14:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Estructura algebraica y orden en los números reales:@0.073089:0.043661:0.532427:0.043661:0.532427:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.1 Introducción:@0.293660:0.223146:0.422222:0.223146:0.422222:0.206199:0.293660:0.206199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el diagrama que sigue se muestran cuatro pilares con los que se edifica la matemática :@0.293660:0.258662:0.930490:0.258662:0.930490:0.242949:0.293660:0.242949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y que actúan en forma cooperativa e inseparable.:@0.293660:0.276316:0.651377:0.276316:0.651377:0.260604:0.293660:0.260604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Lógica matemática:@0.385434:0.328635:0.523742:0.328635:0.523742:0.312922:0.385434:0.312922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistema de :@0.414823:0.388216:0.498274:0.388216:0.498274:0.372504:0.414823:0.372504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los números reales:@0.387047:0.404858:0.522143:0.404858:0.522143:0.389145:0.387047:0.389145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjuntos:@0.728424:0.328635:0.803677:0.328635:0.803677:0.312922:0.728424:0.312922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Funciones:@0.728885:0.396537:0.803224:0.396537:0.803224:0.380824:0.728885:0.380824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el esquema se observa que el sistema de los números reales interviene e interactúa :@0.293660:0.442753:0.931346:0.442753:0.931346:0.427041:0.293660:0.427041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con los otros componentes. Por tanto, esta estructura es una de las más importantes en :@0.293660:0.460404:0.931372:0.460404:0.931372:0.444691:0.293660:0.444691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática y es la que nos proponemos estudiar en esta unidad. Es preciso señalar que, :@0.293660:0.478058:0.931436:0.478058:0.931436:0.462345:0.293660:0.462345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en noveno grado, ya se inició el estudio de las propiedades algebraicas y del orden de los :@0.293660:0.495712:0.930560:0.495712:0.930560:0.480000:0.293660:0.480000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales. En esta unidad, entonces, revisaremos algunos temas ya tratados en el :@0.293660:0.513367:0.930441:0.513367:0.930441:0.497654:0.293660:0.497654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ámbito de los números enteros y racionales, además de profundizar en su estudio.:@0.293660:0.531021:0.888312:0.531021:0.888312:0.515308:0.293660:0.515308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para comenzar, es importante establecer algunas nociones básicas. El signo   designa al :@0.293660:0.566537:0.931004:0.566537:0.931004:0.550825:0.293660:0.550825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.837263:0.565677:0.850553:0.565677:0.850553:0.552780:0.837263:0.552780:0.000000
conjunto de los números reales; sus elementos se llaman números reales. Este conjunto :@0.293660:0.584191:0.931418:0.584191:0.931418:0.568479:0.293660:0.568479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es mucho más grande que el conjunto de los números enteros y que el conjunto de los :@0.293660:0.601846:0.931254:0.601846:0.931254:0.586133:0.293660:0.586133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números racionales. De esta forma, tenemos :@0.293660:0.619500:0.621085:0.619500:0.621085:0.603787:0.293660:0.603787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N :@0.621144:0.618640:0.639974:0.618640:0.639974:0.605743:0.621144:0.605743:0.000000:0.000000
,:@0.640324:0.619361:0.655657:0.619361:0.655657:0.605313:0.640324:0.605313:0.000000
 :@0.655565:0.619500:0.659596:0.619500:0.659596:0.603787:0.655565:0.603787:0.000000
Z :@0.659909:0.618640:0.676697:0.618640:0.676697:0.605743:0.659909:0.605743:0.000000:0.000000
, :@0.677046:0.619361:0.696889:0.619361:0.696889:0.605313:0.677046:0.605313:0.000000:0.000000
Q :@0.697239:0.618640:0.717082:0.618640:0.717082:0.605743:0.697239:0.605743:0.000000:0.000000
, :@0.717432:0.619361:0.737275:0.619361:0.737275:0.605313:0.717432:0.605313:0.000000:0.000000
R:@0.737625:0.618640:0.750915:0.618640:0.750915:0.605743:0.737625:0.605743:0.000000
