340.32 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 414.84 335.76 Tm
(\))Tj
/F4 1 Tf
7.97011 0 0 7.97011 419.04 334.08 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 428.16 335.76 Tm
0.407 Tc
[(=k)440(e)407(r)]TJ
/F12 1 Tf
2.684 0 Td
0.055 Tc
(@g)Tj
/F8 1 Tf
1.089 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p;)Tj
/F8 1 Tf
1.331 0 Td
[(0\))-440(y)]TJ
-37.752 -1.243 TD
(graf\()Tj
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
3.267 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
[(\)\))-286(=)-275(imagen)-11(\()]TJ
/F12 1 Tf
0.055 Tc
(@h)Tj
/F8 1 Tf
7.656 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
[(\)\),)-352(en)33(tonces)-352(tenemos)]TJ
/F12 1 Tf
-3.157 -2.288 TD
0.055 Tc
(@g)Tj
/F8 1 Tf
1.089 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p;)Tj
/F8 1 Tf
0.946 0 Td
[(0\)\(imagen)-363(\()]TJ
/F12 1 Tf
0.055 Tc
(@h)Tj
/F8 1 Tf
6.27 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
[(\)\)\))-308(=)]TJ
/F12 1 Tf
3.025 0 Td
0.055 Tc
(@g)Tj
/F8 1 Tf
1.089 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p;)Tj
/F8 1 Tf
1.331 0 Td
(0\)\()Tj
/F12 1 Tf
1.265 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 339.48 295.56 Tm
(p)Tj
/F13 1 Tf
10.90909 0 0 10.90909 346.92 297.24 Tm
<02>Tj
/F12 1 Tf
1.001 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 364.2 295.56 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 369 297.24 Tm
0.286 Tc
(\)=)Tj
/F12 1 Tf
1.727 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 398.28 301.8 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 412.08 297.24 Tm
(;)Tj
/F8 1 Tf
-31.17399 -2.277 TD
(y)Tj
/F12 1 Tf
0.902 0 Td
0.055 Tc
(@r)Tj
/F8 1 Tf
1.067 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
[(\))-374(es)-374(sobrey)33(ectiv)55(a.)-396(P)33(or)-374(el)-374(teorema)-385(de)-374(la)-374(funci\023)495(on)-374(in)33(v)33(ersa,)-385(existe)-385(un)-352(abierto)]TJ
/F12 1 Tf
32.84599 0 Td
(U)Tj
/F8 1 Tf
1.166 0 Td
(de)Tj
/F12 1 Tf
1.364 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 490.92 276.36 Tm
(l)Tj
/F4 1 Tf
-0.07528 -0.84315 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 72 258.84 Tm
[(tal)-341(que)]TJ
/F12 1 Tf
3.366 0 Td
(p)Tj
/F13 1 Tf
0.781 0 Td
(2)Tj
/F12 1 Tf
0.935 0 Td
(U)Tj
/F8 1 Tf
1.133 0 Td
(y)Tj
/F12 1 Tf
0.858 0 Td
0.033 Tc
[(r=)33(U)]TJ
/F8 1 Tf
1.771 0 Td
0 Tc
(:)Tj
/F12 1 Tf
0.44 0 Td
(U)Tj
/F13 1 Tf
1.078 0 Td
-0.176 Tc
<0021>Tj
/F12 1 Tf
1.881 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 216 262.8 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 233.52 258.84 Tm
[(es)-341(uno)-330(a)-330(uno,)-330(en)33(tonces)]TJ
/F13 1 Tf
-8.723 -2.288 TD
(f)Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F13 1 Tf
0.506 0 Td
(g)Tj
/F8 1 Tf
0.781 0 Td
0.275 Tc
(=\()Tj
/F12 1 Tf
1.441 0 Td
0.033 Tc
[(r=)33(U)]TJ
/F8 1 Tf
1.771 0 Td
0 Tc
(\))Tj
/F16 1 Tf
7.97011 0 0 7.97011 197.04 238.32 Tm
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 208.44 233.88 Tm
[((0))-286(=)]TJ
/F12 1 Tf
2.607 0 Td
(r)Tj
/F16 1 Tf
7.97011 0 0 7.97011 242.16 238.32 Tm
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 253.44 233.88 Tm
((0))Tj
/F13 1 Tf
1.496 0 Td
(\\)Tj
/F12 1 Tf
0.891 0 Td
(U)Tj
/F8 1 Tf
1.067 0 Td
(=)Tj
/F12 1 Tf
1.056 0 Td
(h)Tj
/F16 1 Tf
7.97011 0 0 7.97011 308.88 238.32 Tm
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 320.28 233.88 Tm
(\(\()Tj
/F12 1 Tf
0.143 Tc
(TS)Tj
/F15 1 Tf
7.97011 0 0 7.97011 343.92 238.44 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 357.84 233.88 Tm
(\))Tj
/F4 1 Tf
7.97011 0 0 7.97011 362.04 232.2 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 366.84 233.88 Tm
(\))Tj
/F13 1 Tf
0.616 0 Td
(\\)Tj
/F12 1 Tf
0.891 0 Td
(U)Tj
/F8 1 Tf
1.067 0 Td
(=)Tj
/F12 1 Tf
1.056 0 Td
(E)Tj
/F13 1 Tf
1.012 0 Td
(\\)Tj
/F12 1 Tf
0.891 0 Td
(U;)Tj
/F8 1 Tf
-32.55999 -2.288 TD
[(es)-341(decir)]TJ
/F12 1 Tf
3.619 0 Td
(p)Tj
/F8 1 Tf
0.836 0 Td
[(es)-341(un)-319(pun)33(to)-330(aislado)-352(de)]TJ
/F12 1 Tf
10.153 0 Td
(E)Tj
/F8 1 Tf
0.792 0 Td
(.)Tj
/F17 1 Tf
-15.4 -1.826 TD
[(Corolario)-385(13)]TJ
/F8 1 Tf
6.941 0 Td
[(El)-330(conjun)33(to)-341(de)-330(precios)-330(de)-330(equilibrio)-341(regular)-330(de)-330(una)-330(econom)110<13>]TJ
25.751 0 Td
<1061>Tj
/F13 1 Tf
1.111 0 Td
(E)Tj
/F8 1 Tf
0.957 0 Td
[(es)-330(discreto.)]TJ
/F17 1 Tf
-34.75999 -1.826 TD
[(Prop)-33(osici\023)572(on)-385(14)]TJ
/F8 1 Tf
8.085 0 Td
[(Si)-308(la)-319(econom)110<13>385<1061>]TJ
/F13 1 Tf
6.6 0 Td
(E)Tj
/F8 1 Tf
0.935 0 Td
[(es)-308(regular,)-319(el)-319(conjun)33(to)-319(de)-319(precios)-319(de)-308(equilibrio)-319(es)-319(\fnito.)]TJ
/F17 1 Tf
-15.62 -1.265 TD
(Prueba)Tj
/F8 1 Tf
4.378 0 Td
[(P)33(or)-363(el)-363(corolario)-374(13)-363(tal)-363(conjun)33(to)-352(es)-363(discreto)-363(y)-352(p)-33(or)-341(la)-363(prop)-33(osici\023)495(on)-352(11)-363(es)-352(compacto,)]TJ
-4.378 -1.232 TD
[(luego)-341(deb)-33(e)-330(ser)-330(\fnito.)]TJ
/F17 1 Tf
0 -1.837 TD
[(Lema)-363(15)]TJ
/F8 1 Tf
4.928 0 Td
(Sea)Tj
/F12 1 Tf
1.815 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 151.08 120.12 Tm
(m)Tj
/F13 1 Tf
10.90909 0 0 10.90909 162 121.8 Tm
-0.165 Tc
<0021>Tj
/F12 1 Tf
1.892 0 Td
0 Tc
(p)Tj
/F8 1 Tf
0.814 0 Td
[(una)-308(secuencia)-330(con)33(v)33(ergen)33(te)-341(de)-319(pun)33(tos)-308(en)]TJ
/F12 1 Tf
17.6 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 390.84 126.48 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 404.76 121.8 Tm
(,)Tj
/F12 1 Tf
0.594 0 Td
(p)Tj
/F13 1 Tf
0.781 0 Td
(6)Tj
/F8 1 Tf
[(=)-275(0)-319(en)-308(la)-319(fron)33(tera)]TJ
-31.878 -1.353 TD
[(top)-33(ol\023)495(ogica)-440(de)]TJ
/F12 1 Tf
6.292 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 147.96 111.72 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 166.32 107.04 Tm
(y)Tj
/F12 1 Tf
0.935 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 192.84 105.36 Tm
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 200.76 107.04 Tm
(\))Tj
/F12 1 Tf
0.385 0 Td
(=)Tj
/F13 1 Tf
0.495 0 Td
(k)Tj
/F12 1 Tf
0.495 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 232.08 105.36 Tm
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 240.12 107.04 Tm
(\))Tj
/F13 1 Tf
0.418 Tc
[<6B00>594(!)]TJ
/F12 1 Tf
3.311 0 Td
0 Tc
(z)Tj
/F8 1 Tf
0.506 0 Td
[(,)-418(en)33(tonces)]TJ
/F12 1 Tf
4.796 0 Td
(z)Tj
/F13 1 Tf
0.913 0 Td
<15>Tj
/F8 1 Tf
1.177 0 Td
[(0,)-418<6D13>495(as)-407(a)-33<13>528(un)-407(si)]TJ
/F12 1 Tf
6.424 0 Td
(z)Tj
/F15 1 Tf
7.97011 0 0 7.97011 432 105.36 Tm
(j)Tj
/F12 1 Tf
10.90909 0 0 10.90909 440.88 107.04 Tm
(>)Tj
/F8 1 Tf
1.177 0 Td
[(0)-418(en)33(tonces)]TJ
/F12 1 Tf
-34.991 -1.243 TD
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 77.52 91.8 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 84.96 93.48 Tm
0.264 Tc
[(=0)264(.)]TJ
ET
endstream
endobj
15 0 obj
<<
/Length 33563
>>
stream
/GS4 gs
BT
/F11 1 Tf
10.90909 0 0 10.90909 181.8 722.16 Tm
0 g
[(equilibrio)-374(w)88(alrasiano)-363(en)-363(econom)]TJ
16.731 0.088 TD
<13>Tj
0.121 -0.088 TD
[(\020as)-363(de)-374(inter)22(cambio)]TJ
/F8 1 Tf
15.576 0 Td
(13)Tj
/F17 1 Tf
-38.59899 -3.278 TD
(Prueba)Tj
/F8 1 Tf
4.378 0 Td
[(Sab)-33(emos)-341(de)-352(parte)-352((iv))-352(de)-352(la)-363(prop)-33(osici\023)495(on)-341(2)-352(que)]TJ
/F13 1 Tf
20.603 0 Td
(k)Tj
/F12 1 Tf
(f)Tj
/F8 1 Tf
1.1 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 408.72 684.72 Tm
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 416.64 686.4 Tm
(\))Tj
/F13 1 Tf
0.132 Tc
[<6B00>286(!1)]TJ
/F8 1 Tf
3.773 0 Td
0 Tc
[(,)-352(cuando)]TJ
/F12 1 Tf
4.092 0 Td
(m)Tj
/F13 1 Tf
1.012 0 Td
-0.165 Tc
[<0021>-297(1)]TJ
/F12 1 Tf
2.75 0 Td
0 Tc
(:)Tj
/F8 1 Tf
-39.32499 -1.243 TD
[(P)33(or)-506(otro)-506(lado,)-506(para)-495(to)-33(do)]TJ
/F12 1 Tf
11.836 0 Td
(q)Tj
/F13 1 Tf
1.034 0 Td
(2)Tj
/F12 1 Tf
1.21 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 278.52 676.8 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 292.08 672.84 Tm
(,)Tj
/F12 1 Tf
0.77 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(q)Tj
/F8 1 Tf
0.869 0 Td
(\))Tj
/F12 1 Tf
0.935 0 Td
(>)Tj
/F13 1 Tf
1.331 0 Td
<00>Tj
/F14 1 Tf
0.946 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 363 677.88 Tm
(n)Tj
0 -1.03888 TD
(t)Tj
/F4 1 Tf
0.37641 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 379.2 672.84 Tm
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 387 671.16 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 390.6 672.84 Tm
[(,)-495(en)33(tonces)-517(para)-495(to)-33(do)]TJ
/F12 1 Tf
9.878 0 Td
(j)Tj
/F8 1 Tf
0.968 0 Td
[(se)-495(tiene)]TJ
-36.15699 -1.386 TD
(que)Tj
/F12 1 Tf
1.881 0 Td
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 141.6 661.6801 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 145.92 657.72 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 155.64 656.04 Tm
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 163.68 657.72 Tm
(\))Tj
/F12 1 Tf
0.693 0 Td
(>)Tj
/F13 1 Tf
1.089 0 Td
<00>Tj
/F14 1 Tf
0.946 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 204.96 662.76 Tm
(n)Tj
0 -1.03888 TD
(t)Tj
/F4 1 Tf
0.37641 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 221.04 657.72 Tm
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 229.08 663 Tm
(j)Tj
-0.03011 -1.02382 TD
(t)Tj
/F12 1 Tf
10.90909 0 0 10.90909 233.64 657.72 Tm
(;)Tj
/F8 1 Tf
0.627 0 Td
(luego)Tj
/F12 1 Tf
2.629 0 Td
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 275.76 661.6801 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 280.08 657.72 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 289.8 656.04 Tm
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 297.72 657.72 Tm
(\))Tj
/F12 1 Tf
0.385 0 Td
(=)Tj
/F13 1 Tf
0.495 0 Td
(k)Tj
/F12 1 Tf
0.495 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 329.04 656.04 Tm
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 337.08 657.72 Tm
(\))Tj
/F13 1 Tf
0.385 0 Td
(k)Tj
/F12 1 Tf
0.814 0 Td
(>)Tj
/F13 1 Tf
1.089 0 Td
<00>Tj
/F14 1 Tf
0.946 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 383.88 662.76 Tm
(n)Tj
0 -1.03888 TD
(t)Tj
/F4 1 Tf
0.37641 0 Td
(=1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 400.08 657.72 Tm
(w)Tj
/F15 1 Tf
7.97011 0 0 7.97011 408.12 663 Tm
(j)Tj
-0.03011 -1.02382 TD
(t)Tj
/F12 1 Tf
10.90909 0 0 10.90909 412.56 657.72 Tm
(=)Tj
/F13 1 Tf
(k)Tj
/F12 1 Tf
0.99 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 439.68 656.04 Tm
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 447.72 657.72 Tm
(\))Tj
/F13 1 Tf
(k)Tj
/F8 1 Tf
[(,)-363(pasando)-341(al)-363(l)110<13>]TJ
6.831 0 Td
(\020mite)Tj
/F12 1 Tf
-37.37799 -1.24299 TD
(z)Tj
/F15 1 Tf
7.97011 0 0 7.97011 119.52 642.48 Tm
(j)Tj
/F13 1 Tf
10.90909 0 0 10.90909 128.04 644.16 Tm
<15>Tj
/F8 1 Tf
1.144 0 Td
(0)Tj
/F12 1 Tf
0.495 0 Td
(:)Tj
/F8 1 Tf
0.671 0 Td
(Como)Tj
/F12 1 Tf
2.937 0 Td
(z)Tj
/F13 1 Tf
0.88 0 Td
(6)Tj
/F8 1 Tf
[(=)-363(0)-396(se)-385(tiene)]TJ
/F12 1 Tf
5.764 0 Td
(z)Tj
/F13 1 Tf
0.869 0 Td
<15>Tj
/F8 1 Tf
1.155 0 Td
(0)Tj
/F12 1 Tf
(:)Tj
/F8 1 Tf
1.155 0 Td
[(Sup)-33(onga)-385(que)]TJ
/F12 1 Tf
6.061 0 Td
(z)Tj
/F15 1 Tf
7.97011 0 0 7.97011 363.6 642.48 Tm
(j)Tj
/F12 1 Tf
10.90909 0 0 10.90909 372 644.16 Tm
(>)Tj
/F8 1 Tf
1.144 0 Td
[(0,)-396(como)]TJ
/F12 1 Tf
3.828 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 442.56 642.48 Tm
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 450.48 644.16 Tm
(\))Tj
/F13 1 Tf
0.649 0 Td
<01>Tj
/F12 1 Tf
0.539 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 468.96 642.48 Tm
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 480.96 644.16 Tm
[(=)-363(0,)-396(en)33(tonces)]TJ
-33.59399 -1.24299 TD
(\()Tj
/F12 1 Tf
0.385 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 135 628.92 Tm
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 143.04 630.6 Tm
(\))Tj
/F12 1 Tf
0.385 0 Td
(=)Tj
/F13 1 Tf
0.495 0 Td
(k)Tj
/F12 1 Tf
0.495 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 174.36 628.92 Tm
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 182.4 630.6 Tm
(\))Tj
/F13 1 Tf
0.385 0 Td
(k)Tj
/F8 1 Tf
0.495 0 Td
(\))Tj
/F13 1 Tf
0.495 0 Td
<01>Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 207.12 628.92 Tm
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 218.28 630.6 Tm
[(=)-275(0,)-286(pasando)-275(al)-286(l)110<13>]TJ
7.282 0 Td
(\020mite)Tj
/F12 1 Tf
2.508 0 Td
(z)Tj
/F13 1 Tf
0.616 0 Td
<01>Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.792 0 Td
[(=)-275(0.)-286(Dado)-286(que)-275(para)-275(to)-33(do)]TJ
/F12 1 Tf
10.989 0 Td
(i)Tj
/F8 1 Tf
(,)Tj
/F12 1 Tf
0.902 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 479.88 628.92 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 486.24 630.6 Tm
<15>Tj
/F8 1 Tf
1.056 0 Td
0.286 Tc
(0y)Tj
/F12 1 Tf
1.584 0 Td
0 Tc
(z)Tj
/F15 1 Tf
7.97011 0 0 7.97011 520.08 628.92 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 526.56 630.6 Tm
<15>Tj
/F8 1 Tf
1.056 0 Td
(0,)Tj
-38.82999 -1.243 TD
[(en)33(tonces)-682(0)]TJ
/F13 1 Tf
5.148 0 Td
<14>Tj
/F12 1 Tf
1.056 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 187.68 615.36 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 195 617.04 Tm
(=)Tj
/F13 1 Tf
1.056 0 Td
<00>Tj
/F14 1 Tf
0.946 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 228.36 613.8 Tm
(k)Tj
/F16 1 Tf
0.58719 0 Td
(6)Tj
/F4 1 Tf
(=)Tj
/F15 1 Tf
0.82809 0 Td
(j)Tj
0.91843 1.02382 TD
(p)Tj
/F18 1 Tf
5.97758 0 0 5.97758 251.28 620.52 Tm
(k)Tj
/F15 1 Tf
7.97011 0 0 7.97011 255.84 621.96 Tm
(z)Tj
/F18 1 Tf
5.97758 0 0 5.97758 259.8 620.52 Tm
(k)Tj
ET
q
17.4 0 0 -0.48 246.948 620.028 cm
/Im1 Do
Q
BT
/F15 1 Tf
7.97011 0 0 7.97011 251.76 613.32 Tm
(z)Tj
/F18 1 Tf
5.97758 0 0 5.97758 255.72 612.12 Tm
(j)Tj
/F13 1 Tf
10.90909 0 0 10.90909 268.56 617.04 Tm
<14>Tj
/F8 1 Tf
1.056 0 Td
[(0,)-341(luego)]TJ
/F12 1 Tf
3.718 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 326.16 615.36 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 333.6 617.04 Tm
0.275 Tc
(=0)Tj
/F12 1 Tf
1.551 0 Td
0 Tc
(:)Tj
/F8 1 Tf
-20.08599 -2.024 TD
(Sea)Tj
/F12 1 Tf
1.914 0 Td
(e)Tj
/F8 1 Tf
0.869 0 Td
0.396 Tc
[(=\()396(1)]TJ
/F12 1 Tf
2.057 0 Td
0.165 Tc
[(;:::)-22(;)]TJ
/F8 1 Tf
2.222 0 Td
0 Tc
[(1\),)-429(de\fna)]TJ
/F12 1 Tf
4.598 0 Td
(h)Tj
/F8 1 Tf
0.572 0 Td
(:)Tj
/F12 1 Tf
0.44 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 276.96 599.64 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F13 1 Tf
10.90909 0 0 10.90909 295.44 594.96 Tm
-0.176 Tc
<0021>Tj
/F12 1 Tf
2.013 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 327.84 598.92 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 335.28 594.96 Tm
[(tal)-418(que)]TJ
/F12 1 Tf
3.509 0 Td
(h)Tj
/F8 1 Tf
0.572 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.407 Tc
(\)=\()Tj
/F12 1 Tf
3.256 0 Td
0 Tc
(e)Tj
/F13 1 Tf
0.737 0 Td
<00>Tj
/F8 1 Tf
1.045 0 Td
(\()Tj
/F12 1 Tf
(e)Tj
/F13 1 Tf
1.133 0 Td
<01>Tj
/F12 1 Tf
0.55 0 Td
(p)Tj
/F8 1 Tf
(\))Tj
/F13 1 Tf
1.155 0 Td
<01>Tj
/F12 1 Tf
0.55 0 Td
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
(=)Tj
/F13 1 Tf
1.386 0.72601 TD
(p)Tj
ET
q
6.6 0 0 -0.48 496.068 603.348 cm
/Im1 Do
Q
BT
/F12 1 Tf
10.90909 0 0 10.90909 496.08 594.96 Tm
(n)Tj
/F8 1 Tf
0.594 0 Td
(,)Tj
/F12 1 Tf
0.693 0 Td
(h)Tj
/F8 1 Tf
0.979 0 Td
[(es)-407(un)]TJ
-37.24599 -1.84799 TD
[(camp)-33(o)-286(v)33(ectorial)-319(tangen)33(te)-297(en)]TJ
/F12 1 Tf
12.474 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 257.88 579.36 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 271.8 574.8 Tm
[(,)-286(dado)-286(que)]TJ
/F12 1 Tf
4.763 0 Td
(h)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
0.957 0 Td
(p)Tj
/F8 1 Tf
(\))Tj
/F13 1 Tf
1.012 0 Td
<01>Tj
/F12 1 Tf
0.396 0 Td
(p)Tj
/F8 1 Tf
0.803 0 Td
(=)Tj
1.166 0.682 TD
(\()Tj
/F12 1 Tf
0.385 0 Td
(e)Tj
/F13 1 Tf
0.682 0 Td
<01>Tj
/F12 1 Tf
0.506 0 Td
(p)Tj
/F8 1 Tf
0.506 0 Td
(\))Tj
/F13 1 Tf
0.605 0 Td
<00>Tj
/F8 1 Tf
1.001 0 Td
(\()Tj
/F12 1 Tf
(e)Tj
/F13 1 Tf
1.078 0 Td
<01>Tj
/F12 1 Tf
0.495 0 Td
(p)Tj
/F8 1 Tf
0.506 0 Td
(\))Tj
ET
q
67.2 0 0 -0.48 371.028 577.788 cm
/Im1 Do
Q
BT
/F13 1 Tf
10.90909 0 0 10.90909 396.72 575.16 Tm
(p)Tj
ET
q
6.6 0 0 -0.48 405.828 575.628 cm
/Im1 Do
Q
BT
/F12 1 Tf
10.90909 0 0 10.90909 405.84 567.2401 Tm
(n)Tj
/F8 1 Tf
3.355 0.693 TD
0.275 Tc
[(=0)-11(y)]TJ
/F12 1 Tf
2.651 0 Td
0 Tc
(h)Tj
/F8 1 Tf
0.572 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
[(\))-286(claramen)33(te)]TJ
-33.28599 -1.947 TD
[(apun)33(ta)-341(en)-330(la)-341(direcci\023)495(on)-341(a)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 238.32 557.88 Tm
(e)Tj
ET
q
12.24 0 0 -0.48 234.228 556.548 cm
/Im1 Do
Q
BT
/F16 1 Tf
7.97011 0 0 7.97011 234.24 554.88 Tm
(p)Tj
ET
q
5.16 0 0 -0.36 241.308 555.228 cm
/Im1 Do
Q
BT
/F15 1 Tf
7.97011 0 0 7.97011 241.32 549.12 Tm
(n)Tj
/F13 1 Tf
10.90909 0 0 10.90909 250.68 553.56 Tm
(2)Tj
/F12 1 Tf
0.946 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 268.32 558.12 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F12 1 Tf
10.90909 0 0 10.90909 282.24 553.56 Tm
(:)Tj
/F8 1 Tf
-13.827 -3.454 TD
[(Denote)-352(p)-33(or)]TJ
/F12 1 Tf
5.247 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 195.36 514.2 Tm
<0F>Tj
/F8 1 Tf
10.90909 0 0 10.90909 202.8 515.88 Tm
[(el)-341(conjun)33(to)]TJ
/F13 1 Tf
5.17 0 Td
(f)Tj
/F12 1 Tf
(p)Tj
/F13 1 Tf
1.287 0 Td
(2)Tj
/F12 1 Tf
0.935 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 290.76 520.44 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F12 1 Tf
