90:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000
Funciones reales:@0.404235:0.129448:0.603705:0.129448:0.603705:0.084789:0.404235:0.084789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.20. Graficar y analizar el dominio, el recorrido, la monotonía, ceros, extremos y paridad de las diferentes funciones reales (función afín a trozos, función potencia entera :@0.143128:0.947609:0.894190:0.947609:0.894190:0.937567:0.143128:0.937567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
negativa con = –1, n = –2, función raíz cuadrada, función valor absoluto de la función afín) utilizando TIC.:@0.143128:0.956411:0.601423:0.956411:0.601423:0.946368:0.143128:0.946368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199646:0.112146:0.307805:0.112146:0.307805:0.096673:0.199646:0.096673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿En qué casos una :@0.199884:0.140773:0.320849:0.140773:0.320849:0.125710:0.199884:0.125710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relación  , subconjunto del :@0.153341:0.156615:0.328483:0.156615:0.328483:0.141552:0.153341:0.141552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.208151:0.156721:0.212074:0.156721:0.212074:0.141684:0.208151:0.141684:0.000000
producto cartesiano   ×  , es :@0.153341:0.172457:0.348533:0.172457:0.348533:0.157394:0.153341:0.157394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.289222:0.172563:0.325334:0.172563:0.325334:0.157526:0.289222:0.157526:0.000000:0.000000:0.000000
una función?:@0.153341:0.188299:0.237138:0.188299:0.237138:0.173236:0.153341:0.173236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.240559:0.363493:0.240559:0.363493:0.225086:0.199646:0.225086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué relación tienen las :@0.199884:0.269186:0.357613:0.269186:0.357613:0.254123:0.199884:0.254123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones reales con el cálculo :@0.153341:0.285028:0.353107:0.285028:0.353107:0.269965:0.153341:0.269965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la teoría lineal de las olas?:@0.153341:0.300870:0.337436:0.300870:0.337436:0.285807:0.153341:0.285807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A continuación, tratamos las funciones reales que son funciones cu-:@0.404236:0.165812:0.891797:0.165812:0.891797:0.149315:0.404236:0.149315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
yos conjuntos de salida y de llegada son subconjuntos de  . Conside-:@0.404236:0.183163:0.891763:0.183163:0.891763:0.166665:0.404236:0.166665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.808184:0.182194:0.822094:0.182194:0.822094:0.168747:0.808184:0.168747:0.000000
raremos la monotonía de las funciones reales. Una forma importante :@0.404236:0.200514:0.895976:0.200514:0.895976:0.184016:0.404236:0.184016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de visualizar la función es utilizar su representación gráfica. De esta :@0.404236:0.217864:0.895841:0.217864:0.895841:0.201367:0.404236:0.201367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
manera, en ella podemos ver la forma que tiene en términos del cre-:@0.404236:0.235215:0.891811:0.235215:0.891811:0.218718:0.404236:0.218718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cimiento o decrecimiento en cada subconjunto del dominio, lo que a :@0.404236:0.252566:0.895924:0.252566:0.895924:0.236068:0.404236:0.236068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su vez nos permite emitir algunas conclusiones.:@0.404236:0.269917:0.739795:0.269917:0.739795:0.253419:0.404236:0.253419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.404236:0.294858:0.484320:0.294858:0.484320:0.277913:0.404236:0.277913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.404236:0.318875:0.442035:0.318875:0.442035:0.302377:0.404236:0.302377:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.441842:0.318990:0.469488:0.318990:0.469488:0.302522:0.441842:0.302522:0.000000:0.000000:0.000000:0.000000
 dos subconjuntos no vacíos de  . Toda función   de   en   :@0.469488:0.318875:0.895843:0.318875:0.895843:0.302377:0.469488:0.302377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.696409:0.317906:0.710319:0.317906:0.710319:0.304459:0.696409:0.304459:0.000000
f:@0.815738:0.318990:0.820034:0.318990:0.820034:0.302522:0.815738:0.302522:0.000000
A:@0.845792:0.318990:0.857062:0.318990:0.857062:0.302522:0.845792:0.302522:0.000000
