24:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Números reales y funciones:@0.073089:0.043661:0.318030:0.043661:0.318030:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A continuación, tratamos las funciones reales  que son funciones cuyos conjuntos de :@0.293660:0.223195:0.931005:0.223195:0.931005:0.207482:0.293660:0.207482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.630033:0.223510:0.633527:0.223510:0.633527:0.206369:0.630033:0.206369:0.000000
salida y de llegada son subconjuntos de  . Consideraremos la monotonía de las :@0.293652:0.239837:0.931077:0.239837:0.931077:0.224124:0.293652:0.224124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.616773:0.238977:0.630063:0.238977:0.630063:0.226079:0.616773:0.226079:0.000000
funciones reales. Una forma importante de visualizar la función es utilizar su :@0.293652:0.256478:0.931430:0.256478:0.931430:0.240766:0.293652:0.240766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representación gráfica. De esta manera, en ella podemos ver la forma que tiene en :@0.293652:0.273120:0.931156:0.273120:0.931156:0.257408:0.293652:0.257408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos del crecimiento o decrecimiento en cada subconjunto del dominio, lo que a su :@0.293652:0.289762:0.930493:0.289762:0.930493:0.274049:0.293652:0.274049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vez, nos permite emitir algunas conclusiones.:@0.293652:0.306404:0.621752:0.306404:0.621752:0.290691:0.293652:0.290691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.293652:0.330188:0.371619:0.330188:0.371619:0.313518:0.293652:0.313518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.293652:0.353972:0.332870:0.353972:0.332870:0.338259:0.293652:0.338259:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.332289:0.353972:0.356936:0.353972:0.356936:0.338537:0.332289:0.338537:0.000000:0.000000:0.000000:0.000000
 dos subconjuntos no vacíos de  . Toda función   de   en   se llama función real.:@0.356807:0.353972:0.927031:0.353972:0.927031:0.338259:0.356807:0.338259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.584947:0.353112:0.598237:0.353112:0.598237:0.340215:0.584947:0.340215:0.000000
f:@0.700747:0.353972:0.705440:0.353972:0.705440:0.338537:0.700747:0.338537:0.000000
A:@0.730898:0.353972:0.740782:0.353972:0.740782:0.338537:0.730898:0.338537:0.000000
B:@0.766092:0.353972:0.774928:0.353972:0.774928:0.338537:0.766092:0.338537:0.000000
El conjunto de salida o dominio de   es  ; el conjunto de llegada es  ; y el recorrido de   :@0.293652:0.377756:0.930911:0.377756:0.930911:0.362043:0.293652:0.362043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.551114:0.377756:0.555808:0.377756:0.555808:0.362320:0.551114:0.362320:0.000000
A:@0.579700:0.377756:0.589585:0.377756:0.589585:0.362320:0.579700:0.362320:0.000000
B:@0.783800:0.377756:0.792636:0.377756:0.792636:0.362320:0.783800:0.362320:0.000000
f:@0.922186:0.377756:0.926880:0.377756:0.926880:0.362320:0.922186:0.362320:0.000000
es el subconjunto de  , definido como :@0.293633:0.394398:0.576277:0.394398:0.576277:0.378685:0.293633:0.378685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.449248:0.394398:0.458084:0.394398:0.458084:0.378962:0.449248:0.378962:0.000000
Rec( )   :@0.541690:0.418182:0.605031:0.418203:0.605031:0.402490:0.541690:0.402469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.572808:0.417888:0.577075:0.417888:0.577075:0.403856:0.572808:0.403856:0.000000
5:@0.585758:0.417648:0.601091:0.417648:0.601091:0.403933:0.585758:0.403933:0.000000
5:@0.604954:0.418417:0.608668:0.418417:0.608668:0.402368:0.604954:0.402368:0.000000
f x x   A:@0.608585:0.417888:0.672358:0.417888:0.672358:0.403856:0.608585:0.403856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.612785:0.417888:0.628297:0.417888:0.628297:0.403604:0.612785:0.403604:0.000000:0.000000:0.000000
| :@0.628230:0.417384:0.636982:0.417384:0.636982:0.404915:0.628230:0.404915:0.000000:0.000000
[:@0.646571:0.417762:0.660510:0.417762:0.660510:0.404990:0.646571:0.404990:0.000000
6:@0.672307:0.418417:0.676022:0.418417:0.676022:0.402368:0.672307:0.402368:0.000000
.:@0.675939:0.417888:0.678850:0.417888:0.678850:0.403604:0.675939:0.403604:0.000000
Tenemos :@0.293660:0.442748:0.362680:0.442748:0.362680:0.427036:0.293660:0.427036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.362577:0.442748:0.373106:0.442748:0.373106:0.427313:0.362577:0.427313:0.000000:0.000000
[:@0.373014:0.442458:0.387650:0.442458:0.387650:0.429049:0.373014:0.429049:0.000000
 :@0.387562:0.442610:0.392164:0.442610:0.392164:0.428561:0.387562:0.428561:0.000000
Rec ( ) :@0.392293:0.442748:0.438955:0.442748:0.438955:0.427036:0.392293:0.427036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  f:@0.418026:0.442748:0.430562:0.442748:0.430562:0.427313:0.418026:0.427313:0.000000:0.000000:0.000000