10.90909 0 0 10.90909 304.8 515.88 Tm
(=)Tj
/F8 1 Tf
0.825 0 Td
[(para)-341(to)-33(do)]TJ
/F12 1 Tf
4.587 0 Td
[(j;)-737(p)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 384.84 514.2 Tm
(j)Tj
/F13 1 Tf
10.90909 0 0 10.90909 392.16 515.88 Tm
<15>Tj
/F12 1 Tf
1.056 0 Td
<0F>Tj
/F13 1 Tf
0.407 0 Td
(g)Tj
/F8 1 Tf
0.495 0 Td
(.)Tj
/F17 1 Tf
-27.41199 -3.113 TD
[(Prop)-33(osici\023)572(on)-429(16)]TJ
/F8 1 Tf
8.217 0 Td
[(P)33(ara)]TJ
/F12 1 Tf
2.398 0 Td
0.308 Tc
<0F3E>Tj
/F8 1 Tf
1.804 0 Td
0 Tc
[(0)-352(p)-33(eque)-33(~)528(no,)-352(las)-363(funciones)]TJ
/F12 1 Tf
11 0 Td
(f)Tj
/F8 1 Tf
0.957 0 Td
(y)Tj
/F12 1 Tf
0.88 0 Td
(h)Tj
/F8 1 Tf
0.924 0 Td
[(son)-352(homot\023)495(opicas)-374(en)-352(el)-352(comple-)]TJ
-26.17999 -1.243 TD
[(men)33(to)-385(de)]TJ
/F12 1 Tf
4.433 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 169.56 466.68 Tm
<0F>Tj
/F8 1 Tf
10.90909 0 0 10.90909 177.48 468.36 Tm
(en)Tj
/F12 1 Tf
1.375 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 199.8 472.92 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 213.72 468.36 Tm
[(,)-374<6D13>495(as)-363(a)-33<13>]TJ
3.234 0 Td
(un)Tj
/F12 1 Tf
1.485 0 Td
<0B66>Tj
/F8 1 Tf
1.243 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.253 Tc
[(\)+)11(\()253(1)]TJ
/F13 1 Tf
3.3 0 Td
0 Tc
<00>Tj
/F12 1 Tf
1.023 0 Td
<0B>Tj
/F8 1 Tf
0.638 0 Td
(\))Tj
/F12 1 Tf
(h)Tj
/F8 1 Tf
0.957 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\))Tj
/F13 1 Tf
1.639 0 Td
(6)Tj
/F8 1 Tf
[(=)-330(0)-374(para)-363(to)-33(do)]TJ
/F12 1 Tf
6.633 0 Td
(p)Tj
/F13 1 Tf
0.847 0 Td
(2)Tj
/F12 1 Tf
1.001 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 465.24 472.92 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 483.24 468.36 Tm
[(fuera)-363(de)]TJ
/F12 1 Tf
3.927 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 532.8 466.68 Tm
<0F>Tj
/F8 1 Tf
10.90909 0 0 10.90909 540.72 468.36 Tm
(y)Tj
-39.07199 -1.243 TD
(0)Tj
/F13 1 Tf
0.781 0 Td
<14>Tj
/F12 1 Tf
1.056 0 Td
<0B>Tj
/F13 1 Tf
0.924 0 Td
<14>Tj
/F8 1 Tf
1.056 0 Td
(1.)Tj
/F17 1 Tf
-3.817 -1.683 TD
(Prueba)Tj
/F8 1 Tf
4.51 0 Td
[(Es)-407(su\fcien)33(te)-407(probar)-407(que)]TJ
/F12 1 Tf
11.165 0 Td
<0B66>Tj
/F8 1 Tf
1.243 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.275 Tc
[(\)+)11(\()275(1)]TJ
/F13 1 Tf
3.377 0 Td
0 Tc
<00>Tj
/F12 1 Tf
1.045 0 Td
<0B>Tj
/F8 1 Tf
0.638 0 Td
(\))Tj
/F12 1 Tf
(h)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
1.848 0 Td
(\))Tj
/F13 1 Tf
0.814 0 Td
(6)Tj
/F8 1 Tf
[(=)-396(0)-418(en)-407(el)-418(complemen)33(to)-429(de)]TJ
/F12 1 Tf
12.199 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 527.28 434.76 Tm
<0F>Tj
/F8 1 Tf
10.90909 0 0 10.90909 535.56 436.44 Tm
(en)Tj
/F12 1 Tf
-38.59899 -1.76 TD
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 121.8 421.8 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 135.72 417.24 Tm
[(,)-308(para)]TJ
/F12 1 Tf
2.838 0 Td
<0F>Tj
/F8 1 Tf
0.715 0 Td
[(p)-33(eque)-33(~)528(no,)-297(y)33(a)-319(que)]TJ
/F12 1 Tf
7.326 0 Td
(H)Tj
/F8 1 Tf
0.913 0 Td
(\()Tj
/F12 1 Tf
[(p;)-165<0B>]TJ
/F8 1 Tf
0.297 Tc
(\)=)Tj
/F12 1 Tf
4.312 0.671 TD
0 Tc
<0B66>Tj
/F8 1 Tf
1.243 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.231 Tc
[(\)+)11(\()231(1)]TJ
/F13 1 Tf
3.619 0 Td
0 Tc
<00>Tj
/F12 1 Tf
1.001 0 Td
<0B>Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
(h)Tj
/F8 1 Tf
1.595 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\))Tj
ET
q
106.32001 0 0 -0.48 305.988 420.228 cm
/Im1 Do
Q
BT
/F13 1 Tf
10.90909 0 0 10.90909 306 409.68 Tm
(k)Tj
/F12 1 Tf
0.495 0 Td
<0B66>Tj
/F8 1 Tf
1.243 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
0.231 Tc
[(\)+)11(\()231(1)]TJ
/F13 1 Tf
3.234 0 Td
0 Tc
<00>Tj
/F12 1 Tf
1.001 0 Td
<0B>Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
(h)Tj
/F8 1 Tf
1.595 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
(\))Tj
/F13 1 Tf
(k)Tj
/F8 1 Tf
2.2 0.693 TD
[(de\fne)-297(una)-308(homotop)110<13>]TJ
8.613 0 Td
[<1061>-319(en)33(tre)]TJ
/F12 1 Tf
-36.32199 -1.727 TD
(f)Tj
/F8 1 Tf
0.935 0 Td
(y)Tj
/F12 1 Tf
0.858 0 Td
(h)Tj
/F8 1 Tf
(.)Tj
-0.242 -1.683 TD
[(Sup)-33(onga)-407(p)-33(or)-396(con)33(tradicci\023)495(on,)-440(que)-407(para)-418(to)-33(do)]TJ
/F12 1 Tf
19.239 0 Td
(n)Tj
/F8 1 Tf
1.012 0 Td
[(en)33(tero)-418(p)-33(ositiv)33(o)-429(existe)]TJ
/F12 1 Tf
9.834 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 465.12 378.36 Tm
(n)Tj
/F13 1 Tf
10.90909 0 0 10.90909 475.2 380.04 Tm
(2)Tj
/F12 1 Tf
1.067 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 494.16 384.6 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 512.64 380.04 Tm
[(tal)-418(que)]TJ
/F12 1 Tf
-36.49799 -1.243 TD
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 120 364.8 Tm
(n)Tj
/F13 1 Tf
10.90909 0 0 10.90909 130.32 366.48 Tm
(62)Tj
/F12 1 Tf
1.089 0 Td
(S)Tj
/F4 1 Tf
7.97011 0 0 7.97011 148.92 364.32 Tm
(1)Tj
/F15 1 Tf
0.52697 0 Td
(=n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 167.64 366.48 Tm
(y)Tj
/F12 1 Tf
0.946 0 Td
<0B66>Tj
/F8 1 Tf
1.243 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 201.24 364.8 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 206.88 366.48 Tm
0.286 Tc
[(\)+)11(\()286(1)]TJ
/F13 1 Tf
2.904 0 Td
0 Tc
<00>Tj
/F12 1 Tf
1.056 0 Td
<0B>Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
1.023 0 Td
(h)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
0.957 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 277.2 364.8 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 282.96 366.48 Tm
[(\))-429(=)-429(0.)-429(Como)]TJ
/F13 1 Tf
6.193 0 Td
(k)Tj
/F12 1 Tf
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 361.44 364.8 Tm
(n)Tj
/F13 1 Tf
10.90909 0 0 10.90909 367.08 366.48 Tm
(k)Tj
/F8 1 Tf
0.935 0 Td
[(=)-418(1,)-429(p)-33(o)-33(demos)-407(sup)-33(oner)-407(que)]TJ
/F12 1 Tf
12.452 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 518.64 364.8 Tm
(n)Tj
/F13 1 Tf
10.90909 0 0 10.90909 528.96 366.48 Tm
-0.176 Tc
<0021>Tj
/F12 1 Tf
-37.99399 -1.606 TD
0 Tc
(p)Tj
/F13 1 Tf
0.968 0 Td
(2)Tj
ET
q
21.36 0 0 -0.48 137.268 360.948 cm
/Im1 Do
Q
BT
/F12 1 Tf
10.90909 0 0 10.90909 137.28 348.96 Tm
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 144.6 353.64 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 163.32 348.96 Tm
[(y)-440(como)]TJ
/F12 1 Tf
3.685 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 209.04 347.28 Tm
(n)Tj
/F13 1 Tf
10.90909 0 0 10.90909 219.6 348.96 Tm
(62)Tj
/F12 1 Tf
1.122 0 Td
(S)Tj
/F4 1 Tf
7.97011 0 0 7.97011 238.56 346.8 Tm
(1)Tj
/F15 1 Tf
0.52697 0 Td
(=n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 252.72 348.96 Tm
[(,)-440(tenemos)-451(que)-440(0)]TJ
/F12 1 Tf
7.634 0 Td
(<)Tj
/F8 1 Tf
1.243 0 Td
-0.11 Tc
<6D13>Tj
0.836 0 Td
0 Tc
<106E>Tj
/F13 1 Tf
0.825 0 Td
(f)Tj
/F12 1 Tf
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 378.6 354.36 Tm
(j)Tj
0 -0.84315 TD
(n)Tj
/F12 1 Tf
10.90909 0 0 10.90909 384.24 348.96 Tm
(=)Tj
/F8 1 Tf
0.495 0 Td
(1)Tj
/F13 1 Tf
0.968 0 Td
<14>Tj
/F12 1 Tf
1.232 0 Td
(j)Tj
/F13 1 Tf
0.924 0 Td
<14>Tj
/F12 1 Tf
1.232 0 Td
(l)Tj
/F13 1 Tf
0.319 0 Td
(g)Tj
/F12 1 Tf
0.957 0 Td
(<)Tj
/F8 1 Tf
1.232 0 Td
(1)Tj
/F12 1 Tf
(=n)Tj
/F8 1 Tf
[(,)-451(luego)]TJ
/F12 1 Tf
5.038 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 525 347.28 Tm
(j)Tj
/F9 1 Tf
5.97758 0 0 5.97758 528.48 346.2 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 538.08 348.96 Tm
(=)Tj
-38.82999 -1.441 TD
-0.11 Tc
<6D13>Tj
0.836 0 Td
0 Tc
<106E>Tj
/F13 1 Tf
0.836 0 Td
(f)Tj
/F12 1 Tf
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 143.64 331.56 Tm
(j)Tj
/F12 1 Tf
10.90909 0 0 10.90909 148.08 333.24 Tm
(=)Tj
/F8 1 Tf
0.495 0 Td
(1)Tj
/F13 1 Tf
0.869 0 Td
<14>Tj
/F12 1 Tf
1.144 0 Td
(j)Tj
/F13 1 Tf
0.836 0 Td
<14>Tj
/F12 1 Tf
1.144 0 Td
(l)Tj
/F13 1 Tf
0.319 0 Td
(g)Tj
/F8 1 Tf
0.869 0 Td
0.363 Tc
[(=l)473<13>]TJ
1.419 0 Td
0 Tc
<106D>Tj
/F15 1 Tf
7.97011 0 0 7.97011 237.6 331.56 Tm
(n)Tj
/F16 1 Tf
0.64742 0 Td
(!1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 261.96 333.24 Tm
-0.11 Tc
<6D13>Tj
0.836 0 Td
0 Tc
<106E>Tj
/F13 1 Tf
0.836 0 Td
(f)Tj
/F12 1 Tf
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 291.12 338.52 Tm
(j)Tj
0 -0.84315 TD
(n)Tj
/F12 1 Tf
10.90909 0 0 10.90909 296.76 333.24 Tm
(=)Tj
/F8 1 Tf
0.495 0 Td
(1)Tj
/F13 1 Tf
0.869 0 Td
<14>Tj
/F12 1 Tf
1.144 0 Td
(j)Tj
/F13 1 Tf
0.836 0 Td
<14>Tj
/F12 1 Tf
1.144 0 Td
(l)Tj
/F13 1 Tf
0.319 0 Td
(g)Tj
/F8 1 Tf
[(=0)-396(y)-385(en)33(tonces)]TJ
/F12 1 Tf
7.172 0 Td
(p)Tj
/F8 1 Tf
0.891 0 Td
[(p)-33(ertenece)-385(a)-396(la)-396(fron)33(tera)]TJ
-29.57899 -1.243 TD
[(top)-33(ol\023)495(ogica)-495(de)]TJ
/F12 1 Tf
6.413 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 191.76 324.24 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 210.72 319.68 Tm
[(y)-473(p)-33(or)-451(el)-473(lema)-484(15,)]TJ
/F12 1 Tf
8.393 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 318.6 318 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 324.24 319.68 Tm
(\))Tj
/F12 1 Tf
0.385 0 Td
(=)Tj
/F13 1 Tf
0.495 0 Td
(k)Tj
/F12 1 Tf
0.495 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 355.56 318 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 361.2 319.68 Tm
(\))Tj
/F13 1 Tf
0.506 Tc
[<6B00>671(!)]TJ
/F12 1 Tf
3.498 0 Td
0 Tc
(z)Tj
/F13 1 Tf
1.012 0 Td
<15>Tj
/F8 1 Tf
1.276 0 Td
[(0.)-473(Sea)]TJ
/F12 1 Tf
3.212 0 Td
(j)Tj
/F8 1 Tf
0.935 0 Td
[(tal)-484(que)]TJ
/F12 1 Tf
3.63 0 Td
(z)Tj
/F15 1 Tf
7.97011 0 0 7.97011 514.2 318 Tm
(j)Tj
/F12 1 Tf
10.90909 0 0 10.90909 524.04 319.68 Tm
(>)Tj
/F8 1 Tf
1.287 0 Td
(0,)Tj
-38.82999 -1.243 TD
[(en)33(tonces)]TJ
/F12 1 Tf
4.202 0 Td
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 166.92 310.08 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 171.24 306.12 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 180.96 304.44 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 186.6 306.12 Tm
(\))Tj
/F12 1 Tf
0.385 0 Td
(=)Tj
/F13 1 Tf
0.495 0 Td
(k)Tj
/F12 1 Tf
0.495 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 217.92 304.44 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 223.56 306.12 Tm
(\))Tj
/F13 1 Tf
0.561 Tc
[<6B00>737(!)]TJ
/F12 1 Tf
3.597 0 Td
0 Tc
(z)Tj
/F15 1 Tf
7.97011 0 0 7.97011 267.84 304.44 Tm
(j)Tj
/F12 1 Tf
10.90909 0 0 10.90909 278.28 306.12 Tm
(>)Tj
/F8 1 Tf
1.32 0 Td
[(0)-506(y)-495(existe)]TJ
/F12 1 Tf
4.994 0 Td
(n)Tj
/F4 1 Tf
7.97011 0 0 7.97011 353.76 304.44 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 363.84 306.12 Tm
[(en)33(tero)-506(p)-33(ositiv)33(o)-506(tal)-506(que)-495(para)]TJ
/F12 1 Tf
13.233 0 Td
(n)Tj
/F13 1 Tf
1.155 0 Td
<15>Tj
/F12 1 Tf
1.32 0 Td
(n)Tj
/F4 1 Tf
7.97011 0 0 7.97011 541.8 304.44 Tm
(0)Tj
/F12 1 Tf
10.90909 0 0 10.90909 114.48 292.56 Tm
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 121.08 296.52 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 125.4 292.56 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 135.12 290.88 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 140.76 292.56 Tm
(\))Tj
/F12 1 Tf
0.385 0 Td
(=)Tj
/F13 1 Tf
0.495 0 Td
(k)Tj
/F12 1 Tf
0.495 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 172.08 290.88 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 177.84 292.56 Tm
(\))Tj
/F13 1 Tf
0.385 0 Td
(k)Tj
/F12 1 Tf
0.88 0 Td
0.374 Tc
(>z)Tj
/F15 1 Tf
7.97011 0 0 7.97011 209.28 290.88 Tm
0 Tc
(j)Tj
/F12 1 Tf
10.90909 0 0 10.90909 213.72 292.56 Tm
(=)Tj
/F8 1 Tf
0.495 0 Td
(2)Tj
/F12 1 Tf
0.891 0 Td
(>)Tj
/F8 1 Tf
1.155 0 Td
[(0,)-407(luego)]TJ
/F12 1 Tf
3.85 0 Td
(f)Tj
/F15 1 Tf
7.97011 0 0 7.97011 290.04 296.52 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 294.24 292.56 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 303.96 290.88 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 309.6 292.56 Tm
(\))Tj
/F12 1 Tf
0.77 0 Td
(>)Tj
/F8 1 Tf
1.166 0 Td
(0)Tj
/F12 1 Tf
0.495 0 Td
(:)Tj
/F8 1 Tf
0.671 0 Td
(Como)Tj
/F12 1 Tf
2.948 0 Td
(z)Tj
/F15 1 Tf
7.97011 0 0 7.97011 380.64 290.88 Tm
(j)Tj
/F12 1 Tf
10.90909 0 0 10.90909 389.28 292.56 Tm
(>)Tj
/F8 1 Tf
1.155 0 Td
[(0)-396(p)-33(or)-385(lema)-407(15,)]TJ
/F12 1 Tf
6.886 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 482.52 290.88 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 491.04 292.56 Tm
[(=)-374(0)-407(y)-385(dado)]TJ
-34.51799 -1.639 TD
(que)Tj
/F12 1 Tf
1.892 0 Td
(h)Tj
/F15 1 Tf
7.97011 0 0 7.97011 141.36 278.64 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 145.8 274.68 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 155.52 273 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 161.16 274.68 Tm
0.33 Tc
(\)=)Tj
/F4 1 Tf
7.97011 0 0 7.97011 182.16 280.56 Tm
0 Tc
(1)Tj
/F16 1 Tf
0.52697 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(\()Tj
/F20 1 Tf
0.40652 0.75281 TD
(P)Tj
/F18 1 Tf
5.97758 0 0 5.97758 205.2 278.04 Tm
(i)Tj
/F15 1 Tf
7.97011 0 0 7.97011 209.76 280.56 Tm
(p)Tj
/F18 1 Tf
5.97758 0 0 5.97758 214.08 283.32 Tm
(i)Tj
0 -0.803 TD
(n)Tj
/F4 1 Tf
7.97011 0 0 7.97011 219.12 280.56 Tm
(\))Tj
/F15 1 Tf
0.40652 0 Td
(p)Tj
/F18 1 Tf
5.97758 0 0 5.97758 226.68 284.4 Tm
(j)Tj
0 -0.86323 TD
(n)Tj
ET
q
49.68 0 0 -0.48 182.148 277.668 cm
/Im1 Do
Q
BT
/F16 1 Tf
7.97011 0 0 7.97011 200.88 276 Tm
(p)Tj
ET
q
5.16 0 0 -0.36 207.828 276.348 cm
/Im1 Do
Q
BT
/F15 1 Tf
7.97011 0 0 7.97011 207.84 270.24 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 232.92 274.68 Tm
(,)Tj
/F12 1 Tf
0.968 0 Td
(h)Tj
/F15 1 Tf
7.97011 0 0 7.97011 249.72 278.64 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 254.04 274.68 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 263.76 273 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 269.52 274.68 Tm
(\))Tj
/F13 1 Tf
0.704 0 Td
-0.165 Tc
<0021>Tj
/F4 1 Tf
7.97011 0 0 7.97011 303.48 279 Tm
0 Tc
(1)Tj
ET
q
12.24 0 0 -0.48 299.508 277.668 cm
/Im1 Do
Q
BT
/F16 1 Tf
7.97011 0 0 7.97011 299.52 276 Tm
(p)Tj
ET
q
5.16 0 0 -0.36 306.588 276.348 cm
/Im1 Do
Q
BT
/F15 1 Tf
7.97011 0 0 7.97011 306.6 270.24 Tm
(n)Tj
/F12 1 Tf
10.90909 0 0 10.90909 316.44 274.68 Tm
(>)Tj
/F8 1 Tf
1.1 0 Td
[(0,)-363(existe)]TJ
/F12 1 Tf
3.971 0 Td
(n)Tj
/F4 1 Tf
7.97011 0 0 7.97011 378.36 273 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 387 274.68 Tm
[(en)33(tero)-374(p)-33(ositiv)33(o)-374(tal)-374(que)-352(si)]TJ
/F12 1 Tf
11.286 0 Td
(n)Tj
/F13 1 Tf
0.924 0 Td
<15>Tj
/F12 1 Tf
1.1 0 Td
(n)Tj
/F4 1 Tf
7.97011 0 0 7.97011 538.8 273 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 543.48 274.68 Tm
(,)Tj
/F12 1 Tf
-39.32499 -1.518 TD
(h)Tj
/F15 1 Tf
7.97011 0 0 7.97011 120.72 262.08 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 125.16 258.12 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 134.88 256.44 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 140.52 258.12 Tm
(\))Tj
/F12 1 Tf
0.781 0 Td
(>)Tj
/F8 1 Tf
1.166 0 Td
(0)Tj
/F12 1 Tf
0.495 0 Td
(:)Tj
/F8 1 Tf
0.682 0 Td
[(As)110<13>]TJ
1.144 0 Td
[<10>-407(tenemos)-407(que)-396(para)]TJ
/F12 1 Tf
8.91 0 Td
(n)Tj
/F13 1 Tf
0.99 0 Td
<15>Tj
/F8 1 Tf
1.166 0 Td
[<6D13>495(a)-11(x)]TJ
/F13 1 Tf
(f)Tj
/F12 1 Tf
2.365 0 Td
(n)Tj
/F4 1 Tf
7.97011 0 0 7.97011 340.2 256.44 Tm
(0)Tj
/F12 1 Tf
10.90909 0 0 10.90909 344.88 258.12 Tm
0.165 Tc
(;n)Tj
/F4 1 Tf
7.97011 0 0 7.97011 356.28 256.44 Tm
0 Tc
(1)Tj
/F13 1 Tf
10.90909 0 0 10.90909 360.96 258.12 Tm
(g)Tj
/F8 1 Tf
(,)Tj
/F12 1 Tf
1.573 0 Td
<0B66>Tj
/F15 1 Tf
7.97011 0 0 7.97011 391.68 262.08 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 396 258.12 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 405.72 256.44 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 411.36 258.12 Tm
0.275 Tc
[(\)+)11(\()275(1)]TJ
/F13 1 Tf
2.86 0 Td
0 Tc
<00>Tj
/F12 1 Tf
1.045 0 Td
<0B>Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
1.023 0 Td
(h)Tj
/F15 1 Tf
7.97011 0 0 7.97011 471.36 262.08 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 475.8 258.12 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 485.52 256.44 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 491.28 258.12 Tm
(\))Tj
/F12 1 Tf
0.77 0 Td
(>)Tj
/F8 1 Tf
1.166 0 Td
[(0,)-407(para)]TJ
-36.47599 -1.232 TD
[(to)-33(do)]TJ
/F12 1 Tf
2.31 0 Td
<0B>Tj
/F13 1 Tf
0.924 0 Td
(2)Tj
/F8 1 Tf
0.946 0 Td
([0)Tj
/F12 1 Tf
(;)Tj
/F8 1 Tf
1.21 0 Td
(1])Tj
/F12 1 Tf
0.77 0 Td
(;)Tj
/F8 1 Tf
0.627 0 Td
[(p)-33(ero)-330(esto)-341(con)33(tradice)-352(la)-341(ecuaci\023)495(on)]TJ
/F12 1 Tf
14.289 0 Td
<0B66>Tj
/F8 1 Tf
1.243 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 367.68 243 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 373.32 244.68 Tm
0.22 Tc
[(\)+\()220(1)]TJ
/F13 1 Tf
2.717 0 Td
0 Tc
<00>Tj
/F12 1 Tf
1.001 0 Td
<0B>Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
1.023 0 Td
(h)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
0.957 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 441 243 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 446.76 244.68 Tm
0.286 Tc
[(\)=)11(0)286(.)]TJ
-28.908 -1.782 TD
0 Tc
(Sea)Tj
/F12 1 Tf
1.892 0 Td
(C)Tj
/F15 1 Tf
7.97011 0 0 7.97011 160.68 230.52 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
-0.10539 -1.06899 TD
0 Tc
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 174.36 225.24 Tm
(=)Tj
/F13 1 Tf
1.133 0 Td
(f)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
(x)Tj
/F4 1 Tf
7.97011 0 0 7.97011 202.56 223.56 Tm
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 207.36 225.24 Tm
0.165 Tc
[(;:::)-22(;x)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 237.84 223.44 Tm
