97:@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
1.1 Relaciones binarias: reflexiva, simétrica y transitiva:@0.073089:0.145833:0.498486:0.145833:0.498486:0.128886:0.073089:0.128886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.073089:0.173195:0.148872:0.173195:0.148872:0.156525:0.073089:0.156525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dado el conjunto M = {1, 2, 4, 8} considerando que establece la relación R de M en M :@0.073089:0.200557:0.710011:0.200557:0.710011:0.184123:0.073089:0.184123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
definida por “  divide a ”, ¿qué pares ordenados definen esta relación y qué propiedad :@0.073089:0.217199:0.710300:0.217199:0.710300:0.200765:0.073089:0.200765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.170316:0.217199:0.177771:0.217199:0.177771:0.200793:0.170316:0.200793:0.000000
 y:@0.239601:0.217199:0.250682:0.217199:0.250682:0.200793:0.239601:0.200793:0.000000:0.000000
se aplica?:@0.073070:0.233840:0.142079:0.233840:0.142079:0.217407:0.073070:0.217407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.073070:0.261202:0.139204:0.261202:0.139204:0.244533:0.073070:0.244533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontramos la relación \x divide a y\.:@0.073070:0.288564:0.344029:0.288564:0.344029:0.272131:0.073070:0.272131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  1 divide a 1, 2, 4, y 8 :@0.099889:0.308784:0.283257:0.308784:0.283257:0.292115:0.099889:0.292115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.314161:0.308784:0.318063:0.308784:0.318063:0.292115:0.314161:0.292115:0.000000
c.   4 divide a 4 y 8 :@0.374297:0.308784:0.513141:0.308784:0.513141:0.292115:0.374297:0.292115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  2 divide a 2, 4, y 8 :@0.099889:0.329000:0.266322:0.329000:0.266322:0.312331:0.099889:0.312331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.314146:0.329000:0.318048:0.329000:0.318048:0.312331:0.314146:0.312331:0.000000
d.   8 divide a 8 :@0.374297:0.329000:0.489582:0.329000:0.489582:0.312331:0.374297:0.312331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los pares ordenados que definen la relación son::@0.073089:0.356363:0.425864:0.356363:0.425864:0.339930:0.073089:0.339930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R = {(1, 1); (1, 2); (1, 4); (1, 8); (2, 2); (2, 4); (2, 8); (4, 4); (4, 8); (8, 8)}.:@0.073089:0.380147:0.522852:0.380147:0.522852:0.363714:0.073089:0.363714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como podemos observar, se cumple la :@0.073089:0.400367:0.360654:0.400367:0.360654:0.383933:0.073089:0.383933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedad reflexiva:@0.360352:0.400367:0.514318:0.400367:0.514318:0.383420:0.360352:0.383420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.514200:0.400367:0.517403:0.400367:0.517403:0.383933:0.514200:0.383933:0.000000
Ejemplo 2:@0.073089:0.431307:0.148872:0.431307:0.148872:0.414638:0.073089:0.414638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dado  el  conjunto  Q  =  {Teresa,  Martha,  Ana}  considerando  que  se  establece  :@0.073089:0.458669:0.710366:0.458669:0.710366:0.442235:0.073089:0.442235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la relación R de Q en Q definida por “ es hermana de  ”, ¿cómo relacionamos  :@0.073089:0.475311:0.710377:0.475310:0.710377:0.458876:0.073089:0.458877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.381594:0.475311:0.392731:0.475311:0.392731:0.458905:0.381594:0.458905:0.000000:0.000000
y:@0.522502:0.475311:0.529975:0.475311:0.529975:0.458905:0.522502:0.458905:0.000000
 :@0.537531:0.474995:0.541079:0.474995:0.541079:0.459840:0.537531:0.459840:0.000000
el problema?:@0.073099:0.491952:0.167762:0.491952:0.167762:0.475518:0.073099:0.475518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.073099:0.519313:0.136395:0.519313:0.136395:0.502880:0.073099:0.502880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  T es hermana de M. :@0.101550:0.539531:0.280911:0.539531:0.280911:0.522861:0.101550:0.522861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d.:@0.375972:0.539531:0.389907:0.539531:0.389907:0.522861:0.375972:0.522861:0.000000:0.000000