     :@0.457953:0.442748:0.485723:0.442748:0.485723:0.427036:0.457953:0.427036:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.474495:0.442748:0.481950:0.442748:0.481950:0.427313:0.474495:0.427313:0.000000
[:@0.485665:0.442458:0.500301:0.442458:0.500301:0.429049:0.485665:0.429049:0.000000
 :@0.500213:0.442610:0.504815:0.442610:0.504815:0.428561:0.500213:0.428561:0.000000
A,:@0.504944:0.442748:0.517902:0.442748:0.517902:0.427313:0.504944:0.427313:0.000000:0.000000
 tal que :@0.517663:0.442748:0.574689:0.442748:0.574689:0.427036:0.517663:0.427036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = f  x:@0.574578:0.442748:0.618719:0.442748:0.618719:0.427313:0.574578:0.427313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ). Cuando el conjunto de llegada es todo  , :@0.606644:0.442748:0.930943:0.442748:0.930943:0.427036:0.606644:0.427036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.910695:0.441889:0.923985:0.441889:0.923985:0.428991:0.910695:0.428991:0.000000
diremos simplemente :@0.293665:0.459390:0.453720:0.459390:0.453720:0.443678:0.293665:0.443678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función real:@0.453330:0.459390:0.541276:0.459390:0.541276:0.442721:0.453330:0.442721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 definida en  .:@0.540967:0.459390:0.640936:0.459390:0.640936:0.443678:0.540967:0.443678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.628107:0.459390:0.637991:0.459390:0.637991:0.443955:0.628107:0.443955:0.000000
Definición:@0.293647:0.483174:0.371614:0.483174:0.371614:0.466505:0.293647:0.466505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.293647:0.506958:0.333160:0.506958:0.333160:0.491246:0.293647:0.491246:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.332928:0.506958:0.357971:0.506958:0.357971:0.491523:0.332928:0.491523:0.000000:0.000000:0.000000:0.000000
 dos subconjuntos no vacíos de   y   una función real de   en  . El grafo de   se :@0.357925:0.506958:0.930897:0.506958:0.930897:0.491246:0.357925:0.491246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.589967:0.506098:0.603257:0.506098:0.603257:0.493201:0.589967:0.493201:0.000000
f:@0.618829:0.506958:0.623523:0.506958:0.623523:0.491523:0.618829:0.491523:0.000000
A:@0.770781:0.506958:0.780666:0.506958:0.780666:0.491523:0.770781:0.491523:0.000000
B:@0.806859:0.506958:0.815695:0.506958:0.815695:0.491523:0.806859:0.491523:0.000000
f:@0.902706:0.506958:0.907400:0.506958:0.907400:0.491523:0.902706:0.491523:0.000000
designa con  ( ) y se define como el conjunto: :@0.293610:0.523600:0.633456:0.523600:0.633456:0.507887:0.293610:0.507887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G f:@0.386309:0.523600:0.406630:0.523600:0.406630:0.508165:0.386309:0.508165:0.000000:0.000000:0.000000
G:@0.538261:0.547384:0.549158:0.547384:0.549158:0.531949:0.538261:0.531949:0.000000
( ) :@0.549084:0.547384:0.567003:0.547400:0.567003:0.531688:0.549084:0.531671:0.000000:0.000000:0.000000:0.000000
f:@0.553962:0.547085:0.558229:0.547085:0.558229:0.533053:0.553962:0.533053:0.000000
5 :@0.566911:0.546846:0.586754:0.546846:0.586754:0.533130:0.566911:0.533130:0.000000:0.000000
5S:@0.586667:0.547615:0.594013:0.547615:0.594013:0.531565:0.586667:0.531565:0.000000:0.000000
x, f  x x   A:@0.593929:0.547085:0.675457:0.547085:0.675457:0.533053:0.593929:0.533053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S DD:@0.613725:0.547615:0.631413:0.547615:0.631413:0.531565:0.613725:0.531565:0.000000:0.000000:0.000000:0.000000
| :@0.631329:0.546581:0.640081:0.546581:0.640081:0.534112:0.631329:0.534112:0.000000:0.000000
[:@0.649670:0.546959:0.663609:0.546959:0.663609:0.534188:0.649670:0.534188:0.000000
6:@0.675406:0.547615:0.679121:0.547615:0.679121:0.531565:0.675406:0.531565:0.000000
.:@0.679034:0.547400:0.682237:0.547400:0.682237:0.531688:0.679034:0.531688:0.000000
El grafo de   es un subconjunto no vacío de :@0.293660:0.571184:0.693795:0.571184:0.693795:0.555472:0.293660:0.555472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.399980:0.571184:0.404674:0.571184:0.404674:0.555749:0.399980:0.555749:0.000000
 :@0.689747:0.571184:0.693779:0.571184:0.693779:0.555472:0.689747:0.555472:0.000000
R:@0.293660:0.586966:0.306950:0.586966:0.306950:0.574069:0.293660:0.574069:0.000000
2:@0.306959:0.581769:0.312195:0.581769:0.312195:0.572608:0.306959:0.572608:0.000000
,  ( ) :@0.312201:0.587832:0.349281:0.587832:0.349281:0.572120:0.312201:0.572120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G f:@0.319895:0.587832:0.340364:0.587832:0.340364:0.572397:0.319895:0.572397:0.000000:0.000000:0.000000
, :@0.349752:0.587694:0.369696:0.587694:0.369696:0.573645:0.349752:0.573645:0.000000:0.000000
R:@0.370221:0.586973:0.383511:0.586973:0.383511:0.574075:0.370221:0.574075:0.000000
