140:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.º EGB:@0.120102:0.967458:0.170641:0.967458:0.170641:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Operaciones entre conjuntos :@0.286308:0.079033:0.797041:0.079033:0.797041:0.042159:0.286308:0.042159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
Las operaciones entre conjuntos permiten analizar y comparar conjuntos en :@0.286427:0.144957:0.907731:0.144957:0.907731:0.128568:0.286427:0.128568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos de sus propiedades y elementos, lo que resulta útil en diversas áreas como :@0.286427:0.161553:0.907622:0.161553:0.907622:0.145164:0.286427:0.145164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la lógica, la teoría de funciones y la teoría de conjuntos en sí misma.:@0.286427:0.178149:0.781017:0.178149:0.781017:0.161761:0.286427:0.161761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Veamos una situación.:@0.286427:0.194746:0.450027:0.194746:0.450027:0.178357:0.286427:0.178357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se ha averiguado a 30 alumnos del octavo año sobre sus deportes favoritos. 15 de :@0.286427:0.211342:0.907694:0.211342:0.907694:0.194953:0.286427:0.194953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ellos prefieren solo el fútbol, a 8 les gusta solo el básquet; 5 prefieren ambos depor-:@0.286427:0.227939:0.903660:0.227939:0.903660:0.211550:0.286427:0.211550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tes por igual y al resto no le gusta ninguno de los dos deportes. :@0.286427:0.244535:0.754332:0.244535:0.754332:0.228146:0.286427:0.228146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La situación  se representa  mediante el diagrama :@0.286427:0.261131:0.688790:0.261131:0.688790:0.244742:0.286427:0.244742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de Venn adjunto.:@0.286427:0.277728:0.410664:0.277728:0.410664:0.261339:0.286427:0.261339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si unimos los dos conjuntos, obtendremos un nuevo :@0.286427:0.294324:0.688739:0.294324:0.688739:0.277935:0.286427:0.277935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto con alumnos que les gustan el fútbol :@0.286427:0.310920:0.688757:0.310920:0.688757:0.294532:0.286427:0.294532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o el básquet. La región común representa a los estu-:@0.286427:0.327517:0.684725:0.327517:0.684725:0.311128:0.286427:0.311128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diantes que les gusta los dos deportes a la vez. :@0.286427:0.344113:0.631403:0.344113:0.631403:0.327724:0.286427:0.327724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estas son dos de las operaciones que podemos :@0.286427:0.360710:0.688794:0.360710:0.688794:0.344321:0.286427:0.344321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realizar con conjuntos y que las definiremos :@0.286427:0.377306:0.688755:0.377306:0.688755:0.360917:0.286427:0.360917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a continuación.:@0.286427:0.393902:0.399259:0.393902:0.399259:0.377513:0.286427:0.377513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Unión de conjuntos:@0.286427:0.419531:0.484582:0.419531:0.484582:0.398021:0.286427:0.398021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La unión de dos conjuntos A y B es un nuevo conjunto formado por todos los :@0.295924:0.445984:0.896182:0.445984:0.896182:0.429595:0.295924:0.429595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elementos que pertenecen tanto a A como a B.  Se denota con :@0.295924:0.462580:0.766024:0.462371:0.766024:0.445982:0.295924:0.446191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.765969:0.462371:0.803082:0.462371:0.803082:0.446010:0.765969:0.446010:0.000000:0.000000
∪:@0.778058:0.461956:0.792210:0.461956:0.792210:0.445014:0.778058:0.445014:0.000000
 y se define :@0.807436:0.462580:0.896276:0.462580:0.896276:0.446191:0.807436:0.446191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como  :@0.295922:0.478927:0.346911:0.478927:0.346911:0.462538:0.295922:0.462538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.350523:0.478512:0.387636:0.478512:0.387636:0.462151:0.350523:0.462151:0.000000:0.000000
xx Ax B:@0.413343:0.478512:0.522121:0.478512:0.522121:0.462151:0.413343:0.462151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∪=:@0.362611:0.478098:0.401678:0.478098:0.401678:0.461155:0.362611:0.461155:0.000000:0.000000