0 Tc
(l)Tj
/F8 1 Tf
10.90909 0 0 10.90909 240.96 225.24 Tm
(\))Tj
/F12 1 Tf
0.385 0 Td
(=)Tj
/F14 1 Tf
0.66 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 264 222 Tm
(k)Tj
/F16 1 Tf
0.58719 0 Td
(6)Tj
/F4 1 Tf
(=)Tj
/F15 1 Tf
0.82809 0 Td
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 278.64 225.24 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 289.08 223.44 Tm
(k)Tj
/F13 1 Tf
10.90909 0 0 10.90909 297 225.24 Tm
<00>Tj
/F12 1 Tf
1.034 0 Td
<0F>Tj
/F13 1 Tf
0.66 0 Td
<00>Tj
/F12 1 Tf
1.034 0 Td
<0E>Tj
/F8 1 Tf
0.473 0 Td
(\))Tj
/F4 1 Tf
7.97011 0 0 7.97011 336.12 229.2 Tm
(2)Tj
/F12 1 Tf
10.90909 0 0 10.90909 344.88 225.24 Tm
0.363 Tc
<3E0E>Tj
/F4 1 Tf
7.97011 0 0 7.97011 362.52 229.2 Tm
0 Tc
(2)Tj
/F8 1 Tf
10.90909 0 0 10.90909 371.52 225.24 Tm
[(y)-385(para)-374(to)-33(do)]TJ
/F12 1 Tf
5.588 0 Td
(k)Tj
/F13 1 Tf
0.913 0 Td
(6)Tj
/F8 1 Tf
(=)Tj
/F12 1 Tf
1.144 0 Td
(i)Tj
/F8 1 Tf
(,)Tj
/F12 1 Tf
1.001 0 Td
<0F>Tj
/F13 1 Tf
0.77 0 Td
<14>Tj
/F12 1 Tf
1.133 0 Td
(x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 492.84 223.44 Tm
(k)Tj
/F12 1 Tf
10.90909 0 0 10.90909 501.84 225.24 Tm
0.363 Tc
<3C0F>Tj
/F8 1 Tf
1.804 0 Td
0 Tc
(+)Tj
/F12 1 Tf
1.034 0 Td
<0E>Tj
/F13 1 Tf
0.473 0 Td
(g)Tj
/F12 1 Tf
0.495 0 Td
(;)Tj
/F8 1 Tf
-39.31399 -1.243 TD
(para)Tj
/F12 1 Tf
2.288 0 Td
(i)Tj
/F8 1 Tf
0.616 0 Td
0.275 Tc
(=1)Tj
/F12 1 Tf
1.551 0 Td
0.165 Tc
[(;:::)-22(;l)]TJ
/F8 1 Tf
2.541 0 Td
0 Tc
(,)Tj
/F12 1 Tf
0.616 0 Td
(l)Tj
/F13 1 Tf
0.594 0 Td
<15>Tj
/F8 1 Tf
1.056 0 Td
(3,)Tj
/F12 1 Tf
1.111 0 Td
<0E>Tj
/F8 1 Tf
0.473 0 Td
(,)Tj
/F12 1 Tf
0.627 0 Td
0.275 Tc
<0F3E>Tj
/F8 1 Tf
1.738 0 Td
0.341 Tc
(0y)Tj
/F12 1 Tf
1.694 0 Td
0 Tc
<0F>Tj
/F8 1 Tf
0.627 0 Td
(+)Tj
/F12 1 Tf
1.001 0 Td
0.319 Tc
<0E3C>Tj
/F8 1 Tf
1.815 0 Td
0 Tc
(1)Tj
/F12 1 Tf
(=)Tj
/F8 1 Tf
0.99 0 Td
(4)Tj
/F12 1 Tf
(:)Tj
/F8 1 Tf
-17.78699 -1.771 TD
(Si)Tj
/F12 1 Tf
1.265 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 155.64 196.32 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.82809 TD
(+)Tj
/F8 1 Tf
10.90909 0 0 10.90909 167.28 192.36 Tm
(=)Tj
/F13 1 Tf
1.21 0 Td
(f)Tj
/F12 1 Tf
(p)Tj
/F13 1 Tf
1.43 0 Td
(2)Tj
/F12 1 Tf
1.1 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 218.52 196.32 Tm
0 Tc
(l)Tj
/F12 1 Tf
10.90909 0 0 10.90909 221.64 192.36 Tm
(=p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 232.56 190.68 Tm
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 240.6 192.36 Tm
<15>Tj
/F8 1 Tf
1.21 0 Td
[(0)-429(para)-429(to)-33(do)]TJ
/F12 1 Tf
5.698 0 Td
(i)Tj
/F13 1 Tf
0.77 0 Td
(g)Tj
/F8 1 Tf
[(,)-440(denote)-429(p)-33(or)]TJ
/F12 1 Tf
6.424 0 Td
(A)Tj
/F15 1 Tf
7.97011 0 0 7.97011 402.6 197.64 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
0 -1.06899 TD
0 Tc
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 417.12 192.36 Tm
[(el)-429(complemen)33(to)-451(de)]TJ
/F12 1 Tf
8.745 0 Td
(C)Tj
/F15 1 Tf
7.97011 0 0 7.97011 521.16 197.64 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
-0.10539 -1.06899 TD
0 Tc
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 535.56 192.36 Tm
(en)Tj
/F12 1 Tf
-38.59899 -1.408 TD
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 124.92 180.96 Tm
0 Tc
(l)Tj
/F4 1 Tf
-0.01506 -0.84315 TD
(+)Tj
/F8 1 Tf
10.90909 0 0 10.90909 131.88 177 Tm
(.)Tj
/F12 1 Tf
0.704 0 Td
(A)Tj
/F15 1 Tf
7.97011 0 0 7.97011 147.72 182.28 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
0 -1.06899 TD
0 Tc
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 162.36 177 Tm
[(es)-429(una)-418(v)55(ariedad)]TJ
/F12 1 Tf
7.436 0 Td
(C)Tj
/F4 1 Tf
7.97011 0 0 7.97011 252.12 180.96 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 261.36 177 Tm
[(con)-440(fron)33(tera,)-440(p)-33(or)-418(lo)-440(tan)33(to)]TJ
/F12 1 Tf
11.935 0 Td
(A)Tj
/F15 1 Tf
7.97011 0 0 7.97011 399.72 182.28 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
0 -1.06899 TD
0 Tc
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 412.68 177 Tm
(\\)Tj
/F12 1 Tf
0.957 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 430.44 181.56 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 449.04 177 Tm
[(es)-429(una)-429(v)55(ariedad)-429(con)]TJ
-30.668 -2.277 TD
[(fron)33(tera)]TJ
/F12 1 Tf
3.762 0 Td
(C)Tj
/F4 1 Tf
7.97011 0 0 7.97011 164.16 156.12 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 168.84 152.16 Tm
0.308 Tc
[(.A)308(s)418<13>]TJ
1.727 0 Td
0 Tc
<10>Tj
/F12 1 Tf
0.583 0 Td
(B)Tj
/F15 1 Tf
7.97011 0 0 7.97011 202.92 156.12 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
/F8 1 Tf
10.90909 0 0 10.90909 215.76 152.16 Tm
0 Tc
(=)Tj
/F15 1 Tf
7.97011 0 0 7.97011 232.8 165.72 Tm
(l)Tj
/F14 1 Tf
10.90909 0 0 10.90909 228 162.48 Tm
(\\)Tj
/F15 1 Tf
7.97011 0 0 7.97011 227.28 138.96 Tm
(i)Tj
/F4 1 Tf
0.36135 0 Td
(=1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 240.96 152.16 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(A)Tj
/F15 1 Tf
7.97011 0 0 7.97011 253.32 157.44 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
0 -1.08405 TD
0 Tc
(i)Tj
/F13 1 Tf
10.90909 0 0 10.90909 265.08 152.16 Tm
(\\)Tj
/F12 1 Tf
0.825 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 281.4 156.72 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 295.44 152.16 Tm
[(\))-308(es)-308(una)-297(v)55(ariedad)-308(con)-308(fron)33(tera)]TJ
/F12 1 Tf
13.31 0 Td
(C)Tj
/F4 1 Tf
7.97011 0 0 7.97011 449.28 156.12 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 457.32 152.16 Tm
[(difeomorfa)-308(al)-319(disco)]TJ
/F13 1 Tf
-31.42699 -2.266 TD
(f)Tj
/F12 1 Tf
0.495 0 Td
(x)Tj
/F13 1 Tf
0.858 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 150 131.4 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 163.92 127.44 Tm
(=)Tj
/F13 1 Tf
0.495 0 Td
(k)Tj
/F12 1 Tf
0.495 0 Td
(x)Tj
/F13 1 Tf
0.286 Tc
<6B14>Tj
/F8 1 Tf
2.409 0 Td
0 Tc
(1)Tj
/F13 1 Tf
0.495 0 Td
(g)Tj
/F8 1 Tf
0.836 0 Td
(en)Tj
/F12 1 Tf
1.342 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 240.6 131.4 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 254.4 127.44 Tm
(.)Tj
-11.275 -3.113 TD
[(P)33(ara)]TJ
/F12 1 Tf
2.387 0 Td
(n)Tj
/F8 1 Tf
0.869 0 Td
0.275 Tc
[(=3)275(,)]TJ
/F12 1 Tf
2.167 0 Td
0 Tc
(B)Tj
/F15 1 Tf
7.97011 0 0 7.97011 199.44 97.44 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
/F8 1 Tf
10.90909 0 0 10.90909 212.88 93.48 Tm
0 Tc
[(es)-341(la)-341(regi\023)495(on)-341<6D13>495(as)-330(p)-33(eque)-33(~)]TJ
9.911 0 Td
[(na)-330(de)]TJ
/F12 1 Tf
2.717 0 Td
(S)Tj
/F4 1 Tf
7.97011 0 0 7.97011 357.96 97.44 Tm
(2)Tj
-0.07528 -0.82809 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 374.64 93.48 Tm
[(que)-330(aparece)-352(en)-330(la)-341(\fgura.)]TJ
ET
endstream
endobj
16 0 obj
<<
/Length 41179
>>
stream
/GS4 gs
BT
/F8 1 Tf
10.90909 0 0 10.90909 72 722.16 Tm
0 g
(14)Tj
/F11 1 Tf
15.444 0 Td
[(o.)-374(a)22(cu)]TJ
3.168 0.088 TD
(~)Tj
-0.033 -0.088 TD
[(na)-363({)-385(f.)-374(ula)66(te)]TJ
ET
q
0.48 0 0 -1.92 321.828 635.028 cm
/Im1 Do
Q
q
0.48 0 0 -1.92 321.468 633.108 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 321.228 631.188 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 320.868 630.468 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 320.508 629.748 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 320.268 629.028 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 319.908 628.428 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 319.548 627.708 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 319.308 627.348 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 318.948 626.988 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 318.588 626.628 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 318.348 626.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 317.988 625.908 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 317.748 625.548 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 317.388 625.188 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 317.028 624.828 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 316.548 624.468 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 316.188 624.228 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 315.828 623.868 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 315.348 623.508 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 314.988 623.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 314.628 622.908 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 314.268 622.668 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 313.788 622.308 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 313.428 622.068 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 313.068 621.708 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 312.468 621.348 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 311.988 620.988 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 311.388 620.628 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 310.788 620.268 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 310.188 619.908 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 309.708 619.548 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 309.108 619.308 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 308.508 618.948 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 308.028 618.588 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 307.428 618.348 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 306.708 617.988 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 305.988 617.628 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 305.388 617.388 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 304.668 617.028 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 303.948 616.788 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 303.348 616.428 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 302.628 616.068 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 301.908 615.828 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 301.308 615.468 cm
/Im1 Do
Q
q
5.52 0 0 -0.48 251.148 606.828 cm
/Im1 Do
Q
q
5.28 0 0 -0.48 256.548 606.948 cm
/Im1 Do
Q
q
2.64 0 0 -0.48 261.828 607.188 cm
/Im1 Do
Q
q
2.64 0 0 -0.48 264.348 607.308 cm
/Im1 Do
Q
q
2.52 0 0 -0.48 266.868 607.548 cm
/Im1 Do
Q
q
2.52 0 0 -0.48 269.388 607.788 cm
/Im1 Do
Q
q
2.52 0 0 -0.48 271.908 608.028 cm
/Im1 Do
Q
q
2.52 0 0 -0.48 274.308 608.388 cm
/Im1 Do
Q
q
1.56 0 0 -0.48 276.708 608.628 cm
/Im1 Do
Q
q
1.56 0 0 -0.48 278.268 608.988 cm
/Im1 Do
Q
q
1.56 0 0 -0.48 279.828 609.228 cm
/Im1 Do
Q
q
1.56 0 0 -0.48 281.388 609.468 cm
/Im1 Do
Q
q
1.56 0 0 -0.48 282.828 609.828 cm
/Im1 Do
Q
q
1.56 0 0 -0.48 284.388 610.068 cm
/Im1 Do
Q
q
1.08 0 0 -0.48 285.828 610.428 cm
/Im1 Do
Q
q
1.08 0 0 -0.48 286.908 610.668 cm
/Im1 Do
Q
q
1.08 0 0 -0.48 287.988 611.028 cm
/Im1 Do
Q
q
1.08 0 0 -0.48 289.068 611.268 cm
/Im1 Do
Q
q
1.08 0 0 -0.48 290.268 611.508 cm
/Im1 Do
Q
q
1.08 0 0 -0.48 291.228 611.868 cm
/Im1 Do
Q
q
1.08 0 0 -0.48 292.308 612.108 cm
/Im1 Do
Q
q
1.08 0 0 -0.48 293.388 612.468 cm
/Im1 Do
Q
q
0.96 0 0 -0.48 294.468 612.708 cm
/Im1 Do
Q
q
0.96 0 0 -0.48 295.308 613.068 cm
/Im1 Do
Q
q
0.96 0 0 -0.48 296.148 613.308 cm
/Im1 Do
Q
q
0.96 0 0 -0.48 296.988 613.668 cm
/Im1 Do
Q
q
0.96 0 0 -0.48 297.828 614.028 cm
/Im1 Do
Q
q
0.96 0 0 -0.48 298.668 614.268 cm
/Im1 Do
Q
q
0.96 0 0 -0.48 299.508 614.628 cm
/Im1 Do
Q
q
0.96 0 0 -0.48 300.348 614.868 cm
/Im1 Do
Q
q
0.48 0 0 -5.52 250.908 612.108 cm
/Im1 Do
Q
q
0.48 0 0 -5.28 251.028 617.268 cm
/Im1 Do
Q
q
0.48 0 0 -2.64 251.268 619.908 cm
/Im1 Do
Q
q
0.48 0 0 -2.64 251.388 622.428 cm
/Im1 Do
Q
q
0.48 0 0 -2.52 251.628 624.948 cm
/Im1 Do
Q
q
0.48 0 0 -2.52 251.868 627.348 cm
/Im1 Do
Q
q
0.48 0 0 -2.52 252.108 629.868 cm
/Im1 Do
Q
q
0.48 0 0 -2.52 252.468 632.268 cm
/Im1 Do
Q
q
0.48 0 0 -1.56 252.708 633.708 cm
/Im1 Do
Q
q
0.48 0 0 -1.56 252.948 635.268 cm
/Im1 Do
Q
q
0.48 0 0 -1.56 253.308 636.828 cm
/Im1 Do
Q
q
0.48 0 0 -1.56 253.548 638.388 cm
/Im1 Do
Q
q
0.48 0 0 -1.56 253.908 639.828 cm
/Im1 Do
Q
q
0.48 0 0 -1.56 254.148 641.388 cm
/Im1 Do
Q
q
0.48 0 0 -1.08 254.508 642.348 cm
/Im1 Do
Q
q
0.48 0 0 -1.08 254.748 643.428 cm
/Im1 Do
Q
q
0.48 0 0 -1.08 255.108 644.508 cm
/Im1 Do
Q
q
0.48 0 0 -1.08 255.348 645.588 cm
/Im1 Do
Q
q
0.48 0 0 -1.08 255.588 646.788 cm
/Im1 Do
Q
q
0.48 0 0 -1.08 255.948 647.868 cm
/Im1 Do
Q
q
0.48 0 0 -1.08 256.188 648.828 cm
/Im1 Do
Q
q
0.48 0 0 -1.08 256.548 649.908 cm
/Im1 Do
Q
q
0.48 0 0 -0.96 256.788 650.868 cm
/Im1 Do
Q
q
0.48 0 0 -0.96 257.148 651.708 cm
/Im1 Do
Q
q
0.48 0 0 -0.96 257.388 652.548 cm
/Im1 Do
Q
q
0.48 0 0 -0.96 257.748 653.388 cm
/Im1 Do
Q
q
0.48 0 0 -0.96 258.108 654.228 cm
/Im1 Do
Q
q
0.48 0 0 -0.96 258.348 655.068 cm
/Im1 Do
Q
q
0.48 0 0 -0.96 258.708 655.908 cm
/Im1 Do
Q
q
0.48 0 0 -0.96 258.948 656.868 cm
/Im1 Do
Q
q
1.92 0 0 -0.48 277.668 677.748 cm
/Im1 Do
Q
q
1.92 0 0 -0.48 275.748 677.508 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 275.028 677.148 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 274.308 676.788 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 273.588 676.548 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 272.868 676.188 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 272.148 675.828 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 271.788 675.468 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 271.428 675.228 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 271.068 674.868 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 270.708 674.508 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 270.348 674.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 269.988 673.908 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 269.628 673.668 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 269.268 673.308 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 268.908 672.948 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 268.548 672.468 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 268.308 672.108 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 267.948 671.748 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 267.588 671.388 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 267.348 670.908 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 266.988 670.548 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 266.748 670.188 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 266.388 669.708 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 266.028 669.348 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 265.788 668.988 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 265.308 668.508 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 265.068 668.028 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 264.708 667.428 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 264.348 666.828 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 263.988 666.348 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 263.628 665.748 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 263.268 665.148 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 263.028 664.548 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 262.668 664.068 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 262.308 663.588 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 262.068 662.868 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 261.708 662.148 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 261.468 661.548 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 261.108 660.828 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 260.748 660.108 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 260.508 659.508 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 260.148 658.788 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 259.908 658.068 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 259.548 657.468 cm
/Im1 Do
Q
q
0.48 0 0 -5.16 321.828 640.068 cm
/Im1 Do
Q
q
0.48 0 0 -1.68 321.588 641.748 cm
/Im1 Do
Q
q
0.48 0 0 -1.68 321.348 643.308 cm
/Im1 Do
Q
q
0.48 0 0 -1.68 320.988 644.868 cm
/Im1 Do
Q
q
0.48 0 0 -1.2 320.748 646.068 cm
/Im1 Do
Q
q
0.48 0 0 -1.2 320.388 647.268 cm
/Im1 Do
Q
q
0.48 0 0 -1.2 320.028 648.348 cm
/Im1 Do
Q
q
0.48 0 0 -1.2 319.668 649.548 cm
/Im1 Do
Q
q
0.48 0 0 -0.84 319.428 650.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.84 319.068 651.108 cm
/Im1 Do
Q
q
0.48 0 0 -0.84 318.828 651.828 cm
/Im1 Do
Q
q
0.48 0 0 -0.84 318.468 652.548 cm
/Im1 Do
Q
q