. Ahora bien, en relación :@0.750823:0.619500:0.931098:0.619500:0.931098:0.603787:0.750823:0.603787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con nuestro estudio, y tal como en los conjuntos de los números enteros   y de los :@0.293660:0.637154:0.930901:0.637154:0.930901:0.621441:0.293660:0.621441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Z:@0.850958:0.636294:0.863236:0.636294:0.863236:0.623397:0.850958:0.623397:0.000000
números racionales  , se definieron las dos operaciones de adición “ ” y de producto :@0.293660:0.654808:0.930978:0.654808:0.930978:0.639096:0.293660:0.639096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.441544:0.653948:0.456877:0.653948:0.456877:0.641051:0.441544:0.641051:0.000000
1:@0.798939:0.654254:0.814272:0.654254:0.814272:0.640538:0.798939:0.640538:0.000000
“ ” y se estudiaron algunas propiedades algebraicas importantes, en el conjunto de los :@0.293660:0.672462:0.931387:0.672462:0.931387:0.656750:0.293660:0.656750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.298980:0.671908:0.314313:0.671908:0.314313:0.658192:0.298980:0.658192:0.000000
números reales   se definirán las operaciones de adición “ ” y de producto “ ”, con las :@0.293660:0.690117:0.930986:0.690117:0.930986:0.674404:0.293660:0.674404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.408908:0.689257:0.422198:0.689257:0.422198:0.676359:0.408908:0.676359:0.000000
1:@0.715959:0.689562:0.731293:0.689562:0.731293:0.675846:0.715959:0.675846:0.000000
3:@0.850424:0.689562:0.865758:0.689562:0.865758:0.675846:0.850424:0.675846:0.000000
que se obtendrá una estructura algebraica de cuerpo (llamada también de campo). Por :@0.293679:0.707771:0.931462:0.707771:0.931462:0.692058:0.293679:0.692058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otra parte, así como en el conjunto de los números enteros   y de los números racionales :@0.293679:0.725425:0.931026:0.725425:0.931026:0.709712:0.293679:0.709712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Z:@0.714855:0.724565:0.727133:0.724565:0.727133:0.711668:0.714855:0.711668:0.000000
Q:@0.293679:0.742220:0.309012:0.742220:0.309012:0.729322:0.293679:0.729322:0.000000
 se definieron las relaciones de orden de “menor que  ”, “mayor que  ”, “menor o igual :@0.308920:0.743079:0.931035:0.743079:0.931035:0.727367:0.308920:0.727367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.687796:0.742525:0.703129:0.742525:0.703129:0.728809:0.687796:0.728809:0.000000
.:@0.797651:0.742525:0.812984:0.742525:0.812984:0.728809:0.797651:0.728809:0.000000
que  ” y “mayor o igual que  ”, en el conjunto de los números reales   se procederá de :@0.293679:0.760734:0.931022:0.760734:0.931022:0.745021:0.293679:0.745021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
#:@0.325910:0.760179:0.341243:0.760179:0.341243:0.746463:0.325910:0.746463:0.000000
$:@0.498514:0.760179:0.513848:0.760179:0.513848:0.746463:0.498514:0.746463:0.000000
R:@0.793528:0.759874:0.806818:0.759874:0.806818:0.746976:0.793528:0.746976:0.000000
forma similar. A esta estructura resultante se la denominará :@0.293679:0.778388:0.739484:0.778388:0.739484:0.762675:0.293679:0.762675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuerpo ordenado de los :@0.740570:0.778388:0.930794:0.778388:0.930794:0.761718:0.740570:0.761718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales:@0.293679:0.796042:0.412950:0.796042:0.412950:0.779372:0.293679:0.779372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Entonces, en este apartado, nos proponemos estudiar propiedades :@0.413123:0.796042:0.930982:0.796042:0.930982:0.780329:0.413123:0.780329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
básicas de esta estructura, para que podamos realizar cálculos en una variedad :@0.293679:0.813696:0.930870:0.813696:0.930870:0.797984:0.293679:0.797984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inconmensurable  de  situaciones,  como,  por  ejemplo,  construir  otras estructuras :@0.293679:0.831350:0.930656:0.831350:0.930656:0.815638:0.293679:0.815638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algebraicas que serán tratadas más adelante.:@0.293679:0.849005:0.617208:0.849005:0.617208:0.833292:0.293679:0.833292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para indicar que   es un número real, escribimos:@0.293679:0.884521:0.654932:0.884521:0.654932:0.868808:0.293679:0.868808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.418498:0.884521:0.425953:0.884521:0.425953:0.869086:0.418498:0.869086:0.000000
 :@0.655031:0.883966:0.659633:0.883966:0.659633:0.870251:0.655031:0.870251:0.000000
x :@0.660609:0.884521:0.671432:0.884521:0.671432:0.869086:0.660609:0.869086:0.000000:0.000000
