﻿59:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento espacial, numérico y variacional:@0.522009:0.043661:0.926913:0.043661:0.926913:0.024916:0.522009:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EBC 11. Utiliza con propiedad una calculadora graficadora para trazar y analizar gráficas de funciones y sus diversas transformaciones.:@0.081260:0.971354:0.778799:0.971354:0.778799:0.959927:0.081260:0.959927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema:@0.743498:0.184025:0.803298:0.184025:0.803298:0.168870:0.743498:0.168870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.803176:0.184025:0.807125:0.184025:0.807125:0.168618:0.803176:0.168618:0.000000
 Sean  ,  ,  ,   :@0.807025:0.184025:0.905186:0.184025:0.905186:0.169740:0.807025:0.169740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B C D:@0.846249:0.184025:0.901521:0.184025:0.901521:0.169993:0.846249:0.169993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjuntos no vacíos  :@0.743470:0.199154:0.882110:0.199154:0.882110:0.184869:0.743470:0.184869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f A:@0.743470:0.214283:0.762982:0.214283:0.762982:0.200250:0.743470:0.200250:0.000000:0.000000:0.000000
:     :@0.747637:0.214283:0.786944:0.214283:0.786944:0.199998:0.747637:0.199998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.766847:0.213904:0.783363:0.213904:0.783363:0.198460:0.766847:0.198460:0.000000
B, g B:@0.787045:0.214283:0.823910:0.214283:0.823910:0.200250:0.787045:0.200250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:     :@0.809518:0.214283:0.847872:0.214283:0.847872:0.199998:0.809518:0.199998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.827775:0.213904:0.844291:0.213904:0.844291:0.198460:0.827775:0.198460:0.000000
C, h:@0.847973:0.214283:0.871952:0.214283:0.871952:0.200250:0.847973:0.200250:0.000000:0.000000:0.000000:0.000000
:  :@0.871886:0.214283:0.881909:0.214283:0.881909:0.199998:0.871886:0.199998:0.000000:0.000000:0.000000
C:@0.743487:0.229411:0.752489:0.229411:0.752489:0.215379:0.743487:0.215379:0.000000
    tres aplicaciones, :@0.752590:0.229411:0.905005:0.229411:0.905005:0.215127:0.752590:0.215127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.756355:0.229033:0.772871:0.229033:0.772871:0.213589:0.756355:0.213589:0.000000
D :@0.776553:0.229411:0.790141:0.229411:0.790141:0.215379:0.776553:0.215379:0.000000:0.000000
entonces: :@0.743503:0.244540:0.811118:0.244540:0.811118:0.230256:0.743503:0.230256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.743503:0.270386:0.747938:0.270386:0.747938:0.256101:0.743503:0.256101:0.000000
h   g  f:@0.747871:0.270386:0.796836:0.270391:0.796836:0.256359:0.747871:0.256354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.759385:0.270870:0.764958:0.270870:0.764958:0.259145:0.759385:0.259145:0.000000
)     :@0.776186:0.270391:0.817904:0.270391:0.817904:0.256106:0.776186:0.256106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.784135:0.270870:0.789707:0.270870:0.789707:0.259145:0.784135:0.259145:0.000000
5:@0.800383:0.269886:0.814323:0.269886:0.814323:0.257418:0.800383:0.257418:0.000000
h    g  f:@0.817837:0.270391:0.866797:0.270391:0.866797:0.256359:0.817837:0.256359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.829346:0.270870:0.834919:0.270870:0.834919:0.259145:0.829346:0.259145:0.000000
(   ).:@0.837780:0.270391:0.874026:0.270391:0.874026:0.256106:0.837780:0.256106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.854096:0.270870:0.859668:0.270870:0.859668:0.259145:0.854096:0.259145:0.000000
Teorema:@0.743502:0.296236:0.803503:0.296236:0.803503:0.281082:0.743502:0.281082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.803409:0.296236:0.810755:0.296236:0.810755:0.280830:0.803409:0.280830:0.000000:0.000000
Sean  ,   dos :@0.810688:0.296236:0.901202:0.296236:0.901202:0.281952:0.810688:0.281952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.846515:0.296236:0.869893:0.296236:0.869893:0.282204:0.846515:0.282204:0.000000:0.000000:0.000000
conjuntos no vacíos,   una :@0.743485:0.311365:0.918571:0.311365:0.918571:0.297081:0.743485:0.297081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.881790:0.311365:0.886057:0.311365:0.886057:0.297333:0.881790:0.297333:0.000000
función biyectiva de   en :@0.743485:0.326494:0.914003:0.326494:0.914003:0.312210:0.743485:0.312210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.880803:0.326494:0.889789:0.326494:0.889789:0.312462:0.880803:0.312462:0.000000
B:@0.743485:0.341623:0.751517:0.341623:0.751517:0.327591:0.743485:0.327591:0.000000
, entonces::@0.751450:0.341623:0.822112:0.341623:0.822112:0.327339:0.751450:0.327339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.743498:0.366564:0.757376:0.366564:0.757376:0.352994:0.743498:0.352994:0.000000:0.000000:0.000000
f:@0.762541:0.366564:0.766595:0.366564:0.766595:0.353234:0.762541:0.353234:0.000000
2:@0.766537:0.361047:0.774258:0.361047:0.774258:0.354141:0.766537:0.354141:0.000000
1:@0.774211:0.361326:0.778734:0.361326:0.778734:0.353415:0.774211:0.353415:0.000000
 es biyectiva.:@0.778695:0.366564:0.857820:0.366564:0.857820:0.352994:0.778695:0.352994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.   :@0.743498:0.386297:0.770013:0.386297:0.770013:0.372727:0.743498:0.372727:0.000000:0.000000:0.000000:0.000000:0.000000
f  f:@0.762541:0.386297:0.782015:0.386297:0.782015:0.372967:0.762541:0.372967:0.000000:0.000000:0.000000:0.000000
+:@0.769949:0.386812:0.775243:0.386812:0.775243:0.375674:0.769949:0.375674:0.000000
2:@0.781964:0.380780:0.789685:0.380780:0.789685:0.373875:0.781964:0.373875:0.000000
1:@0.789638:0.381060:0.794161:0.381060:0.794161:0.373148:0.789638:0.373148:0.000000
    .:@0.794122:0.386297:0.824539:0.386297:0.824539:0.372727:0.794122:0.372727:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.797539:0.385818:0.810782:0.385818:0.810782:0.373973:0.797539:0.373973:0.000000
I:@0.814120:0.386297:0.817427:0.386297:0.817427:0.372967:0.814120:0.372967:0.000000
B:@0.817357:0.389036:0.821805:0.389036:0.821805:0.381265:0.817357:0.381265:0.000000
3. :@0.743498:0.406030:0.757376:0.406030:0.757376:0.392460:0.743498:0.392460:0.000000:0.000000:0.000000
f:@0.762541:0.406030:0.766595:0.406030:0.766595:0.392700:0.762541:0.392700:0.000000
2:@0.766537:0.400514:0.774258:0.400514:0.774258:0.393608:0.766537:0.393608:0.000000
1:@0.774211:0.400793:0.778734:0.400793:0.778734:0.392882:0.774211:0.392882:0.000000
      .:@0.778695:0.406030:0.825066:0.406030:0.825066:0.392460:0.778695:0.392460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.782113:0.406546:0.787406:0.406546:0.787406:0.395407:0.782113:0.395407:0.000000
 f:@0.787327:0.406030:0.794178:0.406030:0.794178:0.392700:0.787327:0.392700:0.000000:0.000000
5:@0.797549:0.405551:0.810791:0.405551:0.810791:0.393706:0.797549:0.393706:0.000000
I:@0.814129:0.406030:0.817436:0.406030:0.817436:0.392700:0.814129:0.392700:0.000000
A:@0.817357:0.408770:0.822334:0.408770:0.822334:0.400998:0.817357:0.400998:0.000000
4.        .:@0.743498:0.425764:0.812397:0.425764:0.812397:0.412194:0.743498:0.412194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I  f:@0.762541:0.425764:0.785689:0.425764:0.785689:0.412433:0.762541:0.412433:0.000000:0.000000:0.000000:0.000000
B:@0.765791:0.428503:0.770240:0.428503:0.770240:0.420731:0.765791:0.420731:0.000000
+:@0.773623:0.426279:0.778917:0.426279:0.778917:0.415140:0.773623:0.415140:0.000000
5:@0.789060:0.425285:0.802302:0.425285:0.802302:0.413439:0.789060:0.413439:0.000000
f:@0.805640:0.425764:0.809694:0.425764:0.809694:0.412433:0.805640:0.412433:0.000000
5.   :@0.743498:0.445497:0.770013:0.445497:0.770013:0.431927:0.743498:0.431927:0.000000:0.000000:0.000000:0.000000:0.000000
f  I:@0.762541:0.445497:0.781268:0.445497:0.781268:0.432166:0.762541:0.432166:0.000000:0.000000:0.000000:0.000000
+:@0.769949:0.446012:0.775243:0.446012:0.775243:0.434873:0.769949:0.434873:0.000000
A:@0.781218:0.448236:0.786195:0.448236:0.786195:0.440464:0.781218:0.440464:0.000000
    .:@0.786161:0.445497:0.812916:0.445497:0.812916:0.431927:0.786161:0.431927:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.789579:0.445018:0.802821:0.445018:0.802821:0.433172:0.789579:0.433172:0.000000
f:@0.806160:0.445497:0.810214:0.445497:0.810214:0.432166:0.806160:0.432166:0.000000