0.48 0 0 -0.84 318.108 653.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.84 317.868 653.988 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 317.508 654.468 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 317.148 654.948 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 316.908 655.548 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 316.548 656.028 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 316.308 656.508 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 315.948 656.988 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 315.588 657.588 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 315.348 658.068 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 315.108 658.548 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 314.748 658.908 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 314.388 659.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 314.028 659.748 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 313.668 660.108 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 313.428 660.468 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 313.068 660.948 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 312.708 661.308 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 312.348 661.668 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 311.988 662.148 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 311.628 662.508 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 311.388 662.868 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 311.028 663.228 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 310.668 663.708 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 310.308 664.068 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 309.948 664.428 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 309.588 664.908 cm
/Im1 Do
Q
q
5.16 0 0 -0.48 279.468 677.748 cm
/Im1 Do
Q
q
1.68 0 0 -0.48 284.508 677.508 cm
/Im1 Do
Q
q
1.68 0 0 -0.48 286.188 677.268 cm
/Im1 Do
Q
q
1.68 0 0 -0.48 287.748 677.028 cm
/Im1 Do
Q
q
1.2 0 0 -0.48 289.428 676.668 cm
/Im1 Do
Q
q
1.2 0 0 -0.48 290.508 676.308 cm
/Im1 Do
Q
q
1.2 0 0 -0.48 291.708 675.948 cm
/Im1 Do
Q
q
1.2 0 0 -0.48 292.908 675.588 cm
/Im1 Do
Q
q
0.84 0 0 -0.48 293.988 675.348 cm
/Im1 Do
Q
q
0.84 0 0 -0.48 294.708 674.988 cm
/Im1 Do
Q
q
0.84 0 0 -0.48 295.548 674.748 cm
/Im1 Do
Q
q
0.84 0 0 -0.48 296.268 674.388 cm
/Im1 Do
Q
q
0.84 0 0 -0.48 296.988 674.028 cm
/Im1 Do
Q
q
0.84 0 0 -0.48 297.708 673.788 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 298.428 673.428 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 298.908 673.068 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 299.388 672.828 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 299.988 672.468 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 300.468 672.228 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 300.948 671.868 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 301.428 671.508 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 302.028 671.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 302.628 671.028 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 302.988 670.668 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 303.348 670.308 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 303.828 669.948 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 304.188 669.708 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 304.548 669.348 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 304.908 668.988 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 305.388 668.628 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 305.748 668.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 306.108 667.908 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 306.588 667.668 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 306.948 667.308 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 307.308 666.948 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 307.788 666.588 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 308.148 666.228 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 308.508 665.868 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 308.988 665.628 cm
/Im1 Do
Q
q
0.48 0 0 -1.92 318.948 635.028 cm
/Im1 Do
Q
q
0.48 0 0 -1.92 318.708 633.228 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 318.348 631.308 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 317.988 630.708 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 317.748 630.108 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 317.388 629.628 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 317.148 629.028 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 316.788 628.428 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 316.428 627.828 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 316.068 627.468 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 315.828 627.108 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 315.468 626.748 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 315.228 626.508 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 314.868 626.148 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 314.508 625.788 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 314.268 625.428 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 313.908 625.068 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 313.668 624.708 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 312.948 624.828 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 312.588 624.468 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 312.108 624.108 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 311.628 623.868 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 311.148 623.508 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 310.668 623.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 310.308 622.908 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 309.828 622.548 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 309.348 622.308 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 308.868 621.948 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 308.268 621.708 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 307.548 621.348 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 306.828 621.108 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 306.108 620.748 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 305.508 620.508 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 304.788 620.148 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 304.068 619.788 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 303.348 619.548 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 302.628 619.188 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 301.908 618.948 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 301.188 618.588 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 300.468 618.228 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 299.748 617.988 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 299.028 617.628 cm
/Im1 Do
Q
q
1.92 0 0 -0.48 277.668 674.868 cm
/Im1 Do
Q
q
1.92 0 0 -0.48 275.748 674.628 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 275.268 674.268 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 274.668 673.908 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 274.068 673.668 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 273.588 673.308 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 272.988 673.068 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 272.388 672.708 cm
/Im1 Do
Q
q
0.36 0 0 -0.48 272.028 672.348 cm
/Im1 Do
Q
q
0.36 0 0 -0.48 271.668 671.988 cm
/Im1 Do
Q
q
0.36 0 0 -0.48 271.308 671.748 cm
/Im1 Do
Q
q
0.36 0 0 -0.48 270.948 671.388 cm
/Im1 Do
Q
q
0.36 0 0 -0.48 270.588 671.148 cm
/Im1 Do
Q
q
0.36 0 0 -0.48 270.348 670.788 cm
/Im1 Do
Q
q
0.36 0 0 -0.48 269.988 670.428 cm
/Im1 Do
Q
q
0.36 0 0 -0.48 269.628 670.188 cm
/Im1 Do
Q
q
0.36 0 0 -0.48 269.268 669.828 cm
/Im1 Do
Q
q
0.36 0 0 -0.48 268.908 669.588 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 268.908 668.868 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 268.548 668.508 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 268.188 668.028 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 267.948 667.548 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 267.588 667.068 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 267.348 666.708 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 266.988 666.228 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 266.628 665.748 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 266.388 665.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 266.028 664.788 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 265.788 664.428 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 265.428 663.708 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 265.188 662.988 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 264.828 662.388 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 264.468 661.668 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 264.228 660.948 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 263.868 660.228 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 263.628 659.508 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 263.268 658.788 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 262.908 658.068 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 262.668 657.348 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 262.308 656.628 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 262.068 655.908 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 261.708 655.188 cm
/Im1 Do
Q
q
0.48 0 0 -5.04 318.948 639.948 cm
/Im1 Do
Q
q
0.48 0 0 -1.68 318.708 641.628 cm
/Im1 Do
Q
q
0.48 0 0 -1.68 318.348 643.188 cm
/Im1 Do
Q
q
0.48 0 0 -1.68 318.108 644.868 cm
/Im1 Do
Q
q
0.48 0 0 -0.96 317.868 645.708 cm
/Im1 Do
Q
q
0.48 0 0 -0.96 317.508 646.668 cm
/Im1 Do
Q
q
0.48 0 0 -0.96 317.268 647.508 cm
/Im1 Do
Q
q
0.48 0 0 -0.96 317.028 648.468 cm
/Im1 Do
Q
q
0.48 0 0 -0.96 316.668 649.308 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 316.428 650.028 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 316.068 650.748 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 315.708 651.468 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 315.348 652.068 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 315.108 652.788 cm
/Im1 Do
Q
q
0.48 0 0 -0.72 314.748 653.508 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 314.388 654.228 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 314.148 654.708 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 313.788 655.188 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 313.548 655.788 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 313.188 656.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 312.828 656.748 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 312.588 657.228 cm
/Im1 Do
Q
q
0.48 0 0 -0.6 312.228 657.828 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 311.868 658.188 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 311.628 658.548 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 311.268 658.908 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 310.908 659.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 310.668 659.628 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 310.308 659.988 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 310.068 660.348 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 309.708 660.708 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 309.348 661.068 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 309.108 661.428 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 308.748 661.788 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 308.508 662.148 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 308.148 662.628 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 307.788 662.988 cm
/Im1 Do
Q
q
5.04 0 0 -0.48 279.468 674.868 cm
/Im1 Do
Q
q
1.68 0 0 -0.48 284.508 674.628 cm
/Im1 Do
Q
q
1.68 0 0 -0.48 286.068 674.388 cm
/Im1 Do
Q
q
1.68 0 0 -0.48 287.628 674.028 cm
/Im1 Do
Q
q
0.96 0 0 -0.48 289.308 673.788 cm
/Im1 Do
Q
q
0.96 0 0 -0.48 290.148 673.428 cm
/Im1 Do
Q
q
0.96 0 0 -0.48 291.108 673.188 cm
/Im1 Do
Q
q
0.96 0 0 -0.48 292.068 672.948 cm
/Im1 Do
Q
q
0.96 0 0 -0.48 292.908 672.588 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 293.868 672.348 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 294.588 671.988 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 295.188 671.628 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 295.908 671.388 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 296.628 671.028 cm
/Im1 Do
Q
q
0.72 0 0 -0.48 297.348 670.668 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 298.188 670.308 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 298.668 670.068 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 299.148 669.708 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 299.748 669.468 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 300.228 669.108 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 300.708 668.868 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 301.188 668.508 cm
/Im1 Do
Q
q
0.6 0 0 -0.48 301.788 668.148 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 302.268 667.788 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 302.628 667.548 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 302.988 667.188 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 303.348 666.828 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 303.708 666.588 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 304.068 666.228 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 304.428 665.988 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 304.788 665.628 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 305.148 665.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 305.508 665.028 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 305.868 664.668 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 306.228 664.428 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 306.588 664.068 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 307.068 663.708 cm
/Im1 Do
Q
q
0.48 0 0 -62.4 279.228 697.308 cm
/Im1 Do
Q
q
59.64 0 0 -0.48 279.468 635.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 279.228 634.908 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 278.988 634.668 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 278.628 634.308 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 278.268 633.948 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 277.908 633.588 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 277.548 633.228 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 277.188 632.868 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 276.948 632.628 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 276.588 632.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 276.228 631.908 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 275.868 631.548 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 275.508 631.188 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 275.148 630.828 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 274.908 630.588 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 274.548 630.228 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 274.188 629.868 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 273.828 629.508 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 273.468 629.148 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 273.108 628.788 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 272.868 628.548 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 272.508 628.188 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 272.148 627.828 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 271.788 627.468 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 271.428 627.108 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 271.068 626.748 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 270.828 626.508 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 270.468 626.148 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 270.108 625.788 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 269.748 625.428 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 269.388 625.068 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 269.028 624.708 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 268.788 624.468 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 268.428 624.108 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 268.068 623.748 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 267.708 623.388 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 267.348 623.028 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 266.988 622.668 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 266.748 622.428 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 266.388 622.068 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 266.028 621.708 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 265.668 621.348 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 265.308 620.988 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 264.948 620.628 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 264.708 620.388 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 264.348 620.028 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 263.988 619.668 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 263.628 619.308 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 263.268 618.948 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 262.908 618.588 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 262.668 618.348 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 262.308 617.988 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 261.948 617.628 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 261.588 617.