∈∨ ∈:@0.446273:0.478098:0.512225:0.478098:0.512225:0.461155:0.446273:0.461155:0.000000:0.000000:0.000000:0.000000
{:@0.403714:0.479844:0.412559:0.479844:0.412559:0.458192:0.403714:0.458192:0.000000
}:@0.521761:0.479844:0.530606:0.479844:0.530606:0.458192:0.521761:0.458192:0.000000
/:@0.425178:0.478509:0.431646:0.478509:0.431646:0.462120:0.425178:0.462120:0.000000
.:@0.532869:0.478924:0.536076:0.478924:0.536076:0.462535:0.532869:0.462535:0.000000
Ejemplo: :@0.286437:0.507400:0.353274:0.507400:0.353274:0.490762:0.286437:0.490762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinamos la unión de los conjuntos   = {1, 4, 5, 8} y  = {2, 3, 5, 10}:@0.286437:0.525781:0.808984:0.525781:0.808984:0.509392:0.286437:0.509392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A :@0.593472:0.525781:0.606685:0.525781:0.606685:0.509419:0.593472:0.509419:0.000000:0.000000
B :@0.705347:0.525781:0.717509:0.525781:0.717509:0.509419:0.705347:0.509419:0.000000:0.000000
Solución:@0.286437:0.544161:0.350215:0.544161:0.350215:0.527523:0.286437:0.527523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La unión se forma juntando los elementos de los dos conjuntos.:@0.286437:0.562542:0.754712:0.562542:0.754712:0.546153:0.286437:0.546153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.290048:0.582181:0.327162:0.582181:0.327162:0.565819:0.290048:0.565819:0.000000:0.000000
∪=:@0.302137:0.581766:0.341204:0.581766:0.341204:0.564824:0.302137:0.564824:0.000000:0.000000
{:@0.343227:0.583511:0.352073:0.583511:0.352073:0.561859:0.343227:0.561859:0.000000
}:@0.479131:0.583511:0.487976:0.583511:0.487976:0.561859:0.479131:0.561859:0.000000
12 345 810:@0.350295:0.582176:0.479952:0.582176:0.479952:0.565787:0.350295:0.565787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,,:@0.356358:0.582176:0.378563:0.582176:0.378563:0.565787:0.356358:0.565787:0.000000:0.000000
,,:@0.394356:0.582176:0.417722:0.582176:0.417722:0.565787:0.394356:0.565787:0.000000:0.000000
,,:@0.433256:0.582176:0.456051:0.582176:0.456051:0.565787:0.433256:0.565787:0.000000:0.000000
  :@0.362052:0.582176:0.385087:0.582176:0.385087:0.565787:0.362052:0.565787:0.000000:0.000000
  :@0.400050:0.582176:0.424245:0.582176:0.424245:0.565787:0.400050:0.565787:0.000000:0.000000
  :@0.438950:0.582176:0.462575:0.582176:0.462575:0.565787:0.438950:0.565787:0.000000:0.000000
Gráficamente, se representan ambos conjuntos, :@0.286407:0.608094:0.647218:0.608094:0.647218:0.591705:0.286407:0.591705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
considerando que estos son intersecantes, pues :@0.286407:0.624690:0.647253:0.624690:0.647253:0.608301:0.286407:0.608301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen un elemento en común; luego se pinta :@0.286407:0.641286:0.647236:0.641286:0.647236:0.624897:0.286407:0.624897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
toda el área de los dos conjuntos. :@0.286407:0.657883:0.535194:0.657883:0.535194:0.641494:0.286407:0.641494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Intersección de conjuntos:@0.286427:0.685299:0.546449:0.685299:0.546449:0.663790:0.286427:0.663790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La  intersección  de  dos  conjuntos  es  un  conjunto  formado  por  sus  elementos :@0.295924:0.712002:0.896278:0.712002:0.896278:0.695613:0.295924:0.695613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunes. Se denota con :@0.295924:0.728349:0.481838:0.728349:0.481838:0.711961:0.295924:0.711961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.485452:0.727935:0.522565:0.727935:0.522565:0.711573:0.485452:0.711573:0.000000:0.000000
AB:@0.656958:0.727935:0.694071:0.727935:0.694071:0.711573:0.656958:0.711573:0.000000:0.000000
xx Ax B:@0.719778:0.727935:0.828556:0.727935:0.828556:0.711573:0.719778:0.711573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∩:@0.497542:0.727517:0.511694:0.727517:0.511694:0.710575:0.497542:0.710575:0.000000
∩ =:@0.669048:0.727517:0.708113:0.727517:0.708113:0.710575:0.669048:0.710575:0.000000:0.000000:0.000000
∈ ∧∈:@0.752708:0.727517:0.818679:0.727517:0.818679:0.710575:0.752708:0.710575:0.000000:0.000000:0.000000:0.000000
{:@0.710142:0.729266:0.718987:0.729266:0.718987:0.707614:0.710142:0.707614:0.000000