Teorema:@0.743498:0.466144:0.803499:0.466144:0.803499:0.450990:0.743498:0.450990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.  :@0.803406:0.466144:0.814149:0.466144:0.814149:0.450738:0.803406:0.450738:0.000000:0.000000:0.000000
Sean  ,  ,   :@0.814082:0.466144:0.892313:0.466144:0.892313:0.451860:0.814082:0.451860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B C:@0.849909:0.466144:0.888648:0.466144:0.888648:0.452112:0.849909:0.452112:0.000000:0.000000:0.000000:0.000000:0.000000
conjuntos no vacíos,   una :@0.743482:0.481273:0.918568:0.481273:0.918568:0.466989:0.743482:0.466989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.881787:0.481273:0.886054:0.481273:0.886054:0.467241:0.881787:0.467241:0.000000
función de   en  ,   una :@0.743482:0.496402:0.906653:0.496402:0.906653:0.482118:0.743482:0.482118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.818299:0.496402:0.827285:0.496402:0.827285:0.482370:0.818299:0.482370:0.000000
B g:@0.851331:0.496402:0.874140:0.496402:0.874140:0.482370:0.851331:0.482370:0.000000:0.000000:0.000000
función de   en   con   :@0.743448:0.511531:0.899508:0.511531:0.899508:0.497247:0.743448:0.497247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.818265:0.511531:0.826297:0.511531:0.826297:0.497499:0.818265:0.497499:0.000000
C:@0.850344:0.511531:0.859347:0.511531:0.859347:0.497499:0.850344:0.497499:0.000000
f:@0.891576:0.511531:0.895843:0.511531:0.895843:0.497499:0.891576:0.497499:0.000000
y   funciones biyectivas, :@0.743431:0.526660:0.906200:0.526660:0.906200:0.512376:0.743431:0.512376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.754308:0.526660:0.762725:0.526660:0.762725:0.512628:0.754308:0.512628:0.000000
entonces:   :@0.743415:0.541789:0.818402:0.541789:0.818402:0.527505:0.743415:0.527505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.743498:0.568553:0.748154:0.568553:0.748154:0.553555:0.743498:0.553555:0.000000
g   f:@0.748084:0.568553:0.773287:0.568553:0.773287:0.553819:0.748084:0.553819:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.759951:0.568993:0.765802:0.568993:0.765802:0.556682:0.759951:0.556682:0.000000
)    :@0.773234:0.568553:0.813419:0.568553:0.813419:0.553555:0.773234:0.553555:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.777809:0.562456:0.786342:0.562456:0.786342:0.554823:0.777809:0.554823:0.000000
1:@0.786291:0.562764:0.791290:0.562764:0.791290:0.554020:0.786291:0.554020:0.000000
5:@0.795023:0.568024:0.809659:0.568024:0.809659:0.554931:0.795023:0.554931:0.000000
f:@0.813349:0.568553:0.817829:0.568553:0.817829:0.553819:0.813349:0.553819:0.000000
2:@0.817751:0.562456:0.826284:0.562456:0.826284:0.554823:0.817751:0.554823:0.000000
1:@0.826233:0.562764:0.831232:0.562764:0.831232:0.554020:0.826233:0.554020:0.000000
 :@0.831187:0.568553:0.835035:0.568553:0.835035:0.553555:0.831187:0.553555:0.000000
+:@0.834959:0.568993:0.840810:0.568993:0.840810:0.556682:0.834959:0.556682:0.000000
 g:@0.840722:0.568553:0.852652:0.568553:0.852652:0.553819:0.840722:0.553819:0.000000:0.000000
2:@0.852595:0.562456:0.861128:0.562456:0.861128:0.554823:0.852595:0.554823:0.000000
1:@0.861076:0.562764:0.866075:0.562764:0.866075:0.554020:0.861076:0.554020:0.000000
.:@0.866030:0.568553:0.869088:0.568553:0.869088:0.553555:0.866030:0.553555:0.000000
Competencia :@0.740294:0.140492:0.848854:0.140492:0.848854:0.123545:0.740294:0.123545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.157134:0.837769:0.157134:0.837769:0.140187:0.740294:0.140187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.103210:0.135765:0.107241:0.135765:0.107241:0.120052:0.103210:0.120052:0.000000
De la definición de las funciones  y  se tiene::@0.133324:0.135765:0.466149:0.135765:0.466149:0.120052:0.133324:0.120052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u   v:@0.371058:0.135765:0.402552:0.135765:0.402552:0.120329:0.371058:0.120329:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.133336:0.162091:0.138214:0.162091:0.138214:0.146379:0.133336:0.146379:0.000000
v   u x:@0.138129:0.162091:0.184626:0.162091:0.184626:0.146656:0.138129:0.146656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.149044:0.162494:0.155174:0.162494:0.155174:0.149596:0.149044:0.149596:0.000000
)( )    ( ( ))    (    1)     :@0.167580:0.162091:0.383429:0.162091:0.383429:0.146379:0.167580:0.146379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.193295:0.161537:0.208629:0.161537:0.208629:0.147821:0.193295:0.147821:0.000000
v u x:@0.212494:0.162091:0.246456:0.162091:0.246456:0.146656:0.212494:0.146656:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.259930:0.161537:0.275263:0.161537:0.275263:0.147821:0.259930:0.147821:0.000000
v x:@0.279128:0.162091:0.299045:0.162091:0.299045:0.146656:0.279128:0.146656:0.000000:0.000000:0.000000
2:@0.298978:0.156028:0.304215:0.156028:0.304215:0.146867:0.298978:0.146867:0.000000
1:@0.308125:0.161537:0.323458:0.161537:0.323458:0.147821:0.308125:0.147821:0.000000
5 2:@0.344958:0.161537:0.379490:0.161537:0.379490:0.147821:0.344958:0.147821:0.000000:0.000000:0.000000
x:@0.391056:0.156087:0.398511:0.156087:0.398511:0.140651:0.391056:0.140651:0.000000
2 :@0.398511:0.150023:0.406098:0.150023:0.406098:0.140862:0.398511:0.140862:0.000000:0.000000
1:@0.406098:0.155532:0.421432:0.155532:0.421432:0.141816:0.406098:0.141816:0.000000
 1:@0.421432:0.156087:0.434445:0.156087:0.434445:0.140374:0.421432:0.140374:0.000000:0.000000
3:@0.408252:0.172479:0.417235:0.172479:0.417235:0.156766:0.408252:0.156766:0.000000
   1     :@0.442066:0.162091:0.516542:0.162091:0.516542:0.146379:0.442066:0.146379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 5 2:@0.446024:0.161537:0.512603:0.161537:0.512603:0.147821:0.446024:0.147821:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.521022:0.156237:0.528476:0.156237:0.528476:0.140801:0.521022:0.140801:0.000000
2 :@0.528476:0.150173:0.536064:0.150173:0.536064:0.141012:0.528476:0.141012:0.000000:0.000000
3:@0.523692:0.169474:0.531042:0.169474:0.531042:0.156619:0.523692:0.156619:0.000000
 :@0.531042:0.169474:0.534340:0.169474:0.534340:0.156619:0.531042:0.156619:0.000000
    ,  :@0.538197:0.162091:0.585420:0.162091:0.585420:0.146379:0.538197:0.146379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.542155:0.161537:0.557488:0.161537:0.557488:0.147821:0.542155:0.147821:0.000000
4:@0.564187:0.153907:0.571536:0.153907:0.571536:0.141051:0.564187:0.141051:0.000000
3:@0.564187:0.167772:0.571536:0.167772:0.571536:0.154917:0.564187:0.154917:0.000000
 :@0.571536:0.167772:0.574834:0.167772:0.574834:0.154917:0.571536:0.154917:0.000000
;:@0.585328:0.161537:0.597606:0.161537:0.597606:0.147821:0.585328:0.147821:0.000000
x:@0.597514:0.162091:0.604969:0.162091:0.604969:0.146656:0.597514:0.146656:0.000000
    ,:@0.604895:0.162091:0.646495:0.162091:0.646495:0.146379:0.604895:0.146379:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.608853:0.161953:0.624186:0.161953:0.624186:0.147904:0.608853:0.147904:0.000000
Q:@0.628051:0.161232:0.643385:0.161232:0.643385:0.148334:0.628051:0.148334:0.000000
(:@0.133336:0.201776:0.138214:0.201776:0.138214:0.186063:0.133336:0.186063:0.000000
u   v x    u v x   u:@0.137908:0.201776:0.275447:0.201776:0.275447:0.186341:0.137908:0.186341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.148805:0.202178:0.154935:0.202178:0.154935:0.189281:0.148805:0.189281:0.000000
)( ):@0.163936:0.201776:0.185123:0.201776:0.185123:0.186063:0.163936:0.186063:0.000000:0.000000:0.000000:0.000000
5:@0.186687:0.201221:0.202020:0.201221:0.202020:0.187506:0.186687:0.187506:0.000000
( ( ))    :@0.212605:0.201776:0.279184:0.201776:0.279184:0.186063:0.212605:0.186063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.247376:0.201221:0.262709:0.201221:0.262709:0.187506:0.247376:0.187506:0.000000
2:@0.283074:0.201221:0.298408:0.201221:0.298408:0.187506:0.283074:0.187506:0.000000
 :@0.298095:0.201776:0.301408:0.201776:0.301408:0.186341:0.298095:0.186341:0.000000
x:@0.304984:0.195269:0.312439:0.195269:0.312439:0.179834:0.304984:0.179834:0.000000
 :@0.312439:0.189205:0.314789:0.189205:0.314789:0.180045:0.312439:0.180045:0.000000
3:@0.305036:0.208507:0.312385:0.208507:0.312385:0.195651:0.305036:0.195651:0.000000
 :@0.312385:0.208507:0.315684:0.208507:0.315684:0.195651:0.312385:0.195651:0.000000
