14:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000 Ejercicio resuelto:@0.404235:0.105481:0.522213:0.105481:0.522213:0.088694:0.404235:0.088694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Cómo se comprende el número real 2 + ?:@0.404235:0.122455:0.725137:0.122462:0.725137:0.105964:0.404235:0.105958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 π:@0.709898:0.122577:0.719434:0.122577:0.719434:0.106109:0.709898:0.106109:0.000000 • :@0.404235:0.157872:0.416372:0.157872:0.416372:0.140680:0.404235:0.140680:0.000000:0.000000 Una aproximación de 2 es 1,414 21 y una de es 3,141 59.:@0.427970:0.157163:0.846699:0.157157:0.846699:0.140659:0.427970:0.140666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 π:@0.753879:0.157273:0.763415:0.157273:0.763415:0.140804:0.753879:0.140804:0.000000 Luego,:@0.427968:0.174508:0.473935:0.174508:0.473935:0.158010:0.427968:0.158010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 + se aproxima como la suma de :@0.488032:0.175063:0.746437:0.174514:0.746437:0.158016:0.488032:0.158566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 π:@0.517064:0.174630:0.526601:0.174630:0.526601:0.158161:0.517064:0.158161:0.000000 :@0.404228:0.191865:0.408370:0.191865:0.408370:0.175367:0.404228:0.175367:0.000000 1,414 21 + 3,141 59 = 4,555 8.:@0.427963:0.191865:0.634024:0.191865:0.634024:0.175367:0.427963:0.175367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • :@0.404228:0.227275:0.416365:0.227275:0.416365:0.210083:0.404228:0.210083:0.000000:0.000000 Otra aproximación de 2 es 1,414 213 56 y la de π es 3,141 592 65.:@0.427963:0.226566:0.891817:0.226566:0.891817:0.210069:0.427963:0.210069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Luego,:@0.427969:0.243917:0.473936:0.243917:0.473936:0.227419:0.427969:0.227419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 + se aproxima como la suma de:@0.488032:0.244466:0.742295:0.243917:0.742295:0.227419:0.488032:0.227969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 π:@0.517064:0.244033:0.526601:0.244033:0.526601:0.227564:0.517064:0.227564:0.000000 :@0.404228:0.261268:0.408370:0.261268:0.408370:0.244770:0.404228:0.244770:0.000000 1,414 213 56 + 3,141 592 65 = 4,555 806 21.:@0.427963:0.261268:0.731410:0.261268:0.731410:0.244770:0.427963:0.244770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Así, 2 + se interpreta como el único resultado de todas las :@0.427963:0.278619:0.895916:0.278619:0.895916:0.262121:0.427963:0.262121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 π:@0.503116:0.278734:0.512653:0.278734:0.512653:0.262265:0.503116:0.262265:0.000000 aproximaciones + :@0.427982:0.298731:0.597092:0.298729:0.597092:0.282231:0.427982:0.282233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 r:@0.544094:0.298847:0.550124:0.298847:0.550124:0.282378:0.544094:0.282378:0.000000 m:@0.550118:0.302007:0.558800:0.302007:0.558800:0.292389:0.550118:0.292389:0.000000 s:@0.577892:0.298845:0.584269:0.298845:0.584269:0.282376:0.577892:0.282376:0.000000 m:@0.584269:0.302007:0.592951:0.302007:0.592951:0.292389:0.584269:0.292389:0.000000  :@0.597093:0.298210:0.616143:0.298210:0.616143:0.284837:0.597093:0.284837:0.000000:0.000000 Q:@0.616142:0.297760:0.632190:0.297760:0.632190:0.284313:0.616142:0.284313:0.000000 de 2 + siendo:@0.631998:0.298729:0.760654:0.298735:0.760654:0.282238:0.631998:0.282231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 π, :@0.697117:0.298851:0.713647:0.298851:0.713647:0.282382:0.697117:0.282382:0.000000:0.000000:0.000000 :@0.404228:0.318848:0.408370:0.318848:0.408370:0.302350:0.404228:0.302350:0.000000 r:@0.427963:0.318963:0.433993:0.318963:0.433993:0.302495:0.427963:0.302495:0.000000 m:@0.434007:0.322124:0.442689:0.322124:0.442689:0.312506:0.434007:0.312506:0.000000 