﻿97:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento espacial, métrico y variacional:@0.541231:0.043660:0.930030:0.043660:0.930030:0.024915:0.541231:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el cálculo con números :@0.744288:0.181778:0.909321:0.181778:0.909321:0.168494:0.744288:0.168494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales se cumple::@0.744288:0.195848:0.849235:0.195848:0.849235:0.182564:0.744288:0.182564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema:@0.744288:0.213494:0.800089:0.213494:0.800089:0.199401:0.744288:0.199401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i.  (     )        .:@0.744288:0.231135:0.871611:0.231135:0.871611:0.217851:0.744288:0.217851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.758519:0.231135:0.775139:0.231135:0.775139:0.218085:0.758519:0.218085:0.000000:0.000000:0.000000
2:@0.778423:0.230666:0.791387:0.230666:0.791387:0.219070:0.778423:0.219070:0.000000
z:@0.794655:0.231135:0.800771:0.231135:0.800771:0.218085:0.794655:0.218085:0.000000
5:@0.808101:0.230666:0.821064:0.230666:0.821064:0.219070:0.808101:0.219070:0.000000
xy:@0.824332:0.231135:0.837063:0.231135:0.837063:0.218085:0.824332:0.218085:0.000000:0.000000
2:@0.840362:0.230666:0.853325:0.230666:0.853325:0.219070:0.840362:0.219070:0.000000
xz:@0.856593:0.231135:0.868950:0.231135:0.868950:0.218085:0.856593:0.218085:0.000000:0.000000
ii. :@0.744288:0.255377:0.756723:0.255377:0.756723:0.242092:0.744288:0.242092:0.000000:0.000000:0.000000:0.000000
x:@0.762613:0.246444:0.770068:0.246444:0.770068:0.231009:0.762613:0.231009:0.000000
y:@0.761951:0.260673:0.769424:0.260673:0.769424:0.245238:0.761951:0.245238:0.000000
       :@0.773301:0.255377:0.827285:0.255377:0.827285:0.242092:0.773301:0.242092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.776641:0.254908:0.789605:0.254908:0.789605:0.243312:0.776641:0.243312:0.000000
z:@0.796612:0.248725:0.803846:0.248725:0.803846:0.233290:0.796612:0.233290:0.000000
u:@0.796299:0.260332:0.805613:0.260332:0.805613:0.244897:0.796299:0.244897:0.000000
5:@0.810991:0.254908:0.823955:0.254908:0.823955:0.243312:0.810991:0.243312:0.000000
xu :@0.832886:0.248655:0.852968:0.248655:0.852968:0.233220:0.832886:0.233220:0.000000:0.000000:0.000000
1 :@0.852968:0.248101:0.872903:0.248101:0.872903:0.234385:0.852968:0.234385:0.000000:0.000000
yz:@0.872903:0.248655:0.887610:0.248655:0.887610:0.233220:0.872903:0.233220:0.000000:0.000000
yu:@0.850317:0.261705:0.867105:0.261705:0.867105:0.246270:0.850317:0.246270:0.000000:0.000000
,:@0.889672:0.255377:0.892380:0.255377:0.892380:0.242092:0.889672:0.242092:0.000000
  siempre que     0,     0.:@0.744288:0.273021:0.911892:0.273021:0.911892:0.259736:0.744288:0.259736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.836803:0.273021:0.843121:0.273021:0.843121:0.259971:0.836803:0.259971:0.000000
?:@0.846094:0.273478:0.859057:0.273478:0.859057:0.260651:0.846094:0.260651:0.000000
u:@0.875040:0.273021:0.882915:0.273021:0.882915:0.259971:0.875040:0.259971:0.000000
?:@0.885887:0.273478:0.898851:0.273478:0.898851:0.260651:0.885887:0.260651:0.000000
iii.          :@0.744288:0.296836:0.830625:0.296836:0.830625:0.283552:0.744288:0.283552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.765953:0.288329:0.773408:0.288329:0.773408:0.272893:0.765953:0.272893:0.000000
y:@0.765291:0.302557:0.772764:0.302557:0.772764:0.287122:0.765291:0.287122:0.000000
2:@0.779981:0.296367:0.792945:0.296367:0.792945:0.284771:0.779981:0.284771:0.000000
z:@0.799952:0.290449:0.807186:0.290449:0.807186:0.275014:0.799952:0.275014:0.000000
u:@0.799639:0.302057:0.808953:0.302057:0.808953:0.286622:0.799639:0.286622:0.000000
5:@0.814331:0.296367:0.827295:0.296367:0.827295:0.284771:0.814331:0.284771:0.000000