B:@0.882512:0.318990:0.891701:0.318990:0.891701:0.302522:0.882512:0.302522:0.000000
se llama función real.:@0.404236:0.336226:0.551999:0.336226:0.551999:0.319728:0.404236:0.319728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El conjunto de salida o dominio de   es  ; el conjunto de llegada es  ; :@0.404236:0.360705:0.895876:0.360705:0.895876:0.344207:0.404236:0.344207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.655777:0.360820:0.660073:0.360820:0.660073:0.344351:0.655777:0.344351:0.000000
A:@0.682496:0.360820:0.693766:0.360820:0.693766:0.344351:0.682496:0.344351:0.000000
B:@0.879789:0.360820:0.888979:0.360820:0.888979:0.344351:0.879789:0.344351:0.000000
y el recorrido de   es el subconjunto de  , definido como::@0.404236:0.378055:0.807972:0.378055:0.807972:0.361558:0.404236:0.361558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.523679:0.378171:0.527975:0.378171:0.527975:0.361702:0.523679:0.361702:0.000000
B:@0.683444:0.378171:0.692633:0.378171:0.692633:0.361702:0.683444:0.361702:0.000000
{:@0.626644:0.405809:0.635892:0.405809:0.635892:0.385946:0.626644:0.385946:0.000000
}:@0.717153:0.405809:0.726400:0.405809:0.726400:0.385946:0.717153:0.385946:0.000000
=:@0.614132:0.403798:0.624709:0.403798:0.624709:0.387517:0.614132:0.387517:0.000000
∈:@0.688361:0.403798:0.702097:0.403798:0.702097:0.387517:0.688361:0.387517:0.000000
f:@0.598584:0.403277:0.602880:0.403277:0.602880:0.386809:0.598584:0.386809:0.000000
f xx:@0.639311:0.403277:0.684180:0.403277:0.684180:0.386809:0.639311:0.386809:0.000000:0.000000:0.000000:0.000000
A:@0.706431:0.403277:0.717701:0.403277:0.717701:0.386809:0.706431:0.386809:0.000000
Rec( ):@0.563521:0.403162:0.611261:0.403162:0.611261:0.386664:0.563521:0.386664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )|:@0.646458:0.403162:0.673719:0.403162:0.673719:0.386664:0.646458:0.386664:0.000000:0.000000:0.000000:0.000000
.:@0.727449:0.403162:0.730204:0.403162:0.730204:0.386664:0.727449:0.386664:0.000000
Tenemos :@0.404236:0.436442:0.471703:0.436442:0.471703:0.419944:0.404236:0.419944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.471819:0.436557:0.483455:0.436557:0.483455:0.420089:0.471819:0.420089:0.000000:0.000000
:@0.483572:0.435923:0.498225:0.435923:0.498225:0.422549:0.483572:0.422549:0.000000
 :@0.498226:0.436224:0.503042:0.436224:0.503042:0.421577:0.498226:0.421577:0.000000
Rec ( ) :@0.503408:0.436441:0.552708:0.436441:0.552708:0.419944:0.503408:0.419944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  f:@0.528684:0.436557:0.542998:0.436557:0.542998:0.420088:0.528684:0.420088:0.000000:0.000000:0.000000
     :@0.572005:0.436441:0.600671:0.436441:0.600671:0.419944:0.572005:0.419944:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.589247:0.436557:0.596722:0.436557:0.596722:0.420088:0.589247:0.420088:0.000000
:@0.600790:0.435923:0.615443:0.435923:0.615443:0.422549:0.600790:0.422549:0.000000
 :@0.615442:0.436224:0.620258:0.436224:0.620258:0.421577:0.615442:0.421577:0.000000
A,:@0.620624:0.436557:0.634938:0.436557:0.634938:0.420088:0.620624:0.420088:0.000000:0.000000
 tal que :@0.634746:0.436441:0.691251:0.436441:0.691251:0.419944:0.634746:0.419944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = f  x:@0.691366:0.436557:0.739664:0.436557:0.739664:0.420088:0.691366:0.420088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ). Cuando el conjunto :@0.726429:0.436441:0.895906:0.436441:0.895906:0.419944:0.726429:0.419944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de llegada es todo  , diremos simplemente :@0.404237:0.453792:0.705831:0.453792:0.705831:0.437294:0.404237:0.437294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.531769:0.452823:0.545679:0.452823:0.545679:0.439376:0.531769:0.439376:0.000000
función real:@0.705002:0.454255:0.794333:0.454255:0.794333:0.437309:0.705002:0.437309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 definida en  .:@0.794141:0.453792:0.891764:0.453792:0.891764:0.437294:0.794141:0.437294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.877923:0.453908:0.889194:0.453908:0.889194:0.437439:0.877923:0.437439:0.000000
Definición:@0.404237:0.478734:0.484321:0.478734:0.484321:0.461788:0.404237:0.461788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.404237:0.502750:0.442035:0.502750:0.442035:0.486252:0.404237:0.486252:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.442209:0.502866:0.470221:0.502866:0.470221:0.486397:0.442209:0.486397:0.000000:0.000000:0.000000:0.000000