una de tales aproximaciones de 2 , al igual que:@0.442690:0.318846:0.785555:0.318852:0.785555:0.302354:0.442690:0.302348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.404238:0.338965:0.408380:0.338965:0.408380:0.322467:0.404238:0.322467:0.000000 s:@0.427973:0.339080:0.434349:0.339080:0.434349:0.322611:0.427973:0.322611:0.000000 m:@0.434354:0.342241:0.443036:0.342241:0.443036:0.332622:0.434354:0.332622:0.000000 es una aproximación de .:@0.443036:0.338963:0.632778:0.338963:0.632778:0.322465:0.443036:0.322465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 π:@0.620487:0.339078:0.630023:0.339078:0.630023:0.322610:0.620487:0.322610:0.000000 Operaciones y propiedades en números reales :@0.404235:0.375062:0.794400:0.375062:0.794400:0.357379:0.404235:0.357379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.776288:0.373450:0.790198:0.373450:0.790198:0.360003:0.776288:0.360003:0.000000 En el conjunto de los números reales se introducen dos operacio-:@0.404235:0.391769:0.891798:0.391769:0.891798:0.375272:0.404235:0.375272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.672099:0.390801:0.686008:0.390801:0.686008:0.377354:0.672099:0.377354:0.000000 nes: adición “+”, y producto “ • ”, que se definen a continuación.:@0.404235:0.409120:0.851046:0.409120:0.851046:0.392622:0.404235:0.392622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Adición: :@0.404235:0.444284:0.472567:0.444284:0.472567:0.427338:0.404235:0.427338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 es la función denotada “+” y definida como::@0.472567:0.443822:0.783793:0.443822:0.783793:0.427324:0.472567:0.427324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 + : :@0.404235:0.489772:0.426081:0.489772:0.426081:0.473274:0.404235:0.473274:0.000000:0.000000:0.000000:0.000000 R R:@0.434096:0.467997:0.477198:0.468000:0.477198:0.454553:0.434096:0.454550:0.000000:0.000000:0.000000  :@0.448009:0.467130:0.463523:0.467130:0.463523:0.458426:0.448009:0.458426:0.000000:0.000000:0.000000 .:@0.477198:0.468969:0.519504:0.468969:0.519504:0.452471:0.477198:0.452471:0.000000:0.000000:0.000000:0.000000:0.000000 →:@0.481339:0.468186:0.498700:0.468186:0.498700:0.452014:0.481339:0.452014:0.000000 R:@0.502840:0.468000:0.516749:0.468000:0.516749:0.454553:0.502840:0.454553:0.000000 (:@0.434102:0.493448:0.440054:0.493448:0.440054:0.476950:0.434102:0.476950:0.000000 x, y:@0.440054:0.493564:0.462325:0.493564:0.462325:0.477095:0.440054:0.477095:0.000000:0.000000:0.000000:0.000000 ) + .:@0.462325:0.493448:0.530926:0.493449:0.530926:0.476951:0.462325:0.476950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 →:@0.472417:0.492666:0.489778:0.492666:0.489778:0.476494:0.472417:0.476494:0.000000 x y:@0.493918:0.493564:0.528171:0.493564:0.528171:0.477095:0.493918:0.477095:0.000000:0.000000:0.000000 Nota que de la definición de la operación adición, se tiene :@0.404235:0.517816:0.820782:0.517816:0.820782:0.501319:0.404235:0.501319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.404235:0.535283:0.426293:0.535283:0.426293:0.518814:0.404235:0.518814:0.000000:0.000000:0.000000 , :@0.411709:0.535167:0.430435:0.535167:0.430435:0.518669:0.411709:0.518669:0.000000:0.000000:0.000000:0.000000  :@0.430434:0.534648:0.449484:0.534648:0.449484:0.521275:0.430434:0.521275:0.000000:0.000000 R :@0.449484:0.534198:0.468210:0.534198:0.468210:0.520751:0.449484:0.520751:0.000000:0.000000 ⇒:@0.468209:0.534384:0.485570:0.534384:0.485570:0.518212:0.468209:0.518212:0.000000 x y:@0.485567:0.535283:0.523963:0.535283:0.523963:0.518814:0.485567:0.518814:0.000000:0.000000:0.000000:0.000000 + :@0.497184:0.535167:0.528105:0.535167:0.528105:0.518669:0.497184:0.518669:0.000000:0.000000:0.000000:0.000000:0.000000  :@0.528103:0.534648:0.547153:0.534648:0.547153:0.521275:0.528103:0.521275:0.000000:0.000000 R:@0.547154:0.534198:0.561064:0.534198:0.561064:0.520751:0.547154:0.520751:0.000000 . En este caso se dice que la suma de números :@0.561064:0.535167:0.889648:0.535167:0.889648:0.518669:0.561064:0.518669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 reales es cerrada o conocida como propiedad clausurativa.:@0.404225:0.552518:0.818001:0.552518:0.818001:0.536020:0.404225:0.536020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Producto: :@0.404225:0.587682:0.484504:0.587682:0.484504:0.570736:0.404225:0.570736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 es la función denotada “ • ” y definida como: :@0.484504:0.587219:0.802685:0.587219:0.802685:0.570722:0.484504:0.570722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • : :@0.404225:0.617135:0.428885:0.617135:0.428885:0.600637:0.404225:0.600637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R R:@0.436899:0.611395:0.480011:0.611399:0.480011:0.597952:0.436899:0.597948:0.000000:0.000000:0.000000  :@0.450821:0.610529:0.466336:0.610529:0.466336:0.601825:0.450821:0.601825:0.000000:0.000000:0.000000 .:@0.480011:0.612368:0.522317:0.612368:0.522317:0.595870:0.480011:0.595870:0.000000:0.000000:0.000000:0.000000:0.000000 →:@0.484152:0.611585:0.501513:0.611585:0.501513:0.595413:0.484152:0.595413:0.000000 R:@0.505653:0.611399:0.519562:0.611399:0.519562:0.597952:0.505653:0.597952:0.000000 (:@0.436914:0.636847:0.442867:0.636847:0.442867:0.620349:0.436914:0.620349:0.000000 x, y:@0.442867:0.636963:0.465138:0.636963:0.465138:0.620494:0.442867:0.620494:0.000000:0.000000:0.000000:0.000000 ) • .:@0.465138:0.636847:0.528266:0.636846:0.528266:0.620349:0.465138:0.620349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 →:@0.475229:0.636064:0.492591:0.636064:0.492591:0.619892:0.475229:0.619892:0.000000 x y:@0.496729:0.636962:0.525511:0.636962:0.525511:0.620493:0.496729:0.620493:0.000000:0.000000:0.000000:0.000000:0.000000 De la definición de la operación producto, tenemos , :@0.404235:0.662528:0.769619:0.662528:0.769619:0.646030:0.404235:0.646030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.745576:0.662644:0.766152:0.662644:0.766152:0.646175:0.745576:0.646175:0.000000:0.000000:0.000000  :@0.769465:0.662009:0.787900:0.662009:0.787900:0.648636:0.769465:0.648636:0.000000:0.000000 R :@0.787846:0.661559:0.805898:0.661559:0.805898:0.648112:0.787846:0.648112:0.000000:0.000000 ⇒ :@0.805840:0.661745:0.826983:0.661745:0.826983:0.645573:0.805840:0.645573:0.000000:0.000000 x y:@0.826928:0.662644:0.854082:0.662644:0.854082:0.646175:0.826928:0.646175:0.000000:0.000000:0.000000 • :@0.833728:0.662528:0.857540:0.662528:0.857540:0.646030:0.833728:0.646030:0.000000:0.000000:0.000000:0.000000:0.000000  :@0.857397:0.662009:0.875831:0.662009:0.875831:0.648636:0.857397:0.648636:0.000000:0.000000 R:@0.875779:0.661559:0.889689:0.661559:0.889689:0.648112:0.875779:0.648112:0.000000 . :@0.889015:0.662528:0.895911:0.662528:0.895911:0.646030:0.889015:0.646030:0.000000:0.000000 :@0.891769:0.662528:0.895911:0.662528:0.895911:0.646030:0.891769:0.646030:0.000000 Entonces, se dice que la multiplicación de números reales es cerrada.:@0.404243:0.679879:0.889469:0.679879:0.889469:0.663381:0.404243:0.663381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Propiedades:@0.404235:0.715978:0.503621:0.715978:0.503621:0.698295:0.404235:0.698295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Adición:@0.404235:0.733148:0.464515:0.733148:0.464515:0.716202:0.404235:0.716202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1.:@0.404235:0.750253:0.416506:0.750253:0.416506:0.733538:0.404235:0.733538:0.000000:0.000000 :@0.416506:0.750036:0.420649:0.750036:0.420649:0.733538:0.416506:0.733538:0.000000 