   A es hermana de T.:@0.389833:0.539531:0.542967:0.539531:0.542967:0.522861:0.389833:0.522861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  M es hermana de T. :@0.101550:0.559746:0.279033:0.559746:0.279033:0.543076:0.101550:0.543076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e.   M es hermana de A.:@0.375966:0.559746:0.549281:0.559746:0.549281:0.543076:0.375966:0.543076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c,  T es hermana de A. :@0.101550:0.579962:0.277376:0.579962:0.277376:0.563292:0.101550:0.563292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f.   A es hermana de M.:@0.375966:0.579962:0.545046:0.579962:0.545046:0.563292:0.375966:0.563292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los pares ordenados que definen esta relación son::@0.073089:0.607324:0.443296:0.607324:0.443296:0.590890:0.073089:0.590890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R = { (T, M); (M, T); (T, A); (A, T); (M, A); (A, M) }.:@0.073089:0.631108:0.392862:0.631108:0.392862:0.614674:0.073089:0.614674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se cumple la:@0.073089:0.651327:0.166204:0.651327:0.166204:0.634894:0.073089:0.634894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 propiedad simétrica:@0.166046:0.651327:0.328359:0.651327:0.328359:0.634380:0.166046:0.634380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.328232:0.651327:0.331435:0.651327:0.331435:0.634894:0.328232:0.634894:0.000000
Ejemplo 3:@0.073089:0.682267:0.148872:0.682267:0.148872:0.665598:0.073089:0.665598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dado el conjunto S = {5, 6, 7, 8}, se establece la relación R de S en S definida por  :@0.073089:0.709629:0.710367:0.709629:0.710367:0.693195:0.073089:0.693195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
“  es mayor que  ”. ¿Cómo verificamos la propiedad transitiva?:@0.073089:0.726271:0.519925:0.726271:0.519925:0.709837:0.073089:0.709837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.078409:0.726271:0.085864:0.726271:0.085864:0.709865:0.078409:0.709865:0.000000
y:@0.191779:0.726271:0.199253:0.726271:0.199253:0.709865:0.191779:0.709865:0.000000
Solución:@0.073089:0.753633:0.136385:0.753633:0.136385:0.737199:0.073089:0.737199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  6 es mayor que 5.:@0.101550:0.773850:0.262052:0.773850:0.262052:0.757181:0.101550:0.757181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  7 es mayor que 5, 6.:@0.101550:0.794066:0.278986:0.794066:0.278986:0.777397:0.101550:0.777397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c.  8 es mayor que 5, 6, 7.:@0.101550:0.814281:0.295921:0.814281:0.295921:0.797612:0.101550:0.797612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los pares ordenados que definen esta relación son::@0.073089:0.841644:0.443296:0.841644:0.443296:0.825211:0.073089:0.825211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R = { (6, 5); (7, 5); (7, 6); (8, 5); (8, 6); (8, 7) }.:@0.073089:0.865428:0.364365:0.865428:0.364365:0.848995:0.073089:0.848995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La relación cumple la :@0.073089:0.889212:0.230705:0.889212:0.230705:0.872778:0.073089:0.872778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedad transitiva:@0.230489:0.889212:0.391026:0.889212:0.391026:0.872265:0.230489:0.872265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.390908:0.889212:0.398143:0.889212:0.398143:0.872778:0.390908:0.872778:0.000000:0.000000
R es transitiva si un elemento está relacionado con un segundo y este con un tercero, y :@0.073089:0.916574:0.710904:0.916574:0.710904:0.900140:0.073089:0.900140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces el primero está relacionado con el tercero.:@0.073089:0.933216:0.448540:0.933216:0.448540:0.916782:0.073089:0.916782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las relaciones binarias :@0.740294:0.223525:0.890033:0.223525:0.890033:0.208585:0.740294:0.208585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pueden cumplir las :@0.740294:0.238654:0.871235:0.238654:0.871235:0.223714:0.740294:0.223714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguientes propiedades, :@0.740294:0.253783:0.900500:0.253783:0.900500:0.238843:0.740294:0.238843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pero no necesariamente :@0.740294:0.268912:0.905370:0.268912:0.905370:0.253972:0.740294:0.253972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