   1    :@0.316013:0.201776:0.374137:0.201776:0.374137:0.186063:0.316013:0.186063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.319750:0.201221:0.335083:0.201221:0.335083:0.187506:0.319750:0.187506:0.000000
5 2:@0.355085:0.201221:0.393349:0.201221:0.393349:0.187506:0.355085:0.187506:0.000000:0.000000:0.000000
 :@0.393036:0.201776:0.396349:0.201776:0.396349:0.186341:0.393036:0.186341:0.000000
x:@0.399924:0.195269:0.407378:0.195269:0.407378:0.179834:0.399924:0.179834:0.000000
 :@0.407378:0.189205:0.409729:0.189205:0.409729:0.180045:0.407378:0.180045:0.000000
3:@0.399977:0.208507:0.407327:0.208507:0.407327:0.195651:0.399977:0.195651:0.000000
 :@0.407327:0.208507:0.410625:0.208507:0.410625:0.195651:0.407327:0.195651:0.000000
   1:@0.410953:0.201776:0.442429:0.201776:0.442429:0.186063:0.410953:0.186063:0.000000:0.000000:0.000000:0.000000
2:@0.414966:0.201221:0.430299:0.201221:0.430299:0.187506:0.414966:0.187506:0.000000
2:@0.446295:0.188148:0.451532:0.188148:0.451532:0.178987:0.446295:0.178987:0.000000
1 5:@0.451357:0.201221:0.494117:0.201221:0.494117:0.187506:0.451357:0.187506:0.000000:0.000000:0.000000
1   :@0.466377:0.201776:0.497835:0.201776:0.497835:0.186063:0.466377:0.186063:0.000000:0.000000:0.000000:0.000000
x:@0.505581:0.195269:0.513036:0.195269:0.513036:0.179834:0.505581:0.179834:0.000000
 :@0.513036:0.189205:0.515386:0.189205:0.515386:0.180045:0.513036:0.180045:0.000000
3:@0.505633:0.208507:0.512983:0.208507:0.512983:0.195651:0.505633:0.195651:0.000000
 :@0.512983:0.208507:0.516281:0.208507:0.516281:0.195651:0.512983:0.195651:0.000000
 :@0.516610:0.201776:0.519924:0.201776:0.519924:0.186341:0.516610:0.186341:0.000000
1:@0.519629:0.201221:0.534962:0.201221:0.534962:0.187506:0.519629:0.187506:0.000000
 1:@0.534650:0.201776:0.547369:0.201776:0.547369:0.186063:0.534650:0.186063:0.000000:0.000000
2:@0.551248:0.188148:0.556485:0.188148:0.556485:0.178987:0.551248:0.178987:0.000000
1:@0.556310:0.201221:0.571643:0.201221:0.571643:0.187506:0.556310:0.187506:0.000000
 1,  :@0.571330:0.201776:0.593724:0.201776:0.593724:0.186063:0.571330:0.186063:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.593161:0.201221:0.605439:0.201221:0.605439:0.187506:0.593161:0.187506:0.000000
x:@0.605126:0.201776:0.612581:0.201776:0.612581:0.186341:0.605126:0.186341:0.000000
    .:@0.612286:0.201776:0.653003:0.201776:0.653003:0.186063:0.612286:0.186063:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.616023:0.201637:0.631356:0.201637:0.631356:0.187589:0.616023:0.187589:0.000000
Q:@0.634780:0.200916:0.650113:0.200916:0.650113:0.188019:0.634780:0.188019:0.000000
Observa que, en general, (:@0.073101:0.236280:0.262121:0.236280:0.262121:0.220567:0.073101:0.220567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u   v x:@0.261886:0.236280:0.308383:0.236280:0.308383:0.220845:0.261886:0.220845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.274384:0.236682:0.280514:0.236682:0.280514:0.223785:0.274384:0.223785:0.000000
)( )   (:@0.291337:0.236280:0.341129:0.236280:0.341129:0.220567:0.291337:0.220567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
±:@0.317052:0.236821:0.332386:0.236821:0.332386:0.221649:0.317052:0.221649:0.000000
v   u x:@0.340816:0.236280:0.385767:0.236280:0.385767:0.220845:0.340816:0.220845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.351290:0.236682:0.357420:0.236682:0.357420:0.223785:0.351290:0.223785:0.000000
)( ).:@0.369163:0.236280:0.393258:0.236280:0.393258:0.220567:0.369163:0.220567:0.000000:0.000000:0.000000:0.000000:0.000000
7.1 Función inversa:@0.073083:0.263642:0.224272:0.263642:0.224272:0.246695:0.073083:0.246695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,   dos conjuntos no vacíos cualesquiera,   una función de   en   con   biyectiva. :@0.073083:0.291004:0.710390:0.291004:0.710390:0.275291:0.073083:0.275291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.112842:0.291004:0.138631:0.291004:0.138631:0.275569:0.112842:0.275569:0.000000:0.000000:0.000000
f:@0.424219:0.291004:0.428913:0.291004:0.428913:0.275569:0.424219:0.275569:0.000000
A:@0.547769:0.291004:0.557654:0.291004:0.557654:0.275569:0.547769:0.275569:0.000000
B:@0.584086:0.291004:0.592922:0.291004:0.592922:0.275569:0.584086:0.275569:0.000000
f:@0.628485:0.291004:0.633179:0.291004:0.633179:0.275569:0.628485:0.275569:0.000000
Por ser   sobreyectiva, para cada       existe      , tal que      ( ). Supongamos que :@0.073083:0.307646:0.710471:0.307646:0.710471:0.291933:0.073083:0.291933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.127587:0.307646:0.132280:0.307646:0.132280:0.292210:0.127587:0.292210:0.000000
y:@0.314936:0.307646:0.322409:0.307646:0.322409:0.292210:0.314936:0.292210:0.000000
[:@0.326863:0.307507:0.342197:0.307507:0.342197:0.293459:0.326863:0.293459:0.000000
B:@0.346633:0.307646:0.355468:0.307646:0.355468:0.292210:0.346633:0.292210:0.000000
x:@0.406917:0.307646:0.414372:0.307646:0.414372:0.292210:0.406917:0.292210:0.000000
[:@0.418826:0.307507:0.434159:0.307507:0.434159:0.293459:0.418826:0.293459:0.000000
A:@0.438595:0.307646:0.448480:0.307646:0.448480:0.292210:0.438595:0.292210:0.000000
y:@0.512151:0.307646:0.519624:0.307646:0.519624:0.292210:0.512151:0.292210:0.000000
5:@0.524079:0.307091:0.539412:0.307091:0.539412:0.293375:0.524079:0.293375:0.000000
f x:@0.543848:0.307646:0.561096:0.307646:0.561096:0.292210:0.543848:0.292210:0.000000:0.000000:0.000000
x x:@0.073083:0.324288:0.101317:0.324296:0.101317:0.308861:0.073083:0.308852:0.000000:0.000000:0.000000
1:@0.080676:0.327469:0.085913:0.327469:0.085913:0.318308:0.080676:0.318308:0.000000
,      , tal que      ( ),      ( ). Como   es inyectiva, de la igualdad  ( )    ( ) se :@0.085984:0.324296:0.710379:0.324296:0.710379:0.308584:0.085984:0.308584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.101451:0.327469:0.106688:0.327469:0.106688:0.318308:0.101451:0.318308:0.000000
[:@0.111305:0.324158:0.126638:0.324158:0.126638:0.310109:0.111305:0.310109:0.000000
A:@0.131295:0.324296:0.141180:0.324296:0.141180:0.308861:0.131295:0.308861:0.000000
y:@0.205661:0.324296:0.213134:0.324296:0.213134:0.308861:0.205661:0.308861:0.000000
5:@0.217809:0.323742:0.233143:0.323742:0.233143:0.310026:0.217809:0.310026:0.000000
f x y:@0.237800:0.324296:0.280916:0.324296:0.280916:0.308861:0.237800:0.308861:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.255251:0.327469:0.260488:0.327469:0.260488:0.318308:0.255251:0.318308:0.000000
5:@0.285591:0.323742:0.300924:0.323742:0.300924:0.310026:0.285591:0.310026:0.000000
f x:@0.305581:0.324296:0.322866:0.324296:0.322866:0.308861:0.305581:0.308861:0.000000:0.000000:0.000000
2:@0.323011:0.327469:0.328248:0.327469:0.328248:0.318308:0.323011:0.318308:0.000000
f:@0.391272:0.324296:0.395966:0.324296:0.395966:0.308861:0.391272:0.308861:0.000000
f x:@0.605864:0.324296:0.623148:0.324296:0.623148:0.308861:0.605864:0.308861:0.000000:0.000000:0.000000
1:@0.623287:0.327469:0.628524:0.327469:0.628524:0.318308:0.623287:0.318308:0.000000
5:@0.638149:0.323742:0.653482:0.323742:0.653482:0.310026:0.638149:0.310026:0.000000
f x:@0.658139:0.324296:0.675423:0.324296:0.675423:0.308861:0.658139:0.308861:0.000000:0.000000:0.000000
2:@0.675564:0.327469:0.680801:0.327469:0.680801:0.318308:0.675564:0.318308:0.000000
sigue que      . Así, para cada      , existe un único      , tal que      ( ). Este :@0.073083:0.340938:0.710302:0.340938:0.710302:0.325226:0.073083:0.325226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.153762:0.340938:0.161217:0.340938:0.161217:0.325503:0.153762:0.325503:0.000000
1:@0.161486:0.344111:0.166723:0.344111:0.166723:0.334950:0.161486:0.334950:0.000000
5:@0.172057:0.340384:0.187390:0.340384:0.187390:0.326668:0.172057:0.326668:0.000000
x:@0.192857:0.340938:0.200312:0.340938:0.200312:0.325503:0.192857:0.325503:0.000000
2:@0.200581:0.344111:0.205818:0.344111:0.205818:0.334950:0.200581:0.334950:0.000000
y:@0.325277:0.340938:0.332750:0.340938:0.332750:0.325503:0.325277:0.325503:0.000000
[:@0.338181:0.340800:0.353514:0.340800:0.353514:0.326751:0.338181:0.326751:0.000000
B:@0.358981:0.340938:0.367816:0.340938:0.367816:0.325503:0.358981:0.325503:0.000000
x:@0.499042:0.340938:0.506497:0.340938:0.506497:0.325503:0.499042:0.325503:0.000000