Conmutativa::@0.427969:0.750499:0.533753:0.750499:0.533753:0.733553:0.427969:0.733553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 para todo , :@0.533755:0.750036:0.638729:0.750036:0.638729:0.733538:0.533755:0.733538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.612529:0.750152:0.634587:0.750152:0.634587:0.733683:0.612529:0.733683:0.000000:0.000000:0.000000  :@0.638736:0.749517:0.657786:0.749517:0.657786:0.736144:0.638736:0.736144:0.000000:0.000000 R:@0.657785:0.749067:0.671695:0.749067:0.671695:0.735620:0.657785:0.735620:0.000000 , + = + .:@0.671695:0.750036:0.773088:0.750036:0.773088:0.733538:0.671695:0.733538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y y x:@0.682734:0.750152:0.770333:0.750152:0.770333:0.733683:0.682734:0.733683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2.:@0.404235:0.767604:0.416507:0.767604:0.416507:0.750889:0.404235:0.750889:0.000000:0.000000 :@0.416507:0.767387:0.420649:0.767387:0.420649:0.750889:0.416507:0.750889:0.000000 Asociativa: :@0.427970:0.767849:0.516263:0.767849:0.516263:0.750904:0.427970:0.750904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 para todo , , :@0.516263:0.767387:0.630639:0.767387:0.630639:0.750889:0.516263:0.750889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y z:@0.590894:0.767502:0.626497:0.767502:0.626497:0.751034:0.590894:0.751034:0.000000:0.000000:0.000000:0.000000:0.000000  :@0.630643:0.766868:0.649693:0.766868:0.649693:0.753495:0.630643:0.753495:0.000000:0.000000 R:@0.649692:0.766418:0.663602:0.766418:0.663602:0.752971:0.649692:0.752971:0.000000 , + ( + ) = ( + ) + :@0.663602:0.767387:0.830882:0.767387:0.830882:0.750889:0.663602:0.750889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.674641:0.767502:0.682116:0.767502:0.682116:0.751034:0.674641:0.751034:0.000000 y z:@0.707161:0.767502:0.740586:0.767502:0.740586:0.751034:0.707161:0.751034:0.000000:0.000000:0.000000 x y:@0.771584:0.767502:0.805837:0.767502:0.805837:0.751034:0.771584:0.751034:0.000000:0.000000:0.000000 z.:@0.830882:0.767502:0.840784:0.767502:0.840784:0.751034:0.830882:0.751034:0.000000:0.000000 3.:@0.404234:0.784954:0.416506:0.784954:0.416506:0.768240:0.404234:0.768240:0.000000:0.000000 Existencia de elemento neutro: :@0.416506:0.785200:0.648687:0.785200:0.648687:0.768254:0.416506:0.768254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 existe 0 :@0.647454:0.784737:0.698699:0.784737:0.698699:0.768240:0.647454:0.768240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000  :@0.697492:0.784219:0.716014:0.784219:0.716014:0.770846:0.697492:0.770846:0.000000:0.000000 R:@0.714777:0.783769:0.728687:0.783769:0.728687:0.770322:0.714777:0.770322:0.000000 , tal que para todo :@0.728109:0.784737:0.859652:0.784737:0.859652:0.768240:0.728109:0.768240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.848570:0.784853:0.856045:0.784853:0.856045:0.768384:0.848570:0.768384:0.000000  :@0.858397:0.784219:0.876919:0.784219:0.876919:0.770846:0.858397:0.770846:0.000000:0.000000 R:@0.875682:0.783769:0.889592:0.783769:0.889592:0.770322:0.875682:0.770322:0.000000 , :@0.889014:0.784737:0.895911:0.784737:0.895911:0.768240:0.889014:0.768240:0.000000:0.000000 :@0.891769:0.784737:0.895911:0.784737:0.895911:0.768240:0.891769:0.768240:0.000000 x:@0.427977:0.802204:0.435452:0.802204:0.435452:0.785735:0.427977:0.785735:0.000000 + 0 = 0 + = .:@0.435452:0.802088:0.546516:0.802088:0.546516:0.785591:0.435452:0.785591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x x:@0.509719:0.802204:0.543761:0.802204:0.543761:0.785735:0.509719:0.785735:0.000000:0.000000:0.000000 4.:@0.404242:0.819656:0.416514:0.819656:0.416514:0.802941:0.404242:0.802941:0.000000:0.000000 :@0.416514:0.819439:0.420656:0.819439:0.420656:0.802941:0.416514:0.802941:0.000000 