xu :@0.836226:0.290677:0.856308:0.290677:0.856308:0.275242:0.836226:0.275242:0.000000:0.000000:0.000000
2 :@0.856308:0.290123:0.876243:0.290123:0.876243:0.276407:0.856308:0.276407:0.000000:0.000000
yz:@0.876243:0.290677:0.890950:0.290677:0.890950:0.275242:0.876243:0.275242:0.000000:0.000000
yu:@0.853657:0.303727:0.870445:0.303727:0.870445:0.288292:0.853657:0.288292:0.000000:0.000000
,:@0.893012:0.296836:0.895720:0.296836:0.895720:0.283552:0.893012:0.283552:0.000000
  siempre que     0,     0.:@0.744288:0.314479:0.915627:0.314479:0.915627:0.301195:0.744288:0.301195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.838670:0.314479:0.844989:0.314479:0.844989:0.301429:0.838670:0.301429:0.000000
?:@0.848273:0.314936:0.861236:0.314936:0.861236:0.302109:0.848273:0.302109:0.000000
u:@0.877997:0.314479:0.885872:0.314479:0.885872:0.301429:0.877997:0.301429:0.000000
?:@0.889155:0.314936:0.902119:0.314936:0.902119:0.302109:0.889155:0.302109:0.000000
iv.         :@0.744288:0.340216:0.817739:0.340216:0.817739:0.326931:0.744288:0.326931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.769294:0.329788:0.776748:0.329788:0.776748:0.314353:0.769294:0.314353:0.000000
y:@0.768631:0.344017:0.776104:0.344017:0.776104:0.328582:0.768631:0.328582:0.000000
3:@0.783322:0.339747:0.796285:0.339747:0.796285:0.328151:0.783322:0.328151:0.000000
z:@0.803292:0.333264:0.810526:0.333264:0.810526:0.317829:0.803292:0.317829:0.000000
u:@0.802979:0.344872:0.812293:0.344872:0.812293:0.329436:0.802979:0.329436:0.000000
5:@0.817671:0.339747:0.830635:0.339747:0.830635:0.328151:0.817671:0.328151:0.000000
xz:@0.834300:0.334048:0.848989:0.334048:0.848989:0.318613:0.834300:0.318613:0.000000:0.000000
yu:@0.833987:0.345656:0.850774:0.345656:0.850774:0.330221:0.833987:0.330221:0.000000:0.000000
,:@0.851661:0.340216:0.854369:0.340216:0.854369:0.326931:0.851661:0.326931:0.000000
  siempre que     0,     0.:@0.744288:0.357860:0.915627:0.357860:0.915627:0.344576:0.744288:0.344576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.838670:0.357860:0.844989:0.357860:0.844989:0.344810:0.838670:0.344810:0.000000
?:@0.848273:0.358317:0.861236:0.358317:0.861236:0.345490:0.848273:0.345490:0.000000
u:@0.877997:0.357860:0.885872:0.357860:0.885872:0.344810:0.877997:0.344810:0.000000
?:@0.889155:0.358317:0.902119:0.358317:0.902119:0.345490:0.889155:0.345490:0.000000
v.  :@0.744288:0.390560:0.761920:0.390560:0.761920:0.377276:0.744288:0.377276:0.000000:0.000000:0.000000:0.000000
z:@0.765602:0.398587:0.772836:0.398587:0.772836:0.383152:0.765602:0.383152:0.000000
u:@0.765291:0.410190:0.774605:0.410190:0.774605:0.394754:0.765291:0.394754:0.000000
x:@0.768059:0.372757:0.775513:0.372757:0.775513:0.357322:0.768059:0.357322:0.000000
y:@0.767212:0.384107:0.774685:0.384107:0.774685:0.368672:0.767212:0.368672:0.000000
   :@0.779026:0.390560:0.798660:0.390560:0.798660:0.377276:0.779026:0.377276:0.000000:0.000000:0.000000
5:@0.782366:0.390091:0.795330:0.390091:0.795330:0.378495:0.782366:0.378495:0.000000
xu:@0.803636:0.385999:0.820405:0.385999:0.820405:0.370563:0.803636:0.370563:0.000000:0.000000
yz:@0.803877:0.397450:0.818585:0.397450:0.818585:0.382015:0.803877:0.382015:0.000000:0.000000
, :@0.822542:0.390560:0.828658:0.390560:0.828658:0.377276:0.822542:0.377276:0.000000:0.000000
con     0,     0,     0.:@0.744288:0.418924:0.887058:0.418924:0.887058:0.405640:0.744288:0.405640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.770978:0.418924:0.777296:0.418924:0.777296:0.405874:0.770978:0.405874:0.000000
?:@0.780580:0.419381:0.793543:0.419381:0.793543:0.406554:0.780580:0.406554:0.000000
z:@0.810304:0.418924:0.816420:0.418924:0.816420:0.405874:0.810304:0.405874:0.000000
?:@0.819704:0.419381:0.832668:0.419381:0.832668:0.406554:0.819704:0.406554:0.000000