[:@0.511927:0.340800:0.527260:0.340800:0.527260:0.326751:0.511927:0.326751:0.000000
A:@0.532727:0.340938:0.542612:0.340938:0.542612:0.325503:0.532727:0.325503:0.000000
y:@0.610166:0.340938:0.617640:0.340938:0.617640:0.325503:0.610166:0.325503:0.000000
5:@0.623070:0.340384:0.638403:0.340384:0.638403:0.326668:0.623070:0.326668:0.000000
f x:@0.643870:0.340938:0.661430:0.340938:0.661430:0.325503:0.643870:0.325503:0.000000:0.000000:0.000000
hecho permite definir la función inversa.:@0.073024:0.357580:0.372002:0.357580:0.372002:0.341867:0.073024:0.341867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.073024:0.384942:0.152821:0.384942:0.152821:0.368272:0.073024:0.368272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.153034:0.384943:0.161317:0.384943:0.161317:0.367996:0.153034:0.367996:0.000000:0.000000
Sean  ,   dos conjuntos no vacíos,   una función biyectiva de   en  . Se :@0.162458:0.384943:0.710345:0.384943:0.710345:0.369231:0.162458:0.369231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.204022:0.384943:0.231430:0.384943:0.231430:0.369508:0.204022:0.369508:0.000000:0.000000:0.000000
f:@0.429014:0.384943:0.433708:0.384943:0.433708:0.369508:0.429014:0.369508:0.000000
A:@0.631530:0.384943:0.641415:0.384943:0.641415:0.369508:0.631530:0.369508:0.000000
B:@0.671087:0.384943:0.679923:0.384943:0.679923:0.369508:0.671087:0.369508:0.000000
define la función inversa :@0.073054:0.401585:0.253469:0.401585:0.253469:0.385872:0.073054:0.385872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.253224:0.401585:0.257918:0.401585:0.257918:0.386150:0.253224:0.386150:0.000000
2:@0.257845:0.401030:0.273178:0.401030:0.273178:0.387315:0.257845:0.387315:0.000000
1:@0.273128:0.395521:0.278365:0.395521:0.278365:0.386361:0.273128:0.386361:0.000000
 de   en   mediante la siguiente relación::@0.278317:0.401585:0.575739:0.401585:0.575739:0.385872:0.278317:0.385872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.304989:0.401585:0.313824:0.401585:0.313824:0.386150:0.304989:0.386150:0.000000
A:@0.340276:0.401585:0.350160:0.401585:0.350160:0.386150:0.340276:0.386150:0.000000
x:@0.262542:0.428947:0.269997:0.428947:0.269997:0.413512:0.262542:0.413512:0.000000
    ,      ,         ( ) :@0.269702:0.428947:0.424434:0.428947:0.424434:0.413234:0.269702:0.413234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.273439:0.428808:0.288772:0.428808:0.288772:0.414760:0.273439:0.414760:0.000000
A y:@0.292196:0.428947:0.316549:0.428947:0.316549:0.413512:0.292196:0.413512:0.000000:0.000000:0.000000
[:@0.320801:0.428808:0.336134:0.428808:0.336134:0.414760:0.320801:0.414760:0.000000
B:@0.340368:0.428947:0.349203:0.428947:0.349203:0.413512:0.340368:0.413512:0.000000
y:@0.368236:0.428947:0.375710:0.428947:0.375710:0.413512:0.368236:0.413512:0.000000
5:@0.379594:0.428392:0.394927:0.428392:0.394927:0.414677:0.379594:0.414677:0.000000
f x:@0.398792:0.428947:0.415672:0.428947:0.415672:0.413512:0.398792:0.413512:0.000000:0.000000:0.000000
⇔:@0.424342:0.428531:0.443522:0.428531:0.443522:0.411542:0.424342:0.411542:0.000000
     :@0.443430:0.428947:0.477999:0.428947:0.477999:0.413234:0.443430:0.413234:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.447387:0.428947:0.454842:0.428947:0.454842:0.413512:0.447387:0.413512:0.000000
5:@0.458726:0.428392:0.474060:0.428392:0.474060:0.414677:0.458726:0.414677:0.000000
f:@0.477925:0.428947:0.482619:0.428947:0.482619:0.413512:0.477925:0.413512:0.000000
2:@0.482580:0.422561:0.491520:0.422561:0.491520:0.414565:0.482580:0.414565:0.000000
1:@0.491466:0.422885:0.496703:0.422885:0.496703:0.413724:0.491466:0.413724:0.000000
( ).:@0.496655:0.428948:0.516866:0.428948:0.516866:0.413236:0.496655:0.413236:0.000000:0.000000:0.000000:0.000000
y:@0.501460:0.428948:0.508933:0.428948:0.508933:0.413513:0.501460:0.413513:0.000000
Ejercicios resueltos:@0.073086:0.456310:0.216096:0.456310:0.216096:0.439641:0.073086:0.439641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Sea     { ,  ,  },     {0, 1, 2}. y   la función de   en   definida como  ( )   0,   :@0.073089:0.483675:0.710450:0.483675:0.710450:0.467962:0.073089:0.467962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.135595:0.483675:0.145480:0.483675:0.145480:0.468239:0.135595:0.468239:0.000000
5:@0.151407:0.483120:0.166740:0.483120:0.166740:0.469404:0.151407:0.469404:0.000000
a b c B:@0.177840:0.483675:0.246002:0.483675:0.246002:0.468239:0.177840:0.468239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.251929:0.483120:0.267262:0.483120:0.267262:0.469404:0.251929:0.469404:0.000000
f:@0.352598:0.483675:0.357292:0.483675:0.357292:0.468239:0.352598:0.468239:0.000000
A:@0.470220:0.483675:0.480105:0.483675:0.480105:0.468239:0.470220:0.468239:0.000000
B:@0.511011:0.483675:0.519846:0.483675:0.519846:0.468239:0.511011:0.468239:0.000000
f a:@0.642420:0.483675:0.661656:0.483675:0.661656:0.468239:0.642420:0.468239:0.000000:0.000000:0.000000
5:@0.672682:0.483120:0.688015:0.483120:0.688015:0.469404:0.672682:0.469404:0.000000
 :@0.706419:0.483675:0.710450:0.483675:0.710450:0.467962:0.706419:0.467962:0.000000
f b:@0.103290:0.500317:0.121974:0.500317:0.121974:0.484881:0.103290:0.484881:0.000000:0.000000:0.000000
( )   1,  ( )   2.:@0.107911:0.500317:0.222864:0.500317:0.222864:0.484604:0.107911:0.484604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.130643:0.499762:0.145977:0.499762:0.145977:0.486046:0.130643:0.486046:0.000000
f c:@0.165801:0.500317:0.182883:0.500317:0.182883:0.484881:0.165801:0.484881:0.000000:0.000000:0.000000
5:@0.191553:0.499762:0.206886:0.499762:0.206886:0.486046:0.191553:0.486046:0.000000
 :@0.073089:0.522319:0.077120:0.522319:0.077120:0.506606:0.073089:0.506606:0.000000
Por supuesto,   es biyectiva. Determinemos :@0.133336:0.522319:0.448564:0.522319:0.448564:0.506606:0.133336:0.506606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.234857:0.522319:0.239551:0.522319:0.239551:0.506884:0.234857:0.506884:0.000000
f:@0.448326:0.522319:0.453020:0.522319:0.453020:0.506884:0.448326:0.506884:0.000000
2:@0.452963:0.515932:0.461902:0.515932:0.461902:0.507936:0.452963:0.507936:0.000000
1:@0.461849:0.516255:0.467086:0.516255:0.467086:0.507095:0.461849:0.507095:0.000000
. Tenemos::@0.467038:0.522319:0.542834:0.522319:0.542834:0.506606:0.467038:0.506606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.133336:0.538961:0.142245:0.538961:0.142245:0.523248:0.133336:0.523248:0.000000
5:@0.146183:0.538406:0.161516:0.538406:0.161516:0.524691:0.146183:0.524691:0.000000
  ( ) :@0.161424:0.538961:0.192827:0.538961:0.192827:0.523248:0.161424:0.523248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f a:@0.165382:0.538961:0.184065:0.538961:0.184065:0.523526:0.165382:0.523526:0.000000:0.000000:0.000000
⇔:@0.192735:0.538545:0.211915:0.538545:0.211915:0.521556:0.192735:0.521556:0.000000
     :@0.211823:0.538961:0.248196:0.538961:0.248196:0.523248:0.211823:0.523248:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.215781:0.538961:0.225040:0.538961:0.225040:0.523526:0.215781:0.523526:0.000000
5:@0.228923:0.538406:0.244257:0.538406:0.244257:0.524691:0.228923:0.524691:0.000000
f:@0.248122:0.538961:0.252816:0.538961:0.252816:0.523526:0.248122:0.523526:0.000000
2:@0.252742:0.532574:0.261682:0.532574:0.261682:0.524577:0.252742:0.524577:0.000000
1:@0.261628:0.532897:0.266865:0.532897:0.266865:0.523737:0.261628:0.523737:0.000000
(0),   1    ( ) :@0.266817:0.538961:0.359792:0.538961:0.359792:0.523248:0.266817:0.523248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.313148:0.538406:0.328482:0.538406:0.328482:0.524691:0.313148:0.524691:0.000000
f b:@0.332347:0.538961:0.351031:0.538961:0.351031:0.523526:0.332347:0.523526:0.000000:0.000000:0.000000
⇔:@0.359700:0.538545:0.378881:0.538545:0.378881:0.521556:0.359700:0.521556:0.000000
     :@0.378789:0.538961:0.415161:0.538961:0.415161:0.523248:0.378789:0.523248:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.382746:0.538961:0.392005:0.538961:0.392005:0.523526:0.382746:0.523526:0.000000
5:@0.395889:0.538406:0.411222:0.538406:0.411222:0.524691:0.395889:0.524691:0.000000
f:@0.415088:0.538961:0.419782:0.538961:0.419782:0.523526:0.415088:0.523526:0.000000
2:@0.419700:0.532574:0.428639:0.532574:0.428639:0.524577:0.419700:0.524577:0.000000
1:@0.428585:0.532897:0.433822:0.532897:0.433822:0.523737:0.428585:0.523737:0.000000
