14:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Conjuntos numéricos: reales y complejos:@0.073089:0.043661:0.435822:0.043661:0.435822:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 1. El conjunto de los números reales:@0.073089:0.098522:0.690093:0.098522:0.690093:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean los números :@0.326863:0.163405:0.460830:0.163405:0.460830:0.146971:0.326863:0.146971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.474578:0.164076:0.484684:0.164076:0.484684:0.148460:0.474578:0.148460:0.000000
2:@0.499631:0.163396:0.508613:0.163396:0.508613:0.147684:0.499631:0.147684:0.000000
+:@0.511341:0.164076:0.521447:0.164076:0.521447:0.148460:0.511341:0.148460:0.000000
3;       2   32:@0.535657:0.163396:0.662044:0.163396:0.662044:0.147684:0.535657:0.147684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.561167:0.163370:0.571328:0.163370:0.576541:0.147657:0.566381:0.147657:0.000000
=:@0.581724:0.164076:0.591829:0.164076:0.591829:0.148460:0.581724:0.148460:0.000000
+:@0.615096:0.164076:0.625202:0.164076:0.625202:0.148460:0.615096:0.148460:0.000000
a:@0.464125:0.163279:0.473174:0.163279:0.473174:0.147232:0.464125:0.147232:0.000000
.:@0.663874:0.163405:0.667076:0.163405:0.667076:0.146971:0.663874:0.146971:0.000000
¿A qué conjunto de números pertenecen los números formados en   y  ?:@0.326855:0.183625:0.866788:0.183625:0.866788:0.167191:0.326855:0.167191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.825095:0.183625:0.859775:0.183625:0.859775:0.167219:0.825095:0.167219:0.000000:0.000000:0.000000
Las calculadoras de bolsillo permiten representar los números (como por ejemplo :@0.293648:0.235118:0.930873:0.235118:0.930873:0.218684:0.293648:0.218684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 ) hasta con 9 o 10 cifras decimales, pero existen programas específicos que permi-:@0.308772:0.254278:0.926911:0.253018:0.926911:0.236584:0.308772:0.237845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ten obtener  2 hasta con 32 cifras decimales.:@0.293665:0.272184:0.628970:0.272181:0.628970:0.255747:0.293665:0.255750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para comenzar este tema, es necesario precisar algunas nociones básicas. :@0.293660:0.295970:0.832453:0.295970:0.832453:0.279536:0.293660:0.279536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El signo:@0.293660:0.319754:0.355435:0.319754:0.355435:0.303320:0.293660:0.303320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.355435:0.322278:0.359466:0.322278:0.359466:0.305844:0.355435:0.305844:0.000000
ℝ:@0.364546:0.320336:0.377836:0.320336:0.377836:0.302682:0.364546:0.302682:0.000000
 representa al conjunto de los números reales. Para indicar que   es :@0.377836:0.319754:0.930956:0.319754:0.930956:0.303320:0.377836:0.303320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.894565:0.319754:0.902020:0.319754:0.902020:0.303348:0.894565:0.303348:0.000000
un número real, escribiremos   :@0.293660:0.336396:0.545085:0.336396:0.545085:0.319962:0.293660:0.319962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.533599:0.336396:0.541054:0.336396:0.541054:0.319990:0.533599:0.319990:0.000000
∈  ℝ:@0.550791:0.336978:0.590523:0.336978:0.590523:0.319324:0.550791:0.319324:0.000000:0.000000:0.000000:0.000000
 y para expresar su negación, empleamos :@0.590523:0.336396:0.930938:0.336396:0.930938:0.319962:0.590523:0.319962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.293660:0.353038:0.301115:0.353038:0.301115:0.336632:0.293660:0.336632:0.000000
 :@0.301115:0.353038:0.305146:0.353038:0.305146:0.336604:0.301115:0.336604:0.000000
∉ ℝ:@0.305146:0.353620:0.338371:0.353620:0.338371:0.335966:0.305146:0.335966:0.000000:0.000000:0.000000
 que se lee “  no es un número real”. :@0.338371:0.353038:0.602733:0.353038:0.602733:0.336604:0.338371:0.336604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.424497:0.353038:0.431952:0.353038:0.431952:0.336632:0.424497:0.336632:0.000000
Sean  ,  :@0.293660:0.376822:0.358951:0.376822:0.358951:0.360388:0.293660:0.360388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y:@0.333475:0.376822:0.354919:0.376822:0.354919:0.360415:0.333475:0.360415:0.000000:0.000000:0.000000:0.000000