 dos subconjuntos no vacíos de   y   una función real de   :@0.470221:0.502750:0.895809:0.502750:0.895809:0.486252:0.470221:0.486252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.699342:0.501781:0.713252:0.501781:0.713252:0.488334:0.699342:0.488334:0.000000
f:@0.729704:0.502866:0.734000:0.502866:0.734000:0.486397:0.729704:0.486397:0.000000
A:@0.880397:0.502866:0.891667:0.502866:0.891667:0.486397:0.880397:0.486397:0.000000
en  . El grafo de   se designa con  ( ) y se define como el conjunto::@0.404237:0.520101:0.877426:0.520101:0.877426:0.503603:0.404237:0.503603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.425930:0.520216:0.435119:0.520216:0.435119:0.503748:0.425930:0.503748:0.000000
f:@0.520368:0.520216:0.524664:0.520216:0.524664:0.503748:0.520368:0.503748:0.000000
G f:@0.636246:0.520216:0.657939:0.520216:0.657939:0.503748:0.636246:0.503748:0.000000:0.000000:0.000000
(:@0.612090:0.544170:0.618505:0.544170:0.618505:0.520074:0.612090:0.520074:0.000000
):@0.670887:0.544170:0.677303:0.544170:0.677303:0.520074:0.670887:0.520074:0.000000
{:@0.602982:0.544127:0.612229:0.544127:0.612229:0.520194:0.602982:0.520194:0.000000
}:@0.727416:0.544127:0.736663:0.544127:0.736663:0.520194:0.727416:0.520194:0.000000
():@0.647637:0.543007:0.670601:0.543007:0.670601:0.521516:0.647637:0.521516:0.000000:0.000000
=:@0.590469:0.539974:0.601046:0.539974:0.601046:0.523693:0.590469:0.523693:0.000000
∈:@0.698624:0.539974:0.712361:0.539974:0.712361:0.523693:0.698624:0.523693:0.000000
Gf:@0.554242:0.539453:0.579210:0.539453:0.579210:0.522984:0.554242:0.522984:0.000000:0.000000
xf x:@0.619937:0.539453:0.662956:0.539453:0.662956:0.522984:0.619937:0.522984:0.000000:0.000000:0.000000:0.000000
x:@0.686941:0.539453:0.694416:0.539453:0.694416:0.522984:0.686941:0.522984:0.000000
A:@0.716687:0.539453:0.727957:0.539453:0.727957:0.522984:0.716687:0.522984:0.000000
():@0.565801:0.539337:0.587571:0.539337:0.587571:0.522840:0.565801:0.522840:0.000000:0.000000
,:@0.629415:0.539337:0.632170:0.539337:0.632170:0.522840:0.629415:0.522840:0.000000
|:@0.678946:0.539337:0.683955:0.539337:0.683955:0.522840:0.678946:0.522840:0.000000
.:@0.737686:0.539337:0.740441:0.539337:0.740441:0.522840:0.737686:0.522840:0.000000
El grafo de   es un subconjunto no vacío de :@0.404235:0.563816:0.719087:0.563816:0.719087:0.547319:0.404235:0.547319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.484090:0.563932:0.488386:0.563932:0.488386:0.547463:0.484090:0.547463:0.000000
:@0.719588:0.564655:0.733498:0.564655:0.733498:0.547145:0.719588:0.547145:0.000000
2:@0.733473:0.557463:0.738426:0.557463:0.738426:0.547845:0.733473:0.547845:0.000000
,  ( ) :@0.738426:0.563816:0.777612:0.563816:0.777612:0.547318:0.738426:0.547318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G f:@0.745824:0.563932:0.767517:0.563932:0.767517:0.547463:0.745824:0.547463:0.000000:0.000000:0.000000
 :@0.778113:0.563599:0.798977:0.563599:0.798977:0.548952:0.778113:0.548952:0.000000:0.000000
:@0.799555:0.564655:0.813465:0.564655:0.813465:0.547145:0.799555:0.547145:0.000000
2:@0.813460:0.557463:0.818414:0.557463:0.818414:0.547845:0.813460:0.547845:0.000000
. Este con-:@0.818414:0.563816:0.891776:0.563816:0.891776:0.547318:0.818414:0.547318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
junto puede ser graficado en el sistema de coordenadas rectangulares. :@0.404250:0.581167:0.895908:0.581167:0.895908:0.564669:0.404250:0.564669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A la gráfica resultante la denominamos representación gráfica de  .  :@0.404250:0.598517:0.895918:0.598517:0.895918:0.582020:0.404250:0.582020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.884663:0.598633:0.888960:0.598633:0.888960:0.582164:0.884663:0.582164:0.000000
De la definición del conjunto  ( ), se tiene las siguientes equivalencias::@0.404250:0.615868:0.891832:0.615868:0.891832:0.599370:0.404250:0.599370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G f:@0.610735:0.615984:0.632427:0.615984:0.632427:0.599515:0.610735:0.599515:0.000000:0.000000:0.000000
(:@0.562128:0.640347:0.568081:0.640347:0.568081:0.623849:0.562128:0.623849:0.000000
x, y:@0.568081:0.640463:0.590352:0.640463:0.590352:0.623994:0.568081:0.623994:0.000000:0.000000:0.000000:0.000000
) :@0.590352:0.640347:0.600447:0.640347:0.600447:0.623849:0.590352:0.623849:0.000000:0.000000
:@0.600424:0.639828:0.615076:0.639828:0.615076:0.626455:0.600424:0.626455:0.000000