(1),   2    ( ) :@0.433774:0.538961:0.525148:0.538961:0.525148:0.523248:0.433774:0.523248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.480106:0.538406:0.495439:0.538406:0.495439:0.524691:0.480106:0.524691:0.000000
f c:@0.499304:0.538961:0.516386:0.538961:0.516386:0.523526:0.499304:0.523526:0.000000:0.000000:0.000000
⇔:@0.525056:0.538545:0.544236:0.538545:0.544236:0.521556:0.525056:0.521556:0.000000
     :@0.544144:0.538961:0.578916:0.538961:0.578916:0.523248:0.544144:0.523248:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.548102:0.538961:0.555759:0.538961:0.555759:0.523526:0.548102:0.523526:0.000000
5:@0.559643:0.538406:0.574977:0.538406:0.574977:0.524691:0.559643:0.524691:0.000000
f:@0.578842:0.538961:0.583536:0.538961:0.583536:0.523526:0.578842:0.523526:0.000000
2:@0.583454:0.532574:0.592393:0.532574:0.592393:0.524577:0.583454:0.524577:0.000000
1:@0.592340:0.532897:0.597576:0.532897:0.597576:0.523737:0.592340:0.523737:0.000000
(2).:@0.597529:0.538961:0.619249:0.538961:0.619249:0.523248:0.597529:0.523248:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.555603:0.077120:0.555603:0.077120:0.539890:0.073089:0.539890:0.000000
La función :@0.133336:0.555603:0.213444:0.555603:0.213444:0.539890:0.133336:0.539890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.213287:0.555603:0.217981:0.555603:0.217981:0.540167:0.213287:0.540167:0.000000
2:@0.217914:0.549215:0.226854:0.549215:0.226854:0.541219:0.217914:0.541219:0.000000
1:@0.226800:0.549539:0.232037:0.549539:0.232037:0.540378:0.226800:0.540378:0.000000
 de   en   está definida como :@0.231991:0.555603:0.450890:0.555603:0.450890:0.539890:0.231991:0.539890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.258663:0.555603:0.267498:0.555603:0.267498:0.540167:0.258663:0.540167:0.000000
A:@0.293950:0.555603:0.303834:0.555603:0.303834:0.540167:0.293950:0.540167:0.000000
f:@0.450669:0.555603:0.455363:0.555603:0.455363:0.540167:0.450669:0.540167:0.000000
2:@0.455331:0.549215:0.464270:0.549215:0.464270:0.541219:0.455331:0.541219:0.000000
1:@0.464217:0.549539:0.469454:0.549539:0.469454:0.540378:0.464217:0.540378:0.000000
(0)    ,   :@0.469408:0.555603:0.535306:0.555603:0.535306:0.539890:0.469408:0.539890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.491846:0.555048:0.507179:0.555048:0.507179:0.541332:0.491846:0.541332:0.000000
a f:@0.511045:0.555603:0.539889:0.555603:0.539889:0.540167:0.511045:0.540167:0.000000:0.000000:0.000000
2:@0.539839:0.549215:0.548778:0.549215:0.548778:0.541219:0.539839:0.541219:0.000000
1:@0.548724:0.549539:0.553961:0.549539:0.553961:0.540378:0.548724:0.540378:0.000000
(1)    , :@0.553915:0.555603:0.611898:0.555603:0.611898:0.539890:0.553915:0.539890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.576354:0.555048:0.591687:0.555048:0.591687:0.541332:0.576354:0.541332:0.000000
b f:@0.595552:0.555603:0.616500:0.555603:0.616500:0.540167:0.595552:0.540167:0.000000:0.000000:0.000000
2:@0.616445:0.549215:0.625384:0.549215:0.625384:0.541219:0.616445:0.541219:0.000000
1:@0.625330:0.549539:0.630567:0.549539:0.630567:0.540378:0.625330:0.540378:0.000000
(2)    .:@0.630521:0.555603:0.682945:0.555603:0.682945:0.539890:0.630521:0.539890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.652960:0.555048:0.668293:0.555048:0.668293:0.541332:0.652960:0.541332:0.000000
c:@0.672158:0.555603:0.679816:0.555603:0.679816:0.540167:0.672158:0.540167:0.000000
2.  Sean     { ,  ,  ,  },     {1, 2, 3, 4},     { ,  ,  ,  }. Consideramos las funciones   y   :@0.073089:0.582966:0.710288:0.582966:0.710288:0.567253:0.073089:0.567253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.143455:0.582966:0.153340:0.582966:0.153340:0.567531:0.143455:0.567531:0.000000
5:@0.157757:0.582411:0.173091:0.582411:0.173091:0.568696:0.157757:0.568696:0.000000
a b c d B:@0.182368:0.582966:0.261924:0.582966:0.261924:0.567531:0.182368:0.567531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.266342:0.582411:0.281675:0.582411:0.281675:0.568696:0.266342:0.568696:0.000000
C:@0.362188:0.582966:0.372091:0.582966:0.372091:0.567531:0.362188:0.567531:0.000000
5:@0.376509:0.582411:0.391842:0.582411:0.391842:0.568696:0.376509:0.568696:0.000000
i j k m:@0.401120:0.582966:0.453525:0.582966:0.453525:0.567531:0.401120:0.567531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.675369:0.582966:0.706257:0.582966:0.706257:0.567531:0.675369:0.567531:0.000000:0.000000:0.000000
definidas como se indica a continuación: :@0.103125:0.599608:0.402482:0.599608:0.402482:0.583895:0.103125:0.583895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.621610:0.077120:0.621610:0.077120:0.605898:0.073089:0.605898:0.000000
f a:@0.103210:0.621610:0.121893:0.621610:0.121893:0.606175:0.103210:0.606175:0.000000:0.000000:0.000000
( )   2,    ( )   4,    ( )   1,    ( )   3,:@0.107830:0.621610:0.371551:0.621610:0.371551:0.605898:0.107830:0.605898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.130563:0.621056:0.145896:0.621056:0.145896:0.607340:0.130563:0.607340:0.000000
f b:@0.173636:0.621610:0.192319:0.621610:0.192319:0.606175:0.173636:0.606175:0.000000:0.000000:0.000000
5:@0.200989:0.621056:0.216322:0.621056:0.216322:0.607340:0.200989:0.607340:0.000000
f c:@0.244062:0.621610:0.261144:0.621610:0.261144:0.606175:0.244062:0.606175:0.000000:0.000000:0.000000
5:@0.269814:0.621056:0.285147:0.621056:0.285147:0.607340:0.269814:0.607340:0.000000
f d:@0.312887:0.621610:0.331570:0.621610:0.331570:0.606175:0.312887:0.606175:0.000000:0.000000:0.000000
5:@0.340240:0.621056:0.355573:0.621056:0.355573:0.607340:0.340240:0.607340:0.000000
 :@0.073089:0.638252:0.077120:0.638252:0.077120:0.622539:0.073089:0.622539:0.000000
g:@0.103210:0.638252:0.112468:0.638252:0.112468:0.622817:0.103210:0.622817:0.000000
(1)    ,    (2)    ,    (3)    ,    (4)    .:@0.112395:0.638252:0.383902:0.638252:0.383902:0.622539:0.112395:0.622539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.134833:0.637697:0.150167:0.637697:0.150167:0.623982:0.134833:0.623982:0.000000
k g:@0.154032:0.638252:0.185748:0.638252:0.185748:0.622817:0.154032:0.622817:0.000000:0.000000:0.000000
5:@0.208113:0.637697:0.223446:0.637697:0.223446:0.623982:0.208113:0.623982:0.000000
m g:@0.227311:0.638252:0.266077:0.638252:0.266077:0.622817:0.227311:0.622817:0.000000:0.000000:0.000000
5:@0.288442:0.637697:0.303775:0.637697:0.303775:0.623982:0.288442:0.623982:0.000000
j g:@0.307641:0.638252:0.335417:0.638252:0.335417:0.622817:0.307641:0.622817:0.000000:0.000000:0.000000
5:@0.357782:0.637697:0.373115:0.637697:0.373115:0.623982:0.357782:0.623982:0.000000
i:@0.376981:0.638252:0.380773:0.638252:0.380773:0.622817:0.376981:0.622817:0.000000
 :@0.073089:0.665615:0.077120:0.665615:0.077120:0.649903:0.073089:0.649903:0.000000
Claramente, las funciones   y   son biyectivas. Las funciones inversas :@0.103203:0.665615:0.622995:0.665615:0.622995:0.649903:0.103203:0.649903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.300534:0.665615:0.305228:0.665615:0.305228:0.650180:0.300534:0.650180:0.000000
g:@0.323875:0.665615:0.333134:0.665615:0.333134:0.650180:0.323875:0.650180:0.000000
f:@0.623895:0.665615:0.628588:0.665615:0.628588:0.650180:0.623895:0.650180:0.000000
2:@0.628694:0.659228:0.637633:0.659228:0.637633:0.651232:0.628694:0.651232:0.000000
1:@0.637719:0.659551:0.642956:0.659551:0.642956:0.650391:0.637719:0.650391:0.000000
 y :@0.643021:0.665615:0.660453:0.665615:0.660453:0.649903:0.643021:0.649903:0.000000:0.000000:0.000000
g:@0.661576:0.665615:0.670835:0.665615:0.670835:0.650180:0.661576:0.650180:0.000000
2:@0.670932:0.659228:0.679871:0.659228:0.679871:0.651232:0.670932:0.651232:0.000000
1:@0.679957:0.659551:0.685194:0.659551:0.685194:0.650391:0.679957:0.650391:0.000000
 se :@0.685261:0.665615:0.710380:0.665615:0.710380:0.649903:0.685261:0.649903:0.000000:0.000000:0.000000:0.000000
definen a continuación: :@0.103205:0.682257:0.278626:0.682257:0.278626:0.666545:0.103205:0.666545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.709619:0.077120:0.709619:0.077120:0.693906:0.073089:0.693906:0.000000
f:@0.103210:0.709619:0.107903:0.709619:0.107903:0.694184:0.103210:0.694184:0.000000
2:@0.107837:0.703232:0.116776:0.703232:0.116776:0.695236:0.107837:0.695236:0.000000