2:@0.383519:0.581769:0.388756:0.581769:0.388756:0.572608:0.383519:0.572608:0.000000
. Este conjunto puede ser graficado en el :@0.388760:0.587832:0.693813:0.587832:0.693813:0.572120:0.388760:0.572120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema de coordenadas rectangulares. A la gráfica :@0.293668:0.604474:0.693640:0.604474:0.693640:0.588762:0.293668:0.588762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultante la denominaremos representación gráfica de :@0.293668:0.621116:0.693851:0.621116:0.693851:0.605403:0.293668:0.605403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.293668:0.637758:0.298362:0.637758:0.298362:0.622323:0.293668:0.622323:0.000000
. De la definición del conjunto  ( ) se tiene las :@0.298841:0.637758:0.693787:0.637758:0.693787:0.622045:0.298841:0.622045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G f:@0.560942:0.637758:0.582478:0.637758:0.582478:0.622323:0.560942:0.622323:0.000000:0.000000:0.000000
siguientes equivalencias::@0.293668:0.654400:0.472819:0.654400:0.472819:0.638687:0.293668:0.638687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.408346:0.678946:0.413224:0.678946:0.413224:0.663234:0.408346:0.663234:0.000000
x, y:@0.413150:0.678946:0.434502:0.678946:0.434502:0.663511:0.413150:0.663511:0.000000:0.000000:0.000000:0.000000
) :@0.434466:0.678946:0.443301:0.678946:0.443301:0.663234:0.434466:0.663234:0.000000:0.000000
[:@0.443191:0.678655:0.457827:0.678655:0.457827:0.665245:0.443191:0.665245:0.000000
 :@0.457739:0.678807:0.462341:0.678807:0.462341:0.664758:0.457739:0.664758:0.000000
G f:@0.462249:0.678945:0.482570:0.678945:0.482570:0.663510:0.462249:0.663510:0.000000:0.000000:0.000000
( )  :@0.473072:0.678945:0.495290:0.678945:0.495290:0.663233:0.473072:0.663233:0.000000:0.000000:0.000000:0.000000:0.000000
      ( ),:@0.514274:0.678945:0.575067:0.678945:0.575067:0.663233:0.514274:0.663233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.518225:0.678945:0.525699:0.678945:0.525699:0.663510:0.518225:0.663510:0.000000
5:@0.529583:0.678391:0.544916:0.678391:0.544916:0.664675:0.529583:0.664675:0.000000
f x:@0.548781:0.678945:0.567133:0.678945:0.567133:0.663510:0.548781:0.663510:0.000000:0.000000:0.000000
(:@0.408684:0.703492:0.413562:0.703492:0.413562:0.687779:0.408684:0.687779:0.000000
x, y:@0.413488:0.703492:0.434840:0.703492:0.434840:0.688057:0.413488:0.688057:0.000000:0.000000:0.000000:0.000000
) :@0.434804:0.703492:0.443639:0.703492:0.443639:0.687779:0.434804:0.687779:0.000000:0.000000
Ó:@0.443542:0.703201:0.458178:0.703201:0.458178:0.689791:0.443542:0.689791:0.000000
 :@0.458090:0.703352:0.462692:0.703352:0.462692:0.689304:0.458090:0.689304:0.000000
G f:@0.462600:0.703491:0.482922:0.703491:0.482922:0.688055:0.462600:0.688055:0.000000:0.000000:0.000000
( )  :@0.473424:0.703491:0.495641:0.703491:0.495641:0.687778:0.473424:0.687778:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.514627:0.703491:0.518659:0.703491:0.518659:0.687778:0.514627:0.687778:0.000000
y :@0.518577:0.703491:0.529290:0.703491:0.529290:0.688055:0.518577:0.688055:0.000000:0.000000
Þ:@0.529234:0.702936:0.544568:0.702936:0.544568:0.689220:0.529234:0.689220:0.000000
  ( ).:@0.544476:0.703491:0.574719:0.703491:0.574719:0.687778:0.544476:0.687778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.548433:0.703491:0.566785:0.703491:0.566785:0.688055:0.548433:0.688055:0.000000:0.000000:0.000000
2.1 Monotonía de las funciones reales:@0.293658:0.727275:0.589088:0.727275:0.589088:0.710328:0.293658:0.710328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.293658:0.751059:0.371626:0.751059:0.371626:0.734389:0.293658:0.734389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.293658:0.774843:0.333171:0.774843:0.333171:0.759130:0.293658:0.759130:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.333068:0.774843:0.358213:0.774843:0.358213:0.759407:0.333068:0.759407:0.000000:0.000000:0.000000:0.000000
 dos subconjuntos no vacíos de   y   una función de   en  ,     ::@0.358176:0.774843:0.834114:0.774843:0.834114:0.759130:0.358176:0.759130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.591009:0.773983:0.604299:0.773983:0.604299:0.761085:0.591009:0.761085:0.000000
f:@0.620130:0.774843:0.624823:0.774843:0.624823:0.759407:0.620130:0.759407:0.000000
A:@0.742703:0.774843:0.752588:0.774843:0.752588:0.759407:0.742703:0.759407:0.000000
B  I:@0.779039:0.774843:0.797999:0.774843:0.797999:0.759407:0.779039:0.759407:0.000000:0.000000:0.000000:0.000000
,:@0.801901:0.774704:0.817234:0.774704:0.817234:0.760655:0.801901:0.760655:0.000000
A:@0.821100:0.774843:0.830985:0.774843:0.830985:0.759407:0.821100:0.759407:0.000000