 :@0.615077:0.640130:0.619893:0.640130:0.619893:0.625483:0.615077:0.625483:0.000000
G f:@0.619893:0.640462:0.641586:0.640462:0.641586:0.623993:0.619893:0.623993:0.000000:0.000000:0.000000
( )      =  ( ),:@0.631337:0.640347:0.733901:0.640347:0.733901:0.623849:0.631337:0.623849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y f x:@0.679149:0.640462:0.725193:0.640462:0.725193:0.623993:0.679149:0.623993:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.559492:0.664826:0.565445:0.664826:0.565445:0.648328:0.559492:0.648328:0.000000
x, y:@0.565445:0.664941:0.587716:0.664941:0.587716:0.648472:0.565445:0.648472:0.000000:0.000000:0.000000:0.000000
) :@0.587716:0.664826:0.597811:0.664826:0.597811:0.648328:0.587716:0.648328:0.000000:0.000000
:@0.597803:0.664306:0.612456:0.664306:0.612456:0.650933:0.597803:0.650933:0.000000
 :@0.612457:0.664608:0.617273:0.664608:0.617273:0.649961:0.612457:0.649961:0.000000
G f:@0.617273:0.664941:0.638966:0.664941:0.638966:0.648472:0.617273:0.648472:0.000000:0.000000:0.000000
( )    :@0.628717:0.664825:0.676529:0.664825:0.676529:0.648327:0.628717:0.648327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.676529:0.664941:0.688358:0.664941:0.688358:0.648472:0.676529:0.648472:0.000000:0.000000
:@0.688358:0.664174:0.704406:0.664174:0.704406:0.649874:0.688358:0.649874:0.000000
  ( ).:@0.704406:0.664825:0.736521:0.664825:0.736521:0.648327:0.704406:0.648327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.708548:0.664941:0.727813:0.664941:0.727813:0.648472:0.708548:0.648472:0.000000:0.000000:0.000000
Monotonía de las funciones reales:@0.404236:0.690702:0.676745:0.690702:0.676745:0.673019:0.404236:0.673019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.404236:0.715000:0.484320:0.715000:0.484320:0.698054:0.404236:0.698054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.404236:0.739016:0.442035:0.739016:0.442035:0.722519:0.404236:0.722519:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.442709:0.739132:0.471221:0.739132:0.471221:0.722663:0.442709:0.722663:0.000000:0.000000:0.000000:0.000000
 dos subconjuntos no vacíos de   y   una función de   en :@0.471221:0.739016:0.895837:0.739016:0.895837:0.722519:0.471221:0.722519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.703343:0.739855:0.717252:0.739855:0.717252:0.722345:0.703343:0.722345:0.000000
f:@0.734707:0.739132:0.739003:0.739132:0.739003:0.722663:0.734707:0.722663:0.000000
A:@0.858058:0.739132:0.869328:0.739132:0.869328:0.722663:0.858058:0.722663:0.000000
B I:@0.404236:0.756483:0.424330:0.756483:0.424330:0.740014:0.404236:0.740014:0.000000:0.000000:0.000000
,     ::@0.413426:0.756367:0.462687:0.756367:0.462687:0.739869:0.413426:0.739869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.428472:0.756150:0.444520:0.756150:0.444520:0.741503:0.428472:0.741503:0.000000
A:@0.448662:0.756483:0.459932:0.756483:0.459932:0.740014:0.448662:0.740014:0.000000
i):@0.404236:0.781063:0.414774:0.781063:0.414774:0.764348:0.404236:0.764348:0.000000:0.000000
  Se dice que   es creciente sobre   si y solo si verifica la condición :@0.414774:0.780846:0.895839:0.780846:0.895839:0.764348:0.414774:0.764348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.516399:0.780962:0.520695:0.780962:0.520695:0.764493:0.516399:0.764493:0.000000
I:@0.659902:0.780962:0.663909:0.780962:0.663909:0.764493:0.659902:0.764493:0.000000
siguiente: :@0.427971:0.798197:0.497885:0.798197:0.497885:0.781699:0.427971:0.781699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.510987:0.799806:0.540765:0.799806:0.540765:0.783131:0.510987:0.783131:0.000000:0.000000:0.000000
1:@0.518781:0.801936:0.523760:0.801936:0.523760:0.792267:0.518781:0.792267:0.000000
,:@0.525725:0.799689:0.528514:0.799689:0.528514:0.782984:0.525725:0.782984:0.000000
2:@0.541468:0.801936:0.546448:0.801936:0.546448:0.792267:0.541468:0.792267:0.000000
I x:@0.568609:0.799806:0.589209:0.799806:0.589209:0.783131:0.568609:0.783131:0.000000:0.000000:0.000000
,:@0.574169:0.799689:0.576958:0.799689:0.576958:0.782984:0.574169:0.782984:0.000000
1:@0.589442:0.801936:0.594422:0.801936:0.594422:0.792267:0.589442:0.792267:0.000000
<:@0.598030:0.800333:0.608739:0.800333:0.608739:0.783848:0.598030:0.783848:0.000000
x:@0.612504:0.799806:0.620073:0.799806:0.620073:0.783131:0.612504:0.783131:0.000000
2:@0.620769:0.801936:0.625749:0.801936:0.625749:0.792267:0.620769:0.792267:0.000000
f x:@0.656340:0.799806:0.680080:0.799806:0.680080:0.783131:0.656340:0.783131:0.000000:0.000000:0.000000