1:@0.116723:0.703555:0.121960:0.703555:0.121960:0.694395:0.116723:0.694395:0.000000
(1)    ,   :@0.121912:0.709619:0.186209:0.709619:0.186209:0.693906:0.121912:0.693906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.144351:0.709064:0.159684:0.709064:0.159684:0.695349:0.144351:0.695349:0.000000
c f:@0.163550:0.709619:0.190792:0.709619:0.190792:0.694184:0.163550:0.694184:0.000000:0.000000:0.000000
2:@0.190743:0.703232:0.199683:0.703232:0.199683:0.695236:0.190743:0.695236:0.000000
1:@0.199629:0.703555:0.204866:0.703555:0.204866:0.694395:0.199629:0.694395:0.000000
(2)    ,   :@0.204818:0.709619:0.270716:0.709619:0.270716:0.693906:0.204818:0.693906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.227257:0.709064:0.242590:0.709064:0.242590:0.695349:0.227257:0.695349:0.000000
a f:@0.246456:0.709619:0.275300:0.709619:0.275300:0.694184:0.246456:0.694184:0.000000:0.000000:0.000000
2:@0.275250:0.703232:0.284189:0.703232:0.284189:0.695236:0.275250:0.695236:0.000000
1:@0.284135:0.703555:0.289372:0.703555:0.289372:0.694395:0.284135:0.694395:0.000000
(3)    ,   :@0.289326:0.709619:0.355224:0.709619:0.355224:0.693906:0.289326:0.693906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.311764:0.709064:0.327098:0.709064:0.327098:0.695349:0.311764:0.695349:0.000000
d f:@0.330963:0.709619:0.359807:0.709619:0.359807:0.694184:0.330963:0.694184:0.000000:0.000000:0.000000
2:@0.359757:0.703232:0.368696:0.703232:0.368696:0.695236:0.359757:0.695236:0.000000
1:@0.368643:0.703555:0.373880:0.703555:0.373880:0.694395:0.368643:0.694395:0.000000
(4)    ,:@0.373832:0.709619:0.427857:0.709619:0.427857:0.693906:0.373832:0.693906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.396271:0.709064:0.411604:0.709064:0.411604:0.695349:0.396271:0.695349:0.000000
b:@0.415469:0.709619:0.424728:0.709619:0.424728:0.694184:0.415469:0.694184:0.000000
 :@0.073089:0.726261:0.077120:0.726261:0.077120:0.710548:0.073089:0.710548:0.000000
g:@0.103210:0.726261:0.112468:0.726261:0.112468:0.710826:0.103210:0.710826:0.000000
2:@0.112402:0.719874:0.121341:0.719874:0.121341:0.711878:0.112402:0.711878:0.000000
1:@0.121288:0.720197:0.126525:0.720197:0.126525:0.711037:0.121288:0.711037:0.000000
( )   4,   :@0.126477:0.726261:0.186927:0.726261:0.186927:0.710548:0.126477:0.710548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.131282:0.726261:0.135074:0.726261:0.135074:0.710826:0.131282:0.710826:0.000000
5:@0.143743:0.725706:0.159077:0.725706:0.159077:0.711991:0.143743:0.711991:0.000000
g:@0.186816:0.726261:0.196075:0.726261:0.196075:0.710826:0.186816:0.710826:0.000000
2:@0.196008:0.719874:0.204947:0.719874:0.204947:0.711878:0.196008:0.711878:0.000000
1:@0.204894:0.720197:0.210131:0.720197:0.210131:0.711037:0.204894:0.711037:0.000000
( )   3,   :@0.210083:0.726261:0.272667:0.726261:0.272667:0.710548:0.210083:0.710548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.217188:0.726261:0.220814:0.726261:0.220814:0.710826:0.217188:0.710826:0.000000
5:@0.229484:0.725706:0.244817:0.725706:0.244817:0.711991:0.229484:0.711991:0.000000
g:@0.272557:0.726261:0.281816:0.726261:0.281816:0.710826:0.272557:0.710826:0.000000
2:@0.281747:0.719874:0.290687:0.719874:0.290687:0.711878:0.281747:0.711878:0.000000
1:@0.290633:0.720197:0.295870:0.720197:0.295870:0.711037:0.290633:0.711037:0.000000
( )   1,   :@0.295824:0.726261:0.360047:0.726261:0.360047:0.710548:0.295824:0.710548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.300628:0.726261:0.308193:0.726261:0.308193:0.710826:0.300628:0.710826:0.000000
5:@0.316863:0.725706:0.332197:0.725706:0.332197:0.711991:0.316863:0.711991:0.000000
g:@0.359936:0.726261:0.369195:0.726261:0.369195:0.710826:0.359936:0.710826:0.000000
2:@0.369127:0.719874:0.378066:0.719874:0.378066:0.711878:0.369127:0.711878:0.000000
1:@0.378012:0.720197:0.383249:0.720197:0.383249:0.711037:0.378012:0.711037:0.000000
( )   2.:@0.383203:0.726261:0.442603:0.726261:0.442603:0.710548:0.383203:0.710548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.388007:0.726261:0.402623:0.726261:0.402623:0.710826:0.388007:0.710826:0.000000
5:@0.411293:0.725706:0.426626:0.725706:0.426626:0.711991:0.411293:0.711991:0.000000
 :@0.073089:0.753624:0.077120:0.753624:0.077120:0.737912:0.073089:0.737912:0.000000
Entonces, la función :@0.103203:0.753624:0.252931:0.753624:0.252931:0.737912:0.103203:0.737912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f    g:@0.252731:0.753624:0.293208:0.753624:0.293208:0.738189:0.252731:0.738189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.257358:0.747237:0.266297:0.747237:0.266297:0.739241:0.257358:0.739241:0.000000
1:@0.266243:0.747560:0.271480:0.747560:0.271480:0.738400:0.266243:0.738400:0.000000
+:@0.274672:0.754026:0.280802:0.754026:0.280802:0.741129:0.274672:0.741129:0.000000
2:@0.293156:0.747237:0.302096:0.747237:0.302096:0.739241:0.293156:0.739241:0.000000
1:@0.302042:0.747560:0.307279:0.747560:0.307279:0.738400:0.302042:0.738400:0.000000
 se define como sigue: :@0.307231:0.753624:0.473541:0.753624:0.473541:0.737912:0.307231:0.737912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.103203:0.770266:0.108081:0.770266:0.108081:0.754553:0.103203:0.754553:0.000000
f    g:@0.108007:0.770266:0.148485:0.770266:0.148485:0.754831:0.108007:0.754831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.112634:0.763879:0.121574:0.763879:0.121574:0.755883:0.112634:0.755883:0.000000
1:@0.121520:0.764202:0.126757:0.764202:0.126757:0.755042:0.121520:0.755042:0.000000
+:@0.129949:0.770668:0.136079:0.770668:0.136079:0.757771:0.129949:0.757771:0.000000
2:@0.148434:0.763879:0.157373:0.763879:0.157373:0.755883:0.148434:0.755883:0.000000
1:@0.157319:0.764202:0.162556:0.764202:0.162556:0.755042:0.157319:0.755042:0.000000
)( )   :@0.162508:0.770266:0.203833:0.770266:0.203833:0.754553:0.162508:0.754553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.172099:0.770266:0.175891:0.770266:0.175891:0.754831:0.172099:0.754831:0.000000
5:@0.184560:0.769711:0.199894:0.769711:0.199894:0.755996:0.184560:0.755996:0.000000
f:@0.203759:0.770266:0.208453:0.770266:0.208453:0.754831:0.203759:0.754831:0.000000
2:@0.208396:0.763879:0.217335:0.763879:0.217335:0.755883:0.208396:0.755883:0.000000
1:@0.217282:0.764202:0.222519:0.764202:0.222519:0.755042:0.217282:0.755042:0.000000
(:@0.222471:0.770266:0.227349:0.770266:0.227349:0.754553:0.222471:0.754553:0.000000
g:@0.227275:0.770266:0.236534:0.770266:0.236534:0.754831:0.227275:0.754831:0.000000
2:@0.236460:0.763879:0.245400:0.763879:0.245400:0.755883:0.236460:0.755883:0.000000
1:@0.245346:0.764202:0.250583:0.764202:0.250583:0.755042:0.245346:0.755042:0.000000
( ))   :@0.250537:0.770266:0.291880:0.770266:0.291880:0.754553:0.250537:0.754553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.255341:0.770266:0.259133:0.770266:0.259133:0.754831:0.255341:0.754831:0.000000
5:@0.272607:0.769711:0.287940:0.769711:0.287940:0.755996:0.272607:0.755996:0.000000
f:@0.291806:0.770266:0.296500:0.770266:0.296500:0.754831:0.291806:0.754831:0.000000
2:@0.296423:0.763879:0.305362:0.763879:0.305362:0.755883:0.296423:0.755883:0.000000
1:@0.305309:0.764202:0.310545:0.764202:0.310545:0.755042:0.305309:0.755042:0.000000
(4)    ,:@0.310498:0.770266:0.364523:0.770266:0.364523:0.754553:0.310498:0.754553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.332936:0.769711:0.348269:0.769711:0.348269:0.755996:0.332936:0.755996:0.000000
b:@0.352135:0.770266:0.361394:0.770266:0.361394:0.754831:0.352135:0.754831:0.000000
(:@0.103203:0.786908:0.108081:0.786908:0.108081:0.771195:0.103203:0.771195:0.000000
f    g:@0.108007:0.786908:0.148485:0.786908:0.148485:0.771473:0.108007:0.771473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.112634:0.780521:0.121574:0.780521:0.121574:0.772524:0.112634:0.772524:0.000000
1:@0.121520:0.780844:0.126757:0.780844:0.126757:0.771683:0.121520:0.771683:0.000000
+:@0.129949:0.787310:0.136079:0.787310:0.136079:0.774413:0.129949:0.774413:0.000000
2:@0.148434:0.780521:0.157373:0.780521:0.157373:0.772524:0.148434:0.772524:0.000000
1:@0.157319:0.780844:0.162556:0.780844:0.162556:0.771683:0.157319:0.771683:0.000000
)( )   :@0.162508:0.786908:0.206428:0.786908:0.206428:0.771195:0.162508:0.771195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.174860:0.786908:0.178486:0.786908:0.178486:0.771473:0.174860:0.771473:0.000000