todas. :@0.740294:0.284041:0.783253:0.284041:0.783253:0.269101:0.740294:0.269101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedad reflexiva :@0.740294:0.306318:0.883089:0.306318:0.883089:0.290912:0.740294:0.290912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los elementos del :@0.740294:0.328596:0.864111:0.328596:0.864111:0.313656:0.740294:0.313656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto están :@0.740294:0.343724:0.843585:0.343724:0.843585:0.328785:0.740294:0.328785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relacionados entre sí de :@0.740294:0.358853:0.900172:0.358853:0.900172:0.343914:0.740294:0.343914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tal manera que para todo :@0.740294:0.373982:0.911726:0.373982:0.911726:0.359043:0.740294:0.359043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elemento  de A, entonces :@0.740294:0.389111:0.919390:0.389111:0.919390:0.374171:0.740294:0.374171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.807832:0.389111:0.817554:0.389111:0.817554:0.374197:0.807832:0.374197:0.000000:0.000000
 :@0.755281:0.404238:0.758945:0.404238:0.758945:0.389298:0.755281:0.389298:0.000000
x x:@0.758872:0.404238:0.789127:0.404238:0.789127:0.389071:0.758872:0.389071:0.000000:0.000000:0.000000
   :@0.766184:0.404238:0.781814:0.404238:0.781814:0.388617:0.766184:0.388617:0.000000:0.000000:0.000000
R:@0.769498:0.404238:0.778500:0.404238:0.778500:0.389084:0.769498:0.389084:0.000000
.:@0.789060:0.404238:0.791971:0.404238:0.791971:0.389298:0.789060:0.389298:0.000000
∀:@0.740280:0.422556:0.752212:0.422556:0.752212:0.407112:0.740280:0.407112:0.000000
     A,  R  .:@0.752128:0.422935:0.830877:0.422935:0.830877:0.407995:0.752128:0.407995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.755726:0.422935:0.762503:0.422935:0.762503:0.408020:0.755726:0.408020:0.000000
[:@0.766034:0.422808:0.779973:0.422808:0.779973:0.410037:0.766034:0.410037:0.000000
x  x:@0.799619:0.422935:0.828033:0.422935:0.828033:0.408020:0.799619:0.408020:0.000000:0.000000:0.000000:0.000000
Propiedad simétrica :@0.740280:0.445212:0.887266:0.445212:0.887266:0.429806:0.740280:0.429806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si dos elementos de un :@0.740280:0.467489:0.898559:0.467489:0.898559:0.452549:0.740280:0.452549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto cumplen que, :@0.740280:0.482618:0.899406:0.482618:0.899406:0.467678:0.740280:0.467678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si el primer elemento :@0.740280:0.497747:0.884078:0.497747:0.884078:0.482807:0.740280:0.482807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
está relacionado con el :@0.740280:0.512876:0.896034:0.512876:0.896034:0.497936:0.740280:0.497936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundo, entonces se :@0.740280:0.528005:0.888129:0.528005:0.888129:0.513065:0.740280:0.513065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cumple también que el :@0.740280:0.543134:0.898581:0.543134:0.898581:0.528194:0.740280:0.528194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundo está relacionado :@0.740280:0.558263:0.914622:0.558263:0.914622:0.543323:0.740280:0.543323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con el primero: :@0.740280:0.573392:0.843498:0.573392:0.843498:0.558452:0.740280:0.558452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si:@0.740280:0.592089:0.749953:0.592089:0.749953:0.577149:0.740280:0.577149:0.000000:0.000000
 :@0.749869:0.592089:0.753249:0.592089:0.753249:0.576468:0.749869:0.576468:0.000000
x y:@0.753182:0.592089:0.783136:0.592089:0.783136:0.576922:0.753182:0.576922:0.000000:0.000000:0.000000
 :@0.760495:0.592089:0.763574:0.592089:0.763574:0.576493:0.760495:0.576493:0.000000
R:@0.763507:0.592089:0.772510:0.592089:0.772510:0.576935:0.763507:0.576935:0.000000
 :@0.772443:0.592089:0.775823:0.592089:0.775823:0.576468:0.772443:0.576468:0.000000
   :@0.783069:0.592089:0.805340:0.592099:0.805340:0.577159:0.783069:0.577149:0.000000:0.000000:0.000000
y x:@0.805266:0.592099:0.835521:0.592099:0.835521:0.576932:0.805266:0.576932:0.000000:0.000000:0.000000
    .:@0.812579:0.592099:0.839805:0.592099:0.839805:0.576478:0.812579:0.576478:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.815892:0.592099:0.824895:0.592099:0.824895:0.576945:0.815892:0.576945:0.000000
∀:@0.740289:0.606850:0.752220:0.606850:0.752220:0.591405:0.740289:0.591405:0.000000
  ,     A,  R   :@0.752136:0.607228:0.842131:0.607228:0.842131:0.592288:0.752136:0.592288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.755567:0.607228:0.774995:0.607228:0.774995:0.592313:0.755567:0.592313:0.000000:0.000000:0.000000