[:@0.672150:0.884382:0.687483:0.884382:0.687483:0.870334:0.672150:0.870334:0.000000
 :@0.687575:0.883966:0.692177:0.883966:0.692177:0.870251:0.687575:0.870251:0.000000
R:@0.693153:0.883661:0.706443:0.883661:0.706443:0.870764:0.693153:0.870764:0.000000
, y para expresar su negación, :@0.706535:0.884521:0.930941:0.884521:0.930941:0.868808:0.706535:0.868808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
empleamos :@0.293679:0.902175:0.384132:0.902175:0.384132:0.886463:0.293679:0.886463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.383985:0.902175:0.391439:0.902175:0.391439:0.886740:0.383985:0.886740:0.000000
 :@0.391366:0.901621:0.395968:0.901621:0.395968:0.887905:0.391366:0.887905:0.000000
Ó :@0.395876:0.902037:0.415719:0.902037:0.415719:0.887988:0.395876:0.887988:0.000000:0.000000
R:@0.415627:0.901315:0.428917:0.901315:0.428917:0.888418:0.415627:0.888418:0.000000
, que se lee “  no es un número real”.:@0.428825:0.902175:0.689519:0.902175:0.689519:0.886463:0.428825:0.886463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.517032:0.902175:0.524487:0.902175:0.524487:0.886740:0.517032:0.886740:0.000000
Sean   :@0.293679:0.937692:0.347756:0.937621:0.347756:0.921909:0.293679:0.921979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x,y :@0.333088:0.937692:0.356658:0.937621:0.356658:0.922186:0.333088:0.922256:0.000000:0.000000:0.000000:0.000000
[:@0.356603:0.937483:0.371936:0.937483:0.371936:0.923434:0.356603:0.923434:0.000000
 :@0.371844:0.937067:0.376446:0.937067:0.376446:0.923351:0.371844:0.923351:0.000000
R:@0.376354:0.936762:0.389644:0.936762:0.389644:0.923864:0.376354:0.923864:0.000000
, para indicar la igualdad de  y de  se escribe     y su negación      .:@0.389552:0.937621:0.903471:0.937621:0.903471:0.921909:0.389552:0.921909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.587927:0.937621:0.598621:0.937621:0.598621:0.922186:0.587927:0.922186:0.000000:0.000000
 y:@0.631522:0.937621:0.642235:0.937621:0.642235:0.922186:0.631522:0.922186:0.000000:0.000000
 x:@0.717649:0.937621:0.728344:0.937621:0.728344:0.922186:0.717649:0.922186:0.000000:0.000000
5:@0.730496:0.937067:0.745829:0.937067:0.745829:0.923351:0.730496:0.923351:0.000000
y, :@0.747958:0.937621:0.761274:0.937621:0.761274:0.922186:0.747958:0.922186:0.000000:0.000000:0.000000
x:@0.865801:0.937621:0.873256:0.937621:0.873256:0.922186:0.865801:0.922186:0.000000
±:@0.875406:0.938162:0.890740:0.938162:0.890740:0.922990:0.875406:0.922990:0.000000
y:@0.892868:0.937621:0.900341:0.937621:0.900341:0.922186:0.892868:0.922186:0.000000
Tema 1. Números reales: estructura algebraica:@0.073089:0.099416:0.757427:0.099416:0.757427:0.068175:0.073089:0.068175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo está conformado el conjunto de los números reales?:@0.293660:0.167374:0.719954:0.167374:0.719954:0.151661:0.293660:0.151661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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
Números reales :@0.145900:0.130437:0.183868:0.130437:0.183868:0.125277:0.145900:0.125277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.183868:0.130171:0.187982:0.130171:0.187982:0.126178:0.183868:0.126178:0.000000
Números irracionales :@0.101910:0.140886:0.153193:0.140886:0.153193:0.135726:0.101910:0.135726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I:@0.153193:0.140620:0.155091:0.140620:0.155091:0.136628:0.153193:0.136628:0.000000
Números reales :@0.184055:0.140886:0.222023:0.140886:0.222023:0.135726:0.184055:0.135726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.222023:0.140620:0.226770:0.140620:0.226770:0.136628:0.222023:0.136628:0.000000
Números naturales :@0.186055:0.170887:0.232108:0.170887:0.232108:0.165726:0.186055:0.165726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N:@0.232108:0.170620:0.236541:0.170620:0.236541:0.166628:0.232108:0.166628:0.000000
Números enteros :@0.184078:0.162811:0.226074:0.162811:0.226074:0.157651:0.184078:0.157651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.226074:0.162545:0.229242:0.162545:0.229242:0.158553:0.226074:0.158553:0.000000
p:@0.109095:0.157982:0.113982:0.157982:0.113982:0.152523:0.109095:0.152523:0.000000
Ï:@0.105234:0.181209:0.112560:0.181209:0.112560:0.174182:0.105234:0.174182:0.000000
2:@0.112560:0.180977:0.116319:0.180977:0.116319:0.174342:0.112560:0.174342:0.000000
2:@0.130275:0.180756:0.136378:0.180756:0.136378:0.175297:0.130275:0.175297:0.000000