5:@0.187156:0.786353:0.202489:0.786353:0.202489:0.772637:0.187156:0.772637:0.000000
f:@0.206355:0.786908:0.211048:0.786908:0.211048:0.771473:0.206355:0.771473:0.000000
2:@0.210991:0.780521:0.219931:0.780521:0.219931:0.772524:0.210991:0.772524:0.000000
1:@0.219877:0.780844:0.225114:0.780844:0.225114:0.771683:0.219877:0.771683:0.000000
(:@0.225066:0.786908:0.229944:0.786908:0.229944:0.771195:0.225066:0.771195:0.000000
g:@0.229871:0.786908:0.239129:0.786908:0.239129:0.771473:0.229871:0.771473:0.000000
2:@0.239056:0.780521:0.247995:0.780521:0.247995:0.772524:0.239056:0.772524:0.000000
1:@0.247942:0.780844:0.253178:0.780844:0.253178:0.771683:0.247942:0.771683:0.000000
( ))   :@0.253132:0.786908:0.295690:0.786908:0.295690:0.771195:0.253132:0.771195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.259317:0.786908:0.262943:0.786908:0.262943:0.771473:0.259317:0.771473:0.000000
5:@0.276418:0.786353:0.291751:0.786353:0.291751:0.772637:0.276418:0.772637:0.000000
f:@0.295616:0.786908:0.300310:0.786908:0.300310:0.771473:0.295616:0.771473:0.000000
2:@0.300233:0.780521:0.309172:0.780521:0.309172:0.772524:0.300233:0.772524:0.000000
1:@0.309119:0.780844:0.314356:0.780844:0.314356:0.771683:0.309119:0.771683:0.000000
(3)   :@0.314308:0.786908:0.356019:0.786908:0.356019:0.771195:0.314308:0.771195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.336746:0.786353:0.352080:0.786353:0.352080:0.772637:0.336746:0.772637:0.000000
d,:@0.355945:0.786908:0.368131:0.786908:0.368131:0.771473:0.355945:0.771473:0.000000:0.000000
(:@0.103203:0.803550:0.108081:0.803550:0.108081:0.787837:0.103203:0.787837:0.000000
f    g:@0.108007:0.803550:0.148485:0.803550:0.148485:0.788114:0.108007:0.788114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.112634:0.797162:0.121574:0.797162:0.121574:0.789166:0.112634:0.789166:0.000000
1:@0.121520:0.797486:0.126757:0.797486:0.126757:0.788325:0.121520:0.788325:0.000000
+:@0.129949:0.803952:0.136079:0.803952:0.136079:0.791054:0.129949:0.791054:0.000000
2:@0.148434:0.797162:0.157373:0.797162:0.157373:0.789166:0.148434:0.789166:0.000000
1:@0.157319:0.797486:0.162556:0.797486:0.162556:0.788325:0.157319:0.788325:0.000000
)( )   :@0.162508:0.803550:0.207606:0.803550:0.207606:0.787837:0.162508:0.787837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.172099:0.803550:0.179664:0.803550:0.179664:0.788114:0.172099:0.788114:0.000000
5:@0.188334:0.802995:0.203667:0.802995:0.203667:0.789279:0.188334:0.789279:0.000000
f:@0.207533:0.803550:0.212226:0.803550:0.212226:0.788114:0.207533:0.788114:0.000000
2:@0.212170:0.797162:0.221109:0.797162:0.221109:0.789166:0.212170:0.789166:0.000000
1:@0.221055:0.797486:0.226292:0.797486:0.226292:0.788325:0.221055:0.788325:0.000000
(:@0.226244:0.803550:0.231122:0.803550:0.231122:0.787837:0.226244:0.787837:0.000000
g:@0.231049:0.803550:0.240308:0.803550:0.240308:0.788114:0.231049:0.788114:0.000000
2:@0.240234:0.797162:0.249173:0.797162:0.249173:0.789166:0.240234:0.789166:0.000000
1:@0.249120:0.797486:0.254356:0.797486:0.254356:0.788325:0.249120:0.788325:0.000000
( ))   :@0.254310:0.803550:0.299427:0.803550:0.299427:0.787837:0.254310:0.787837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.259115:0.803550:0.266680:0.803550:0.266680:0.788114:0.259115:0.788114:0.000000
5:@0.280154:0.802995:0.295487:0.802995:0.295487:0.789279:0.280154:0.789279:0.000000
f:@0.299353:0.803550:0.304047:0.803550:0.304047:0.788114:0.299353:0.788114:0.000000
2:@0.303970:0.797162:0.312909:0.797162:0.312909:0.789166:0.303970:0.789166:0.000000
1:@0.312856:0.797486:0.318092:0.797486:0.318092:0.788325:0.312856:0.788325:0.000000
(1)    ,:@0.318045:0.803550:0.370469:0.803550:0.370469:0.787837:0.318045:0.787837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.340483:0.802995:0.355816:0.802995:0.355816:0.789279:0.340483:0.789279:0.000000
c:@0.359682:0.803550:0.367339:0.803550:0.367339:0.788114:0.359682:0.788114:0.000000
(:@0.103203:0.820192:0.108081:0.820192:0.108081:0.804479:0.103203:0.804479:0.000000
f    g:@0.108007:0.820192:0.148486:0.820192:0.148486:0.804756:0.108007:0.804756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.112634:0.813804:0.121574:0.813804:0.121574:0.805808:0.112634:0.805808:0.000000
1:@0.121520:0.814128:0.126757:0.814128:0.126757:0.804967:0.121520:0.804967:0.000000
+:@0.129950:0.820594:0.136079:0.820594:0.136079:0.807696:0.129950:0.807696:0.000000
2:@0.148434:0.813804:0.157373:0.813804:0.157373:0.805808:0.148434:0.805808:0.000000
1:@0.157319:0.814128:0.162556:0.814128:0.162556:0.804967:0.157319:0.804967:0.000000
)( )   :@0.162508:0.820192:0.214656:0.820192:0.214656:0.804479:0.162508:0.804479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.172099:0.820192:0.186714:0.820192:0.186714:0.804756:0.172099:0.804756:0.000000
5:@0.195384:0.819637:0.210717:0.819637:0.210717:0.805921:0.195384:0.805921:0.000000
f:@0.214583:0.820192:0.219276:0.820192:0.219276:0.804756:0.214583:0.804756:0.000000
2:@0.219220:0.813804:0.228159:0.813804:0.228159:0.805808:0.219220:0.805808:0.000000
1:@0.228105:0.814128:0.233342:0.814128:0.233342:0.804967:0.228105:0.804967:0.000000
(:@0.233294:0.820192:0.238172:0.820192:0.238172:0.804479:0.233294:0.804479:0.000000
g:@0.238099:0.820192:0.247358:0.820192:0.247358:0.804756:0.238099:0.804756:0.000000
2:@0.247284:0.813804:0.256223:0.813804:0.256223:0.805808:0.247284:0.805808:0.000000
1:@0.256170:0.814128:0.261406:0.814128:0.261406:0.804967:0.256170:0.804967:0.000000
( ))   :@0.261359:0.820192:0.313525:0.820192:0.313525:0.804479:0.261359:0.804479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.266163:0.820192:0.280778:0.820192:0.280778:0.804756:0.266163:0.804756:0.000000
5:@0.294253:0.819637:0.309586:0.819637:0.309586:0.805921:0.294253:0.805921:0.000000
f:@0.313451:0.820192:0.318145:0.820192:0.318145:0.804756:0.313451:0.804756:0.000000
2:@0.318070:0.813804:0.327009:0.813804:0.327009:0.805808:0.318070:0.805808:0.000000
1:@0.326955:0.814128:0.332192:0.814128:0.332192:0.804967:0.326955:0.804967:0.000000
(2)    ,:@0.332145:0.820192:0.386170:0.820192:0.386170:0.804479:0.332145:0.804479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.354583:0.819637:0.369916:0.819637:0.369916:0.805921:0.354583:0.805921:0.000000
a:@0.373782:0.820192:0.383041:0.820192:0.383041:0.804756:0.373782:0.804756:0.000000
  :@0.073089:0.847555:0.081078:0.847555:0.081078:0.831842:0.073089:0.831842:0.000000:0.000000
y la función (:@0.103203:0.847555:0.195755:0.847555:0.195755:0.831842:0.103203:0.831842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g   f:@0.195588:0.847555:0.222002:0.847555:0.222002:0.832119:0.195588:0.832119:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.208031:0.847957:0.214161:0.847957:0.214161:0.835060:0.208031:0.835060:0.000000
)  se obtiene del modo siguiente: :@0.221947:0.847555:0.474154:0.847555:0.474154:0.831842:0.221947:0.831842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.226736:0.841167:0.235676:0.841167:0.235676:0.833171:0.226736:0.833171:0.000000
1:@0.235622:0.841491:0.240859:0.841491:0.240859:0.832330:0.235622:0.832330:0.000000
(:@0.103203:0.864197:0.108081:0.864197:0.108081:0.848484:0.103203:0.848484:0.000000
g   f a:@0.108007:0.864197:0.153215:0.864197:0.153215:0.848761:0.108007:0.848761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.120450:0.864599:0.126580:0.864599:0.126580:0.851701:0.120450:0.851701:0.000000
)( )    ( ( ))    (2)         (:@0.134366:0.864197:0.350559:0.864197:0.350559:0.848484:0.134366:0.848484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.161885:0.863642:0.177218:0.863642:0.177218:0.849926:0.161885:0.849926:0.000000
g f a:@0.181084:0.864197:0.213757:0.864197:0.213757:0.848761:0.181084:0.848761:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.227231:0.863642:0.242564:0.863642:0.242564:0.849926:0.227231:0.849926:0.000000
g:@0.246430:0.864197:0.255688:0.864197:0.255688:0.848761:0.246430:0.848761:0.000000
5:@0.278053:0.863642:0.293387:0.863642:0.293387:0.849926:0.278053:0.849926:0.000000
m:@0.297252:0.864197:0.311867:0.864197:0.311867:0.848761:0.297252:0.848761:0.000000
⇒:@0.319690:0.863781:0.337858:0.863781:0.337858:0.846792:0.319690:0.846792:0.000000