Se dice que   es creciente sobre   si y solo si se verifica la condición siguiente: :@0.293658:0.798626:0.931004:0.798626:0.931004:0.782914:0.293658:0.782914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.395561:0.798626:0.400255:0.798626:0.400255:0.783191:0.395561:0.783191:0.000000
I:@0.559680:0.798626:0.563509:0.798626:0.563509:0.783191:0.559680:0.783191:0.000000
 :@0.926923:0.798626:0.930954:0.798626:0.930954:0.782914:0.926923:0.782914:0.000000
;:@0.293677:0.815476:0.305954:0.815476:0.305954:0.801761:0.293677:0.801761:0.000000
x , x:@0.305862:0.816031:0.332377:0.816046:0.332377:0.800611:0.305862:0.800596:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.313234:0.819218:0.318471:0.819218:0.318471:0.810058:0.313234:0.810058:0.000000
2:@0.332325:0.819218:0.337562:0.819218:0.337562:0.810058:0.332325:0.810058:0.000000
 :@0.337519:0.819218:0.339451:0.819218:0.339451:0.810220:0.337519:0.810220:0.000000
[:@0.339407:0.815908:0.354740:0.815908:0.354740:0.801859:0.339407:0.801859:0.000000
I, x:@0.354648:0.816046:0.372356:0.816046:0.372356:0.800611:0.354648:0.800611:0.000000:0.000000:0.000000:0.000000
1:@0.372313:0.819218:0.377550:0.819218:0.377550:0.810058:0.372313:0.810058:0.000000
 :@0.377507:0.819218:0.379438:0.819218:0.379438:0.810220:0.377507:0.810220:0.000000
,:@0.379396:0.815491:0.394729:0.815491:0.394729:0.801776:0.379396:0.801776:0.000000
 :@0.394637:0.819218:0.396569:0.819218:0.396569:0.810220:0.394637:0.810220:0.000000
x:@0.396530:0.816046:0.403985:0.816046:0.403985:0.800611:0.396530:0.800611:0.000000
2:@0.403918:0.819218:0.409155:0.819218:0.409155:0.810058:0.403918:0.810058:0.000000
  :@0.409112:0.819218:0.412932:0.819218:0.412932:0.810220:0.409112:0.810220:0.000000:0.000000
⇒ :@0.412894:0.815630:0.435572:0.815630:0.435572:0.798642:0.412894:0.798642:0.000000:0.000000
f:@0.435476:0.816204:0.440384:0.816204:0.440384:0.800067:0.435476:0.800067:0.000000
( )    ( ).:@0.441076:0.816204:0.521001:0.816204:0.521001:0.799777:0.441076:0.799777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.446870:0.816046:0.454325:0.816046:0.454325:0.800611:0.446870:0.800611:0.000000
1:@0.454258:0.819218:0.459495:0.819218:0.459495:0.810058:0.454258:0.810058:0.000000
#:@0.468588:0.815624:0.484619:0.815624:0.484619:0.801285:0.468588:0.801285:0.000000
f:@0.488660:0.816204:0.493567:0.816204:0.493567:0.800067:0.488660:0.800067:0.000000
x:@0.500051:0.816046:0.507506:0.816046:0.507506:0.800611:0.500051:0.800611:0.000000
2:@0.507440:0.819218:0.512677:0.819218:0.512677:0.810058:0.507440:0.810058:0.000000
Se dice que   es estrictamente creciente sobre   si y solo si se verifica: :@0.293660:0.839836:0.930973:0.839836:0.930973:0.824124:0.293660:0.824124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.408540:0.839836:0.413234:0.839836:0.413234:0.824401:0.408540:0.824401:0.000000
I:@0.715518:0.839836:0.719346:0.839836:0.719346:0.824401:0.715518:0.824401:0.000000
 :@0.926906:0.839836:0.930938:0.839836:0.930938:0.824124:0.926906:0.824124:0.000000
;:@0.293660:0.856686:0.305938:0.856686:0.305938:0.842971:0.293660:0.842971:0.000000
x , x:@0.305846:0.857241:0.332377:0.857235:0.332377:0.841799:0.305846:0.841806:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.313234:0.860407:0.318471:0.860407:0.318471:0.851247:0.313234:0.851247:0.000000
2:@0.332325:0.860407:0.337562:0.860407:0.337562:0.851247:0.332325:0.851247:0.000000
 :@0.337519:0.860407:0.339451:0.860407:0.339451:0.851408:0.337519:0.851408:0.000000
[:@0.339409:0.857096:0.354742:0.857096:0.354742:0.843048:0.339409:0.843048:0.000000
I, x:@0.354650:0.857235:0.372358:0.857235:0.372358:0.841799:0.354650:0.841799:0.000000:0.000000:0.000000:0.000000
1:@0.372313:0.860407:0.377550:0.860407:0.377550:0.851247:0.372313:0.851247:0.000000
 :@0.377507:0.860407:0.379438:0.860407:0.379438:0.851408:0.377507:0.851408:0.000000
,:@0.379396:0.856680:0.394729:0.856680:0.394729:0.842964:0.379396:0.842964:0.000000
 :@0.394637:0.860407:0.396569:0.860407:0.396569:0.851408:0.394637:0.851408:0.000000
x:@0.396530:0.857235:0.403985:0.857235:0.403985:0.841799:0.396530:0.841799:0.000000
2:@0.403920:0.860407:0.409156:0.860407:0.409156:0.851247:0.403920:0.851247:0.000000
  :@0.409114:0.860407:0.412934:0.860407:0.412934:0.851408:0.409114:0.851408:0.000000:0.000000
⇒ :@0.412894:0.856819:0.435572:0.856819:0.435572:0.839830:0.412894:0.839830:0.000000:0.000000
f:@0.435476:0.857392:0.440384:0.857392:0.440384:0.841255:0.435476:0.841255:0.000000
( )    ( ).:@0.441076:0.857392:0.521001:0.857392:0.521001:0.840965:0.441076:0.840965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.446870:0.857235:0.454325:0.857235:0.454325:0.841799:0.446870:0.841799:0.000000
1:@0.454258:0.860407:0.459495:0.860407:0.459495:0.851247:0.454258:0.851247:0.000000
,:@0.468590:0.856812:0.484620:0.856812:0.484620:0.842473:0.468590:0.842473:0.000000
f:@0.488662:0.857392:0.493569:0.857392:0.493569:0.841255:0.488662:0.841255:0.000000
