35:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento numérico y variacional :@0.603816:0.043660:0.930949:0.043660:0.930949:0.024915:0.603816:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 6. Conjunto de los números complejos:@0.073089:0.098895:0.724766:0.098895:0.724766:0.067654:0.073089:0.067654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.305481:0.139193:0.427956:0.139193:0.427956:0.123786:0.305481:0.123786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es la forma estándar de un número complejo?:@0.293660:0.167214:0.674261:0.167214:0.674261:0.150780:0.293660:0.150780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la solución de ecuaciones es posible que algunas de estas no se encuentren en los :@0.073086:0.213381:0.709865:0.213381:0.709865:0.196947:0.073086:0.196947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales. Por ejemplo, las soluciones de la ecuación x  + 1 = 0 no están en el :@0.073086:0.230023:0.710489:0.230017:0.710489:0.213583:0.073086:0.213589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.527128:0.223953:0.532365:0.223953:0.532365:0.214372:0.527128:0.214372:0.000000
conjunto de los números reales. Recordemos que las soluciones son los valores que :@0.073083:0.246658:0.710469:0.246658:0.710469:0.230225:0.073083:0.230225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
satisfacen la ecuación propuesta, es decir, que al sustituirlos en la ecuación se genera una :@0.073083:0.263300:0.710835:0.263300:0.710835:0.246866:0.073083:0.246866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igualdad, como pasa en las siguientes ecuaciones::@0.073083:0.279942:0.436022:0.279942:0.436022:0.263508:0.073083:0.263508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.073083:0.307304:0.080538:0.307304:0.080538:0.290898:0.073083:0.290898:0.000000
2:@0.080478:0.301241:0.085714:0.301241:0.085714:0.291660:0.080478:0.291660:0.000000
-4 = 0 el conjunto solución es  2,2 en el conjunto  . :@0.085667:0.307305:0.472164:0.307305:0.472164:0.290872:0.085667:0.290872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.303296:0.306751:0.318630:0.306751:0.318630:0.293035:0.303296:0.293035:0.000000
Z:@0.452745:0.306446:0.465022:0.306446:0.465022:0.293548:0.452745:0.293548:0.000000
9 -16 = 0 el conjunto solución es { 4/3, 4/3} en el conjunto  .:@0.073095:0.331089:0.533104:0.331094:0.533104:0.314661:0.073095:0.314655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.082004:0.331089:0.089459:0.331089:0.089459:0.314683:0.082004:0.314683:0.000000
2:@0.089380:0.325031:0.094616:0.325031:0.094616:0.315449:0.089380:0.315449:0.000000
2:@0.325894:0.330540:0.341227:0.330540:0.341227:0.316824:0.325894:0.316824:0.000000
Q:@0.514660:0.330235:0.529993:0.330235:0.529993:0.317337:0.514660:0.317337:0.000000
x:@0.073088:0.360675:0.080543:0.360675:0.080543:0.344269:0.073088:0.344269:0.000000
2:@0.080478:0.354607:0.085714:0.354607:0.085714:0.345027:0.080478:0.345027:0.000000
-2 = 0, el conjunto solución es :@0.085668:0.360671:0.306713:0.360671:0.306713:0.344238:0.085668:0.344238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2, 2  en el conjunto  .:@0.344068:0.359008:0.520566:0.360671:0.520566:0.344238:0.344068:0.342575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.307302:0.368180:0.317146:0.368180:0.317146:0.334292:0.307302:0.334292:0.000000
:@0.395210:0.368180:0.385365:0.368180:0.385365:0.334292:0.395210:0.334292:0.000000
_:@0.318485:0.354532:0.327688:0.354532:0.327688:0.338098:0.318485:0.338098:0.000000
I:@0.511326:0.359812:0.517456:0.359812:0.517456:0.346914:0.511326:0.346914:0.000000
Es decir que todas las soluciones anteriores están en el conjunto de los  , pero la :@0.073086:0.388033:0.710367:0.388033:0.710367:0.371600:0.073086:0.371600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.630329:0.387174:0.643619:0.387174:0.643619:0.374276:0.630329:0.374276:0.000000
ecuación  no tiene números reales que la satisfagan. :@0.073086:0.404675:0.454414:0.404675:0.454414:0.388241:0.073086:0.388241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por esto, necesitamos otro conjunto llamado :@0.073086:0.432037:0.403266:0.432037:0.403266:0.415603:0.073086:0.415603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el conjunto de los números complejos:@0.403367:0.432037:0.703268:0.432037:0.703268:0.415090:0.403367:0.415090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.703129:0.432037:0.710364:0.432037:0.710364:0.415603:0.703129:0.415603:0.000000:0.000000