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 261.228 616.908 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 260.868 616.548 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 260.628 616.308 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 260.268 615.948 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 259.908 615.588 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 259.548 615.228 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 259.188 614.868 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 258.828 614.508 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 258.588 614.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 258.228 613.908 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 257.868 613.548 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 257.508 613.188 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 257.148 612.828 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 256.788 612.468 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 256.548 612.228 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 256.188 611.868 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 255.828 611.508 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 255.468 611.148 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 255.108 610.788 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 254.748 610.428 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 254.508 610.068 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 254.148 609.828 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 253.788 609.468 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 253.428 609.108 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 253.068 608.748 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 252.708 608.388 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 252.468 608.028 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 252.108 607.788 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 251.748 607.428 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 251.388 607.068 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 251.028 606.708 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 250.668 606.348 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 250.428 605.988 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 250.068 605.748 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 249.708 605.388 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 249.348 605.028 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 248.988 604.668 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 248.628 604.308 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 248.388 603.948 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 248.028 603.708 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 247.668 603.348 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 247.308 602.988 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 246.948 602.628 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 246.588 602.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 246.348 601.908 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 245.988 601.668 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 245.628 601.308 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 245.268 600.948 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 244.908 600.588 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 244.548 600.228 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 244.308 599.868 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 243.948 599.628 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 243.588 599.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 243.228 598.908 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 242.868 598.548 cm
/Im1 Do
Q
q
0.48 0 0 -0.36 242.508 598.188 cm
/Im1 Do
Q
q
1.08 0 0 -0.48 298.188 617.148 cm
/Im1 Do
Q
q
1.08 0 0 -0.48 297.108 616.788 cm
/Im1 Do
Q
q
1.08 0 0 -0.48 296.148 616.428 cm
/Im1 Do
Q
q
1.08 0 0 -0.48 295.068 616.188 cm
/Im1 Do
Q
q
1.08 0 0 -0.48 293.988 615.828 cm
/Im1 Do
Q
q
1.08 0 0 -0.48 292.908 615.468 cm
/Im1 Do
Q
q
1.2 0 0 -0.48 291.708 615.108 cm
/Im1 Do
Q
q
1.2 0 0 -0.48 290.628 614.868 cm
/Im1 Do
Q
q
1.2 0 0 -0.48 289.548 614.508 cm
/Im1 Do
Q
q
1.2 0 0 -0.48 288.468 614.268 cm
/Im1 Do
Q
q
1.2 0 0 -0.48 287.388 614.028 cm
/Im1 Do
Q
q
1.2 0 0 -0.48 286.188 613.668 cm
/Im1 Do
Q
q
1.44 0 0 -0.48 284.868 613.428 cm
/Im1 Do
Q
q
1.44 0 0 -0.48 283.428 613.068 cm
/Im1 Do
Q
q
1.44 0 0 -0.48 281.988 612.828 cm
/Im1 Do
Q
q
1.44 0 0 -0.48 280.668 612.588 cm
/Im1 Do
Q
q
1.44 0 0 -0.48 279.228 612.228 cm
/Im1 Do
Q
q
1.92 0 0 -0.48 277.428 611.988 cm
/Im1 Do
Q
q
1.92 0 0 -0.48 275.628 611.748 cm
/Im1 Do
Q
q
1.92 0 0 -0.48 273.828 611.388 cm
/Im1 Do
Q
q
1.92 0 0 -0.48 272.028 611.148 cm
/Im1 Do
Q
q
2.52 0 0 -0.48 269.508 610.788 cm
/Im1 Do
Q
q
2.52 0 0 -0.48 267.108 610.548 cm
/Im1 Do
Q
q
2.52 0 0 -0.48 264.588 610.308 cm
/Im1 Do
Q
q
3.96 0 0 -0.48 260.748 610.068 cm
/Im1 Do
Q
q
3.96 0 0 -0.48 256.788 609.708 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 256.548 609.708 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 256.308 610.068 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 255.948 610.428 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 255.708 610.908 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 255.348 611.268 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 255.108 611.628 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 254.748 612.108 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 254.388 612.468 cm
/Im1 Do
Q
q
0.48 0 0 -0.48 254.148 612.828 cm
/Im1 Do
Q
q
0.48 0 0 -1.08 261.228 654.708 cm
/Im1 Do
Q
q
0.48 0 0 -1.08 260.988 653.628 cm
/Im1 Do
Q
q
0.48 0 0 -1.08 260.628 652.668 cm
/Im1 Do
Q
q
0.48 0 0 -1.08 260.268 651.588 cm
/Im1 Do
Q
q
0.48 0 0 -1.08 260.028 650.508 cm
/Im1 Do
Q
q
0.48 0 0 -1.08 259.668 649.428 cm
/Im1 Do
Q
q
0.48 0 0 -1.08 259.428 648.468 cm
/Im1 Do
Q
q
0.48 0 0 -1.2 259.188 647.388 cm
/Im1 Do
Q
q
0.48 0 0 -1.2 258.828 646.188 cm
/Im1 Do
Q
q
0.48 0 0 -1.2 258.588 644.988 cm
/Im1 Do
Q
q
0.48 0 0 -1.2 258.228 643.788 cm
/Im1 Do
Q
q
0.48 0 0 -1.2 257.988 642.588 cm
/Im1 Do
Q
q
0.48 0 0 -1.2 257.748 641.388 cm
/Im1 Do
Q
q
0.48 0 0 -1.44 257.388 640.188 cm
/Im1 Do
Q
q
0.48 0 0 -1.44 257.148 638.748 cm
/Im1 Do
Q
q
0.48 0 0 -1.44 256.788 637.428 cm
/Im1 Do
Q
q
0.48 0 0 -1.44 256.548 635.988 cm
/Im1 Do
Q
q
0.48 0 0 -1.44 256.188 634.548 cm
/Im1 Do
Q
q
0.48 0 0 -1.8 255.948 633.228 cm
/Im1 Do
Q
q
0.48 0 0 -1.8 255.708 631.428 cm
/Im1 Do
Q
q
0.48 0 0 -1.8 255.468 629.748 cm
/Im1 Do
Q
q
0.48 0 0 -1.8 255.228 627.948 cm
/Im1 Do
Q
q
0.48 0 0 -2.28 254.868 626.268 cm
/Im1 Do
Q
q
0.48 0 0 -2.28 254.628 623.988 cm
/Im1 Do
Q
q
0.48 0 0 -2.28 254.508 621.708 cm
/Im1 Do
Q
q
0.48 0 0 -6.72 254.268 619.548 cm
/Im1 Do
Q
BT
/F8 1 Tf
10.90909 0 0 10.90909 72 567.72 Tm
(Si)Tj
/F12 1 Tf
1.166 0 Td
(l)Tj
/F13 1 Tf
0.594 0 Td
<14>Tj
/F8 1 Tf
1.056 0 Td
[(2,)-341(sea)]TJ
/F12 1 Tf
2.783 0 Td
(B)Tj
/F15 1 Tf
7.97011 0 0 7.97011 141.96 571.68 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
/F8 1 Tf
10.90909 0 0 10.90909 154.8 567.72 Tm
0 Tc
(=)Tj
/F12 1 Tf
1.056 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 173.04 565.92 Tm
<0E>Tj
/F16 1 Tf
0.49686 0 Td
<01>Tj
/F15 1 Tf
0.30113 0 Td
<0F>Tj
/F12 1 Tf
10.90909 0 0 10.90909 183.36 567.72 Tm
(:)Tj
/F17 1 Tf
-10.208 -1.771 TD
[(T)99(eorema)-374(17)-748(\(T)99(eorema)-374(del)-242<13>451(\020ndice\))]TJ
/F8 1 Tf
17.688 0 Td
(Si)Tj
/F12 1 Tf
1.155 0 Td
(E)Tj
/F8 1 Tf
1.122 0 Td
[(es)-330(el)-330(conjun)33(to)-330(de)-319(precios)-330(de)-319(equilibrio)-330(en)-330(una)]TJ
-19.965 -1.243 TD
[(econom)110<13>]TJ
3.267 0 Td
[<1061>-352(regular)]TJ
/F13 1 Tf
4.521 0 Td
(E)Tj
/F8 1 Tf
0.616 0 Td
[(,)-330(en)33(tonces)]TJ
/F14 1 Tf
4.642 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 225.84 531.6 Tm
(p)Tj
/F16 1 Tf
0.54203 0 Td
(2)Tj
/F15 1 Tf
0.70764 0 Td
(E)Tj
/F8 1 Tf
10.90909 0 0 10.90909 243.48 534.84 Tm
[<13>385(\020ndice)-11(\()]TJ
/F12 1 Tf
3.058 0 Td
(p)Tj
/F8 1 Tf
0.275 Tc
[(\)=1)275(.)]TJ
/F17 1 Tf
-18.777 -1.243 TD
0 Tc
(Prueba)Tj
/F8 1 Tf
4.466 0 Td
(Sea)Tj
/F12 1 Tf
1.892 0 Td
<0F>Tj
/F16 1 Tf
7.97011 0 0 7.97011 145.8 525.2401 Tm
(0)Tj
/F12 1 Tf
10.90909 0 0 10.90909 152.64 521.28 Tm
(>)Tj
/F8 1 Tf
1.155 0 Td
[(0)-396(su\fcien)33(temen)33(te)-407(p)-33(eque)-33(~)528(no)-385(tal)-407(que)]TJ
/F12 1 Tf
15.433 0 Td
(f)Tj
/F8 1 Tf
0.99 0 Td
(y)Tj
/F12 1 Tf
0.924 0 Td
(h)Tj
/F8 1 Tf
0.957 0 Td
[(sean)-396(homot\023)495(opicas)-407(en)-396(el)-396(com-)]TJ
-26.85099 -1.243 TD
[(plemen)33(to)-330(de)]TJ
/F12 1 Tf
5.621 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 140.04 505.92 Tm
<0F>Tj
/F21 1 Tf
5.97758 0 0 5.97758 143.52 508.2 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 150.12 507.72 Tm
(en)Tj
/F12 1 Tf
1.32 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 171.84 512.28 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.91843 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 185.76 507.72 Tm
[(.)-330(Esco)-55(ja)]TJ
/F12 1 Tf
3.806 0 Td
<0F>Tj
/F8 1 Tf
0.726 0 Td
(y)Tj
/F12 1 Tf
0.858 0 Td
<0E>Tj
/F8 1 Tf
0.803 0 Td
[(p)-33(eque)-33(~)528(nos)-308(tales)-341(que)-319(la)-330(fron)33(tera)-330(de)]TJ
/F12 1 Tf
14.696 0 Td
(B)Tj
/F15 1 Tf
7.97011 0 0 7.97011 422.52 511.68 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
/F8 1 Tf
10.90909 0 0 10.90909 435.84 507.72 Tm
0 Tc
[(est\023)495(a)-341(con)33(tenida)]TJ
-33.35199 -1.353 TD
[(en)-374(el)-385(complemen)33(to)-396(de)]TJ
/F12 1 Tf
9.977 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 187.56 491.16 Tm
<0F>Tj
/F21 1 Tf
5.97758 0 0 5.97758 191.04 493.44 Tm
(0)Tj
/F8 1 Tf
10.90909 0 0 10.90909 198.24 492.96 Tm
(en)Tj
/F12 1 Tf
1.375 0 Td
(S)Tj
/F15 1 Tf
7.97011 0 0 7.97011 220.56 497.64 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
-1.23461 -0.93349 TD
(++)Tj
/F8 1 Tf
10.90909 0 0 10.90909 238.56 492.96 Tm
(y)Tj
/F12 1 Tf
0.913 0 Td
(E)Tj
/F8 1 Tf
1.166 0 Td
[(con)33(tenido)-396(en)-374(el)-385(in)33(terior)-385(de)]TJ
/F12 1 Tf
12.001 0 Td
(B)Tj
/F15 1 Tf
7.97011 0 0 7.97011 401.04 496.92 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
/F12 1 Tf
10.90909 0 0 10.90909 410.88 492.96 Tm
0 Tc
(:)Tj
/F8 1 Tf
0.649 0 Td
[(T)88(enemos)-385(en)33(tonces)]TJ
-31.71299 -1.243 TD
(que)Tj
/F12 1 Tf
1.958 0 Td
(f)Tj
/F8 1 Tf
1.023 0 Td
(y)Tj
/F12 1 Tf
0.957 0 Td
(h)Tj
/F8 1 Tf
1.001 0 Td
[(son)-418(homot\023)495(opicas)-451(en)-418(la)-440(fron)33(tera)-429(de)]TJ
/F12 1 Tf
15.686 0 Td
(B)Tj
/F15 1 Tf
7.97011 0 0 7.97011 305.88 483.36 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
/F8 1 Tf
10.90909 0 0 10.90909 320.28 479.4 Tm
0 Tc
(y)Tj
/F12 1 Tf
0.957 0 Td
(h)Tj
/F8 1 Tf
1.001 0 Td
[(apun)33(ta)-429(al)-440(in)33(terior)-440(de)]TJ
/F12 1 Tf
9.713 0 Td
(B)Tj
/F15 1 Tf
7.97011 0 0 7.97011 456.48 483.36 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
/F8 1 Tf
10.90909 0 0 10.90909 466.32 479.4 Tm
0.429 Tc
[(.P)462(o)429(rl)429(o)]TJ
-36.14599 -1.243 TD
0 Tc
[(tan)33(to,)-330<6D13>495(odulo)-297(homotop)110<13>]TJ
10.241 0 Td
<1061>Tj
/F13 1 Tf
1.089 0 Td
<00>Tj
/F12 1 Tf
(f)Tj
/F8 1 Tf
1.683 0 Td
[(apun)33(ta)-308(al)-308(exterior)-319(de)]TJ
/F12 1 Tf
9.383 0 Td
(B)Tj
/F15 1 Tf
7.97011 0 0 7.97011 325.2 469.8 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
/F8 1 Tf
10.90909 0 0 10.90909 338.4 465.84 Tm
0 Tc
[(en)-297(la)-319(fron)33(tera)-308(de)]TJ
/F12 1 Tf
7.447 0 Td
(B)Tj
/F15 1 Tf
7.97011 0 0 7.97011 428.52 469.8 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
/F12 1 Tf
10.90909 0 0 10.90909 438.24 465.84 Tm
0 Tc
(:)Tj
/F8 1 Tf
0.583 0 Td
[(Aplicando)-308(el)]TJ
-34.15499 -1.232 TD
[(teorema)-352(de)-330(P)33(oincar)33<13>]TJ
8.47 0 Td
[(e{Hopf)-363(\(v)33(er)-341(ap)33<13>]TJ
6.512 0 Td
[(endice\))-352(a)]TJ
/F13 1 Tf
4.29 0 Td
<00>Tj
/F12 1 Tf
0.781 0 Td
(f)Tj
/F8 1 Tf
0.924 0 Td
(y)Tj
/F12 1 Tf
0.869 0 Td
(B)Tj
/F15 1 Tf
7.97011 0 0 7.97011 319.2 456.36 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
/F8 1 Tf
10.90909 0 0 10.90909 332.64 452.4 Tm
0 Tc
[(se)-330(tiene)-341(que)]TJ
/F14 1 Tf
-11.638 -1.386 TD
(X)Tj
/F15 1 Tf
7.97011 0 0 7.97011 205.32 413.64 Tm
(p)Tj
/F16 1 Tf
0.54202 0 Td
(2)Tj
/F15 1 Tf
0.70764 0 Td
(E)Tj
/F8 1 Tf
10.90909 0 0 10.90909 223.68 426.96 Tm
[(signo)-341(\(det)-11(\()]TJ
/F13 1 Tf
4.73 0 Td
<00>Tj
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
1.969 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
[(\)\)\))-286(=)]TJ
/F12 1 Tf
3.003 0 Td
<1F>Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
(B)Tj
/F15 1 Tf
7.97011 0 0 7.97011 353.64 431.52 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
/F8 1 Tf
10.90909 0 0 10.90909 363.36 426.96 Tm
0 Tc
(\))Tj
/F12 1 Tf
0.385 0 Td
(;)Tj
/F8 1 Tf
-27.09299 -3.355 TD
(donde)Tj
/F12 1 Tf
2.992 0 Td
<1F>Tj
/F8 1 Tf
0.627 0 Td
(\()Tj
/F12 1 Tf
(B)Tj
/F15 1 Tf
7.97011 0 0 7.97011 124.56 394.32 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
/F8 1 Tf
10.90909 0 0 10.90909 134.4 390.36 Tm
0 Tc
[(\))-385(denota)-385(la)-396(caracter)110<13>]TJ
8.745 0 Td
[(\020stica)-418(de)-385(Euler)-374(de)]TJ
/F12 1 Tf
8.184 0 Td
(B)Tj
/F15 1 Tf
7.97011 0 0 7.97011 327.96 394.32 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
/F12 1 Tf
10.90909 0 0 10.90909 337.68 390.36 Tm
0 Tc
(:)Tj
/F8 1 Tf
0.66 0 Td
[(Dado)-396(que)]TJ
/F12 1 Tf
4.62 0 Td
(B)Tj
/F15 1 Tf
7.97011 0 0 7.97011 404.16 394.32 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
/F8 1 Tf
10.90909 0 0 10.90909 418.08 390.36 Tm
0 Tc
[(es)-385(difeomorfa)-385(a)-385(la)]TJ
-31.724 -1.243 TD
[(b)-33(ola)-352(unitaria)-363(en)]TJ
/F12 1 Tf
7.37 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 162.84 380.76 Tm
0 Tc
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 180.6 376.8 Tm
[(se)-352(tiene)-363(que)]TJ
/F12 1 Tf
5.533 0 Td
<1F>Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
(B)Tj
/F15 1 Tf
7.97011 0 0 7.97011 260.88 380.76 Tm
-0.015 Tc
[<0E3B>-15<0F>]TJ
/F8 1 Tf
10.90909 0 0 10.90909 270.72 376.8 Tm
0 Tc
[(\))-319(=)-308(1)-363(\(la)-363(caracter)110<13>]TJ
7.656 0 Td
[(\020stica)-385(de)-352(Euler)-352(de)-352(b)-33(ola)-363(unitaria)]TJ
-25.872 -1.243 TD
[(es)-341(1\))-341(y)-330(p)-33(or)-319(lo)-341(tan)33(to)]TJ
/F14 1 Tf
8.811 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 179.64 360 Tm
(p)Tj
/F16 1 Tf
0.54203 0 Td
(2)Tj
/F15 1 Tf
0.70764 0 Td
(E)Tj
/F8 1 Tf
10.90909 0 0 10.90909 201 363.24 Tm
[<13>385(\020ndice)-330(\()]TJ
/F12 1 Tf
3.377 0 Td
(p)Tj
/F8 1 Tf
0.286 Tc
[(\)=)11(1)286(.)]TJ
/F17 1 Tf
-15.202 -1.771 TD
0 Tc
[(Corolario)-418(18)]TJ
/F8 1 Tf
7.029 0 Td
[(En)-352(to)-33(da)-363(econom)110<13>]TJ
7.194 0 Td
[<1061>-374(regular,)-363(el)-363(conjun)33(to)]TJ
/F12 1 Tf
10.054 0 Td
(E)Tj
/F8 1 Tf
1.155 0 Td
[(de)-363(los)-363(precios)-363(de)-352(equilibrio)-363(tiene)]TJ
-25.432 -1.232 TD
[(un)-319(n)-33<13>]TJ
2.002 0 Td
[(umero)-330(impar)-330(de)-330(elemen)33(tos.)-352(En)-330(particular)]TJ
/F12 1 Tf
18.337 0 Td
(E)Tj
/F13 1 Tf
1.067 0 Td
(6)Tj
/F8 1 Tf
(=)Tj
/F13 1 Tf
1.056 0 Td
(;)Tj
/F12 1 Tf
0.495 0 Td
(:)Tj
/F17 1 Tf
-22.95699 -1.243 TD
(Prueba)Tj
/F8 1 Tf
4.257 0 Td
[(Como)-187<13>385(\020ndice\()]TJ
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.297 Tc
[(\))-11(e)297(s1\023)792(o)]TJ
/F13 1 Tf
9.702 0 Td
0 Tc
<00>Tj
/F8 1 Tf
[(1,)-308(y)]TJ
/F14 1 Tf
2.684 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 264.96 313.68 Tm
(p)Tj
/F16 1 Tf
0.54203 0 Td
(2)Tj
/F15 1 Tf
0.70764 0 Td
(E)Tj
/F8 1 Tf
10.90909 0 0 10.90909 282.72 316.92 Tm
[<13>385(\020ndice\()]TJ
/F12 1 Tf
3.047 0 Td
(p)Tj
/F8 1 Tf
[(\))-286(=)-275(1,)-297(en)33(tonces)-308(el)-308(n)-33<13>528(umero)-286(de)-297(v)33(eces)-308(que)]TJ
-22.473 -1.243 TD
[<13>385(\020ndice\()]TJ
/F12 1 Tf
3.047 0 Td
(p)Tj
/F8 1 Tf
[(\))-385(=)-363(1)-396(es)-396(uno)-385<6D13>495(as)-396(que)-385(el)-396(n)-33<13>]TJ
12.254 0 Td
[(umero)-385(de)-396(v)33(eces)-407(que)-275<13>385(\020ndice\()]TJ
/F12 1 Tf
11.979 0 Td
(p)Tj
/F8 1 Tf
0.385 Tc
(\)=)Tj
/F13 1 Tf
2.42 0 Td
0 Tc
<00>Tj
/F8 1 Tf
[(1,)-396(luego)]TJ
/F13 1 Tf
4.62 0 Td
(j)Tj
/F12 1 Tf
(E)Tj
/F13 1 Tf
1.067 0 Td
(j)Tj
/F8 1 Tf
0.671 0 Td
[(deb)-33(e)-385(ser)]TJ
-35.94799 -1.243 TD
(impar.)Tj
/F17 1 Tf
0 -1.771 TD
[(Corolario)-385(19)]TJ
/F12 1 Tf
6.952 0 Td
(E)Tj
/F8 1 Tf
1.133 0 Td
[(tiene)-341(un)-352<13>528(unico)-330(elemen)33(to)-363(si)-330(y)-330<7313>495(olo)-352(si)-330(para)-341(cada)]TJ
/F12 1 Tf
20.24 0 Td
(p)Tj
/F13 1 Tf
0.781 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
(E)Tj
/F8 1 Tf
0.792 0 Td
[(,)-330(tenemos)-341(que)]TJ
-19.15099 -2.717 TD
(signo)Tj
/F14 1 Tf
2.398 1.419 TD
<12>Tj
/F8 1 Tf
0.726 -1.419 TD
(det)Tj
/F14 1 Tf
1.562 1.419 TD
<14>Tj
/F12 1 Tf
0.979 -0.792 TD
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(p)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
1.804 0 Td
(p)Tj
/F13 1 Tf
-2.948 -1.243 TD
<00>Tj
/F12 1 Tf
0.781 0 Td
(p)Tj
/F15 1 Tf
7.97011 0 0 7.97011 280.08 238.08 Tm
(t)Tj
/F8 1 Tf
10.90909 0 0 10.90909 298.32 234.12 Tm
(0)Tj
/F14 1 Tf
0.957 2.035 TD
<1513>Tj
/F8 1 Tf
1.54 -1.419 TD
0.275 Tc
(=\()Tj
/F13 1 Tf
1.441 0 Td
0 Tc
<00>Tj
/F8 1 Tf
0.781 0 Td
(1\))Tj
/F15 1 Tf
7.97011 0 0 7.97011 359.4 245.4 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 373.44 240.84 Tm
(:)Tj
/F17 1 Tf
-27.63199 -2.882 TD
(Prueba)Tj
/F8 1 Tf
4.323 0 Td
(\(=)Tj
/F13 1 Tf
1.001 0 Td