x:@0.500051:0.857235:0.507506:0.857235:0.507506:0.841799:0.500051:0.841799:0.000000
2:@0.507440:0.860407:0.512677:0.860407:0.512677:0.851247:0.507440:0.851247:0.000000
Se dice que   es decreciente sobre   si y solo si se satisface la condición:  :@0.293660:0.881024:0.930938:0.881024:0.930938:0.865311:0.293660:0.865311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.404232:0.881024:0.408926:0.881024:0.408926:0.865588:0.404232:0.865588:0.000000
I:@0.601871:0.881024:0.605700:0.881024:0.605700:0.865588:0.601871:0.865588:0.000000
;:@0.293660:0.897874:0.305938:0.897874:0.305938:0.884158:0.293660:0.884158:0.000000
x , x:@0.305846:0.898428:0.332377:0.898422:0.332377:0.882987:0.305846:0.882993:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.313234:0.901594:0.318471:0.901594:0.318471:0.892434:0.313234:0.892434:0.000000
2:@0.332325:0.901594:0.337562:0.901594:0.337562:0.892434:0.332325:0.892434:0.000000
 :@0.337519:0.901594:0.339451:0.901594:0.339451:0.892596:0.337519:0.892596:0.000000
[:@0.339409:0.898283:0.354742:0.898283:0.354742:0.884235:0.339409:0.884235:0.000000
I, x:@0.354650:0.898422:0.372358:0.898422:0.372358:0.882987:0.354650:0.882987:0.000000:0.000000:0.000000:0.000000
1:@0.372313:0.901594:0.377550:0.901594:0.377550:0.892434:0.372313:0.892434:0.000000
 :@0.377507:0.901594:0.379438:0.901594:0.379438:0.892596:0.377507:0.892596:0.000000
,:@0.379396:0.897867:0.394729:0.897867:0.394729:0.884152:0.379396:0.884152:0.000000
 :@0.394637:0.901594:0.396569:0.901594:0.396569:0.892596:0.394637:0.892596:0.000000
x:@0.396530:0.898422:0.403985:0.898422:0.403985:0.882987:0.396530:0.882987:0.000000
2:@0.403920:0.901594:0.409156:0.901594:0.409156:0.892434:0.403920:0.892434:0.000000
  :@0.409114:0.901594:0.412934:0.901594:0.412934:0.892596:0.409114:0.892596:0.000000:0.000000
⇒ :@0.412894:0.898006:0.435572:0.898006:0.435572:0.881017:0.412894:0.881017:0.000000:0.000000
f:@0.435476:0.898580:0.440384:0.898580:0.440384:0.882443:0.435476:0.882443:0.000000
( )    ( ).:@0.441076:0.898580:0.521001:0.898580:0.521001:0.882153:0.441076:0.882153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.446870:0.898422:0.454325:0.898422:0.454325:0.882987:0.446870:0.882987:0.000000
1:@0.454258:0.901594:0.459495:0.901594:0.459495:0.892434:0.454258:0.892434:0.000000
$:@0.468590:0.898000:0.484620:0.898000:0.484620:0.883661:0.468590:0.883661:0.000000
f:@0.488662:0.898580:0.493569:0.898580:0.493569:0.882443:0.488662:0.882443:0.000000
x:@0.500051:0.898422:0.507506:0.898422:0.507506:0.882987:0.500051:0.882987:0.000000
2:@0.507440:0.901594:0.512677:0.901594:0.512677:0.892434:0.507440:0.892434:0.000000
Se dice que   es estrictamente decreciente sobre   si y solo si verifica la condición :@0.293660:0.922211:0.930870:0.922211:0.930870:0.906499:0.293660:0.906499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.390758:0.922211:0.395452:0.922211:0.395452:0.906776:0.390758:0.906776:0.000000
I:@0.677764:0.922211:0.681593:0.922211:0.681593:0.906776:0.677764:0.906776:0.000000
siguiente: :@0.293660:0.939616:0.367797:0.939616:0.367797:0.923903:0.293660:0.923903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.367654:0.939055:0.379932:0.939055:0.379932:0.925339:0.367654:0.925339:0.000000
x , x:@0.379840:0.939610:0.406371:0.939610:0.406371:0.924174:0.379840:0.924174:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.387228:0.942782:0.392464:0.942782:0.392464:0.933622:0.387228:0.933622:0.000000
2:@0.406319:0.942782:0.411556:0.942782:0.411556:0.933622:0.406319:0.933622:0.000000
 :@0.411513:0.942782:0.413445:0.942782:0.413445:0.933783:0.411513:0.933783:0.000000
[:@0.413403:0.939471:0.428736:0.939471:0.428736:0.925423:0.413403:0.925423:0.000000
I, x:@0.428644:0.939610:0.446352:0.939610:0.446352:0.924174:0.428644:0.924174:0.000000:0.000000:0.000000:0.000000
1:@0.446306:0.942782:0.451543:0.942782:0.451543:0.933622:0.446306:0.933622:0.000000
 :@0.451500:0.942782:0.453432:0.942782:0.453432:0.933783:0.451500:0.933783:0.000000
,:@0.453390:0.939055:0.468723:0.939055:0.468723:0.925339:0.453390:0.925339:0.000000
 :@0.468631:0.942782:0.470563:0.942782:0.470563:0.933783:0.468631:0.933783:0.000000
x:@0.470524:0.939610:0.477979:0.939610:0.477979:0.924174:0.470524:0.924174:0.000000
2:@0.477913:0.942782:0.483150:0.942782:0.483150:0.933622:0.477913:0.933622:0.000000
  :@0.483107:0.942782:0.486928:0.942782:0.486928:0.933783:0.483107:0.933783:0.000000:0.000000
⇒ :@0.486889:0.939194:0.509567:0.939194:0.509567:0.922205:0.486889:0.922205:0.000000:0.000000
f:@0.509470:0.939767:0.514377:0.939767:0.514377:0.923630:0.509470:0.923630:0.000000
( )    ( ).:@0.515070:0.939767:0.594994:0.939767:0.594994:0.923340:0.515070:0.923340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.520864:0.939610:0.528319:0.939610:0.528319:0.924174:0.520864:0.924174:0.000000