g   f:@0.350467:0.864197:0.376882:0.864197:0.376882:0.848761:0.350467:0.848761:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.362911:0.864599:0.369040:0.864599:0.369040:0.851701:0.362911:0.851701:0.000000
) ( )    ,:@0.376827:0.864197:0.455385:0.864197:0.455385:0.848484:0.376827:0.848484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.381632:0.857809:0.390571:0.857809:0.390571:0.849813:0.381632:0.849813:0.000000
1:@0.390517:0.858133:0.395754:0.858133:0.395754:0.848972:0.390517:0.848972:0.000000
m:@0.400513:0.864197:0.415128:0.864197:0.415128:0.848761:0.400513:0.848761:0.000000
5:@0.423798:0.863642:0.439131:0.863642:0.439131:0.849926:0.423798:0.849926:0.000000
a:@0.442997:0.864197:0.452255:0.864197:0.452255:0.848761:0.442997:0.848761:0.000000
(:@0.103203:0.880838:0.108081:0.880838:0.108081:0.865126:0.103203:0.865126:0.000000
g   f b:@0.108007:0.880838:0.153215:0.880838:0.153215:0.865403:0.108007:0.865403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.120450:0.881241:0.126580:0.881241:0.126580:0.868343:0.120450:0.868343:0.000000
)( )    ( ( ))    (4)         (:@0.134366:0.880838:0.339736:0.880838:0.339736:0.865126:0.134366:0.865126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.161885:0.880284:0.177218:0.880284:0.177218:0.866568:0.161885:0.866568:0.000000
g f b:@0.181084:0.880838:0.213757:0.880838:0.213757:0.865403:0.181084:0.865403:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.227231:0.880284:0.242564:0.880284:0.242564:0.866568:0.227231:0.866568:0.000000
g:@0.246429:0.880838:0.255688:0.880838:0.255688:0.865403:0.246429:0.865403:0.000000
5:@0.278053:0.880284:0.293386:0.880284:0.293386:0.866568:0.278053:0.866568:0.000000
i:@0.297252:0.880838:0.301044:0.880838:0.301044:0.865403:0.297252:0.865403:0.000000
⇒:@0.308867:0.880422:0.327035:0.880422:0.327035:0.863434:0.308867:0.863434:0.000000
g   f:@0.339644:0.880838:0.366058:0.880838:0.366058:0.865403:0.339644:0.865403:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.352087:0.881241:0.358217:0.881241:0.358217:0.868343:0.352087:0.868343:0.000000
) ( )    ,:@0.366003:0.880838:0.433738:0.880838:0.433738:0.865126:0.366003:0.865126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.370808:0.874451:0.379748:0.874451:0.379748:0.866455:0.370808:0.866455:0.000000
1:@0.379694:0.874775:0.384931:0.874775:0.384931:0.865614:0.379694:0.865614:0.000000
i:@0.389689:0.880838:0.393481:0.880838:0.393481:0.865403:0.389689:0.865403:0.000000
5:@0.402151:0.880284:0.417484:0.880284:0.417484:0.866568:0.402151:0.866568:0.000000
b:@0.421350:0.880838:0.430608:0.880838:0.430608:0.865403:0.421350:0.865403:0.000000
(:@0.103203:0.897481:0.108081:0.897481:0.108081:0.881768:0.103203:0.881768:0.000000
g   f c:@0.108007:0.897481:0.151614:0.897481:0.151614:0.882045:0.108007:0.882045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.120450:0.897883:0.126580:0.897883:0.126580:0.884986:0.120450:0.884986:0.000000
)( )    ( ( ))    (1)         (:@0.134366:0.897481:0.340307:0.897481:0.340307:0.881768:0.134366:0.881768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.160284:0.896926:0.175617:0.896926:0.175617:0.883210:0.160284:0.883210:0.000000
g f c:@0.179482:0.897481:0.210554:0.897481:0.210554:0.882045:0.179482:0.882045:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.224028:0.896926:0.239361:0.896926:0.239361:0.883210:0.224028:0.883210:0.000000
g:@0.243227:0.897481:0.252486:0.897481:0.252486:0.882045:0.243227:0.882045:0.000000
5:@0.274850:0.896926:0.290184:0.896926:0.290184:0.883210:0.274850:0.883210:0.000000
k:@0.294049:0.897481:0.301615:0.897481:0.301615:0.882045:0.294049:0.882045:0.000000
⇒:@0.309438:0.897065:0.327606:0.897065:0.327606:0.880076:0.309438:0.880076:0.000000
g   f:@0.340215:0.897481:0.366629:0.897481:0.366629:0.882045:0.340215:0.882045:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.352658:0.897883:0.358787:0.897883:0.358787:0.884986:0.352658:0.884986:0.000000
) ( )    ,:@0.366574:0.897481:0.436480:0.897481:0.436480:0.881768:0.366574:0.881768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.371379:0.891093:0.380318:0.891093:0.380318:0.883097:0.371379:0.883097:0.000000
1:@0.380265:0.891416:0.385501:0.891416:0.385501:0.882256:0.380265:0.882256:0.000000
k:@0.390260:0.897481:0.397825:0.897481:0.397825:0.882045:0.390260:0.882045:0.000000
5:@0.406495:0.896926:0.421828:0.896926:0.421828:0.883210:0.406495:0.883210:0.000000
c:@0.425694:0.897481:0.433351:0.897481:0.433351:0.882045:0.425694:0.882045:0.000000
(:@0.103203:0.914123:0.108081:0.914123:0.108081:0.898410:0.103203:0.898410:0.000000
g   f d:@0.108007:0.914123:0.153215:0.914123:0.153215:0.898687:0.108007:0.898687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.120450:0.914525:0.126580:0.914525:0.126580:0.901627:0.120450:0.901627:0.000000
)( )    ( ( ))    (3)         (:@0.134366:0.914123:0.339570:0.914123:0.339570:0.898410:0.134366:0.898410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.161885:0.913568:0.177218:0.913568:0.177218:0.899852:0.161885:0.899852:0.000000
g f d:@0.181084:0.914123:0.213757:0.914123:0.213757:0.898687:0.181084:0.898687:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.227231:0.913568:0.242564:0.913568:0.242564:0.899852:0.227231:0.899852:0.000000
g:@0.246430:0.914123:0.255688:0.914123:0.255688:0.898687:0.246430:0.898687:0.000000
5:@0.278053:0.913568:0.293387:0.913568:0.293387:0.899852:0.278053:0.899852:0.000000
j:@0.297252:0.914123:0.300878:0.914123:0.300878:0.898687:0.297252:0.898687:0.000000
⇒:@0.308701:0.913707:0.326869:0.913707:0.326869:0.896718:0.308701:0.896718:0.000000
g   f:@0.339478:0.914123:0.365893:0.914123:0.365893:0.898687:0.339478:0.898687:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.351922:0.914525:0.358051:0.914525:0.358051:0.901627:0.351922:0.901627:0.000000
) ( )    . :@0.365837:0.914123:0.437438:0.914123:0.437438:0.898410:0.365837:0.898410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.370643:0.907735:0.379582:0.907735:0.379582:0.899739:0.370643:0.899739:0.000000
1:@0.379528:0.908059:0.384765:0.908059:0.384765:0.898898:0.379528:0.898898:0.000000
j:@0.389523:0.914123:0.393150:0.914123:0.393150:0.898687:0.389523:0.898687:0.000000
5:@0.401819:0.913568:0.417153:0.913568:0.417153:0.899852:0.401819:0.899852:0.000000
d:@0.421018:0.914123:0.430277:0.914123:0.430277:0.898687:0.421018:0.898687:0.000000
 :@0.073089:0.941486:0.077120:0.941486:0.077120:0.925773:0.073089:0.925773:0.000000
Comparando los resultados, se concluye que (:@0.103203:0.941486:0.436400:0.941486:0.436400:0.925773:0.103203:0.925773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g   f:@0.436050:0.941486:0.462465:0.941486:0.462465:0.926050:0.436050:0.926050:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.448494:0.941888:0.454623:0.941888:0.454623:0.928990:0.448494:0.928990:0.000000
)    :@0.462409:0.941486:0.504504:0.941486:0.504504:0.925773:0.462409:0.925773:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.467199:0.935098:0.476138:0.935098:0.476138:0.927102:0.467199:0.927102:0.000000
1:@0.476084:0.935422:0.481321:0.935422:0.481321:0.926261:0.476084:0.926261:0.000000
5:@0.485231:0.940931:0.500564:0.940931:0.500564:0.927215:0.485231:0.927215:0.000000
f:@0.504430:0.941486:0.509124:0.941486:0.509124:0.926050:0.504430:0.926050:0.000000
2:@0.509043:0.935098:0.517983:0.935098:0.517983:0.927102:0.509043:0.927102:0.000000
1:@0.517929:0.935422:0.523166:0.935422:0.523166:0.926261:0.517929:0.926261:0.000000
 :@0.523123:0.935422:0.525055:0.935422:0.525055:0.926423:0.523123:0.926423:0.000000
+:@0.525011:0.941887:0.531140:0.941887:0.531140:0.928989:0.525011:0.928989:0.000000
 g:@0.531048:0.941484:0.543547:0.941484:0.543547:0.926049:0.531048:0.926049:0.000000:0.000000
2:@0.543488:0.935098:0.552428:0.935098:0.552428:0.927102:0.543488:0.927102:0.000000
1:@0.552374:0.935422:0.557611:0.935422:0.557611:0.926261:0.552374:0.926261:0.000000
.:@0.557563:0.941486:0.560766:0.941486:0.560766:0.925773:0.557563:0.925773:0.000000
t.ly/LmPcl:@0.766107:0.932345:0.836986:0.932345:0.836986:0.916633:0.766107:0.916633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Composición de :@0.741982:0.800890:0.872782:0.800890:0.872782:0.783943:0.741982:0.783943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones:@0.741982:0.817531:0.819329:0.817531:0.819329:0.800584:0.741982:0.800584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000