el cual se denota con   y que cumple la contenencia de los conjuntos numéricos::@0.073086:0.448679:0.667103:0.448679:0.667103:0.432245:0.073086:0.432245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.230855:0.447819:0.244145:0.447819:0.244145:0.434922:0.230855:0.434922:0.000000
N:@0.288764:0.475944:0.303085:0.475944:0.303085:0.463046:0.288764:0.463046:0.000000
 :@0.302993:0.476804:0.307024:0.476804:0.307024:0.460370:0.302993:0.460370:0.000000
 :@0.318950:0.476386:0.323552:0.476386:0.323552:0.459398:0.318950:0.459398:0.000000
Z:@0.323460:0.475943:0.335737:0.475943:0.335737:0.463045:0.323460:0.463045:0.000000
 :@0.335645:0.476802:0.339677:0.476802:0.339677:0.460369:0.335645:0.460369:0.000000
 :@0.351601:0.476386:0.356203:0.476386:0.356203:0.459398:0.351601:0.459398:0.000000
Q:@0.356111:0.475943:0.371444:0.475943:0.371444:0.463045:0.356111:0.463045:0.000000
 (:@0.371352:0.476802:0.380188:0.476802:0.380188:0.460369:0.371352:0.460369:0.000000:0.000000
Q:@0.391349:0.462756:0.405288:0.462756:0.405288:0.451032:0.391349:0.451032:0.000000
I:@0.395533:0.485822:0.401105:0.485822:0.401105:0.474097:0.395533:0.474097:0.000000
)        .:@0.416455:0.476802:0.490665:0.476802:0.490665:0.460369:0.416455:0.460369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.441159:0.475943:0.454449:0.475943:0.454449:0.463045:0.441159:0.463045:0.000000
C:@0.474264:0.475943:0.487554:0.475943:0.487554:0.463045:0.474264:0.463045:0.000000
Esto significa que los números naturales ( ) están contenidos en los enteros ( ), los que, :@0.073096:0.504164:0.710390:0.504164:0.710390:0.487731:0.073096:0.487731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N:@0.368072:0.503305:0.382393:0.503305:0.382393:0.490407:0.368072:0.490407:0.000000
Z:@0.627523:0.503305:0.639800:0.503305:0.639800:0.490407:0.627523:0.490407:0.000000
a su vez, están contenidos en los racionales ( ). Igualmente, los racionales ( ), unidos :@0.073096:0.520806:0.710420:0.520806:0.710420:0.504372:0.073096:0.504372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.401187:0.519946:0.416520:0.519946:0.416520:0.507049:0.401187:0.507049:0.000000
Q:@0.628406:0.519946:0.643739:0.519946:0.643739:0.507049:0.628406:0.507049:0.000000
con los irracionales ( ) forman los números reales ( ), que están contenidos en los :@0.073096:0.537448:0.710346:0.537448:0.710346:0.521014:0.073096:0.521014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I:@0.230220:0.536588:0.236350:0.536588:0.236350:0.523691:0.230220:0.523691:0.000000
R:@0.461047:0.536588:0.474337:0.536588:0.474337:0.523691:0.461047:0.523691:0.000000
números complejos ( ).:@0.073114:0.554090:0.247928:0.554090:0.247928:0.537656:0.073114:0.537656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.226723:0.553230:0.240013:0.553230:0.240013:0.540333:0.226723:0.540333:0.000000
Definamos entonces el conjunto de los números complejos::@0.073114:0.581452:0.509411:0.581452:0.509411:0.565018:0.073114:0.565018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.547071:0.606763:0.550274:0.606763:0.550274:0.590329:0.547071:0.590329:0.000000
Los complejos es el conjunto de los números de la forma   =   +   , donde tanto   como    :@0.073089:0.639586:0.710366:0.639586:0.710366:0.623152:0.073089:0.623152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z x yi:@0.476373:0.639586:0.537136:0.639586:0.537136:0.623180:0.476373:0.623180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.639241:0.639586:0.646696:0.639586:0.646696:0.623180:0.639241:0.623180:0.000000
y:@0.698862:0.639586:0.706335:0.639586:0.706335:0.623180:0.698862:0.623180:0.000000
son números reales. Si   = 0, entonces se dice que  es un imaginario puro   =  .:@0.073089:0.656228:0.636038:0.656228:0.636038:0.639794:0.073089:0.639794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.232772:0.656228:0.240227:0.656228:0.240227:0.639822:0.232772:0.639822:0.000000
 z:@0.423931:0.656228:0.434221:0.656228:0.434221:0.639822:0.423931:0.639822:0.000000:0.000000
z yi:@0.596849:0.656228:0.633074:0.656228:0.633074:0.639822:0.596849:0.639822:0.000000:0.000000:0.000000:0.000000