1:@0.528252:0.942782:0.533489:0.942782:0.533489:0.933622:0.528252:0.933622:0.000000
.:@0.542584:0.939187:0.558614:0.939187:0.558614:0.924848:0.542584:0.924848:0.000000
f:@0.562655:0.939767:0.567563:0.939767:0.567563:0.923630:0.562655:0.923630:0.000000
x:@0.574044:0.939610:0.581499:0.939610:0.581499:0.924174:0.574044:0.924174:0.000000
2:@0.581434:0.942782:0.586671:0.942782:0.586671:0.933622:0.581434:0.933622:0.000000
Tema 2. Funciones reales :@0.073089:0.098522:0.447556:0.098522:0.447556:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué relación tienen las funciones reales con el cálculo de la teoría lineal de las olas?:@0.293660:0.167374:0.892260:0.167374:0.892260:0.151661:0.293660:0.151661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.082576:0.339875:0.118771:0.339875:0.118771:0.325591:0.082576:0.325591:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.118770:0.339875:0.141830:0.339875:0.141830:0.325843:0.118770:0.325843:0.000000:0.000000:0.000000:0.000000
 dos conjuntos :@0.141830:0.339875:0.244055:0.339875:0.244055:0.325591:0.141830:0.325591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no vacíos cualesquiera, :@0.082575:0.355004:0.239572:0.355004:0.239572:0.340720:0.082575:0.340720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una función o aplicación :@0.082575:0.370133:0.250432:0.370133:0.250432:0.355849:0.082575:0.355849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.082575:0.385262:0.086842:0.385262:0.086842:0.371230:0.082575:0.371230:0.000000
 de   en   es una regla :@0.086842:0.385262:0.240407:0.385262:0.240407:0.370978:0.086842:0.370978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.111391:0.385262:0.120377:0.385262:0.120377:0.371230:0.111391:0.371230:0.000000
B:@0.144791:0.385262:0.152824:0.385262:0.152824:0.371230:0.144791:0.371230:0.000000
de correspondencia, de :@0.082575:0.400391:0.243304:0.400391:0.243304:0.386107:0.082575:0.386107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asociaciones o procedi-:@0.082575:0.415520:0.239353:0.415520:0.239353:0.401236:0.082575:0.401236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
miento que asigna a cada :@0.082575:0.430649:0.257459:0.430649:0.257459:0.416365:0.082575:0.416365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elemento :@0.082575:0.445778:0.150781:0.445778:0.150781:0.431494:0.082575:0.431494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.150781:0.445778:0.160402:0.445778:0.160402:0.431746:0.150781:0.431746:0.000000:0.000000
[ :@0.160236:0.445652:0.178191:0.445652:0.178191:0.432881:0.160236:0.432881:0.000000:0.000000
A:@0.178024:0.445778:0.187010:0.445778:0.187010:0.431746:0.178024:0.431746:0.000000
 un único :@0.186843:0.445778:0.252071:0.445778:0.252071:0.431494:0.186843:0.431494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elemento :@0.082574:0.460907:0.149443:0.460907:0.149443:0.446623:0.082574:0.446623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.149275:0.460907:0.158914:0.460907:0.158914:0.446875:0.149275:0.446875:0.000000:0.000000
[ :@0.158747:0.460781:0.176702:0.460781:0.176702:0.448010:0.158747:0.448010:0.000000:0.000000
B:@0.176535:0.460907:0.184567:0.460907:0.184567:0.446875:0.176535:0.446875:0.000000
.:@0.184400:0.460907:0.187311:0.460907:0.187311:0.446623:0.184400:0.446623:0.000000
El conjunto   se llama :@0.082574:0.483184:0.232324:0.483184:0.232324:0.468900:0.082574:0.468900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.161991:0.483184:0.170977:0.483184:0.170977:0.469152:0.161991:0.469152:0.000000
conjunto de salida de   :@0.082574:0.498313:0.237931:0.498313:0.237931:0.484029:0.082574:0.484029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.229999:0.498313:0.234267:0.498313:0.234267:0.484281:0.229999:0.484281:0.000000
o dominio de  , que se :@0.082574:0.513442:0.234869:0.513442:0.234869:0.499158:0.082574:0.499158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.176267:0.513442:0.180534:0.513442:0.180534:0.499410:0.176267:0.499410:0.000000
nota también Dom( ); :@0.082574:0.528571:0.230081:0.528571:0.230081:0.514287:0.082574:0.514287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.214803:0.528571:0.219071:0.528571:0.219071:0.514539:0.214803:0.514539:0.000000
el conjunto B se llama :@0.082574:0.543700:0.232106:0.543700:0.232106:0.529416:0.082574:0.529416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto de llegada de  . :@0.082574:0.558829:0.251871:0.558829:0.251871:0.544545:0.082574:0.544545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.241027:0.558829:0.245294:0.558829:0.245294:0.544797:0.241027:0.544797:0.000000
Al elemento   de   se lo :@0.082574:0.573958:0.244958:0.573958:0.244958:0.559674:0.082574:0.559674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.167781:0.573958:0.174575:0.573958:0.174575:0.559926:0.167781:0.559926:0.000000