∈ ℝ:@0.358951:0.377404:0.392176:0.377404:0.392176:0.359750:0.358951:0.359750:0.000000:0.000000:0.000000
. Para indicar su igualdad se escribirá   =  . Su negación será   :@0.392176:0.376822:0.843463:0.376822:0.843463:0.360388:0.392176:0.360388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.661912:0.376822:0.669367:0.376822:0.669367:0.360415:0.661912:0.360415:0.000000
y:@0.688400:0.376822:0.695873:0.376822:0.695873:0.360415:0.688400:0.360415:0.000000
x:@0.831977:0.376822:0.839432:0.376822:0.839432:0.360415:0.831977:0.360415:0.000000
≠ :@0.843463:0.377404:0.863398:0.377404:0.863398:0.359750:0.843463:0.359750:0.000000:0.000000
y.:@0.863398:0.376822:0.873540:0.376822:0.873540:0.360415:0.863398:0.360415:0.000000:0.000000
 :@0.873525:0.376822:0.877557:0.376822:0.877557:0.360388:0.873525:0.360388:0.000000
A continuación, analizaremos la clasificación de los números reales.:@0.293660:0.407761:0.783858:0.407761:0.783858:0.391328:0.293660:0.391328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto de números :@0.300775:0.450948:0.470549:0.450948:0.470549:0.434279:0.300775:0.434279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
naturales:@0.300775:0.467590:0.371084:0.467590:0.371084:0.450921:0.300775:0.450921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.370981:0.470114:0.374791:0.470114:0.374791:0.453167:0.370981:0.453167:0.000000
ℕ:@0.374717:0.468173:0.389038:0.468173:0.389038:0.450518:0.374717:0.450518:0.000000
{:@0.517168:0.459378:0.526003:0.459378:0.526003:0.436735:0.517168:0.436735:0.000000
}:@0.586140:0.459378:0.594975:0.459378:0.594975:0.436735:0.586140:0.436735:0.000000
=:@0.505298:0.455621:0.515404:0.455621:0.515404:0.440005:0.505298:0.440005:0.000000
:@0.488826:0.455121:0.502116:0.455121:0.502116:0.439020:0.488826:0.439020:0.000000
1, 2 ,3,...:@0.525901:0.454941:0.586369:0.454941:0.586369:0.439228:0.525901:0.439228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.594276:0.455680:0.597479:0.455680:0.597479:0.439246:0.594276:0.439246:0.000000
Conjunto de números :@0.300772:0.586748:0.470546:0.586748:0.470546:0.570079:0.300772:0.570079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enteros :@0.300772:0.603390:0.361945:0.603390:0.361945:0.586720:0.300772:0.586720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℤ:@0.361847:0.603973:0.374125:0.603973:0.374125:0.586318:0.361847:0.586318:0.000000
Se designa con:@0.488821:0.527420:0.600054:0.527420:0.600054:0.510986:0.488821:0.510986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.600056:0.529944:0.625760:0.529944:0.625760:0.513510:0.600056:0.513510:0.000000:0.000000:0.000000
al conjunto de los enteros positivos y se :@0.625760:0.527420:0.920715:0.527420:0.920715:0.510986:0.625760:0.510986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
define como :@0.488829:0.546336:0.586406:0.546336:0.586406:0.529902:0.488829:0.529902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.722261:0.546334:0.730324:0.546334:0.730324:0.529900:0.722261:0.529900:0.000000:0.000000
. :@0.839991:0.546334:0.847225:0.546334:0.847225:0.529900:0.839991:0.529900:0.000000:0.000000
Se designa con  al conjunto de los enteros negativos y :@0.488826:0.574914:0.903357:0.574914:0.903357:0.558480:0.488826:0.558480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se define como :@0.488829:0.596340:0.606230:0.596340:0.606230:0.579906:0.488829:0.579906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.643574:0.599380:0.652409:0.599380:0.652409:0.577519:0.643574:0.577519:0.000000
}:@0.752453:0.599380:0.761288:0.599380:0.761288:0.577519:0.752453:0.577519:0.000000
=−:@0.630187:0.596678:0.662786:0.596678:0.662786:0.581062:0.630187:0.581062:0.000000:0.000000
∈<:@0.699214:0.596678:0.740023:0.596678:0.740023:0.581062:0.699214:0.581062:0.000000:0.000000
−:@0.618459:0.588719:0.624316:0.588719:0.624316:0.579669:0.618459:0.579669:0.000000
n/n:@0.663969:0.595998:0.696792:0.595998:0.696792:0.580286:0.663969:0.580286:0.000000:0.000000:0.000000
0:@0.743344:0.595998:0.752327:0.595998:0.752327:0.580286:0.743344:0.580286:0.000000
 :@0.771891:0.596346:0.775922:0.596346:0.775922:0.579912:0.771891:0.579912:0.000000