6.1 Representación geométrica:@0.073070:0.683590:0.317568:0.683590:0.317568:0.666643:0.073070:0.666643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.355032:0.760960:0.359721:0.760960:0.359721:0.748859:0.355032:0.748859:0.000000
z:@0.377274:0.798030:0.381517:0.798030:0.381517:0.785929:0.377274:0.785929:0.000000
x:@0.445575:0.853257:0.450184:0.853257:0.450184:0.841156:0.445575:0.841156:0.000000
x+y i:@0.457178:0.760705:0.479177:0.760705:0.479177:0.748604:0.457178:0.748604:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.743851:0.217094:0.892774:0.217094:0.892774:0.201688:0.743851:0.201688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Números  :@0.743851:0.232223:0.811875:0.232223:0.811875:0.217283:0.743851:0.217283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
complejos :@0.743851:0.247352:0.816677:0.247352:0.816677:0.232412:0.743851:0.232412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y física :@0.743851:0.262481:0.790756:0.262481:0.790756:0.247541:0.743851:0.247541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En física, los números :@0.745475:0.290211:0.903733:0.290211:0.903733:0.273777:0.745475:0.273777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
complejos aparecen en :@0.745475:0.306853:0.919581:0.306853:0.919581:0.290419:0.745475:0.290419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el estudio de :@0.745475:0.323495:0.843364:0.323495:0.843364:0.307061:0.745475:0.307061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fenómenos :@0.745475:0.340136:0.832570:0.340136:0.832570:0.323703:0.745475:0.323703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ondulatorios, como la :@0.745475:0.356778:0.907342:0.356778:0.907342:0.340344:0.745475:0.340344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propagación de la luz, :@0.745475:0.373420:0.909329:0.373420:0.909329:0.356986:0.745475:0.356986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el sonido y otras :@0.745475:0.390062:0.867662:0.390062:0.867662:0.373628:0.745475:0.373628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
formas de radiación :@0.745475:0.406704:0.893086:0.406704:0.893086:0.390270:0.745475:0.390270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
electromagnética. :@0.745475:0.423346:0.880582:0.423346:0.880582:0.406912:0.745475:0.406912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Además, son útiles en :@0.745475:0.439987:0.907261:0.439987:0.907261:0.423554:0.745475:0.423554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mecánica cuántica :@0.745475:0.456629:0.885517:0.456629:0.885517:0.440195:0.745475:0.440195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para representar :@0.745475:0.473271:0.868328:0.473271:0.868328:0.456837:0.745475:0.456837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
operadores lineales y :@0.745475:0.489913:0.902279:0.489913:0.902279:0.473479:0.745475:0.473479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estados cuánticos.:@0.745475:0.506555:0.878368:0.506555:0.878368:0.490121:0.745475:0.490121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Número complej:@0.087319:0.136100:0.162634:0.136100:0.162634:0.126119:0.087319:0.126119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o:@0.162631:0.136100:0.168810:0.136100:0.168810:0.126103:0.162631:0.126103:0.000000
Parte real:@0.107189:0.168954:0.151977:0.168954:0.151977:0.158974:0.107189:0.158974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Parte Imaginaria:@0.159621:0.173844:0.237386:0.173844:0.237386:0.163863:0.159621:0.163863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Z:@0.103323:0.158562:0.109502:0.158562:0.109502:0.148566:0.103323:0.148566:0.000000
=:@0.115467:0.158562:0.121850:0.158562:0.121850:0.148566:0.115467:0.148566:0.000000
a:@0.128158:0.158562:0.134091:0.158562:0.134091:0.148582:0.128158:0.148582:0.000000
+:@0.141405:0.158562:0.147788:0.158562:0.147788:0.148566:0.141405:0.148566:0.000000
b:@0.155198:0.158562:0.161196:0.158562:0.161196:0.148582:0.155198:0.148582:0.000000
i:@0.161153:0.158562:0.163991:0.158562:0.163991:0.148582:0.161153:0.148582:0.000000
Unidad imaginaria:@0.150229:0.147024:0.236559:0.147024:0.236559:0.137044:0.150229:0.137044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000