B:@0.199124:0.573958:0.207156:0.573958:0.207156:0.559926:0.199124:0.559926:0.000000
llama imagen de   por  , y :@0.082574:0.589087:0.256824:0.589087:0.256824:0.574803:0.082574:0.574803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.197770:0.589087:0.204547:0.589087:0.204547:0.575055:0.197770:0.575055:0.000000
f:@0.234953:0.589087:0.239220:0.589087:0.239220:0.575055:0.234953:0.575055:0.000000
lo escribimos      (x).:@0.082574:0.604216:0.225597:0.604216:0.225597:0.589932:0.082574:0.589932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.174307:0.604216:0.181101:0.604216:0.181101:0.590184:0.174307:0.590184:0.000000
5:@0.184766:0.603712:0.198705:0.603712:0.198705:0.591243:0.184766:0.591243:0.000000
f:@0.202370:0.604216:0.206637:0.604216:0.206637:0.590184:0.202370:0.590184:0.000000
Para indicar que   es :@0.082574:0.626493:0.218687:0.626493:0.218687:0.612209:0.082574:0.612209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.192733:0.626493:0.197000:0.626493:0.197000:0.612461:0.192733:0.612461:0.000000
una función de   en  , :@0.082574:0.641622:0.235321:0.641622:0.235321:0.627338:0.082574:0.627338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.187311:0.641622:0.196297:0.641622:0.196297:0.627590:0.187311:0.627590:0.000000
B:@0.220712:0.641622:0.228744:0.641622:0.228744:0.627590:0.220712:0.627590:0.000000
utilizamos la notación :@0.082574:0.656751:0.231974:0.656751:0.231974:0.642467:0.082574:0.642467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente::@0.082574:0.671880:0.146981:0.671880:0.146981:0.657596:0.082574:0.657596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f :@0.082576:0.699824:0.090219:0.699824:0.090219:0.685091:0.082576:0.685091:0.000000:0.000000
::@0.090219:0.699824:0.093276:0.699824:0.093276:0.684826:0.090219:0.684826:0.000000
A :@0.103566:0.693354:0.116164:0.693354:0.116164:0.678621:0.103566:0.678621:0.000000:0.000000
→ :@0.116164:0.694003:0.137899:0.694003:0.137899:0.679097:0.116164:0.679097:0.000000:0.000000
A :@0.137898:0.693354:0.150496:0.693354:0.150496:0.678621:0.137898:0.678621:0.000000:0.000000
x :@0.103512:0.706526:0.113791:0.706526:0.113791:0.691792:0.103512:0.691792:0.000000:0.000000
→ :@0.113791:0.707175:0.135526:0.707175:0.135526:0.692269:0.113791:0.692269:0.000000:0.000000
y f   x:@0.135526:0.706526:0.167645:0.706526:0.167645:0.691792:0.135526:0.691792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 2:@0.153465:0.707082:0.171546:0.707082:0.171546:0.690230:0.153465:0.690230:0.000000:0.000000:0.000000
5:@0.095047:0.706676:0.098948:0.706676:0.098948:0.677741:0.095047:0.677741:0.000000
.:@0.171535:0.707388:0.174446:0.707388:0.174446:0.693103:0.171535:0.693103:0.000000
En lo sucesivo, por sim-:@0.082576:0.729664:0.237362:0.729664:0.237362:0.715380:0.082576:0.715380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plicidad, diremos que “la :@0.082576:0.744793:0.248106:0.744793:0.248106:0.730508:0.082576:0.730508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función   de   en   está :@0.082576:0.759922:0.242016:0.759922:0.242016:0.745637:0.082576:0.745637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.137312:0.759922:0.141579:0.759922:0.141579:0.745890:0.137312:0.745890:0.000000
A:@0.166128:0.759922:0.175114:0.759922:0.175114:0.745890:0.166128:0.745890:0.000000
B:@0.199529:0.759922:0.207561:0.759922:0.207561:0.745890:0.199529:0.745890:0.000000
definida como  :@0.082576:0.775051:0.187029:0.775051:0.187029:0.760766:0.082576:0.760766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.082576:0.790180:0.089370:0.790180:0.089370:0.776147:0.082576:0.776147:0.000000
    ( ),      , en la que :@0.089370:0.790180:0.246031:0.790180:0.246031:0.775895:0.089370:0.775895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.093034:0.789675:0.106974:0.789675:0.106974:0.777206:0.093034:0.777206:0.000000
f x x:@0.110638:0.790180:0.143905:0.790180:0.143905:0.776147:0.110638:0.776147:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.147568:0.790053:0.161508:0.790053:0.161508:0.777282:0.147568:0.777282:0.000000
A:@0.165172:0.790180:0.174159:0.790180:0.174159:0.776147:0.165172:0.776147:0.000000
f x:@0.082574:0.805308:0.098053:0.805308:0.098053:0.791276:0.082574:0.791276:0.000000:0.000000:0.000000
( ) denota la regla de :@0.086841:0.805308:0.230148:0.805308:0.230148:0.791024:0.086841:0.791024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
correspondencia, de asig-:@0.082574:0.820437:0.253845:0.820437:0.253845:0.806153:0.082574:0.806153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nación o de asociación :@0.082574:0.835566:0.238885:0.835566:0.238885:0.821282:0.082574:0.821282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre el elemento       y :@0.082574:0.850695:0.255617:0.850695:0.255617:0.836411:0.082574:0.836411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.204895:0.850695:0.211673:0.850695:0.211673:0.836663:0.204895:0.836663:0.000000