Ï:@0.136378:0.181209:0.143704:0.181209:0.143704:0.174182:0.136378:0.174182:0.000000
100:@0.143704:0.180977:0.154979:0.180977:0.154979:0.174342:0.143704:0.174342:0.000000:0.000000:0.000000
e:@0.129740:0.157982:0.132993:0.157982:0.132993:0.152523:0.129740:0.152523:0.000000
\:@0.147646:0.158147:0.153748:0.158147:0.153748:0.152556:0.147646:0.152556:0.000000
1:@0.182686:0.148334:0.186445:0.148334:0.186445:0.141699:0.182686:0.141699:0.000000
2:@0.190870:0.151270:0.196972:0.151270:0.196972:0.145811:0.190870:0.145811:0.000000
205:@0.198489:0.148334:0.209764:0.148334:0.209764:0.141699:0.198489:0.141699:0.000000:0.000000:0.000000
0,3:@0.219061:0.151082:0.228094:0.151082:0.228094:0.144448:0.219061:0.144448:0.000000:0.000000:0.000000
2:@0.182686:0.154692:0.186445:0.154692:0.186445:0.148058:0.182686:0.148058:0.000000
1:@0.198020:0.179304:0.201778:0.179304:0.201778:0.172670:0.198020:0.172670:0.000000
8:@0.214050:0.179304:0.217808:0.179304:0.217808:0.172670:0.214050:0.172670:0.000000
13 20:@0.203976:0.185481:0.223361:0.185481:0.223361:0.178846:0.203976:0.178846:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.171697:0.172013:0.177800:0.172013:0.177800:0.166554:0.171697:0.166554:0.000000
5:@0.177800:0.172234:0.181558:0.172234:0.181558:0.165599:0.177800:0.165599:0.000000
2:@0.171697:0.181457:0.177800:0.181457:0.177800:0.175998:0.171697:0.175998:0.000000
1:@0.177800:0.181678:0.181558:0.181678:0.181558:0.175043:0.177800:0.175043:0.000000
98:@0.200364:0.154698:0.207881:0.154698:0.207881:0.148063:0.200364:0.148063:0.000000:0.000000
Las soluciones de :@0.087319:0.332490:0.206563:0.332490:0.206563:0.318206:0.087319:0.318206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas matemáticos :@0.087319:0.347619:0.251699:0.347619:0.251699:0.333335:0.087319:0.333335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la vida real han :@0.087319:0.362748:0.210106:0.362748:0.210106:0.348464:0.087319:0.348464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
servido y sirven, :@0.087319:0.377877:0.196071:0.377877:0.196071:0.363593:0.087319:0.363593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en forma directa o :@0.087319:0.393006:0.212079:0.393006:0.212079:0.378721:0.087319:0.378721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indirecta, para mejorar :@0.087319:0.408135:0.239233:0.408135:0.239233:0.393850:0.087319:0.393850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las condiciones de :@0.087319:0.423264:0.212907:0.423264:0.212907:0.408979:0.087319:0.408979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vida de los pueblos. :@0.087319:0.438393:0.221267:0.438393:0.221267:0.424108:0.087319:0.424108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una parte de esta se :@0.087319:0.453522:0.225492:0.453522:0.225492:0.439237:0.087319:0.439237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
refleja en maquinaria, :@0.087319:0.468650:0.232455:0.468650:0.232455:0.454366:0.087319:0.454366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equipos, instrumentos, :@0.087319:0.483779:0.241334:0.483779:0.241334:0.469495:0.087319:0.469495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
productos y tecnología, :@0.087319:0.498908:0.246858:0.498908:0.246858:0.484624:0.087319:0.484624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y otra parte se muestra :@0.087319:0.514037:0.242529:0.514037:0.242529:0.499753:0.087319:0.499753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la organización, :@0.087319:0.529166:0.214271:0.529166:0.214271:0.514882:0.087319:0.514882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
planificación y ejecución :@0.087319:0.544295:0.253687:0.544295:0.253687:0.530011:0.087319:0.530011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de obras y proyectos de :@0.087319:0.559424:0.248886:0.559424:0.248886:0.545140:0.087319:0.545140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desarrollo comunitario.:@0.087319:0.574553:0.239507:0.574553:0.239507:0.560269:0.087319:0.560269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.078584:0.268015:0.230328:0.268015:0.230328:0.252609:0.078584:0.252609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática  :@0.078584:0.283144:0.164077:0.283144:0.164077:0.268860:0.078584:0.268860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y tecnología:@0.078584:0.298273:0.159897:0.298273:0.159897:0.283989:0.078584:0.283989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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