}:@0.828189:0.729266:0.837034:0.729266:0.837034:0.707614:0.828189:0.707614:0.000000
 y se define como :@0.523823:0.727932:0.656981:0.727932:0.656981:0.711543:0.523823:0.711543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
/:@0.731613:0.727932:0.738081:0.727932:0.738081:0.711543:0.731613:0.711543:0.000000
Ejemplo: :@0.286438:0.754970:0.353275:0.754970:0.353275:0.738332:0.286438:0.738332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hallamos la intersección de los conjuntos del ejemplo anterior.:@0.286438:0.773351:0.745148:0.773351:0.745148:0.756962:0.286438:0.756962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución :@0.286438:0.795299:0.353570:0.795299:0.353570:0.778662:0.286438:0.778662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Buscamos entre los dos conjuntos los elementos :@0.286438:0.813680:0.647268:0.813680:0.647268:0.797291:0.286438:0.797291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunes y formamos el conjunto intersección. :@0.286438:0.830276:0.634899:0.830276:0.634899:0.813887:0.286438:0.813887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.290050:0.849915:0.327163:0.849915:0.327163:0.833554:0.290050:0.833554:0.000000:0.000000
∩=:@0.302139:0.849500:0.341205:0.849500:0.341205:0.832558:0.302139:0.832558:0.000000:0.000000
{}:@0.343227:0.851231:0.367625:0.851231:0.367625:0.829579:0.343227:0.829579:0.000000:0.000000
5:@0.351446:0.849896:0.360439:0.849896:0.360439:0.833508:0.351446:0.833508:0.000000
En el diagrama de Venn, pintamos el área común :@0.286433:0.875814:0.647274:0.875814:0.647274:0.859426:0.286433:0.859426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a los dos conjuntos dados.:@0.286433:0.892411:0.480086:0.892411:0.480086:0.876022:0.286433:0.876022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.707456:0.279428:0.719729:0.279428:0.719729:0.262527:0.707456:0.262527:0.000000
F:@0.713775:0.295272:0.722750:0.295272:0.722750:0.278648:0.713775:0.278648:0.000000
15:@0.733880:0.328465:0.752787:0.328465:0.752787:0.311841:0.733880:0.311841:0.000000:0.000000
B:@0.879200:0.295272:0.889188:0.295272:0.889188:0.278648:0.879200:0.278648:0.000000
8:@0.856626:0.329986:0.866080:0.329986:0.866080:0.313362:0.856626:0.313362:0.000000
5:@0.795447:0.329986:0.804900:0.329986:0.804900:0.313362:0.795447:0.313362:0.000000
2:@0.880472:0.363718:0.889925:0.363718:0.889925:0.347094:0.880472:0.347094:0.000000
U:@0.663704:0.587405:0.676115:0.587405:0.676115:0.570314:0.663704:0.570314:0.000000
A:@0.680848:0.599502:0.692252:0.599502:0.692252:0.582691:0.680848:0.582691:0.000000
4:@0.709676:0.640914:0.719235:0.640914:0.719235:0.624103:0.709676:0.624103:0.000000
8:@0.734907:0.659445:0.744467:0.659445:0.744467:0.642634:0.734907:0.642634:0.000000
1:@0.731646:0.603712:0.741206:0.603712:0.741206:0.586901:0.731646:0.586901:0.000000
B:@0.874239:0.599502:0.884339:0.599502:0.884339:0.582691:0.874239:0.582691:0.000000
2:@0.830801:0.605544:0.840361:0.605544:0.840361:0.588733:0.830801:0.588733:0.000000
3:@0.850666:0.636117:0.860226:0.636117:0.860226:0.619306:0.850666:0.619306:0.000000
10:@0.818335:0.652242:0.837454:0.652242:0.837454:0.635431:0.818335:0.635431:0.000000:0.000000
5:@0.775605:0.631474:0.785165:0.631474:0.785165:0.614663:0.775605:0.614663:0.000000
U:@0.663704:0.802989:0.676115:0.802989:0.676115:0.785898:0.663704:0.785898:0.000000
A:@0.680848:0.815087:0.692252:0.815087:0.692252:0.798276:0.680848:0.798276:0.000000
4:@0.709676:0.856498:0.719235:0.856498:0.719235:0.839687:0.709676:0.839687:0.000000
8:@0.734907:0.875029:0.744467:0.875029:0.744467:0.858219:0.734907:0.858219:0.000000
1:@0.731646:0.819296:0.741206:0.819296:0.741206:0.802486:0.731646:0.802486:0.000000
B:@0.874239:0.815087:0.884339:0.815087:0.884339:0.798276:0.874239:0.798276:0.000000
2:@0.830801:0.821128:0.840361:0.821128:0.840361:0.804318:0.830801:0.804318:0.000000
3:@0.850666:0.851701:0.860226:0.851701:0.860226:0.834890:0.850666:0.834890:0.000000
10:@0.818335:0.867827:0.837454:0.867827:0.837454:0.851016:0.818335:0.851016:0.000000:0.000000
5:@0.775605:0.847058:0.785165:0.847058:0.785165:0.830247:0.775605:0.830247:0.000000
©:@0.070380:0.302774:0.070380:0.297667:0.058298:0.297667:0.058298:0.302774:0.000000