[:@0.215004:0.850569:0.228944:0.850569:0.228944:0.837798:0.215004:0.837798:0.000000
A:@0.232274:0.850695:0.241260:0.850695:0.241260:0.836663:0.232274:0.836663:0.000000
el elemento      ( )    .:@0.082572:0.865824:0.242280:0.865824:0.242280:0.851540:0.082572:0.851540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.164098:0.865824:0.170892:0.865824:0.170892:0.851792:0.164098:0.851792:0.000000
5:@0.174224:0.865320:0.188163:0.865320:0.188163:0.852851:0.174224:0.852851:0.000000
f x:@0.191493:0.865824:0.206637:0.865824:0.206637:0.851792:0.191493:0.851792:0.000000:0.000000:0.000000
[:@0.214234:0.865698:0.228174:0.865698:0.228174:0.852927:0.214234:0.852927:0.000000
B:@0.231504:0.865824:0.239536:0.865824:0.239536:0.851792:0.231504:0.851792:0.000000
El conjunto  ( ):@0.082572:0.888102:0.185618:0.888102:0.185618:0.873817:0.082572:0.873817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.161990:0.888631:0.165705:0.888631:0.165705:0.872582:0.161990:0.872582:0.000000
f x x   A:@0.165705:0.888102:0.230180:0.888102:0.230180:0.874069:0.165705:0.874069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
| :@0.185618:0.887597:0.194453:0.887597:0.194453:0.875129:0.185618:0.875129:0.000000:0.000000
[:@0.204243:0.887975:0.218182:0.887975:0.218182:0.875204:0.204243:0.875204:0.000000
6:@0.230180:0.888631:0.233895:0.888631:0.233895:0.872582:0.230180:0.872582:0.000000
 se :@0.233895:0.888102:0.255582:0.888102:0.255582:0.873817:0.233895:0.873817:0.000000:0.000000:0.000000:0.000000
llama recorrido de   y se :@0.082572:0.903231:0.244605:0.903231:0.244605:0.888946:0.082572:0.888946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.207623:0.903231:0.211890:0.903231:0.211890:0.889198:0.207623:0.889198:0.000000
nota con Rec( ). Esto es, :@0.082572:0.918359:0.242127:0.918359:0.242127:0.904075:0.082572:0.904075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.174423:0.918359:0.178690:0.918359:0.178690:0.904327:0.174423:0.904327:0.000000
Rec( )    ( ):@0.082572:0.933488:0.164719:0.933488:0.164719:0.919204:0.082572:0.919204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.111120:0.933488:0.115388:0.933488:0.115388:0.919456:0.111120:0.919456:0.000000
5:@0.123487:0.932984:0.137426:0.932984:0.137426:0.920515:0.123487:0.920515:0.000000
5:@0.141091:0.934018:0.144806:0.934018:0.144806:0.917969:0.141091:0.917969:0.000000
f x x   A:@0.144806:0.933488:0.209281:0.933488:0.209281:0.919456:0.144806:0.919456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
| :@0.164719:0.932984:0.173554:0.932984:0.173554:0.920515:0.164719:0.920515:0.000000:0.000000
[:@0.183344:0.933362:0.197283:0.933362:0.197283:0.920591:0.183344:0.920591:0.000000
6:@0.209281:0.934018:0.212996:0.934018:0.212996:0.917969:0.209281:0.917969:0.000000
.:@0.212996:0.933488:0.215908:0.933488:0.215908:0.919204:0.212996:0.919204:0.000000
Competencia :@0.078581:0.296593:0.187141:0.296593:0.187141:0.279646:0.078581:0.279646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.313235:0.176057:0.313235:0.176057:0.296288:0.078581:0.296288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 2.1:@0.875585:0.727372:0.926911:0.727372:0.926911:0.715944:0.875585:0.715944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.710049:0.707782:0.717807:0.707782:0.717807:0.694212:0.710049:0.694212:0.000000
1:@0.768137:0.707782:0.775895:0.707782:0.775895:0.694212:0.768137:0.694212:0.000000
f:@0.775259:0.685289:0.779313:0.685289:0.779313:0.671959:0.775259:0.671959:0.000000
(1):@0.779313:0.685289:0.795496:0.685289:0.795496:0.671719:0.779313:0.671719:0.000000:0.000000:0.000000
f:@0.873059:0.661395:0.877112:0.661395:0.877112:0.648065:0.873059:0.648065:0.000000
(3):@0.877112:0.661395:0.893296:0.661395:0.893296:0.647825:0.877112:0.647825:0.000000:0.000000:0.000000
2:@0.800838:0.707794:0.808596:0.707794:0.808596:0.694224:0.800838:0.694224:0.000000
x:@0.864538:0.707794:0.870976:0.707794:0.870976:0.694464:0.864538:0.694464:0.000000
(:@0.871946:0.603522:0.876159:0.603522:0.876159:0.589952:0.871946:0.589952:0.000000
x, f x:@0.876159:0.603522:0.903041:0.603522:0.903041:0.590191:0.876159:0.590191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )):@0.892390:0.603522:0.911466:0.603522:0.911466:0.589952:0.892390:0.589952:0.000000:0.000000:0.000000:0.000000
x:@0.905600:0.707794:0.912420:0.707794:0.912420:0.694224:0.905600:0.694224:0.000000
y:@0.708030:0.579041:0.715025:0.579041:0.715025:0.565471:0.708030:0.565471:0.000000
f:@0.807737:0.665970:0.811791:0.665970:0.811791:0.652640:0.807737:0.652640:0.000000
(2):@0.811791:0.665970:0.827974:0.665970:0.827974:0.652400:0.811791:0.652400:0.000000:0.000000:0.000000
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