1:@0.680299:0.801936:0.685278:0.801936:0.685278:0.792267:0.680299:0.792267:0.000000
( ):@0.664555:0.803405:0.692938:0.803405:0.692938:0.781644:0.664555:0.781644:0.000000:0.000000:0.000000
f x:@0.712582:0.799806:0.736323:0.799806:0.736323:0.783131:0.712582:0.783131:0.000000:0.000000:0.000000
2:@0.737019:0.801936:0.741999:0.801936:0.741999:0.792267:0.737019:0.792267:0.000000
( ):@0.720798:0.803405:0.750839:0.803405:0.750839:0.781644:0.720798:0.781644:0.000000:0.000000:0.000000
.:@0.752180:0.799689:0.754970:0.799689:0.754970:0.782984:0.752180:0.782984:0.000000
ii):@0.404236:0.822892:0.419032:0.822892:0.419032:0.806178:0.404236:0.806178:0.000000:0.000000:0.000000
  Se  dice  que    es  estrictamente  creciente  sobre    si  y  solo  si  se :@0.419032:0.822675:0.895891:0.822675:0.895891:0.806178:0.419032:0.806178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.522429:0.822791:0.526725:0.822791:0.526725:0.806322:0.522429:0.806322:0.000000
I:@0.779408:0.822791:0.783415:0.822791:0.783415:0.806322:0.779408:0.806322:0.000000
 :@0.891743:0.822675:0.895886:0.822675:0.895886:0.806178:0.891743:0.806178:0.000000
verifica: :@0.427952:0.840026:0.485555:0.840026:0.485555:0.823528:0.427952:0.823528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.498678:0.841637:0.528453:0.841637:0.528453:0.824961:0.498678:0.824961:0.000000:0.000000:0.000000
1:@0.506469:0.843765:0.511449:0.843765:0.511449:0.834097:0.506469:0.834097:0.000000
,:@0.513413:0.841519:0.516203:0.841519:0.516203:0.824815:0.513413:0.824815:0.000000
2:@0.529157:0.843765:0.534136:0.843765:0.534136:0.834097:0.529157:0.834097:0.000000
I x:@0.556298:0.841637:0.576897:0.841637:0.576897:0.824961:0.556298:0.824961:0.000000:0.000000:0.000000
,:@0.561857:0.841519:0.564647:0.841519:0.564647:0.824815:0.561857:0.824815:0.000000
1:@0.577131:0.843765:0.582110:0.843765:0.582110:0.834097:0.577131:0.834097:0.000000
<:@0.585718:0.842164:0.596428:0.842164:0.596428:0.825678:0.585718:0.825678:0.000000
x:@0.600193:0.841637:0.607762:0.841637:0.607762:0.824961:0.600193:0.824961:0.000000
2:@0.608460:0.843765:0.613439:0.843765:0.613439:0.834097:0.608460:0.834097:0.000000
f x:@0.644028:0.841637:0.667769:0.841637:0.667769:0.824961:0.644028:0.824961:0.000000:0.000000:0.000000
1:@0.667988:0.843765:0.672967:0.843765:0.672967:0.834097:0.667988:0.834097:0.000000
( ):@0.652244:0.845236:0.680627:0.845236:0.680627:0.823475:0.652244:0.823475:0.000000:0.000000:0.000000
<:@0.683361:0.842164:0.694071:0.842164:0.694071:0.825678:0.683361:0.825678:0.000000
f x:@0.700274:0.841637:0.724014:0.841637:0.724014:0.824961:0.700274:0.824961:0.000000:0.000000:0.000000
2:@0.724708:0.843765:0.729687:0.843765:0.729687:0.834097:0.724708:0.834097:0.000000
( ):@0.708487:0.845236:0.738528:0.845236:0.738528:0.823475:0.708487:0.823475:0.000000:0.000000:0.000000
.:@0.739869:0.841519:0.742658:0.841519:0.742658:0.824815:0.739869:0.824815:0.000000
iii):@0.404236:0.864721:0.423290:0.864721:0.423290:0.848007:0.404236:0.848007:0.000000:0.000000:0.000000:0.000000
 Se dice que   es decreciente sobre   si y solo si se satisface la condi-:@0.423290:0.864504:0.891757:0.864504:0.891757:0.848007:0.423290:0.848007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.512295:0.864620:0.516591:0.864620:0.516591:0.848151:0.512295:0.848151:0.000000
I:@0.668342:0.864620:0.672349:0.864620:0.672349:0.848151:0.668342:0.848151:0.000000
ción:  :@0.427971:0.881855:0.469911:0.881855:0.469911:0.865358:0.427971:0.865358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.483014:0.883466:0.512792:0.883466:0.512792:0.866790:0.483014:0.866790:0.000000:0.000000:0.000000
1:@0.490808:0.885596:0.495787:0.885596:0.495787:0.875927:0.490808:0.875927:0.000000
,:@0.497751:0.883349:0.500541:0.883349:0.500541:0.866644:0.497751:0.866644:0.000000
2:@0.513495:0.885596:0.518475:0.885596:0.518475:0.875927:0.513495:0.875927:0.000000
I x:@0.540636:0.883466:0.561236:0.883466:0.561236:0.866790:0.540636:0.866790:0.000000:0.000000:0.000000
,:@0.546195:0.883349:0.548985:0.883349:0.548985:0.866644:0.546195:0.866644:0.000000
1:@0.561469:0.885596:0.566448:0.885596:0.566448:0.875927:0.561469:0.875927:0.000000
<:@0.570056:0.883993:0.580766:0.883993:0.580766:0.867508:0.570056:0.867508:0.000000
x:@0.584531:0.883466:0.592100:0.883466:0.592100:0.866790:0.584531:0.866790:0.000000
2:@0.592796:0.885596:0.597775:0.885596:0.597775:0.875927:0.592796:0.875927:0.000000
f x:@0.628366:0.883466:0.652107:0.883466:0.652107:0.866790:0.628366:0.866790:0.000000:0.000000:0.000000