Shutterstock:@0.070380:0.297667:0.070380:0.259949:0.058469:0.259949:0.058469:0.297667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática e historia:@0.088760:0.193169:0.244757:0.193169:0.244757:0.177805:0.088760:0.177805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La teoría de conjuntos :@0.096064:0.323727:0.248426:0.323727:0.248426:0.308828:0.096064:0.308828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estudia las propiedades y :@0.076313:0.338815:0.248426:0.338815:0.248426:0.323916:0.076313:0.323916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relaciones de los :@0.134193:0.353903:0.248427:0.353903:0.248427:0.339004:0.134193:0.339004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjuntos; este campo :@0.092915:0.368990:0.248426:0.368990:0.248426:0.354091:0.092915:0.354091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fue impulsado por :@0.122114:0.384078:0.248427:0.384078:0.248427:0.369179:0.122114:0.369179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Bolzano y Cantor; luego :@0.086348:0.399165:0.248426:0.399165:0.248426:0.384266:0.086348:0.384266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fue perfeccionado, ya en :@0.080568:0.414253:0.248426:0.414253:0.248426:0.399354:0.080568:0.399354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siglo XX, por otros :@0.124409:0.429341:0.248426:0.429341:0.248426:0.414442:0.124409:0.414442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticos, como :@0.112180:0.444428:0.248426:0.444428:0.248426:0.429529:0.112180:0.429529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Zermelo y Fraenkel.:@0.115196:0.459516:0.244755:0.459516:0.244755:0.444617:0.115196:0.444617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.090129:0.164010:0.247335:0.164010:0.247335:0.147109:0.090129:0.147109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto potencia:@0.110320:0.563008:0.244756:0.563008:0.244756:0.547644:0.110320:0.547644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El conjunto potencia es el :@0.072996:0.581654:0.248425:0.581654:0.248425:0.566755:0.072996:0.566755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto que contiene a :@0.079965:0.596741:0.248427:0.596741:0.248427:0.581842:0.079965:0.581842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
todos los subconjuntos :@0.088994:0.611829:0.248425:0.611829:0.248425:0.596930:0.088994:0.596930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un conjunto dado, :@0.100470:0.626917:0.248425:0.626917:0.248425:0.612018:0.100470:0.612018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incluyendo el conjunto :@0.090150:0.642004:0.248425:0.642004:0.248425:0.627105:0.090150:0.627105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vacío, que es subconjunto :@0.070399:0.657092:0.248423:0.657092:0.248423:0.642193:0.070399:0.642193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de todo conjunto.:@0.124744:0.672180:0.244756:0.672180:0.244756:0.657280:0.124744:0.657280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Así, sea A = {1,2}:@0.137844:0.690825:0.244758:0.690825:0.244758:0.675926:0.137844:0.675926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P(A) = {{ }, {1}, {2}, {1,2}}:@0.097019:0.709471:0.244758:0.709471:0.244758:0.694572:0.097019:0.694572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.115799:0.530567:0.223340:0.530567:0.223340:0.513667:0.115799:0.513667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la teoría de conjuntos :@0.079564:0.817560:0.248425:0.817560:0.248425:0.802661:0.079564:0.802661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se utilizan varios símbolos :@0.072176:0.832648:0.248426:0.832648:0.248426:0.817749:0.072176:0.817749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticos de la lógica :@0.078173:0.847735:0.248425:0.847735:0.248425:0.832836:0.078173:0.832836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proposicional.:@0.151180:0.862823:0.244759:0.862823:0.244759:0.847924:0.151180:0.847924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∧=:@0.202613:0.879842:0.227490:0.879842:0.227490:0.862899:0.202613:0.862899:0.000000:0.000000
∨=:@0.202299:0.900587:0.227490:0.900587:0.227490:0.883645:0.202299:0.883645:0.000000:0.000000
y:@0.232087:0.880257:0.239568:0.880257:0.239568:0.863895:0.232087:0.863895:0.000000
o:@0.230673:0.901002:0.239887:0.901002:0.239887:0.884641:0.230673:0.884641:0.000000
    Comunicacional:@0.101541:0.785119:0.237601:0.785119:0.237601:0.768218:0.101541:0.768218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000