(\))Tj
/F8 1 Tf
[(\))-330(Sea)]TJ
/F12 1 Tf
3.531 0 Td
(p)Tj
/F13 1 Tf
0.781 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
(E)Tj
/F8 1 Tf
0.792 0 Td
[(,)-330(p)-33(or)-319(el)-330(teorema)-341(del)-220<13>385(\020ndice)]TJ
/F14 1 Tf
11.77 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 336 206.16 Tm
(q)Tj
/F16 1 Tf
0.51191 0 Td
(2)Tj
/F15 1 Tf
0.70764 0 Td
(E)Tj
/F8 1 Tf
10.90909 0 0 10.90909 352.8 209.4 Tm
(\()Tj
/F13 1 Tf
0.385 0 Td
<00>Tj
/F8 1 Tf
0.781 0 Td
(1\))Tj
/F15 1 Tf
7.97011 0 0 7.97011 375.12 213.36 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 389.16 209.4 Tm
[(signo)-176(\(det)-176(\()]TJ
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
5.918 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(q)Tj
/F8 1 Tf
0.484 0 Td
(\))Tj
/F12 1 Tf
(=T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 479.16 207.72 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 483.96 209.4 Tm
0.011 Tc
[(\)\))-264(=)]TJ
-37.76299 -1.397 TD
0 Tc
[(1,)-231(p)-33(ero)-220(como)]TJ
/F12 1 Tf
5.643 0 Td
(E)Tj
/F8 1 Tf
1.067 0 Td
(=)Tj
/F13 1 Tf
1.056 0 Td
(f)Tj
/F12 1 Tf
(p)Tj
/F13 1 Tf
(g)Tj
/F8 1 Tf
[(,)-242(en)33(tonces)-231(\()]TJ
/F13 1 Tf
<00>Tj
/F8 1 Tf
(1\))Tj
/F15 1 Tf
7.97011 0 0 7.97011 243.72 198.12 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 257.76 194.16 Tm
[(signo)-176(\(det)-176(\()]TJ
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
5.918 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(q)Tj
/F8 1 Tf
0.869 0 Td
(\))Tj
/F12 1 Tf
0.385 0 Td
(=T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 347.76 192.48 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 352.56 194.16 Tm
0.275 Tc
[(\))264(\)=1)275(.)44(A)275(s)385<13>]TJ
4.257 0 Td
0 Tc
[<10>-231(signo)-165(\()-11(det)-165(\()]TJ
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
6.413 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(q)Tj
/F8 1 Tf
0.869 0 Td
(\))Tj
/F12 1 Tf
0.385 0 Td
(=T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 494.4 192.48 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 499.32 194.16 Tm
[(\)\))-286(=)]TJ
-39.17099 -1.243 TD
(\()Tj
/F13 1 Tf
0.385 0 Td
<00>Tj
/F8 1 Tf
0.781 0 Td
(1\))Tj
/F15 1 Tf
7.97011 0 0 7.97011 94.32 184.56 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 108.36 180.6 Tm
[(,)-341(para)-330(to)-33(do)]TJ
/F12 1 Tf
5.203 0 Td
(p)Tj
/F13 1 Tf
0.781 0 Td
(2)Tj
/F12 1 Tf
0.935 0 Td
(E)Tj
/F8 1 Tf
0.792 0 Td
(.)Tj
-9.493 -1.243 TD
[(Rec)110<13>]TJ
1.617 0 Td
[(\020pro)-33(camen)33(te,)-319(si)-308(signo)-165(\()-11(det)-165(\()]TJ
/F12 1 Tf
11.627 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(q)Tj
/F8 1 Tf
0.484 0 Td
(\))Tj
/F12 1 Tf
(=T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 271.8 165.36 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 276.6 167.04 Tm
[(\)\))-286(=)-275(\()]TJ
/F13 1 Tf
2.497 0 Td
<00>Tj
/F8 1 Tf
0.781 0 Td
(1\))Tj
/F15 1 Tf
7.97011 0 0 7.97011 321.96 171 Tm
(l)Tj
/F16 1 Tf
0.33124 0 Td
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 339.24 167.04 Tm
[(para)-297(to)-33(do)]TJ
/F12 1 Tf
4.521 0 Td
(p)Tj
/F13 1 Tf
0.781 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
(E)Tj
/F8 1 Tf
0.792 0 Td
[(,)-297(p)-33(or)-297(la)-308<6613>495(orm)33(ula)-297(de)]TJ
-31.64699 -1.243 TD
[<13>385(\020ndice)-341(obtenemos)]TJ
/F14 1 Tf
7.953 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 169.08 150.24 Tm
(p)Tj
/F16 1 Tf
0.54202 0 Td
(2)Tj
/F15 1 Tf
0.70764 0 Td
(E)Tj
/F8 1 Tf
10.90909 0 0 10.90909 187.92 153.48 Tm
[(1)-286(=)-275(1,)-341(es)-330(decir)]TJ
/F13 1 Tf
6.567 0 Td
(j)Tj
/F12 1 Tf
(E)Tj
/F13 1 Tf
1.067 0 Td
(j)Tj
/F8 1 Tf
0.561 0 Td
0.275 Tc
[(=1)275(.)]TJ
/F17 1 Tf
-18.821 -1.771 TD
0 Tc
(Nota)Tj
/F8 1 Tf
3.377 0 Td
[(Si)-418(para)-407(cada)]TJ
/F12 1 Tf
6.028 0 Td
(p)Tj
/F13 1 Tf
0.924 0 Td
(2)Tj
/F12 1 Tf
1.078 0 Td
(E)Tj
/F8 1 Tf
1.21 0 Td
[(en)-418(una)-407(econom)110<13>]TJ
6.71 0 Td
[<1061>-440(regular,)]TJ
/F12 1 Tf
4.961 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
[(\))-418(es)-418(negativ)55(a)-440(quaside\fnida)-407(en)]TJ
/F12 1 Tf
-25.476 -1.243 TD
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 78.36 118.92 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 83.16 120.6 Tm
[(,)-418(esto)-418(es)]TJ
/F12 1 Tf
4.081 0 Td
(v)Tj
/F15 1 Tf
7.97011 0 0 7.97011 133.32 124.56 Tm
(t)Tj
/F13 1 Tf
10.90909 0 0 10.90909 139.92 120.6 Tm
<01>Tj
/F12 1 Tf
0.55 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(p)Tj
/F8 1 Tf
0.891 0 Td
(\))Tj
/F12 1 Tf
0.451 Tc
(v<)Tj
/F8 1 Tf
2.508 0 Td
0 Tc
[(0)-418(para)-418(to)-33(do)]TJ
/F12 1 Tf
5.654 0 Td
(v)Tj
/F13 1 Tf
0.935 0 Td
(6)Tj
/F8 1 Tf
0.407 Tc
[(=0)-11(e)407(n)]TJ
/F12 1 Tf
3.52 0 Td
0 Tc
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 312.6 118.92 Tm
(p)Tj
/F8 1 Tf
10.90909 0 0 10.90909 317.28 120.6 Tm
[(,)-418(en)33(tonces)-429(se)-418(satisface)-429(la)-429(condici\023)495(on)-418(del)]TJ
-22.484 -1.243 TD
[(corolario)-308(19)-286(\(to)-33(da)-297(matriz)]TJ
/F12 1 Tf
11.11 0 Td
(m)Tj
/F13 1 Tf
1.001 0 Td
<02>Tj
/F12 1 Tf
0.902 0 Td
(m)Tj
/F8 1 Tf
1.166 0 Td
[(negativ)55(a)-297(quaside\fnida,)-275(su)-286(determinan)33(te)-286(tiene)-297(signo)-286(\()]TJ
/F13 1 Tf
22.737 0 Td
<00>Tj
/F8 1 Tf
(1\))Tj
/F15 1 Tf
7.97011 0 0 7.97011 492.84 111 Tm
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 501 107.04 Tm
(,)Tj
-39.325 -1.243 TD
[(v)33(er)-341(McKenzie,)-352(1960\))-352(y)-330(p)-33(or)-330(lo)-341(tan)33(to)-352(el)-341(equilibrio)-341(es)-363<13>528(unico.)]TJ
ET
endstream
endobj
17 0 obj
<<
/Length 20799
>>
stream
/GS4 gs
BT
/F11 1 Tf
10.90909 0 0 10.90909 181.8 722.16 Tm
0 g
[(equilibrio)-374(w)88(alrasiano)-363(en)-363(econom)]TJ
16.731 0.088 TD
<13>Tj
0.121 -0.088 TD
[(\020as)-363(de)-374(inter)22(cambio)]TJ
/F8 1 Tf
15.576 0 Td
(15)Tj
/F7 1 Tf
14.34624 0 0 14.34624 114.48 686.4 Tm
[(Ap)25<13>534(endice)]TJ
/F17 1 Tf
10.90909 0 0 10.90909 114.48 662.04 Tm
[(De\fnici\023)572(on)]TJ
/F8 1 Tf
0.726 -1.93599 TD
[((a))-517(Una)-275(orien)33(taci\023)495(on)-297(para)-275(un)-253(espacio)-297(v)33(ectorial)-297(real)]TJ
/F12 1 Tf
21.824 0 Td
(V)Tj
/F8 1 Tf
1.078 0 Td
[(de)-275(dimensi\023)495(on)-264(\fnita)]TJ
/F12 1 Tf
8.492 0 Td
(n)Tj
/F8 1 Tf
0.605 0 Td
[(,)-275(es)-275(una)-264(clase)-286(de)]TJ
-30.217 -1.243 TD
[(equiv)55(alencia)-286(en)-264(el)-275(conjun)33(to)-275(de)-264(bases)-275(ordenadas)-264(de)]TJ
/F12 1 Tf
21.615 0 Td
(V)Tj
/F8 1 Tf
0.803 0 Td
[(,)-264(donde)-264(la)-275(relaci\023)495(on)-286(de)-275(equiv)55(alencia)]TJ
-22.41799 -1.243 TD
[(es)-396(dada)-407(p)-33(or:)-396(\()]TJ
/F12 1 Tf
6.292 0 Td
(b)Tj
/F16 1 Tf
7.97011 0 0 7.97011 215.16 617.76 Tm
(0)Tj
/F4 1 Tf
0 -0.85821 TD
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 219.84 613.8 Tm
0.165 Tc
[(;:::)-22(;b)]TJ
/F16 1 Tf
7.97011 0 0 7.97011 248.76 617.76 Tm
0 Tc
(0)Tj
/F15 1 Tf
0 -0.84315 TD
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 254.4 613.8 Tm
[(\))-407(determina)-407(la)-407(misma)-407(orien)33(taci\023)495(on)-418(que)-396(la)-418(base)-396(\()]TJ
/F12 1 Tf
20.999 0 Td
(b)Tj
/F4 1 Tf
7.97011 0 0 7.97011 488.16 612.12 Tm
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 492.96 613.8 Tm
0.165 Tc
[(;:::)-22(;b)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 521.88 612.12 Tm
0 Tc
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 527.52 613.8 Tm
[(\),)-407(si)]TJ
/F12 1 Tf
-35.35399 -1.243 TD
(b)Tj
/F16 1 Tf
7.97011 0 0 7.97011 146.52 604.2 Tm
(0)Tj
/F15 1 Tf
0 -0.87326 TD
(i)Tj
/F8 1 Tf
10.90909 0 0 10.90909 152.88 600.2401 Tm
(=)Tj
/F14 1 Tf
1.056 0.748 TD
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 175.92 597 Tm
(j)Tj
/F12 1 Tf
10.90909 0 0 10.90909 182.16 600.2401 Tm
(a)Tj
/F15 1 Tf
7.97011 0 0 7.97011 187.92 598.56 Tm
(ij)Tj
/F12 1 Tf
10.90909 0 0 10.90909 195.12 600.2401 Tm
(b)Tj
/F15 1 Tf
7.97011 0 0 7.97011 199.8 598.56 Tm
(j)Tj
/F8 1 Tf
10.90909 0 0 10.90909 207.84 600.2401 Tm
[(con)-341(det\()]TJ
/F12 1 Tf
3.608 0 Td
(a)Tj
/F15 1 Tf
7.97011 0 0 7.97011 252.96 598.56 Tm
(ij)Tj
/F8 1 Tf
10.90909 0 0 10.90909 260.28 600.2401 Tm
(\))Tj
/F12 1 Tf
0.671 0 Td
(>)Tj
/F8 1 Tf
1.056 0 Td
[(0.)-341(La)-330(orien)33(taci\023)495(on)-363(opuesta)-330(se)-341(determina)-330(si)-341(det\()]TJ
/F12 1 Tf
20.053 0 Td
(a)Tj
/F15 1 Tf
7.97011 0 0 7.97011 503.64 598.56 Tm
(ij)Tj
/F8 1 Tf
10.90909 0 0 10.90909 510.96 600.2401 Tm
(\))Tj
/F12 1 Tf
0.671 0 Td
(<)Tj
/F8 1 Tf
1.056 0 Td
(0)Tj
/F12 1 Tf
0.495 0 Td
(:)Tj
/F8 1 Tf
-36.05799 -1.628 TD
[(T)88(o)-33(do)-429(espacio)-440(v)33(ectorial)-462(de)-429(dimensi\023)495(on)-429(\fnita)-429(tiene)-440(exactamen)33(te)-462(dos)-429(orien)33(taciones.)-462(La)]TJ
0 -1.24299 TD
[(orien)33(taci\023)495(on)-352(can\023)495(onica)-352(en)]TJ
/F12 1 Tf
10.582 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 267.72 572.88 Tm
0 Tc
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 276.96 568.92 Tm
[(corresp)-33(onde)-319(a)-341(la)-341(base)-341(\(1)]TJ
/F12 1 Tf
10.593 0 Td
(;)Tj
/F8 1 Tf
0.44 0 Td
(0)Tj
/F12 1 Tf
0.165 Tc
[(;:::)-33(;)]TJ
/F8 1 Tf
2.728 0 Td
0 Tc
(0\))Tj
/F12 1 Tf
0.165 Tc
[(;:::)-33(;)]TJ
/F8 1 Tf
3.113 0 Td
0 Tc
(\(0)Tj
/F12 1 Tf
0.165 Tc
[(;:::)-33(;)]TJ
/F8 1 Tf
3.113 0 Td
0 Tc
(0)Tj
/F12 1 Tf
0.495 0 Td
(;)Tj
/F8 1 Tf
0.44 0 Td
(1\).)Tj
-35.14499 -2.013 TD
[((b))-506(Una)-473(v)55(ariedad)-473(diferencial)]TJ
/F12 1 Tf
13.222 0 Td
(C)Tj
/F15 1 Tf
7.97011 0 0 7.97011 274.68 550.92 Tm
(r)Tj
/F8 1 Tf
10.90909 0 0 10.90909 284.4 546.96 Tm
[(orien)33(tada)-484(consiste)-484(de)-473(una)-462(v)55(ariedad)]TJ
/F12 1 Tf
16.148 0 Td
(M)Tj
/F8 1 Tf
1.551 0 Td
[(jun)33(to)-473(con)-473(una)]TJ
-30.76699 -1.243 TD
[(elecci\023)495(on)-363(de)-341(orien)33(taci\023)495(on)-374(para)-341(cada)]TJ
/F12 1 Tf
14.861 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 310.32 531.72 Tm
(x)Tj
/F8 1 Tf
10.90909 0 0 10.90909 315.6 533.4 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(M)Tj
/F8 1 Tf
1.078 0 Td
[(\))-352(\(espacio)-363(tangen)33(te)-363(de)]TJ
/F12 1 Tf
10.021 0 Td
(M)Tj
/F8 1 Tf
1.43 0 Td
(en)Tj
/F12 1 Tf
1.342 0 Td
(x)Tj
/F8 1 Tf
[(\),)-352(tal)-352(que)-341(para)]TJ
-30.18399 -1.243 TD
(cada)Tj
/F12 1 Tf
2.332 0 Td
(x)Tj
/F13 1 Tf
0.847 0 Td
(2)Tj
/F12 1 Tf
0.957 0 Td
(M)Tj
/F8 1 Tf
1.408 0 Td
[(existe)-352(un)-319(v)33(ecindario)-352(abierto)]TJ
/F12 1 Tf
12.441 0 Td
(U)Tj
/F8 1 Tf
1.122 0 Td
(de)Tj
/F12 1 Tf
1.342 0 Td
(x)Tj
/F8 1 Tf
0.902 0 Td
(en)Tj
/F12 1 Tf
1.342 0 Td
(M)Tj
/F8 1 Tf
1.408 0 Td
[(y)-341(un)-319(difeomor\fsmo)]TJ
/F12 1 Tf
8.734 0 Td
(C)Tj
/F15 1 Tf
7.97011 0 0 7.97011 508.68 523.8 Tm
(r)Tj
/F8 1 Tf
10.90909 0 0 10.90909 513.24 519.84 Tm
(,)Tj
/F12 1 Tf
0.616 0 Td
(h)Tj
/F8 1 Tf
0.902 0 Td
(que)Tj
-35.56299 -1.243 TD
[(map)-33(ea)]TJ
/F12 1 Tf
3.278 0 Td
(U)Tj
/F8 1 Tf
1.221 0 Td
[(sobrey)33(ectiv)55(a)-440(en)-429(un)-418(abierto)-429(de)]TJ
/F12 1 Tf
13.607 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 349.8 510.24 Tm
0 Tc
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 360 506.28 Tm
<13>Tj
0 0 Td
(o)Tj
/F12 1 Tf
0.924 0 Td
(H)Tj
/F15 1 Tf
7.97011 0 0 7.97011 380.04 510.24 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 390.36 506.28 Tm
(=)Tj
/F13 1 Tf
1.199 0 Td
(f)Tj
/F8 1 Tf
0.495 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(x)Tj
/F4 1 Tf
7.97011 0 0 7.97011 419.28 504.6 Tm
(1)Tj
/F12 1 Tf
10.90909 0 0 10.90909 424.2 506.28 Tm
0.165 Tc
[(;:::)-11(;x)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 454.56 504.6 Tm
0 Tc
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 460.32 506.28 Tm
(\))Tj
/F12 1 Tf
0.385 0 Td
(=x)Tj
/F15 1 Tf
7.97011 0 0 7.97011 476.16 504.6 Tm
(n)Tj
/F13 1 Tf
10.90909 0 0 10.90909 486.48 506.28 Tm
<15>Tj
/F8 1 Tf
1.21 0 Td
(0)Tj
/F13 1 Tf
0.495 0 Td
(g)Tj
/F8 1 Tf
[(,)-440(de)-418(tal)]TJ
-33.29699 -1.232 TD
[(manera)-330(que)]TJ
/F12 1 Tf
5.401 0 Td
0.055 Tc
(@h)Tj
/F8 1 Tf
1.155 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(x)Tj
/F8 1 Tf
[(\))-352(manda)-319(la)-341(orien)33(taci\023)495(on)-352(de)]TJ
/F12 1 Tf
12.155 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 356.52 491.16 Tm
(x)Tj
/F8 1 Tf
10.90909 0 0 10.90909 361.8 492.84 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(M)Tj
/F8 1 Tf
1.078 0 Td
[(\))-330(en)-330(la)-341(orien)33(taci\023)495(on)-352(can\023)495(onica)-341(de)]TJ
/F12 1 Tf
13.728 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 537.96 496.8 Tm
0 Tc
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 543.48 492.84 Tm
(.)Tj
-36.81699 -1.243 TD
(Si)Tj
/F12 1 Tf
1.166 0 Td
(M)Tj
/F8 1 Tf
1.408 0 Td
[(es)-341(con)33(v)33(exo)]TJ
/F12 1 Tf
4.95 0 Td
(M)Tj
/F8 1 Tf
1.408 0 Td
[(tiene)-352(exactamen)33(te)-363(dos)-330(orien)33(taciones.)]TJ
-10.659 -2.013 TD
[((c))-517(Sean)]TJ
/F12 1 Tf
4.147 0 Td
0.055 Tc
[(M;)-110(N)]TJ
/F8 1 Tf
2.739 0 Td
0 Tc
[(v)55(ariedades)]TJ
/F12 1 Tf
4.906 0 Td
(C)Tj
/F15 1 Tf
7.97011 0 0 7.97011 260.28 461.28 Tm
(r)Tj
/F12 1 Tf
10.90909 0 0 10.90909 268.68 457.32 Tm
(n)Tj
/F8 1 Tf
[(-dimensionales)-374(orien)33(tadas)-374(sin)-363(fron)33(tera)-374(y)-363(sea)]TJ
/F12 1 Tf
20.163 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(:)Tj
/F12 1 Tf
0.44 0 Td
(M)Tj
/F13 1 Tf
1.408 0 Td
-0.176 Tc
<0021>Tj
/F12 1 Tf
1.936 0 Td
0 Tc
(N)Tj
/F8 1 Tf
-36.17899 -1.243 TD
[(una)-451(funci\023)495(on)]TJ
/F12 1 Tf
5.72 0 Td
(C)Tj
/F15 1 Tf
7.97011 0 0 7.97011 212.88 447.72 Tm
(r)Tj
/F8 1 Tf
10.90909 0 0 10.90909 217.32 443.76 Tm
0.462 Tc
[(.S)462(i)]TJ
/F12 1 Tf
2.035 0 Td
0 Tc
(M)Tj
/F8 1 Tf
1.54 0 Td
[(es)-462(compacto)-473(y)]TJ
/F12 1 Tf
6.908 0 Td
(N)Tj
/F8 1 Tf
1.375 0 Td
[(conexo,)-473(en)33(tonces)-473(el)-462(grado)-462(de)]TJ
/F12 1 Tf
13.409 0 Td
(f)Tj
/F8 1 Tf
1.056 0 Td
[(se)-462(de\fne)]TJ
-33.24199 -1.243 TD
[(de)-385(la)-396(siguien)33(te)-407(manera)-396(grado)-11(\()]TJ
/F12 1 Tf
13.211 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
0.374 Tc
(\)=)Tj
/F14 1 Tf
1.914 0.748 TD
0 Tc
(P)Tj
/F15 1 Tf
7.97011 0 0 7.97011 324.96 426.96 Tm
(x)Tj
/F16 1 Tf
0.60225 0 Td
(2)Tj
/F15 1 Tf
0.70764 0 Td
(f)Tj
/F21 1 Tf
5.97758 0 0 5.97758 340.32 429.24 Tm
<00>Tj
/F9 1 Tf
0.9636 0 Td
(1)Tj
/F4 1 Tf
7.97011 0 0 7.97011 350.16 426.96 Tm
(\()Tj
/F15 1 Tf
0.40652 0 Td
(y)Tj
/F4 1 Tf
0.55708 0 Td
(\))Tj
/F8 1 Tf
10.90909 0 0 10.90909 363.6 430.2 Tm
(signo\()Tj
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
3.795 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(x)Tj
/F8 1 Tf
[(\)\),)-407(donde)]TJ
/F12 1 Tf
5.412 0 Td
(y)Tj
/F13 1 Tf
0.902 0 Td
(2)Tj
/F12 1 Tf
1.034 0 Td
(N)Tj
/F8 1 Tf
1.309 0 Td
[(es)-396(tal)-396(que)]TJ
/F12 1 Tf
-32.78 -1.408 TD
(x)Tj
/F13 1 Tf
0.858 0 Td
(2)Tj
/F12 1 Tf
0.968 0 Td
(f)Tj
/F16 1 Tf
7.97011 0 0 7.97011 168.36 418.8 Tm
<00>Tj
/F4 1 Tf
0.82809 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 179.52 414.84 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(y)Tj
/F8 1 Tf
0.528 0 Td
[(\))-352(implica)-352(que)]TJ
/F12 1 Tf
6.116 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(x)Tj
/F8 1 Tf
0.957 0 Td
(\):)Tj
/F12 1 Tf
0.825 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 294.96 413.16 Tm
(x)Tj
/F8 1 Tf
10.90909 0 0 10.90909 300.36 414.84 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(M)Tj
/F8 1 Tf
1.078 0 Td
(\))Tj
/F13 1 Tf
0.682 0 Td
-0.165 Tc
<0021>Tj
/F12 1 Tf
1.914 0 Td
0 Tc
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 351 413.16 Tm
(y)Tj
/F8 1 Tf
10.90909 0 0 10.90909 355.92 414.84 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(N)Tj
/F8 1 Tf
0.913 0 Td
[(\))-352(es)-341(un)-341(isomor\fsmo)-341(lineal)-352(\()]TJ
/F12 1 Tf
11.957 0 Td
(y)Tj
/F8 1 Tf
0.88 0 Td
(siempre)Tj
-33.759 -1.243 TD
[(existe)-385(p)-33(or)-363(el)-374(teorema)-385(de)-374(Sard,)-363(v)33(er)-374(Milnor)-374(\(1965\)\))-407(y)-374(signo\()]TJ
/F12 1 Tf
25.72899 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(x)Tj
/F8 1 Tf
[(\)\))-385(se)-374(de\fne)-363(como)-385(+1)]TJ
-27.30199 -1.243 TD
(si)Tj
/F12 1 Tf
1.001 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(x)Tj
/F8 1 Tf
[(\))-341(preserv)55(a)-330(orien)33(taci\023)495(on)-352(y)-330(como)]TJ
/F13 1 Tf
14.223 0 Td
<00>Tj
/F8 1 Tf
[(1)-330(si)-341(la)-341(in)33(vierte.)-341(El)-341(grado\()]TJ
/F12 1 Tf
11.737 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
[(\))-341(no)-330(dep)-33(ende)-319(de)]TJ
/F12 1 Tf
7.359 0 Td
(y)Tj
/F8 1 Tf
0.528 0 Td
(.)Tj
/F17 1 Tf
-39.14899 -2.431 TD
[(De\fnici\023)572(on)]TJ
/F8 1 Tf
5.654 0 Td
(Sea)Tj
/F12 1 Tf
1.771 0 Td
(N)Tj
/F13 1 Tf
1.188 0 Td
<12>Tj
/F12 1 Tf
1.056 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 230.4 365.16 Tm
0 Tc
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 241.44 361.2 Tm
[(una)-264(v)55(ariedad)]TJ
/F12 1 Tf
5.863 0 Td
(n)Tj
/F8 1 Tf
(-dimensional)Tj
/F12 1 Tf
6.38 0 Td
(C)Tj
/F4 1 Tf
7.97011 0 0 7.97011 383.64 365.16 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 391.32 361.2 Tm
[(con)-275(fron)33(tera.)-297(Un)-264(camp)-33(o)-286(v)33(ectorial)]TJ
-25.377 -1.243 TD
(tangencial)Tj
/F12 1 Tf
4.708 0 Td
(C)Tj
/F15 1 Tf
7.97011 0 0 7.97011 174.48 351.6 Tm
(r)Tj
/F8 1 Tf
10.90909 0 0 10.90909 181.68 347.64 Tm
(en)Tj
/F12 1 Tf
1.265 0 Td
(N)Tj
/F8 1 Tf
1.166 0 Td
[(es)-253(una)-253(funci\023)495(on)]TJ
/F12 1 Tf
6.413 0 Td
(C)Tj
/F15 1 Tf
7.97011 0 0 7.97011 286.8 351.6 Tm
(r)Tj
/F8 1 Tf
10.90909 0 0 10.90909 291.24 347.64 Tm
(,)Tj
/F12 1 Tf
0.539 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(:)Tj
/F12 1 Tf
0.44 0 Td