1:@0.652326:0.885596:0.657305:0.885596:0.657305:0.875927:0.652326:0.875927:0.000000
( ):@0.636582:0.887065:0.664965:0.887065:0.664965:0.865304:0.636582:0.865304:0.000000:0.000000:0.000000
f x:@0.684609:0.883466:0.708350:0.883466:0.708350:0.866790:0.684609:0.866790:0.000000:0.000000:0.000000
2:@0.709046:0.885596:0.714025:0.885596:0.714025:0.875927:0.709046:0.875927:0.000000
( ):@0.692825:0.887065:0.722866:0.887065:0.722866:0.865304:0.692825:0.865304:0.000000:0.000000:0.000000
.:@0.724207:0.883349:0.726997:0.883349:0.726997:0.866644:0.724207:0.866644:0.000000
iv):@0.404236:0.906552:0.423039:0.906552:0.423039:0.889837:0.404236:0.889837:0.000000:0.000000:0.000000
 Se dice que   es estrictamente decreciente sobre   si y solo si verifica :@0.423039:0.906335:0.895903:0.906335:0.895903:0.889837:0.423039:0.889837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.509983:0.906451:0.514279:0.906451:0.514279:0.889982:0.509983:0.889982:0.000000
I:@0.764225:0.906451:0.768232:0.906451:0.768232:0.889982:0.764225:0.889982:0.000000
la condición siguiente:  :@0.427971:0.925565:0.593402:0.925565:0.593402:0.909068:0.427971:0.909068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.606505:0.924667:0.636280:0.924667:0.636280:0.907991:0.606505:0.907991:0.000000:0.000000:0.000000
1:@0.614296:0.926796:0.619275:0.926796:0.619275:0.917128:0.614296:0.917128:0.000000
,:@0.621240:0.924549:0.624030:0.924549:0.624030:0.907845:0.621240:0.907845:0.000000
2:@0.636984:0.926796:0.641963:0.926796:0.641963:0.917128:0.636984:0.917128:0.000000
I x:@0.664124:0.924667:0.684724:0.924667:0.684724:0.907991:0.664124:0.907991:0.000000:0.000000:0.000000
,:@0.669684:0.924549:0.672474:0.924549:0.672474:0.907845:0.669684:0.907845:0.000000
1:@0.684958:0.926796:0.689937:0.926796:0.689937:0.917128:0.684958:0.917128:0.000000
<:@0.693545:0.925194:0.704255:0.925194:0.704255:0.908708:0.693545:0.908708:0.000000
x:@0.708019:0.924667:0.715588:0.924667:0.715588:0.907991:0.708019:0.907991:0.000000
2:@0.716286:0.926796:0.721266:0.926796:0.721266:0.917128:0.716286:0.917128:0.000000
f x:@0.751855:0.924667:0.775596:0.924667:0.775596:0.907991:0.751855:0.907991:0.000000:0.000000:0.000000
1:@0.775816:0.926796:0.780795:0.926796:0.780795:0.917128:0.775816:0.917128:0.000000
( ):@0.760072:0.928266:0.788455:0.928266:0.788455:0.906505:0.760072:0.906505:0.000000:0.000000:0.000000
>:@0.791188:0.925194:0.801898:0.925194:0.801898:0.908708:0.791188:0.908708:0.000000
f x:@0.808101:0.924667:0.831841:0.924667:0.831841:0.907991:0.808101:0.907991:0.000000:0.000000:0.000000
2:@0.832535:0.926796:0.837514:0.926796:0.837514:0.917128:0.832535:0.917128:0.000000
( ):@0.816313:0.928266:0.846355:0.928266:0.846355:0.906505:0.816313:0.906505:0.000000:0.000000:0.000000
.:@0.847696:0.924549:0.850485:0.924549:0.850485:0.907845:0.847696:0.907845:0.000000
Competencia :@0.200180:0.347358:0.297803:0.347358:0.297803:0.331885:0.200180:0.331885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.200180:0.359926:0.284243:0.359926:0.284243:0.344453:0.200180:0.344453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.200418:0.384399:0.234930:0.384399:0.234930:0.369336:0.200418:0.369336:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.234930:0.384505:0.260347:0.384505:0.260347:0.369468:0.234930:0.369468:0.000000:0.000000:0.000000:0.000000
 dos conjuntos :@0.260347:0.384399:0.360450:0.384399:0.360450:0.369336:0.260347:0.369336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no vacíos cualesquiera, una fun-:@0.153875:0.400241:0.361099:0.400241:0.361099:0.385178:0.153875:0.385178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción o aplicación   de   en   es :@0.153875:0.416083:0.358690:0.416083:0.358690:0.401020:0.153875:0.401020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.267944:0.416189:0.271867:0.416189:0.271867:0.401152:0.267944:0.401152:0.000000
A:@0.295737:0.416189:0.306027:0.416189:0.306027:0.401152:0.295737:0.401152:0.000000
B:@0.329615:0.416189:0.338006:0.416189:0.338006:0.401152:0.329615:0.401152:0.000000
una regla de correspondencia, :@0.153875:0.431925:0.351903:0.431925:0.351903:0.416862:0.153875:0.416862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de asociaciones o procedimien-:@0.153875:0.447767:0.359464:0.447767:0.359464:0.432704:0.153875:0.432704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