Existencia de opuestos aditivos: :@0.427977:0.819902:0.671989:0.819902:0.671989:0.802956:0.427977:0.802956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 para cada :@0.671526:0.819439:0.755251:0.819439:0.755251:0.802941:0.671526:0.802941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.743634:0.819555:0.751109:0.819555:0.751109:0.803086:0.743634:0.803086:0.000000  :@0.754788:0.818920:0.773487:0.818920:0.773487:0.805547:0.754788:0.805547:0.000000:0.000000 R:@0.772631:0.818470:0.786541:0.818470:0.786541:0.805023:0.772631:0.805023:0.000000 , existe – :@0.786156:0.819439:0.858131:0.819439:0.858131:0.802941:0.786156:0.802941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.846514:0.819555:0.853989:0.819555:0.853989:0.803086:0.846514:0.803086:0.000000  :@0.857648:0.818920:0.876346:0.818920:0.876346:0.805547:0.857648:0.805547:0.000000:0.000000 R:@0.875489:0.818470:0.889399:0.818470:0.889399:0.805023:0.875489:0.805023:0.000000 , :@0.889014:0.819439:0.895911:0.819439:0.895911:0.802941:0.889014:0.802941:0.000000:0.000000:0.000000 tal que + (– ) = – + = 0.:@0.427977:0.836790:0.631688:0.836790:0.631688:0.820292:0.427977:0.820292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.481265:0.836905:0.488739:0.836905:0.488739:0.820437:0.481265:0.820437:0.000000 x:@0.524284:0.836905:0.531759:0.836905:0.531759:0.820437:0.524284:0.820437:0.000000 x x:@0.567303:0.836905:0.601345:0.836905:0.601345:0.820437:0.567303:0.820437:0.000000:0.000000:0.000000 Las propiedades, de la 1 a la 4, dan la :@0.404242:0.871491:0.664415:0.871491:0.664415:0.854994:0.404242:0.854994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 estructura:@0.664107:0.871708:0.740282:0.871708:0.740282:0.854994:0.664107:0.854994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 algebraica que deno-:@0.740267:0.871491:0.891788:0.871491:0.891788:0.854994:0.740267:0.854994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 minamos grupo conmutativo de la adición de números reales, que se :@0.404261:0.888842:0.895890:0.888842:0.895890:0.872344:0.404261:0.872344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 escribe ( , +).:@0.404261:0.906193:0.504593:0.906193:0.504593:0.889695:0.404261:0.889695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.464271:0.905224:0.478180:0.905224:0.478180:0.891777:0.464271:0.891777:0.000000 Competencia digital:@0.198820:0.106800:0.341172:0.106800:0.341172:0.091327:0.198820:0.091327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Por las limitaciones de :@0.199058:0.135427:0.347094:0.135427:0.347094:0.120364:0.199058:0.120364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las calculadoras de bolsillo, los :@0.152515:0.151269:0.351067:0.151269:0.351067:0.136206:0.152515:0.136206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 datos mostrados se presentan :@0.152515:0.167111:0.350612:0.167111:0.350612:0.152048:0.152515:0.152048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 hasta con 9 cifras (a veces 10 :@0.152515:0.182953:0.342448:0.182953:0.342448:0.167890:0.152515:0.167890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 o 12 cifras) después del punto :@0.152515:0.198795:0.350979:0.198795:0.350979:0.183732:0.152515:0.183732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 decimal.:@0.152515:0.214637:0.206217:0.214637:0.206217:0.199574:0.152515:0.199574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sin embargo, mediante el uso :@0.152515:0.237608:0.347182:0.237608:0.347182:0.222545:0.152515:0.222545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de programas específcos :@0.152515:0.253450:0.315275:0.253450:0.315275:0.238387:0.152515:0.238387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (Matlab, Matemática, etc.) se :@0.152515:0.269292:0.344737:0.269292:0.344737:0.254229:0.152515:0.254229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 puede obtener aproximaciones :@0.152515:0.285134:0.358969:0.285134:0.358969:0.270071:0.152515:0.270071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 con un número grande de cifras :@0.152515:0.300976:0.364084:0.300976:0.364084:0.285913:0.152515:0.285913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 decimales. Así, por ejemplo, :@0.152515:0.316818:0.335852:0.316818:0.335852:0.301755:0.152515:0.301755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 se aproxima con 32 cifras :@0.164300:0.335803:0.344635:0.335655:0.344635:0.320592:0.164300:0.320740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 después del punto decimal.:@0.152518:0.351497:0.330350:0.351497:0.330350:0.336434:0.152518:0.336434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 1,414 213 562 373 095 048 8. :@0.163245:0.380828:0.369187:0.380828:0.369187:0.365765:0.163245:0.365765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 De la misma manera, al utilizar :@0.152521:0.525442:0.353961:0.525442:0.353961:0.510379:0.152521:0.510379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 este tipo de programas espe-:@0.152521:0.541284:0.340239:0.541284:0.340239:0.526221:0.152521:0.526221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cializados, podemos obtener :@0.152521:0.557126:0.342119:0.557126:0.342119:0.542063:0.152521:0.542063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 valores aproximados de con :@0.152521:0.574473:0.350990:0.574477:0.350990:0.559413:0.152521:0.559410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 π:@0.309280:0.574913:0.318817:0.574913:0.318817:0.558444:0.309280:0.558444:0.000000 32 cifras, como se muestra a :@0.152521:0.590319:0.338673:0.590319:0.338673:0.575255:0.152521:0.575255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 continuación::@0.152521:0.606161:0.241421:0.606161:0.241421:0.591097:0.152521:0.591097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 π:@0.152521:0.631076:0.162058:0.631076:0.162058:0.614608:0.152521:0.614608:0.000000 = 3,415 926 535 897 9:@0.162057:0.630640:0.305732:0.630640:0.305732:0.615577:0.162057:0.615577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 32 384 626 433 832 795 0.:@0.152523:0.646482:0.317359:0.646482:0.317359:0.631419:0.152523:0.631419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 https://es.mathworks.com. Mathlab:@0.141188:0.502782:0.141188:0.408296:0.129720:0.408296:0.129720:0.502782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Glosario:@0.199644:0.759074:0.267109:0.759074:0.267109:0.741391:0.199644:0.741391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 estructura.:@0.199880:0.785887:0.271153:0.785887:0.271153:0.770626:0.199880:0.770626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Disposición :@0.271155:0.785689:0.352314:0.785689:0.352314:0.770626:0.271155:0.770626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 o modo de estar relacionada :@0.153337:0.801531:0.341563:0.801531:0.341563:0.786468:0.153337:0.786468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 con las distintas partes de un :@0.153337:0.817373:0.345082:0.817373:0.345082:0.802310:0.153337:0.802310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 conjunto.:@0.153337:0.833215:0.215358:0.833215:0.215358:0.818152:0.153337:0.818152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.146908:0.762806:0.158313:0.761297:0.153110:0.739152:0.141706:0.740661:0.000000 c:@0.150290:0.773775:0.160889:0.772372:0.155807:0.750738:0.145207:0.752140:0.000000 b:@0.160665:0.766557:0.173379:0.764875:0.168247:0.743032:0.155534:0.744715:0.000000