(N)Tj
/F13 1 Tf
1.188 0 Td
-0.176 Tc
<0021>Tj
/F12 1 Tf
1.881 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 352.44 351.6 Tm
0 Tc
(m)Tj
/F8 1 Tf
10.90909 0 0 10.90909 363.24 347.64 Tm
[(tal)-264(que)]TJ
/F12 1 Tf
3.201 0 Td
(f)Tj
/F8 1 Tf
0.605 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(x)Tj
/F8 1 Tf
(\))Tj
/F13 1 Tf
1.232 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 439.08 345.96 Tm
(x)Tj
/F8 1 Tf
10.90909 0 0 10.90909 444.36 347.64 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(N)Tj
/F8 1 Tf
0.913 0 Td
[(\))-264(para)-253(to)-33(do)]TJ
/F12 1 Tf
5.082 0 Td
(x)Tj
/F13 1 Tf
0.847 0 Td
(2)Tj
/F12 1 Tf
0.946 0 Td
(N)Tj
/F8 1 Tf
0.913 0 Td
(.)Tj
-37.77399 -1.738 TD
(Sea)Tj
/F12 1 Tf
1.826 0 Td
(U)Tj
/F13 1 Tf
1.067 0 Td
<12>Tj
/F12 1 Tf
1.056 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 184.92 332.64 Tm
0 Tc
(s)Tj
/F8 1 Tf
10.90909 0 0 10.90909 192.84 328.68 Tm
[(un)-308(conjun)33(to)-330(abierto)-330(y)]TJ
/F12 1 Tf
9.757 0 Td
(v)Tj
/F8 1 Tf
0.517 0 Td
(:)Tj
/F12 1 Tf
0.44 0 Td
(U)Tj
/F13 1 Tf
1.078 0 Td
-0.176 Tc
<0021>Tj
/F12 1 Tf
1.892 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 352.56 332.64 Tm
0 Tc
(s)Tj
/F8 1 Tf
10.90909 0 0 10.90909 360.36 328.68 Tm
[(un)-308(camp)-33(o)-330(v)33(ectorial)-341(tangencial)]TJ
/F12 1 Tf
13.431 0 Td
(C)Tj
/F15 1 Tf
7.97011 0 0 7.97011 515.52 332.64 Tm
(r)Tj
/F8 1 Tf
10.90909 0 0 10.90909 523.44 328.68 Tm
(en)Tj
/F12 1 Tf
1.32 0 Td
(U)Tj
/F8 1 Tf
-38.80799 -1.243 TD
[(con)-341(un)-319(cero)]TJ
/F12 1 Tf
5.379 0 Td
(z)Tj
/F8 1 Tf
0.847 0 Td
(\()Tj
/F12 1 Tf
(f)Tj
/F8 1 Tf
0.99 0 Td
(\()Tj
/F12 1 Tf
(z)Tj
/F8 1 Tf
0.891 0 Td
[(\))-286(=)-264(0\))-341(aislado)-341(en)]TJ
/F12 1 Tf
7.601 0 Td
(U)Tj
/F8 1 Tf
0.792 0 Td
[(.)-330(La)-341(funci\023)495(on)-363<16>]TJ
/F12 1 Tf
5.588 0 Td
(v)Tj
/F8 1 Tf
0.517 0 Td
(\()Tj
/F12 1 Tf
(x)Tj
/F8 1 Tf
0.286 Tc
(\)=)Tj
/F12 1 Tf
2.684 0 Td
0 Tc
(v)Tj
/F8 1 Tf
0.517 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(x)Tj
/F8 1 Tf
(\))Tj
/F12 1 Tf
(=)Tj
/F13 1 Tf
1.452 0 Td
(k)Tj
/F12 1 Tf
(v)Tj
/F8 1 Tf
1.012 0 Td
(\()Tj
/F12 1 Tf
(x)Tj
/F8 1 Tf
0.957 0 Td
(\))Tj
/F13 1 Tf
(k)Tj
/F8 1 Tf
1.254 0 Td
[(map)-33(ea)-330(una)-319(p)-33(eque)-33(~)]TJ
7.689 0 Td
(na)Tj
-38.55499 -1.232 TD
[(esfera)-363(con)-352(cen)33(tro)]TJ
/F12 1 Tf
7.744 0 Td
(z)Tj
/F8 1 Tf
0.858 0 Td
[(en)-352(la)-363(esfera)-363(unitaria)-352(de)]TJ
/F12 1 Tf
10.472 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 333 305.64 Tm
0 Tc
(s)Tj
/F8 1 Tf
10.90909 0 0 10.90909 337.44 301.68 Tm
[(,)-352(am)33(bas)-363(esferas)-352(con)-363(la)-352(orien)33(taci\023)495(on)-385(can\023)495(onica.)]TJ
-20.438 -1.243 TD
[(El)-341(grado)-341(de)-330(esta)-341(funci\023)495(on)-330(es)-330(llamada)-352(el)-231<13>385(\020ndice)]TJ
/F12 1 Tf
19.888 0 Td
(i)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
(z)Tj
/F8 1 Tf
1.232 0 Td
0.352 Tc
[(\)d)352(e)]TJ
/F12 1 Tf
2.068 0 Td
0 Tc
(v)Tj
/F8 1 Tf
0.858 0 Td
(en)Tj
/F12 1 Tf
1.331 0 Td
(z)Tj
/F8 1 Tf
0.506 0 Td
(.)Tj
-24.332 -1.243 TD
[(Sup)-33(onga)-374(que)]TJ
/F12 1 Tf
6.039 0 Td
(X)Tj
/F8 1 Tf
1.287 0 Td
[(es)-374(una)]TJ
/F12 1 Tf
3.201 0 Td
(n)Tj
/F8 1 Tf
[(-v)55(ariedad)]TJ
/F12 1 Tf
5.005 0 Td
(C)Tj
/F4 1 Tf
7.97011 0 0 7.97011 309.48 278.52 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 318.36 274.56 Tm
[(orien)33(tada)-385(y)]TJ
/F12 1 Tf
5.368 0 Td
(v)Tj
/F8 1 Tf
0.891 0 Td
[(un)-374(camp)-33(o)-374(v)33(ectorial)-407(tangencial)-396(en)]TJ
/F12 1 Tf
-24.94799 -1.243 TD
(X)Tj
/F8 1 Tf
0.902 0 Td
[(.)-429(Sup)-33(onga)-407(que)]TJ
/F12 1 Tf
6.82 0 Td
(x)Tj
/F8 1 Tf
1.001 0 Td
[(es)-418(un)-407(cero)-429(aislado)-440(de)]TJ
/F12 1 Tf
9.834 0 Td
(v)Tj
/F8 1 Tf
0.935 0 Td
(en)Tj
/F12 1 Tf
1.43 0 Td
(X)Tj
/F8 1 Tf
1.32 0 Td
[(y)-418(sea)]TJ
/F12 1 Tf
2.706 0 Td
<1E>Tj
/F8 1 Tf
(:)Tj
/F12 1 Tf
1.034 0 Td
(U)Tj
/F13 1 Tf
1.221 0 Td
-0.165 Tc
<0021>Tj
/F12 1 Tf
2.035 0 Td
0 Tc
(X)Tj
/F8 1 Tf
1.331 0 Td
[(una)-407(parametrizaci\023)495(on)]TJ
-30.56899 -1.243 TD
[(alrededor)-473(de)]TJ
/F12 1 Tf
6.006 0 Td
(x)Tj
/F8 1 Tf
1.034 0 Td
(con)Tj
/F12 1 Tf
1.969 0 Td
<1E>Tj
/F8 1 Tf
[((0))-517(=)]TJ
/F12 1 Tf
3.652 0 Td
(x)Tj
/F8 1 Tf
[(.)-473(P)33(ara)-484(cada)]TJ
/F12 1 Tf
6.303 0 Td
(u)Tj
/F13 1 Tf
1.078 0 Td
(2)Tj
/F12 1 Tf
1.166 0 Td
(U)Tj
/F8 1 Tf
0.792 0 Td
[(,)-473(la)-473(deriv)55(ada)]TJ
/F12 1 Tf
6.16 0 Td
0.055 Tc
<401E>Tj
/F8 1 Tf
1.177 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(n)Tj
/F8 1 Tf
(\):)Tj
/F12 1 Tf
1.815 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 464.76 251.4 Tm
0 Tc
(n)Tj
/F13 1 Tf
10.90909 0 0 10.90909 475.92 247.44 Tm
-0.165 Tc
<0021>Tj
/F12 1 Tf
2.112 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 509.4 251.4 Tm
0 Tc
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 520.08 247.44 Tm
[(es)-473(un)]TJ
-37.17999 -1.243 TD
[(isomor\fsmo)-308(lineal.)-319(Denote)]TJ
/F12 1 Tf
11.803 0 Td
<1E>Tj
/F16 1 Tf
7.97011 0 0 7.97011 249.72 237.84 Tm
<03>Tj
/F12 1 Tf
10.90909 0 0 10.90909 254.52 233.88 Tm
(v)Tj
/F8 1 Tf
0.825 0 Td
[(el)-308(camp)-33(o)-308(v)33(ectorial)-330(en)]TJ
/F12 1 Tf
9.515 0 Td
(U)Tj
/F8 1 Tf
1.1 0 Td
[(tal)-319(que)]TJ
/F12 1 Tf
3.3 0 Td
<1E>Tj
/F16 1 Tf
7.97011 0 0 7.97011 421.8 237.84 Tm
<03>Tj
/F12 1 Tf
10.90909 0 0 10.90909 426.6 233.88 Tm
(v)Tj
/F8 1 Tf
0.517 0 Td
(\()Tj
/F12 1 Tf
0.385 0 Td
(u)Tj
/F8 1 Tf
0.286 Tc
[(\)=)11(\()]TJ
/F12 1 Tf
2.684 0 Td
0.055 Tc
<401E>Tj
/F15 1 Tf
7.97011 0 0 7.97011 478.56 232.2 Tm
0 Tc
(u)Tj
/F8 1 Tf
10.90909 0 0 10.90909 484.08 233.88 Tm
(\))Tj
/F16 1 Tf
7.97011 0 0 7.97011 488.28 237.84 Tm
<00>Tj
/F4 1 Tf
0.8281 0 Td
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 499.56 233.88 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(v)Tj
/F8 1 Tf
0.517 0 Td
(\()Tj
/F12 1 Tf
<1E>Tj
/F8 1 Tf
0.979 0 Td
(\()Tj
/F12 1 Tf
(u)Tj
/F8 1 Tf
0.957 0 Td
(\)\)\).)Tj
-36.58599 -1.243 TD
(Como)Tj
/F12 1 Tf
2.915 0 Td
(v)Tj
/F8 1 Tf
0.88 0 Td
[(tiene)-374(un)-352(cero)-363(aislado)-374(en)]TJ
/F12 1 Tf
10.813 0 Td
(x)Tj
/F8 1 Tf
[(,)-363(en)33(tonces)]TJ
/F12 1 Tf
5.269 0 Td
<1E>Tj
/F16 1 Tf
7.97011 0 0 7.97011 354.72 224.28 Tm
<03>Tj
/F12 1 Tf
10.90909 0 0 10.90909 359.4 220.32 Tm
(v)Tj
/F8 1 Tf
0.88 0 Td
[(tiene)-374(un)-352(cero)-363(aislado)-374(en)-363(0.)-363(De\fnimos)]TJ
-23.33099 -1.243 TD
[(el)-264<13>385(\020ndice)]TJ
/F12 1 Tf
4.004 0 Td
(i)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
0.726 0 Td
(x)Tj
/F8 1 Tf
0.374 Tc
[(\)d)374(e)]TJ
/F12 1 Tf
2.651 0 Td
-0.462 Tc
(~v)Tj
/F8 1 Tf
0.913 0 Td
0 Tc
(en)Tj
/F12 1 Tf
1.364 0 Td
(x)Tj
/F8 1 Tf
0.935 0 Td
[(como)-374(el)-253<13>385(\020ndice)-363(de)]TJ
/F12 1 Tf
7.997 0 Td
<1E>Tj
/F16 1 Tf
7.97011 0 0 7.97011 323.76 210.72 Tm
<03>Tj
/F12 1 Tf
10.90909 0 0 10.90909 328.44 206.76 Tm
(v)Tj
/F8 1 Tf
0.891 0 Td
[(en)-352(0.)-374(Esta)-363(de\fnici\023)495(on)-363(es)-363(indep)-33(endien)33(te)-352(de)-363(la)]TJ
-20.50399 -1.243 TD
[(parametrizaci\023)495(on)]TJ
/F12 1 Tf
7.348 0 Td
<1E>Tj
/F8 1 Tf
0.924 0 Td
[(\(v)33(er)-341(Milnor)-341(\(1965\)\).)]TJ
/F17 1 Tf
-8.272 -1.738 TD
[(Prop)-33(osici\023)572(on)-385(A)]TJ
/F8 1 Tf
7.788 0 Td
(Si)Tj
/F12 1 Tf
1.133 0 Td
(x)Tj
/F8 1 Tf
0.88 0 Td
[(es)-308(un)-297(cero)-319(de)-308(un)-297(camp)-33(o)-308(v)33(ectorial)]TJ
/F12 1 Tf
14.575 0 Td
(v)Tj
/F8 1 Tf
0.836 0 Td
(tangencial)Tj
/F12 1 Tf
4.752 0 Td
(C)Tj
/F15 1 Tf
7.97011 0 0 7.97011 450 178.2 Tm
(r)Tj
/F8 1 Tf
10.90909 0 0 10.90909 454.44 174.24 Tm
[(,)-308(en)-308(una)]TJ
/F12 1 Tf
3.806 0 Td
(n)Tj
/F8 1 Tf
[(-v)55(ariedad)]TJ
-34.96899 -1.243 TD
(diferencial)Tj
/F12 1 Tf
4.807 0 Td
(C)Tj
/F4 1 Tf
7.97011 0 0 7.97011 175.56 164.64 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 180.24 160.68 Tm
(,)Tj
/F12 1 Tf
0.605 0 Td
(N)Tj
/F8 1 Tf
1.254 0 Td
[(en)33(tonces)]TJ
/F12 1 Tf
4.026 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
0.385 0 Td
(x)Tj
/F8 1 Tf
[(\))-330(map)-33(ea)]TJ
/F12 1 Tf
4.488 0 Td
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 316.92 159 Tm
(x)Tj
/F8 1 Tf
10.90909 0 0 10.90909 322.2 160.68 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(N)Tj
/F8 1 Tf
0.913 0 Td
0.33 Tc
[(\)e)330(n)]TJ
/F12 1 Tf
2.046 0 Td
0 Tc
(T)Tj
/F15 1 Tf
7.97011 0 0 7.97011 365.04 159 Tm
(x)Tj
/F8 1 Tf
10.90909 0 0 10.90909 370.32 160.68 Tm
(\()Tj
/F12 1 Tf
0.385 0 Td
(N)Tj
/F8 1 Tf
0.913 0 Td
[(\))-341(y)-330(si)-330(adem\023)495(as)]TJ
/F12 1 Tf
6.149 0 Td
0.055 Tc
(@f)Tj
/F8 1 Tf
1.188 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(x)Tj
/F8 1 Tf
[(\))-330(es)-341(un)-319(isomor-)]TJ
-32.08699 -1.243 TD
[(\fsmo)-330(lineal,)-352(tenemos)-341(que)]TJ
/F12 1 Tf
11.319 0 Td
(i)Tj
/F8 1 Tf
(\()Tj
/F12 1 Tf
0.726 0 Td
(z)Tj
/F8 1 Tf
0.506 0 Td
[(\))-297(=)-605(signo)-341(\(det\()]TJ
/F12 1 Tf
0.055 Tc
(@f)Tj
/F8 1 Tf
7.975 0 Td
0 Tc
(\()Tj
/F12 1 Tf
(x)Tj
/F8 1 Tf
(\)\)\).)Tj
/F17 1 Tf
-20.52599 -1.738 TD
[(T)99(eorema)-407(B)-825(\(T)99(eorema)-407(de)-407(P)33(oincar)22<13>]TJ
16.94 0 Td
[(e-Hopf)-110(\))]TJ
/F8 1 Tf
4.697 0 Td
(Sea)Tj
/F12 1 Tf
1.859 0 Td
(N)Tj
/F8 1 Tf
1.265 0 Td
(una)Tj
/F12 1 Tf
1.969 0 Td
(n)Tj
/F8 1 Tf
0.946 0 Td
[(v)55(ariedad)-363(compacta)]TJ
/F12 1 Tf
8.58 0 Td
(C)Tj
/F4 1 Tf
7.97011 0 0 7.97011 518.64 132.12 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 523.32 128.16 Tm
[(,)-352(con)]TJ
-37.477 -1.243 TD
[(fron)33(tera,)-352(orien)33(tada)-341(y)]TJ
/F12 1 Tf
9.35 0 Td
(v)Tj
/F8 1 Tf
0.847 0 Td
[(un)-330(camp)-33(o)-330(v)33(ectorial)-363(tangencial)]TJ
/F12 1 Tf
13.475 0 Td
(C)Tj
/F4 1 Tf
7.97011 0 0 7.97011 381.36 118.56 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 389.64 114.6 Tm
(en)Tj
/F12 1 Tf
1.342 0 Td
(N)Tj
/F8 1 Tf
1.243 0 Td
[(tal)-341(que:)]TJ
-26.86199 -1.936 TD
((i))Tj
/F12 1 Tf
1.562 0 Td
(v)Tj
/F8 1 Tf
0.847 0 Td
[(apun)33(ta)-341(al)-341(exterior)-341(de)]TJ
/F12 1 Tf
9.504 0 Td
(N)Tj
/F8 1 Tf
1.254 0 Td
[(en)-330(cada)-341(pun)33(to)-330(de)-330(la)-341(fron)33(tera)-341(de)]TJ
/F12 1 Tf
14.08 0 Td
(N)Tj
ET
endstream
endobj
18 0 obj
<<
/Length 6740
>>
stream
/GS4 gs
BT
/F8 1 Tf
10.90909 0 0 10.90909 72 722.16 Tm
0 g
(16)Tj
/F11 1 Tf
15.444 0 Td
[(o.)-374(a)22(cu)]TJ
3.168 0.088 TD
(~)Tj
-0.033 -0.088 TD
[(na)-363({)-385(f.)-374(ula)66(te)]TJ
/F8 1 Tf
-17.908 -3.278 TD
((ii))Tj
/F12 1 Tf
1.826 0 Td
(v)Tj
/F8 1 Tf
0.858 0 Td
[(tiene)-341(un)-319(n)-33<13>]TJ
4.444 0 Td
[(umero)-330(\fnito)-330(de)-341(ceros,)]TJ
-7.799 -2.068 TD
[(en)33(tonces)-319(la)-319(suma)-308(de)-308(los)-198<13>385(\020ndices)-308(de)]TJ
/F12 1 Tf
15.037 0 Td
(v)Tj
/F8 1 Tf
0.836 0 Td
[(en)-308(cada)-319(cero)-308(es)-319(igual)-319(a)-308(la)-319(caracter)110<13>]TJ
14.652 0 Td
[(\020stica)-341(de)-308(Euler)-308(de)]TJ
/F12 1 Tf
7.887 0 Td
(N)Tj
/F8 1 Tf
0.913 0 Td
(.)Tj
-37.77399 -1.793 TD
[(La)-297(v)33(ersi\023)495(on)-308(2-dimensional)-297(de)-297(este)-308(teorema)-308(fue)-297(probada)-286(p)-33(or)-286(P)33(oincar)33<13>]TJ
28.66599 0 Td
[(e)-319(en)-297(1885.)-319(El)-297(teorema)]TJ
-30.21699 -1.243 TD
[(general)-341(fue)-330(probado)-330(p)-33(or)-330(Hopf)-330(en)-330(1926.)]TJ
1.551 -1.782 TD
(Si)Tj
/F12 1 Tf
1.276 0 Td
(N)Tj
/F8 1 Tf
1.375 0 Td
(=)Tj
/F12 1 Tf
1.232 0 Td
(B)Tj
/F15 1 Tf
7.97011 0 0 7.97011 140.16 615.2401 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 150.72 611.28 Tm
(=)Tj
/F13 1 Tf
1.243 0 Td
(f)Tj
/F12 1 Tf
0.495 0 Td
(x)Tj
/F13 1 Tf
1.034 0 Td
(2)Tj
/F12 1 Tf
1.122 0 Td
-0.253 Tc
(IR)Tj
/F15 1 Tf
7.97011 0 0 7.97011 203.64 615.2401 Tm
0 Tc
(n)Tj
/F12 1 Tf
10.90909 0 0 10.90909 209.28 611.28 Tm
(=)Tj
/F13 1 Tf
0.495 0 Td
(k)Tj
/F12 1 Tf
0.495 0 Td
(x)Tj
/F13 1 Tf
0.473 Tc
<6B14>Tj
/F8 1 Tf
2.772 0 Td
0 Tc
(1)Tj
/F13 1 Tf
0.495 0 Td
(g)Tj
/F8 1 Tf
0.946 0 Td
[(el)-451(teorema)-451(sigue)-451(siendo)-440<7613>495(alido)-451(si)-451((i))-451(se)-440(remplaza)]TJ
-17.78699 -1.243 TD
[(simpleman)33(te)-396(p)-33(or)-374(el)-396(hec)33(ho)-396(de)-385(que)]TJ
/F12 1 Tf
14.993 0 Td
0.033 Tc
[(v=)33(@)-22(B)]TJ
/F15 1 Tf
7.97011 0 0 7.97011 261.84 601.6801 Tm
0 Tc
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 271.8 597.72 Tm
[(sea)-396(homot\023)495(opica)-396(a)-396(una)-374(funci\023)495(on)]TJ
/F12 1 Tf
13.629 0 Td
(C)Tj
/F4 1 Tf
7.97011 0 0 7.97011 429.12 601.6801 Tm
(1)Tj
/F8 1 Tf
10.90909 0 0 10.90909 438 597.72 Tm
[(que)-385(apun)33(te)-385(al)]TJ
-33.55 -1.243 TD
[(exterior)-341(de)]TJ
/F12 1 Tf
5.038 0 Td
(B)Tj
/F15 1 Tf
7.97011 0 0 7.97011 135.84 588.12 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 141.36 584.16 Tm
[(.)-341(La)-330(caracter)110<13>]TJ
5.555 0 Td
[(\020stica)-374(de)-330(Euler)-330(de)]TJ
/F12 1 Tf
7.986 0 Td
(B)Tj
/F15 1 Tf
7.97011 0 0 7.97011 297.96 588.12 Tm
(n)Tj
/F8 1 Tf
10.90909 0 0 10.90909 307.2 584.16 Tm
[(es)-330(1.)]TJ
-20.009 -1.793 TD
[(P)33(ara)-396(las)-396(pruebas)-374(de)-396(to)-33(dos)-385(estos)-396(resultados)-396(y)-385<6D13>495(as)-396(informaci\023)495(on)-385(v)33(er)-396(p)-33(or)-385(ejemplo)-396(Milnor)]TJ
-1.551 -1.243 TD
[((1965))-363(y)-330(Guillemin{P)33(ollac)33(k)-374((1974).)]TJ
/F7 1 Tf
14.34624 0 0 14.34624 72 519.6 Tm
(Referencias)Tj
/F10 1 Tf
8.96638 0 0 8.96638 76.56 499.8 Tm
[([1])-629(Acu)-27(~)]TJ
3.49305 0 Td
[(na,)-415(Osv)54(aldo)-401(y)-388(Ulate,)-414(F.)-402(1991,)]TJ
/F22 1 Tf
13.90528 0 Td
[(Desarr)53(ol)-54(lo,)-428(pr)54(op)53(osiciones)-456(y)-415(prueb)53(as)-455(matem\023)521(atic)54(as)-442(sobr)53(e)-442(la)-414(te)53(or)107<13>]TJ
27.99793 0 Td
[<1061>-442(de)]TJ
-43.69658 -1.23127 TD
[(demanda)-376(sin)-375(utilidad)]TJ
/F10 1 Tf
9.3951 0 Td
[(,)-348(Revista)-333(Ciencias)-374(Econ\023)509(omicas)-360(V)80(ol)-347(XI,)-335(N)]TJ
/F18 1 Tf
5.97758 0 0 5.97758 340.8 492.6 Tm
(o)Tj
/F10 1 Tf
8.96638 0 0 8.96638 348 488.76 Tm
(1-2.)Tj
-30.2731 -1.65953 TD
[([2])-629(Acu)-27(~)]TJ
3.49305 0 Td
[(na,)-428(Osv)54(aldo)-428(y)-401(Ulate,)-441(F.)-415(1992,)]TJ
/F22 1 Tf
14.02573 0 Td
[(Equilibrio)-429(de)-442(pr)53(e)53(cios)-455(y)-442<13>522(optimo)-442(de)-455(Par)53(eto)-455(en)-442(Inter)53(c)53(ambio)]TJ
/F10 1 Tf
25.70938 0 Td
[(,)-442(Ciencias)]TJ
-41.52848 -1.21788 TD
[(Matem\023)511(aticas)-373(3(1),)-347(pp.)-335(77-90.)]TJ
-1.69968 -1.67291 TD
[([3])-629(Debreu,)-334(G.)-348((1970))]TJ
/F22 1 Tf
10.1981 0 Td
[(Ec)53(onomies)-389(with)-361(a)-374(\fnite)-376(set)-375(of)-375(e)53(quilibria)]TJ
/F10 1 Tf
17.8266 0 Td
[(,)-335(Econometrica)-372(38(3),)-359(pp.)-336(387-392.)]TJ
-28.0247 -1.65953 TD
[([4])-629(Dierk)28(er,)-401(E.)-415((1972))]TJ
/F22 1 Tf
10.33193 0 Td
[(Two)-414(r)53(emarks)-456(on)-416(the)-441(numb)53(er)-429(of)-415(e)53(quilibria)-430(of)-415(an)-428(e)53(c)53(onomy)]TJ
/F10 1 Tf
25.65585 0 Td
[(,)-415(Econometrica)-426(40(5),)-413(pp.)]TJ
-34.2881 -1.23126 TD
(951-953.)Tj
-1.69968 -1.65953 TD
[([5])-629(Guillemin,)-362(V.)-335(and)-348(P)27(ollac)27(k,)-361(A.)-335((1974))]TJ
/F22 1 Tf
18.58945 0 Td
[(Di\013er)52(ential)-375(T)81(op)53(olo)54(gy)]TJ
/F10 1 Tf
9.30142 0 Td
[(.)-361(Englew)26(o)-26(o)-26(d)-376(Cli\013s,)-361(NJ,)-348(Pren)27(tice-Hall.)]TJ
-27.89087 -1.67292 TD
[([6])-629(Hopf,)-334(H.)-335((1926))]TJ
/F22 1 Tf
9.0739 0 Td
[(V)80(ertorfelder)-376(in)]TJ
/F23 1 Tf
6.97272 0 Td
(n)Tj
/F22 1 Tf
0.61563 0 Td
[(-dimensionalen)-377(Mannigtalf)-363(y)-362(Keiten)]TJ
/F10 1 Tf
16.1403 0 Td
[(,)-348(Math)-334(Annalen,)-336(96,)-347(pp.)-336(225-250.)]TJ
-32.80255 -1.65953 TD
[([7])-629(Mas-Collel,)-480(A.)-442((1985))]TJ
/F22 1 Tf
11.99147 0 Td
[(The)-455(the)53(ory)-482(of)-455(gener)51(al)-468(Ec)53(onomic)-469(Equilibrium.)-443(A)-455(di\013er)53(entiable)-470(appr)54(o)53(ach)]TJ
/F10 1 Tf
32.46796 0 Td
[(.)-482(Cam-)]TJ
-42.75975 -1.23127 TD
[(bridge)-348(Univ)26(ersit)28(y)-321(Press,)-359(Cam)27(bridge.)]TJ
-1.69968 -1.65953 TD
[([8])-629(McKenzie,)-281(L.)-268((1960))]TJ
/F22 1 Tf
10.98772 0 Td
[(Matric)53(es)-308(with)-294(dominant)-309(diagonals)-295(and)-308(e)53(c)53(onomic)-309(the)54(ory)]TJ
/F10 1 Tf
24.27736 0 Td
[(.)-281(In:)-268(Mathematical)-279(Metho)-26(ds)]TJ
-33.5654 -1.23127 TD
[(in)-389(So)-26(cial)-402(Sciences,)-388(1959,)-414(K.)-374(Arro)27(w,)-401(S.)-375(Karlin)-388(and)-389(P)81(.)-389(Supp)-28(es)-361((eds.),)-401(pp.)-376(47-62.)-399(Stanford)-388(CA,)-388(Stanford)]TJ
0 -1.21788 TD
[(Univ)26(ersit)28(y)-334(Press.)]TJ
-1.69968 -1.65953 TD
[([9])-629(Milnor,)-401(J.)-374((1965))]TJ
/F22 1 Tf
9.78322 0 Td
[(T)80(op)54(olo)54(gy)-416(fr)53(om)-388(the)-415(Di\013er)53(entiable)-416(Viewp)53(oint)]TJ
/F10 1 Tf
19.33892 0 Td
[(.)-388(Cherlottesville.)-400(Univ)26(ersit)29(y)-361(Press)-387(of)-388(Vir-)]TJ
-27.42245 -1.23126 TD
(ginia.)Tj
-2.20825 -1.65953 TD
[([10])-628(W)80(alras,)-360(L.)-348((1954))]TJ
/F22 1 Tf
10.39885 0 Td
[(Elements)-375(of)-362(Pur)54(e)-389(Ec)53(onomics)-375((1926))]TJ
/F10 1 Tf
16.19383 0 Td
[(.)-361(T)80(rad.)-348(p)-27(or)-347(W.)-348(Ja\013)120<13>]TJ
8.57872 0 Td
[<102C>-375(London,)-349(Allen-Un)25(win.)]TJ
ET
endstream
endobj
19 0 obj
<<
/Nums[0<>]
>>
endobj
20 0 obj
<<
/Differences[16/dotlessi 19/acute 40/parenleft/parenright 45/hyphen 48/zero/one/two/three/four 54/six 57/nine/colon 65/A 77/M 82/R 84/T 97/a 99/c/d/e 105/i 108/l/m/n/o/p 114/r/s/t/u/v 121/y 123/endash]
/BaseEncoding/MacRomanEncoding
/Type/Encoding
>>
endobj
21 0 obj
<<
/Length 3966
/Length1 3966
/Subtype/Type1C
>>
stream
FRLLKP+CMCSC10 Eø øøøø LND
™ûŽúÉù‚
‹‹
‹‹ Î Ê ° Y IP_1.0Copyright (C) 1997 American Mathematical Society. All Rights ReservedCMCSC10Computer Modern ! V o
O M Q " Z ‘ S P 5 D } N . E B U T J W F 3 # %Ÿ–¬ûK)nä/’‘ÚáH~ç ¦
<
›h!jÕ
?