Luego, el conjunto de los números enteros está formado :@0.488826:0.620135:0.907252:0.620135:0.907252:0.603701:0.488826:0.603701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por: :@0.488826:0.636777:0.521775:0.636777:0.521775:0.620343:0.488826:0.620343:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.488826:0.666802:0.492857:0.666802:0.492857:0.650368:0.488826:0.650368:0.000000
Conjunto de números :@0.300775:0.722554:0.470549:0.722554:0.470549:0.705885:0.300775:0.705885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racionales:@0.300775:0.739196:0.377512:0.739196:0.377512:0.722527:0.300775:0.722527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.377405:0.739196:0.400285:0.739196:0.400285:0.722249:0.377405:0.722249:0.000000:0.000000:0.000000
ℚ:@0.381141:0.739779:0.396475:0.739779:0.396475:0.722124:0.381141:0.722124:0.000000
Se define como  :@0.488842:0.732775:0.612042:0.732775:0.612042:0.716341:0.488842:0.716341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
!:@0.615004:0.732629:0.629325:0.732629:0.629325:0.716528:0.615004:0.716528:0.000000
=:@0.632528:0.733045:0.642633:0.733045:0.642633:0.714975:0.632528:0.714975:0.000000
a:@0.657525:0.723545:0.666784:0.723545:0.666784:0.707139:0.657525:0.707139:0.000000
b:@0.657322:0.742933:0.666581:0.742933:0.666581:0.726527:0.657322:0.726527:0.000000
/ ,:@0.671481:0.732449:0.694030:0.732449:0.694030:0.716015:0.671481:0.716015:0.000000:0.000000:0.000000
a b:@0.680942:0.732449:0.706823:0.732449:0.706823:0.716043:0.680942:0.716043:0.000000:0.000000:0.000000
∈:@0.710430:0.733045:0.723555:0.733045:0.723555:0.714975:0.710430:0.714975:0.000000
\:@0.726482:0.732629:0.738759:0.732629:0.738759:0.716528:0.726482:0.716528:0.000000
 con b  0 .:@0.739459:0.732449:0.828863:0.732449:0.828863:0.716015:0.739459:0.716015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≠ ⎬:@0.788275:0.733045:0.825439:0.735208:0.825439:0.717138:0.788275:0.714975:0.000000:0.000000:0.000000
⎧:@0.646502:0.725320:0.655595:0.725320:0.655595:0.707250:0.646502:0.707250:0.000000
⎨:@0.646502:0.735208:0.655595:0.735208:0.655595:0.717138:0.646502:0.717138:0.000000
⎩:@0.646502:0.745097:0.655595:0.745097:0.655595:0.727026:0.646502:0.727026:0.000000
⎫:@0.816346:0.725320:0.825439:0.725320:0.825439:0.707250:0.816346:0.707250:0.000000
⎭:@0.816346:0.745097:0.825439:0.745097:0.825439:0.727026:0.816346:0.727026:0.000000
Conjunto de números :@0.300775:0.793016:0.470549:0.793016:0.470549:0.776347:0.300775:0.776347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
irracionales :@0.300775:0.809658:0.391589:0.809658:0.391589:0.792988:0.300775:0.792988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℚ:@0.391468:0.810240:0.406801:0.810240:0.406801:0.792586:0.391468:0.792586:0.000000
  :@0.406801:0.809658:0.414422:0.809658:0.414422:0.792711:0.406801:0.792711:0.000000:0.000000
En forma conjuntista, se define como el conjunto de :@0.488824:0.783988:0.875868:0.783988:0.875868:0.767554:0.488824:0.767554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales menos el conjunto de números racionales. :@0.488824:0.800630:0.920006:0.800630:0.920006:0.784196:0.488824:0.784196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ  ℚ:@0.488824:0.820531:0.532486:0.820531:0.532486:0.802876:0.488824:0.802876:0.000000:0.000000:0.000000:0.000000
\  .:@0.506716:0.819948:0.535689:0.819948:0.535689:0.803514:0.506716:0.803514:0.000000:0.000000:0.000000:0.000000
 :@0.535689:0.816162:0.539720:0.816162:0.539720:0.799728:0.535689:0.799728:0.000000
Conjunto de números :@0.300775:0.863478:0.470549:0.863478:0.470549:0.846808:0.300775:0.846808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales :@0.300775:0.880120:0.349017:0.880120:0.349017:0.863450:0.300775:0.863450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.348910:0.880702:0.362200:0.880702:0.362200:0.863048:0.348910:0.863048:0.000000