to que asigna a cada elemento  :@0.153875:0.463609:0.358427:0.463609:0.358427:0.448546:0.153875:0.448546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.153875:0.479557:0.164306:0.479557:0.164306:0.464520:0.153875:0.464520:0.000000:0.000000
 :@0.164130:0.479253:0.183004:0.479253:0.183004:0.465880:0.164130:0.465880:0.000000:0.000000
A:@0.183004:0.479557:0.193294:0.479557:0.193294:0.464520:0.183004:0.464520:0.000000
 un único elemento :@0.192942:0.479451:0.320926:0.479451:0.320926:0.464388:0.192942:0.464388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.320750:0.479557:0.331374:0.479557:0.331374:0.464520:0.320750:0.464520:0.000000:0.000000
 :@0.331200:0.479253:0.350074:0.479253:0.350074:0.465880:0.331200:0.465880:0.000000:0.000000
B:@0.350074:0.479557:0.358464:0.479557:0.358464:0.464520:0.350074:0.464520:0.000000
.:@0.358113:0.479451:0.360628:0.479451:0.360628:0.464388:0.358113:0.464388:0.000000
El conjunto   se llama conjunto :@0.153875:0.502422:0.365254:0.502422:0.365254:0.487359:0.153875:0.487359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.232151:0.502527:0.242441:0.502527:0.242441:0.487491:0.232151:0.487491:0.000000
de salida de   o dominio de  , :@0.153875:0.518264:0.344020:0.518264:0.344020:0.503201:0.153875:0.503201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.233960:0.518369:0.237883:0.518369:0.237883:0.503333:0.233960:0.503333:0.000000
f:@0.333800:0.518369:0.337722:0.518369:0.337722:0.503333:0.333800:0.503333:0.000000
que se nota también Dom( ); el :@0.153875:0.534106:0.361506:0.534106:0.361506:0.519043:0.153875:0.519043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.331392:0.534211:0.335314:0.534211:0.335314:0.519175:0.331392:0.519175:0.000000
conjunto B se llama conjunto :@0.153875:0.549948:0.348524:0.549948:0.348524:0.534885:0.153875:0.534885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de llegada de  . Al elemento   :@0.153875:0.565790:0.347821:0.565790:0.347821:0.550727:0.153875:0.550727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.243318:0.565895:0.247241:0.565895:0.247241:0.550859:0.243318:0.550859:0.000000
y:@0.337020:0.565895:0.344039:0.565895:0.344039:0.550859:0.337020:0.550859:0.000000
de   se lo llama imagen de   :@0.153875:0.581632:0.339852:0.581632:0.339852:0.566569:0.153875:0.566569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.173963:0.581737:0.182353:0.581737:0.182353:0.566701:0.173963:0.566701:0.000000
x:@0.329246:0.581737:0.336071:0.581737:0.336071:0.566701:0.329246:0.566701:0.000000
por  , y lo escribimos   =  (x).:@0.153875:0.597474:0.340380:0.597474:0.340380:0.582411:0.153875:0.582411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.180753:0.597579:0.184675:0.597579:0.184675:0.582543:0.180753:0.582543:0.000000
y f:@0.291322:0.597579:0.319694:0.597579:0.319694:0.582543:0.291322:0.582543:0.000000:0.000000:0.000000
Para indicar que   es una :@0.153875:0.620445:0.314980:0.620445:0.314980:0.605382:0.153875:0.605382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.261981:0.620550:0.265904:0.620550:0.265904:0.605514:0.261981:0.605514:0.000000
función de   en  , utilizamos la :@0.153875:0.636287:0.361047:0.636287:0.361047:0.621224:0.153875:0.621224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.227945:0.636392:0.238235:0.636392:0.238235:0.621356:0.227945:0.621356:0.000000
B:@0.261823:0.636392:0.270213:0.636392:0.270213:0.621356:0.261823:0.621356:0.000000
notación siguiente::@0.153875:0.652129:0.276425:0.652129:0.276425:0.637066:0.153875:0.637066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.168816:0.686742:0.171296:0.686742:0.171296:0.671894:0.168816:0.671894:0.000000
f:@0.159401:0.686846:0.163268:0.686846:0.163268:0.672024:0.159401:0.672024:0.000000
A:@0.184612:0.675889:0.194755:0.675889:0.194755:0.661067:0.184612:0.661067:0.000000
B:@0.217174:0.675889:0.225445:0.675889:0.225445:0.661067:0.217174:0.661067:0.000000
x:@0.184612:0.696606:0.191339:0.696606:0.191339:0.681784:0.184612:0.681784:0.000000
y:@0.216047:0.696606:0.222965:0.696606:0.222965:0.681784:0.216047:0.681784:0.000000
fx:@0.242411:0.696606:0.263599:0.696606:0.263599:0.681785:0.242411:0.681785:0.000000:0.000000
():@0.249432:0.699143:0.270846:0.699143:0.270846:0.679362:0.249432:0.679362:0.000000:0.000000
→:@0.197274:0.676352:0.214387:0.676352:0.214387:0.661699:0.197274:0.661699:0.000000
→=:@0.194725:0.697069:0.236043:0.697069:0.236043:0.682416:0.194725:0.682416:0.000000:0.000000