üÿþïÇ&u§Ó÷÷$¡÷ðɤâñ÷^ò÷›÷åݹM#ûEhVo-“Ïb°†§¤®¯pŸnsk}_.îK÷÷çèïÜJÚû ÷±¯ÚÆÜ0Ä&$8S;j¡x¨ªŸ¡¨½\‹}¸§Îœ¹¼Âp6‹HaXmhr‰L‡yŠ…‹‹€‹€’‹œ‹&‹Ø÷ôôðªÍô÷tæøz÷Brˆz‚M~€„„@‹}‹ûU¼·ÝÖœ›¹¯›ÊÅÆÁ‹ç‹÷ )Øû‹û‹=0‹1‹S½‹Ž‹œ‹®—‹´‹¥y¥h‹ˆ…‹ŠˆÇ õÎçÀ@3RsG=8ûmûy‹‰‹tøû§ v÷OÅ¥÷«÷Å÷OÅû«Q&u¡ù¡ÄÞ÷¤Þøƒ÷Ôí‚ÕfÑÔeEªJGEiCfnQ|Nû
FŽ-µ>,Àä„«½Ú㺲ÖäÓûoûÔdL¡ëv~È‹äÊҋΖÄïŸÑ®¨Ñ~,¢™V‹:DK‹8Pû
t=„ti}¤ør¤÷Ó÷²¤øm÷Fû5XGm%—÷*÷¡´‘ΤŠnR‰uuSŒmrÏ…`ûmr‹f~:”Û:÷÷ËñÔŒ÷ž³Œ¥¡¸¤‰rVŠ…onŒorÓ‹Vt&u§ø"¡ß泤Åå÷”å÷(÷î÷Ÿ÷!§º¤¸†h£~b‹^l£|¡›©”²Ãb¿.ûûûûmû™÷=ó÷ðè÷¯‡ÊRÅ¥pe²7;bKc|÷ûÐDlÊ›…|²†È´×±ñꟸ‹L® f‹ZXS‹[qcoxoqV& v÷“¡™ø ø®÷“¡ü uûdûyvú|w÷–Å÷Ð÷Ž÷òûq÷*€„‡‡…‡†ŒŠà<êûûœB„0i%bû
KNhj‰ˆ‰ˆ‹ˆ‹…‡’‹•‹÷r÷)‹÷óûdûyvú|w÷Å÷þû„ŽŠŽˆŽ^µû÷÷Ì÷Ç÷÷¿¼Ž’‡Ž…~Z[xz#ûYû2û6ûñ÷pû+˜‘Ž’&‹ª÷ªøuw÷ßÒø&ùŸ‹‘{ŠŠ~ûÖügl÷®4g‰€>tlŽ°Ì‹²²Ë‹ˆ°ªt>‰–¯âöª Døüû˜&u§¯çà¡ø$¤Åå÷”åø(÷¹ûŠûbPyQŒ®n·“¨œªsšu{m‚dJÀ`è÷÷÷÷j÷šûÖ&=_kjk^_u_ChMÀSh²iÛå®Ú¥–û8x^‹Æhu²‹½¾ÍŒ´¨´«¢¨ ½Ó¨BˆŒŸY‹:}@f#+&‹ªø°ªËw÷ŒÕ÷Öù£‹tZZJ|Al¤Ã‹¦Ãü›i‹}+hlŽ¯æ‹´´æ‹ˆ¯ªh+‹™i‹¤ød¤÷§÷Û§÷Uø‰˜‚‰‹xûr£§‹„Ÿüt‹VCrŒ ¸Ÿš¹Š‰¤¤C‹À¢÷ú•÷ÎüH“€Ž‹‘‹™‹’žø¢‹ÀÓ¤Šv^‰w|]ŒrrÓ‹Vtû½û!‹¤ød¤÷Óøm÷Vr;ƒ2û Lh†Ž³ø½š‹Ö¤ŠnK‰mrYŒgrÎ…büb†…Hrø/3‹¤÷e¢÷|¤÷ Ð÷á÷Q÷~÷ïßÊ×Ó?Ðûû£rÎ…büb†…HrŒ¨Ä¡¡Ã‰Š©¤H†‘´ˆ÷M÷Q³Ž®Ð÷‹?cd‹>û÷:‹ª÷\ªøZwøCùJ„Šz{‰…~†ûqüé‚t{^2ŠlŒ ³³µÄ‰ŠœªXt¥£‘‹—»÷÷žÄû-~‹‰‹ˆnS‹qlŽ¯Ñ‹±¶¹Š‰µªyK”§û²ø ÷ûÞûˆi‹¤ød¤÷¤Ðøzø7¯Á¬™²¤‰voŠvpoŒpr¡‰’{|ƒ„€ûûJû÷_†’„•‹•Ÿ¨‹—¤ŠqI‰{pcŒmr¿—…q÷?ûûb†…HrŒ©»§¨¿‰Š¥¤G‡‘·÷ûꋤød¤÷Ó÷OøM¶Ò¤ŠiW‰qqWŒirÒ†`ü`††DrŒ¿¥¥¿‰Š¤D†¶ÿÿÐ8‘w™¤÷q¡÷q¤÷ Ð÷sáÔ¤|÷ÿ÷“ÑɸÈÑ2Ìû
û„rÎ…büb†…HrŒ©»§¨¿‰Š¥¤H†‘´÷Bºå¤¥Šlª u‹s_S‹y«ly³|¸ËšÉŸ‹•~€Š‚‡N„gŠ„w‚˜–…ƒ›…§~˃®¾@¨2˜3÷F¤••Ž’¦‹Õàˆ d†Cûv}¥ø¤¾á÷þáøÝ÷“÷)û÷û(û)û
ûû)û+÷
û
÷&÷&÷
÷
÷+ûŸû‡DûÄ÷Y÷P÷¼ÎÏ÷YûOûYûRD÷ ‹ªøû°÷ðäù^ù9ýxûu¤÷<™Ÿ¥÷1ž¨‹‰•¡ˆ‹tü£i‹}"clŽ´ñ‹¹¹ò‹ˆ´ªc"‹™ø£¢‹—¡Ž•¨‹ž÷0 qû<™¤ûÝ‹õ÷oõõõ÷hø¨s£nnssnn£s¨¨££¨ûÙ¨s£nnssnn£s¨¨££¨N}¤ø€¤¾áø£ø°øŒ›‹“…Š‰ƒdXv¡Z´@‹û+ûûû,û,÷û÷+÷Úó┋’~€‹…Š!„5O7Yû+¦÷o÷r÷/£¸ÔàWûž„Œ…•˜‹ž& vø¦v÷Qw÷{÷Vø+ù‘—”›œzžx|„ƒz}b[YPleœxød¤÷§ø5Ë÷^ø„„…‹vû
rÎ…bûét‹VCrŒ ¸Ÿš¹Š‰¤¤C‹À¢øŒŒ÷Oü`‚‚•‹•””÷RøgŒŠü0b†…HrŒŸ¼®®¯‰Š¬¤H†‘´ø´‘Τû
tˆ‹xƒû?ü8÷苪ùª÷6§ø¿Ü÷šù-„…‹vû=l£Ø€güˆp‹\$lŒ®¼¬¬¼‰Š®ª$‹º¦ø±ŒŒ÷”ý ‚‚•‹•””÷—ùŒŠüÓg‰€>slŽ°Ï‹²²Î‹ˆ°ªs>‰–¯ø£¯–Ø£ªû=tˆ‹xƒû|üÍv‹¤ød¤÷ Ð÷ÄÞ¸ø–rÎ…büb†…Hr÷÷!õ÷÷÷$÷û$û G³Ž®Øá¶\y™¡o¡a&9|avku{`Y/>h†Ž³i‹¤÷$¤÷åw÷Ýø‘›…†‘€}‰…~†û5ü1€pz^L‰r¡¨Œ¡œ¹‰ŠŸ¤aˆ”“‹ä÷c¡S“w˜i‹…og‹zrŒ¦ÆŸ²‰Š£¤S‚®~ûnøèû…ûON‹¤ø^ª÷˜Óø±øü}û=¤÷”Ÿ÷ÃŽ‹`ü c‡€>vrŽ²Æ‹³³Æ‹ˆ²¤v>‡–³ø ¶Ž‹Ã÷ ¡zû”¤ûW}¤øƒ¡¾¾÷’¾øøŒ›‹“…ŠŠu|††|‡…e°]—b‹0‹IG‹=‹S«j—©mŸ‡çvÁ~•‰¢v‡¦p‹_‹YdUF‹qU®`^®ˆ¼Š¦Š“ƒŒˆ‹~‹‹„‹yû{‹ƒ•‘ŒŒ¡š•š‘¨q¿tÌ‹ì‹ÉØ‹Ú‹Êd³‹Œf±{Ž6Ÿvh“…YŸ{²‹©‹¹³¼Î‹÷û k„‹…–˜‹žûꋤød¤÷Ó÷OøM¶Ò¤ŠiW‰qqWŒirÒ†`ü`††DrŒ¿¥¥¿‰Š¤D†¶i•vøˆ¤øŠø;¦Ê¸šŒ¤‰vpŠvpoŒpr®ˆ’vx€ˆƒ†€û"ûæû*÷üƒ‹‹¦‹œ¤ŠqO‰xqbŒpr‘„j™÷NüL‘~„˜‹™‘™‘3‹¤÷x¤÷d§÷Ó÷0¤ø¥÷Vrû
zs[ûû h†Ž³÷MÑÕ—wH¤÷[rHwAE÷9³Ž®ñ÷¥hû–¤x÷=üQrÎ…büb†…Hrø]÷-u¡‹ª÷À¡÷¿ª÷4á÷Åòó£|øj÷è÷¨ËÍÏìûÞû+ûØl£Ø€gü£g‰€>slŽ¯Ò‹²²Ò‹ˆ¯ªs>‰–¯÷‘º÷Á«w{œ±f‹rEF‹g¶dk°Ã‚®ÛžÝ§‘‹–~€‹‚„Š=ƒb€vV„¸÷y€Ñ‡¤k«v¡kžd–$˜û
÷—¦”£ŽŒ”ª‹Ÿâ÷‹û) D`ûu¡ù?¡ûS™÷–ª
Ó¤‘Óœ
7’ ‹ùendstream
endobj
22 0 obj
<<
/Flags 34
/Descent -22
/Type/FontDescriptor
/CapHeight 666
/StemH 0
/StemV 72
/FontName/FRLLKP+CMCSC10
/XHeight 705
/Ascent 683
/FontBBox[14 -250 1077 750]
/ItalicAngle 0
/FontFile3 21 0 R
>>
endobj
23 0 obj
<<
/Widths[308 0 0 549 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 442 442 0 0 0 375 0 0 549 549 549 549 549 0 549 0 0 549 321 0 0 0 0 0 0 816 0 0 0 0 0 0 0 0 0 0 0 990 0 0 0 0 803 0 790 0 0 0 0 0 0 0 0 0 0 0 0 616 0 589 629 562 0 0 0 308 0 0 509 749 616 629 562 0 602 455 589 616 616 0 0 616 0 549]
/FontDescriptor 22 0 R
/Type/Font
/BaseFont/FRLLKP+CMCSC10
/LastChar 123
/FirstChar 16
/Encoding 20 0 R
/Subtype/Type1
/Name/F0
>>
endobj
24 0 obj
<<
/Differences[49/one]
/BaseEncoding/MacRomanEncoding
/Type/Encoding
>>
endobj
25 0 obj
<<
/Length 333
/Length1 333
/Subtype/Type1C
>>
stream
UGMHXV+CMBX9 Fø øøøø LN?
QûŽ«ù‚
‹‹
‹‹ Ê Ç Í¹ IN]1.0Copyright (C) 1997 American Mathematical Society. All Rights ReservedCMBX9Computer Modern Mÿÿ p N‹¼ø‚¼Ëw÷†÷ø ù¡‹–n‰‹„‚R> ‹wwZŸ£ÁŽœÃü–û#ZŽ±÷
‹¸º÷
‹ˆ´¼û%—ùB—û’”÷_Ÿû]’¼
÷ ³”÷ §
Œ
7’ ‹ùendstream
endobj
26 0 obj
<<
/Flags 262148
/Descent -194
/Type/FontDescriptor
/CapHeight 656
/StemH 0
/StemV 117
/FontName/UGMHXV+CMBX9
/XHeight 698
/Ascent 686
/FontBBox[-58 -250 1195 750]
/ItalicAngle 0
/FontFile3 25 0 R
>>
endobj
27 0 obj
<<
/Widths[589]
/FontDescriptor 26 0 R
/Type/Font
/BaseFont/UGMHXV+CMBX9
/LastChar 49
/FirstChar 49
/Encoding 24 0 R
/Subtype/Type1
/Name/F1
>>
endobj
28 0 obj
<<
/Differences[16/dotlessi 19/acute 97/a/b/c/d/e 105/i 108/l/m/n/o 113/q/r/s/t/u 119/w]
/BaseEncoding/MacRomanEncoding
/Type/Encoding
>>
endobj
29 0 obj
<<
/Length 2399
/Length1 2399
/Subtype/Type1C
>>
stream
LIHKEP+CMCSC10 Eø øøøø LND
™ûŽúÉù‚
‹‹
‹‹ Î Ê ó° : IP_1.0Copyright (C) 1997 American Mathematical Society. All Rights ReservedCMCSC10Computer Modern U E ‘ } N D O T B X P S C M J V R F ^ ½4É2¬eß–è™Sœ³ÿþïÇQ‹¤ø^ª÷˜Óø±øü}û=¤÷”Ÿ÷ÃŽ‹`ü c‡€>vrŽ²Æ‹³³Æ‹ˆ²¤v>‡–³ø ¶Ž‹Ã÷ ¡zû”¤t‹¤ød¤÷ Ð÷ÄÞ¸ø–rÎ…büb†…Hr÷÷!õ÷÷÷$÷û$û G³Ž®Øá¶\y™¡o¡a&9|avku{`Y/>h†Ž³ûò‹¤ød¤÷Ó÷OøM¶Ò¤ŠiW‰qqWŒirÒ†`ü`††DrŒ¿¥¥¿‰Š¤D†¶( vø¦v÷Qw÷{÷Vø+ù‘—”›œzžx|„ƒz}b[YPleœxÿ `©x‹¤ød¤÷§ø5Ë÷^ø„„…‹vû
rÎ…bûét‹VCrŒ ¸Ÿš¹Š‰¤¤C‹À¢øŒŒ÷Oü`‚‚•‹•””÷RøgŒŠü0b†…HrŒŸ¼®®¯‰Š¬¤H†‘´ø´‘Τû
tˆ‹xƒû?ü8Q}¤ø€¤¾áø£ø°øŒ›‹“…Š‰ƒdXv¡Z´@‹û+ûûû,û,÷û÷+÷Úó┋’~€‹…Š!„5O7Yû+¦÷o÷r÷/£¸ÔàWûž„Œ…•˜‹žÿÿÛUT‹¤ød¤÷§÷Û§÷Uø‰˜‚‰‹xûr£§‹„Ÿüt‹VCrŒ ¸Ÿš¹Š‰¤¤C‹À¢÷ú•÷ÎüH“€Ž‹‘‹™‹’žø¢‹ÀÓ¤Šv^‰w|]ŒrrÓ‹Vtû½ûR}¤øƒ¡¾¾÷’¾øøŒ›‹“…ŠŠu|††|‡…e°]—b‹0‹IG‹=‹S«j—©mŸ‡çvÁ~•‰¢v‡¦p‹_‹YdUF‹qU®`^®ˆ¼Š¦Š“ƒŒˆ‹~‹‹„‹yû{‹ƒ•‘ŒŒ¡š•š‘¨q¿tÌ‹ì‹ÉØ‹Ú‹Êd³‹Œf±{Ž6Ÿvh“…YŸ{²‹©‹¹³¼Î‹÷û k„‹…–˜‹žÿÿÛUT‹¤÷$¤÷åw÷Ýø‘›…†‘€}‰…~†û5ü1€pz^L‰r¡¨Œ¡œ¹‰ŠŸ¤aˆ”“‹ä÷c¡S“w˜i‹…og‹zrŒ¦ÆŸ²‰Š£¤S‚®~ûnøèû…ûO÷N•vøˆ¤ùqø5žÁ¥›®¤‰vqŠvt]Œyr·‰”mz€‡€ŠˆûûÖû÷‹‹‘¨®‹ž¤ŠmY‰rx_Œpr±–ˆ{•“€™_‰Š‹‰‡ûûÇû÷ðŠ‡”‹‘¨±‹œ¤ŠmY‰rx_Œpr¶—‡m–÷3üS€Žƒ˜‹˜Ž”•÷ø÷ü }Žƒ˜‹˜‘™{}¥ø¤¾á÷þáøÝ÷“÷)û÷û(û)û
ûû)û+÷
û
÷&÷&÷
÷
÷+ûŸû‡DûÄ÷Y÷P÷¼ÎÏ÷YûOûYûRDX‘w™¤÷q¡÷q¤÷ Ð÷sáÔ¤|÷ÿ÷“ÑɸÈÑ2Ìû
û„rÎ…büb†…HrŒ©»§¨¿‰Š¥¤H†‘´÷Bºå¤¥Šlª u‹s_S‹y«ly³|¸ËšÉŸ‹•~€Š‚‡N„gŠ„w‚˜–…ƒ›…§~˃®¾@¨2˜3÷F¤••Ž’¦‹Õàˆ d†CûD‹¤÷{¡÷g¤÷
Í÷šÞ¹ø–rÎ…büb†…Hr÷Â÷ÑÏÑÌKÂ4–ҚĸÅÊEËûû#û€÷<³Ž®ëæš=sgqB#ûu÷*à¦?a^jG0)h†Ž³û‹¤ød¤÷Óøm÷Vr;ƒ2û Lh†Ž³ø½š‹Ö¤ŠnK‰mrYŒgrÎ…büb†…Hrø/ûò‹¤ød¤÷Ó÷OøM¶Ò¤ŠiW‰qqWŒirÒ†`ü`††DrŒ¿¥¥¿‰Š¤D†¶ÿÿÛUT}¤ør¤÷Ó÷²¤øm÷Fû5XGm%—÷*÷¡´‘ΤŠnR‰uuSŒmrÏ…`ûmr‹f~:”Û:÷÷ËñÔŒ÷ž³Œ¥¡¸¤‰rVŠ…onŒorÓ‹Vt{û$ᷤܡø¤¾Þ÷ ¡÷yÞø<“Öªáã÷÷)û÷û(û)û
ûû)û+÷
û
÷&¯ª“‘?›™KÑգ亓‹–€‚Š„Šd…e~r|n‹Ímû:šYžAÆ÷.÷NöÉØØöMûN7s5F]§|sºXcomjz‘ŒŠ÷Š‰n~h`‰®¡žž¦«¡u^–/‹¤÷x¤÷d§÷Ó÷0¤ø¥÷Vrû
zs[ûû h†Ž³÷MÑÕ—wH¤÷[rHwAE÷9³Ž®ñ÷¥hû–¤x÷=üQrÎ…büb†…Hrø]u¡ù?¡ûS™÷–ª
Ó¤‘Óœ
7’ ‹ùendstream
endobj
30 0 obj
<<
/Flags 34
/Descent -22
/Type/FontDescriptor
/CapHeight 666
/StemH 0
/StemV 72
/FontName/LIHKEP+CMCSC10
/XHeight 705
/Ascent 683
/FontBBox[14 -250 1077 750]
/ItalicAngle 0
/FontFile3 29 0 R
>>
endobj
31 0 obj
<<
/Widths[300 0 0 551 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 613 579 592 627 558 0 0 0 300 0 0 516 746 613 634 0 634 599 460 592 613 0 836]
/FontDescriptor 30 0 R
/Type/Font
/BaseFont/LIHKEP+CMCSC10
/LastChar 119
/FirstChar 16
/Encoding 28 0 R
/Subtype/Type1
/Name/F2
>>
endobj
32 0 obj
<<
/Differences[19/acute 65/A 70/F 77/M 79/O 85/U 97/a 99/c/d/e 103/g 108/l 110/n/o 114/r/s/t/u/v 126/tilde]
/BaseEncoding/MacRomanEncoding
/Type/Encoding
>>
endobj
33 0 obj
<<
/Length 2559
/Length1 2559
/Subtype/Type1C
>>
stream
AEBNXZ+CMCSC10 Eø øøøø LND
™ûŽúÉù‚
‹‹
‹‹ Î Ê ÷° Ú IP_1.0Copyright (C) 1997 American Mathematical Society. All Rights ReservedCMCSC10Computer Modern . 6 } ' H F U S O V D " P E M B W T 0 Aª>¨ÿ´*rãLË|Ç=¨aµÿþïÇ÷싪ùª÷6§ø¿Ü÷šù-„…‹vû=l£Ø€güˆp‹\$lŒ®¼¬¬¼‰Š®ª$‹º¦ø±ŒŒ÷”ý ‚‚•‹•””÷—ùŒŠüÓg‰€>slŽ°Ï‹²²Î‹ˆ°ªs>‰–¯ø£¯–Ø£ªû=tˆ‹xƒû|üÍÿ £àøuªùª÷2äø
ªù÷{û!&:&Uû
¨÷Pø¯–Ø£ªˆhA‹ee@‹Žhl£Ø€güû"÷
û÷!÷*à÷î÷üª‹¹òªŠg[‰ih[Œglò‹\pÿÿžÅ vø¦v÷Qw÷{÷Vø+ù‘—”›œzžx|„ƒz}b[YPleœxÊ‹ª÷ºª÷¹÷2ä÷`¤ùù<üÎl£Ø€gü g‰€>slŽ®Ù‹²´æ‹ˆ¯ªj,‹˜®÷Šéí—l5¤÷r5l)-÷‘¬’º÷÷/§Uû ›¤ƒ}¤÷?¤÷¼¤¾á÷ÞÓø¯÷²‘¿¤‰jcŠqgQ‹ŽhrŸ×€cmt‹sct~ui„nNû$¬÷i÷o÷+¦¼ÔßWûž„Œ…•˜‹ž÷=›‹“…Š‰ƒdXf´V¡T‹û)ûû
û-û)÷û÷0®Õ²}”©l–”‹“š3‹¤÷x¤÷d§÷Ó÷0¤ø¥÷Vrû
zs[ûû h†Ž³÷MÑÕ—wH¤÷[rHwAE÷9³Ž®ñ÷¥hû–¤x÷=üQrÎ…büb†…Hrø]Q‹¤ø^ª÷˜Óø±øü}û=¤÷”Ÿ÷ÃŽ‹`ü c‡€>vrŽ²Æ‹³³Æ‹ˆ²¤v>‡–³ø ¶Ž‹Ã÷ ¡zû”¤ÿÿÐ8‘w™¤÷q¡÷q¤÷ Ð÷sáÔ¤|÷ÿ÷“ÑɸÈÑ2Ìû
û„rÎ…büb†…HrŒ©»§¨¿‰Š¥¤H†‘´÷Bºå¤¥Šlª u‹s_S‹y«ly³|¸ËšÉŸ‹•~€Š‚‡N„gŠ„w‚˜–…ƒ›…§~˃®¾@¨2˜3÷F¤••Ž’¦‹Õàˆ d†Cûe‹¤ød¤÷§÷Û§÷Uø‰˜‚‰‹xûr£§‹„Ÿüt‹VCrŒ ¸Ÿš¹Š‰¤¤C‹À¢÷ú•÷ÎüH“€Ž‹‘‹™‹’žø¢‹ÀÓ¤Šv^‰w|]ŒrrÓ‹Vtû½ÿÿžÅ vøÒéð÷òøFù0hmo}o}{Žžk™su˜rdvuRUœ|©®§™§‹™›ˆx«}£¡~¤² ¡ÄÁe}¤ør¤÷Ó÷²¤øm÷Fû5XGm%—÷*÷¡´‘ΤŠnR‰uuSŒmrÏ…`ûmr‹f~:”Û:÷÷ËñÔŒ÷ž³Œ¥¡¸¤‰rVŠ…onŒorÓ‹VtQ}¤ø€¤¾áø£ø°øŒ›‹“…Š‰ƒdXv¡Z´@‹û+ûûû,û,÷û÷+÷Úó┋’~€‹…Š!„5O7Yû+¦÷o÷r÷/£¸ÔàWûž„Œ…•˜‹žÿ £àø‹ª÷\ªøZwøCùJ„Šz{‰…~†ûqüé‚t{^2ŠlŒ ³³µÄ‰ŠœªXt¥£‘‹—»÷÷žÄû-~‹‰‹ˆnS‹qlŽ¯Ñ‹±¶¹Š‰µªyK”§û²ø ÷ûÞûˆy}¥ø¤¾á÷þáøÝ÷“÷)û÷û(û)û
ûû)û+÷
û
÷&÷&÷
÷
÷+ûŸû‡DûÄ÷Y÷P÷¼ÎÏ÷YûOûYûRDo‹¤ød¤÷ Ð÷ÄÞ¸ø–rÎ…büb†…Hr÷÷!õ÷÷÷$÷û$û G³Ž®Øá¶\y™¡o¡a&9|avku{`Y/>h†Ž³û‹¤ød¤÷Óøm÷Vr;ƒ2û Lh†Ž³ø½š‹Ö¤ŠnK‰mrYŒgrÎ…büb†…Hrø/e‹¤÷$¤÷åw÷Ýø‘›…†‘€}‰…~†û5ü1€pz^L‰r¡¨Œ¡œ¹‰ŠŸ¤aˆ”“‹ä÷c¡S“w˜i‹…og‹zrŒ¦ÆŸ²‰Š£¤S‚®~ûnøèû…ûOe•vøˆ¤øŠø;¦Ê¸šŒ¤‰vpŠvpoŒpr®ˆ’vx€ˆƒ†€û"ûæû*÷üƒ‹‹¦‹œ¤ŠqO‰xqbŒpr‘„j™÷NüL‘~„˜‹™‘™‘ûP}¤øƒ¡¾¾÷’¾øøŒ›‹“…ŠŠu|††|‡…e°]—b‹0‹IG‹=‹S«j—©mŸ‡çvÁ~•‰¢v‡¦p‹_‹YdUF‹qU®`^®ˆ¼Š¦Š“ƒŒˆ‹~‹‹„‹yû{‹ƒ•‘ŒŒ¡š•š‘¨q¿tÌ‹ì‹ÉØ‹Ú‹Êd³‹Œf±{Ž6Ÿvh“…YŸ{²‹©‹¹³¼Î‹÷û k„‹…–˜‹ž÷Uu¥ù8¤Óòøòù—÷ç÷aû4÷5ûQûUû1û7û_û^÷3û3÷R÷U÷1÷5÷\ûñûãû ûé÷”÷ˆ÷%Ýðô÷"6û…û™û$2%u¡ù?¡ûS™÷–ª
Ó¤‘Óœ
7’ ‹ùendstream
endobj
34 0 obj
<<
/Flags 34
/Descent -22
/Type/FontDescriptor
/CapHeight 666
/StemH 0
/StemV 72
/FontName/AEBNXZ+CMCSC10
/XHeight 705
/Ascent 683
/FontBBox[14 -250 1077 750]
/ItalicAngle 0
/FontFile3 33 0 R
>>
endobj
35 0 obj
<<
/Widths[552 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 813 0 0 0 0 713 0 0 0 0 0 0 994 0 843 0 0 0 0 0 813 0 0 0 0 0 0 0 0 0 0 0 612 0 592 622 562 0 642 0 0 0 0 512 0 612 632 0 0 602 462 592 612 612 0 0 0 0 0 0 0 552]
/FontDescriptor 34 0 R
/Type/Font
/BaseFont/AEBNXZ+CMCSC10
/LastChar 126
/FirstChar 19
/Encoding 32 0 R
/Subtype/Type1
/Name/F3
>>
endobj
36 0 obj
<<
/Differences[40/parenleft/parenright/asterisk/plus 48/zero/one/two 61/equal 69/E]
/BaseEncoding/MacRomanEncoding
/Type/Encoding
>>
endobj
37 0 obj
<<
/Length 1174
/Length1 1174
/Subtype/Type1C
>>
stream
GNDCHK+CMR8 Eø øøøø LNW
gûŽúÂù‚
‹‹
‹‹ È Ä Û´ m IM\1.0Copyright (C) 1997 American Mathematical Society. All Rights ReservedCMR8Computer Modern
&