[:@0.778191:0.607102:0.792130:0.607102:0.792130:0.594330:0.778191:0.594330:0.000000
x  y:@0.810939:0.607228:0.838701:0.607228:0.838701:0.592313:0.810939:0.592313:0.000000:0.000000:0.000000:0.000000
  R  .:@0.863425:0.607228:0.897288:0.607228:0.897288:0.592288:0.863425:0.592288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y  x:@0.866849:0.607228:0.894610:0.607228:0.894610:0.592313:0.866849:0.592313:0.000000:0.000000:0.000000:0.000000
Propiedad transitiva:@0.740290:0.629505:0.885596:0.629505:0.885596:0.614099:0.740290:0.614099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dados tres elementos :@0.740290:0.651782:0.887738:0.651782:0.887738:0.636843:0.740290:0.636843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del conjunto, si el primer :@0.740290:0.666911:0.906990:0.666911:0.906990:0.651972:0.740290:0.651972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elemento está relacionado :@0.740290:0.682040:0.919781:0.682040:0.919781:0.667101:0.740290:0.667101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con el segundo, y el :@0.740290:0.697169:0.875294:0.697169:0.875294:0.682229:0.740290:0.682229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundo está relacionado :@0.740290:0.712298:0.914632:0.712298:0.914632:0.697358:0.740290:0.697358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con el tercero, entonces, el :@0.740290:0.727427:0.919790:0.727427:0.919790:0.712487:0.740290:0.712487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
primero está relacionado :@0.740290:0.742556:0.908566:0.742556:0.908566:0.727616:0.740290:0.727616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con el tercero: :@0.740290:0.757685:0.837412:0.757685:0.837412:0.742745:0.740290:0.742745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si :@0.740290:0.776382:0.753560:0.776382:0.753560:0.761442:0.740290:0.761442:0.000000:0.000000:0.000000
x y y z:@0.753477:0.776382:0.827993:0.776382:0.827993:0.761215:0.753477:0.761215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.760789:0.776382:0.763868:0.776382:0.763868:0.760786:0.760789:0.760786:0.000000
R e  R:@0.763801:0.776382:0.818103:0.776382:0.818103:0.761228:0.763801:0.761228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     :@0.772737:0.776382:0.798374:0.776382:0.798374:0.760761:0.772737:0.760761:0.000000:0.000000:0.000000:0.000000:0.000000
       :@0.818036:0.776382:0.859367:0.776386:0.859367:0.760790:0.818036:0.760786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x z:@0.848975:0.776386:0.878494:0.776386:0.878494:0.761219:0.848975:0.761219:0.000000:0.000000:0.000000
R:@0.859300:0.776386:0.868303:0.776386:0.868303:0.761232:0.859300:0.761232:0.000000
 :@0.868236:0.776386:0.871616:0.776386:0.871616:0.760765:0.868236:0.760765:0.000000
∀:@0.740289:0.791136:0.752220:0.791136:0.752220:0.775692:0.740289:0.775692:0.000000
  ,  ,     A,  R  ):@0.752136:0.791515:0.862881:0.791515:0.862881:0.776575:0.752136:0.776575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.755734:0.791515:0.788599:0.791515:0.788599:0.776600:0.755734:0.776600:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.792130:0.791389:0.806070:0.791389:0.806070:0.778617:0.792130:0.778617:0.000000
(x  y    :@0.825715:0.791515:0.880508:0.791515:0.880508:0.776600:0.825715:0.776600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.880391:0.791515:0.884056:0.791515:0.884056:0.776575:0.880391:0.776575:0.000000
( R  ):@0.740295:0.806644:0.777261:0.806644:0.777261:0.791704:0.740295:0.791704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y  z  :@0.744663:0.806644:0.780206:0.806644:0.780206:0.791729:0.744663:0.791729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x  z:@0.801831:0.806644:0.832993:0.806644:0.832993:0.791729:0.801831:0.791729:0.000000:0.000000:0.000000:0.000000:0.000000
R  .:@0.814452:0.806644:0.835837:0.806644:0.835837:0.791704:0.814452:0.791704:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740294:0.182817:0.848854:0.182817:0.848854:0.165870:0.740294:0.165870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.199459:0.837769:0.199459:0.837769:0.182512:0.740294:0.182512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EBC Reconoce los números complejos como raíces no reales de una función cuadrática, y desarrolla y comprende sus propiedades.:@0.083509:0.971336:0.773434:0.971336:0.773434:0.959384:0.083509:0.959384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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