En lo sucesivo, por simplicidad, :@0.153880:0.727866:0.357727:0.727866:0.357727:0.712803:0.153880:0.712803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diremos que “la función   de  :@0.153880:0.743708:0.343813:0.743708:0.343813:0.728645:0.153880:0.728645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.312241:0.743814:0.316164:0.743814:0.316164:0.728777:0.312241:0.728777:0.000000
A:@0.153880:0.759656:0.164170:0.759656:0.164170:0.744619:0.153880:0.744619:0.000000
 en   está definida como  :@0.164170:0.759550:0.332134:0.759550:0.332134:0.744487:0.164170:0.744487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.187758:0.759656:0.196149:0.759656:0.196149:0.744619:0.187758:0.744619:0.000000
y f x x:@0.153880:0.775498:0.213070:0.775498:0.213070:0.760461:0.153880:0.760461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 =  ( ),      ”, en la que  ( ) :@0.160898:0.775392:0.343745:0.775392:0.343745:0.760329:0.160898:0.760329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.216852:0.775194:0.231505:0.775194:0.231505:0.761821:0.216852:0.761821:0.000000
A:@0.235287:0.775498:0.245577:0.775498:0.245577:0.760461:0.235287:0.760461:0.000000
f x:@0.318345:0.775498:0.334528:0.775498:0.334528:0.760461:0.318345:0.760461:0.000000:0.000000:0.000000
denota la regla de correspon-:@0.153880:0.791234:0.343937:0.791234:0.343937:0.776171:0.153880:0.776171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dencia, de asignación o de :@0.153880:0.807076:0.327808:0.807076:0.327808:0.792013:0.153880:0.792013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asociación entre el elemento  :@0.153880:0.822918:0.346929:0.822918:0.346929:0.807855:0.153880:0.807855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.153880:0.838866:0.160705:0.838866:0.160705:0.823829:0.153880:0.823829:0.000000
     y el elemento   =  ( )    .:@0.160529:0.838760:0.361372:0.838760:0.361372:0.823697:0.160529:0.823697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.164135:0.838562:0.178787:0.838562:0.178787:0.825189:0.164135:0.825189:0.000000
A:@0.182217:0.838866:0.192508:0.838866:0.192508:0.823829:0.182217:0.823829:0.000000
y f x:@0.284292:0.838866:0.323870:0.838866:0.323870:0.823829:0.284292:0.823829:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.332559:0.838562:0.347212:0.838562:0.347212:0.825189:0.332559:0.825189:0.000000
B:@0.350642:0.838866:0.359032:0.838866:0.359032:0.823829:0.350642:0.823829:0.000000
El conjunto :@0.153880:0.863619:0.232156:0.863619:0.232156:0.848556:0.153880:0.848556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
|:@0.275030:0.863190:0.279538:0.863190:0.279538:0.848342:0.275030:0.848342:0.000000
fx xA:@0.245485:0.863294:0.315512:0.863294:0.315512:0.848472:0.245485:0.848472:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.234087:0.867501:0.242410:0.867501:0.242410:0.844496:0.234087:0.844496:0.000000
}:@0.315371:0.867501:0.323694:0.867501:0.323694:0.844496:0.315371:0.844496:0.000000
():@0.252510:0.865831:0.273923:0.865831:0.273923:0.846050:0.252510:0.846050:0.000000:0.000000
∈:@0.292369:0.863763:0.304731:0.863763:0.304731:0.849110:0.292369:0.849110:0.000000
 se :@0.325634:0.863616:0.346496:0.863616:0.346496:0.848552:0.325634:0.848552:0.000000:0.000000:0.000000:0.000000
llama recorrido de   y se nota :@0.153885:0.879458:0.346000:0.879458:0.346000:0.864394:0.153885:0.864394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.276046:0.879563:0.279969:0.879563:0.279969:0.864526:0.276046:0.864526:0.000000
con Rec( ).  :@0.153885:0.895300:0.230753:0.895300:0.230753:0.880236:0.153885:0.880236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.211316:0.895405:0.215239:0.895405:0.215239:0.880368:0.211316:0.880368:0.000000
Esto es, Rec( ) =:@0.153885:0.913029:0.257014:0.913029:0.257014:0.897966:0.153885:0.897966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.234006:0.913135:0.237928:0.913135:0.237928:0.898098:0.234006:0.898098:0.000000
|:@0.299884:0.912602:0.304392:0.912602:0.304392:0.897754:0.299884:0.897754:0.000000
fx xA:@0.270339:0.912706:0.340365:0.912706:0.340365:0.897884:0.270339:0.897884:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.258939:0.916913:0.267262:0.916913:0.267262:0.893908:0.258939:0.893908:0.000000
}:@0.340223:0.916913:0.348546:0.916913:0.348546:0.893908:0.340223:0.893908:0.000000
():@0.277362:0.915244:0.298775:0.915244:0.298775:0.895462:0.277362:0.895462:0.000000:0.000000
∈:@0.317223:0.913175:0.329585:0.913175:0.329585:0.898522:0.317223:0.898522:0.000000
.:@0.350486:0.913027:0.353001:0.913027:0.353001:0.897964:0.350486:0.897964:0.000000