Se define en forma de conjunto como:@0.488824:0.859900:0.767966:0.859900:0.767966:0.843466:0.488824:0.843466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.078581:0.293213:0.187141:0.293213:0.187141:0.276266:0.078581:0.276266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.309855:0.176057:0.309855:0.176057:0.292908:0.078581:0.292908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El conjunto de números :@0.084157:0.339280:0.247645:0.339280:0.247645:0.324341:0.084157:0.324341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales es mucho más :@0.084157:0.354409:0.227014:0.354409:0.227014:0.339469:0.084157:0.339469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grande que el conjunto :@0.084157:0.369538:0.244984:0.369538:0.244984:0.354598:0.084157:0.354598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los números enteros :@0.084157:0.384667:0.244466:0.384667:0.244466:0.369727:0.084157:0.369727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y que el conjunto de los :@0.084157:0.399796:0.247896:0.399796:0.247896:0.384856:0.084157:0.384856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números racionales  . De :@0.084157:0.414925:0.261151:0.414925:0.261151:0.399985:0.084157:0.399985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℚ:@0.217927:0.415455:0.231867:0.415455:0.231867:0.399405:0.217927:0.399405:0.000000
tal manera que:@0.084157:0.430054:0.184794:0.430054:0.184794:0.415114:0.084157:0.415114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.184794:0.433836:0.188459:0.433836:0.188459:0.418896:0.184794:0.418896:0.000000
ℕ⊂ℤ⊂ℚ⊂ℝ:@0.084157:0.445712:0.176176:0.445712:0.176176:0.429663:0.084157:0.429663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.176176:0.445183:0.179088:0.445183:0.179088:0.430243:0.176176:0.430243:0.000000
Números reales R:@0.119645:0.467811:0.217328:0.467811:0.217328:0.455789:0.119645:0.455789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Números racionales Q:@0.108834:0.549325:0.232214:0.549325:0.232214:0.537303:0.108834:0.537303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Números irrracionales I:@0.106418:0.485203:0.236692:0.485203:0.236692:0.473182:0.106418:0.473182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Números enteros Z:@0.117543:0.594902:0.224471:0.594902:0.224471:0.582881:0.117543:0.582881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Números:@0.155684:0.612846:0.207091:0.612846:0.207091:0.600825:0.155684:0.600825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
naturales N:@0.149260:0.623776:0.213528:0.623776:0.213528:0.611754:0.149260:0.611754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.126657:0.500048:0.134688:0.500048:0.134688:0.488224:0.126657:0.488224:0.000000
:@0.159014:0.496408:0.165555:0.496408:0.165555:0.484584:0.159014:0.484584:0.000000
:@0.192937:0.504426:0.201307:0.504426:0.201307:0.492601:0.192937:0.492601:0.000000
2:@0.137025:0.522999:0.143723:0.522999:0.143723:0.511175:0.137025:0.511175:0.000000
2:@0.120298:0.575050:0.126997:0.575050:0.126997:0.563225:0.120298:0.563225:0.000000
5:@0.119933:0.615404:0.126631:0.615404:0.126631:0.603579:0.119933:0.603579:0.000000
1 _:@0.120298:0.561907:0.126973:0.564320:0.126973:0.552495:0.120298:0.550082:0.000000:0.000000:0.000000
109:@0.185102:0.522153:0.205198:0.522153:0.205198:0.510329:0.185102:0.510329:0.000000:0.000000:0.000000
-:@0.173810:0.523406:0.177819:0.523406:0.177819:0.511581:0.173810:0.511581:0.000000
_ 205:@0.144954:0.564320:0.178807:0.562405:0.178807:0.550581:0.144954:0.552495:0.000000:0.000000:0.000000:0.000000:0.000000
_:@0.110012:0.611265:0.116541:0.611265:0.116541:0.599440:0.110012:0.599440:0.000000
1:@0.119909:0.635515:0.126608:0.635515:0.126608:0.623690:0.119909:0.623690:0.000000
1:@0.156000:0.638564:0.162699:0.638564:0.162699:0.626740:0.156000:0.626740:0.000000
13:@0.165780:0.650370:0.179177:0.650370:0.179177:0.638545:0.165780:0.638545:0.000000:0.000000
20:@0.198045:0.650370:0.211442:0.650370:0.211442:0.638545:0.198045:0.638545:0.000000:0.000000
8:@0.191007:0.638564:0.197706:0.638564:0.197706:0.626740:0.191007:0.626740:0.000000
_:@0.110012:0.631373:0.116541:0.631373:0.116541:0.619548:0.110012:0.619548:0.000000
_:@0.202289:0.556401:0.208817:0.556401:0.208817:0.544576:0.202289:0.544576:0.000000
_:@0.156923:0.564319:0.179772:0.564319:0.179772:0.552494:0.156923:0.552494:0.000000
98:@0.162067:0.575263:0.175464:0.575263:0.175464:0.563438:0.162067:0.563438:0.000000:0.000000
0,3:@0.193536:0.566036:0.209636:0.566036:0.209636:0.554211:0.193536:0.554211:0.000000:0.000000:0.000000
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