u:@0.849428:0.418924:0.857303:0.418924:0.857303:0.405874:0.849428:0.405874:0.000000
?:@0.860587:0.419381:0.873550:0.419381:0.873550:0.406554:0.860587:0.406554:0.000000
Competencia :@0.740294:0.145303:0.848854:0.145303:0.848854:0.128356:0.740294:0.128356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.161945:0.837769:0.161945:0.837769:0.144998:0.740294:0.144998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las funciones racionales :@0.744288:0.519495:0.899220:0.519495:0.899220:0.505925:0.744288:0.505925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
modelan situaciones :@0.744288:0.533868:0.877904:0.533868:0.877904:0.520297:0.744288:0.520297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
donde una variable :@0.744288:0.548240:0.869408:0.548240:0.869408:0.534670:0.744288:0.534670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
depende inversamente :@0.744288:0.562613:0.893830:0.562613:0.893830:0.549042:0.744288:0.549042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de otra o muestra :@0.744288:0.576985:0.859209:0.576985:0.859209:0.563415:0.744288:0.563415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un comportamiento :@0.744288:0.591357:0.876063:0.591357:0.876063:0.577787:0.744288:0.577787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asintótico, acercándose a :@0.744288:0.605730:0.905039:0.605730:0.905039:0.592160:0.744288:0.592160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un valor sin alcanzarlo.:@0.744288:0.620102:0.885077:0.620102:0.885077:0.606532:0.744288:0.606532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La Ley de Boyle describe :@0.744288:0.742006:0.900995:0.742006:0.900995:0.728436:0.744288:0.728436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la relación inversa entre :@0.744288:0.756379:0.895128:0.756379:0.895128:0.742809:0.744288:0.742809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la presión y el volumen :@0.744288:0.770751:0.892773:0.770751:0.892773:0.757181:0.744288:0.757181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un gas a temperatura :@0.744288:0.785124:0.901823:0.785124:0.901823:0.771554:0.744288:0.771554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
constante:  ( ):@0.744288:0.805054:0.836619:0.805054:0.836619:0.791484:0.744288:0.791484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P V:@0.812948:0.805054:0.832470:0.805054:0.832470:0.791723:0.812948:0.791723:0.000000:0.000000:0.000000
5:@0.836555:0.804575:0.849798:0.804575:0.849798:0.792729:0.836555:0.792729:0.000000
k:@0.851997:0.799099:0.859563:0.799099:0.859563:0.783664:0.851997:0.783664:0.000000
v:@0.852237:0.810554:0.859968:0.810554:0.859968:0.795119:0.852237:0.795119:0.000000
  , donde :@0.863212:0.805059:0.914538:0.805059:0.914538:0.791489:0.863212:0.791489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.744288:0.819431:0.750822:0.819431:0.750822:0.806101:0.744288:0.806101:0.000000
 es una constante. En el :@0.750758:0.819431:0.900783:0.819431:0.900783:0.805861:0.750758:0.805861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
buceo, esta  Ley explica :@0.744288:0.833804:0.894865:0.833804:0.894865:0.820234:0.744288:0.820234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cómo cambian el volumen :@0.744288:0.848176:0.916671:0.848176:0.916671:0.834606:0.744288:0.834606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y la presión del aire en los :@0.744288:0.862549:0.908224:0.862549:0.908224:0.848979:0.744288:0.848979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pulmones o en el tanque :@0.744288:0.876921:0.905708:0.876921:0.905708:0.863351:0.744288:0.863351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de oxígeno al sumergirse :@0.744288:0.891294:0.905307:0.891294:0.905307:0.877724:0.744288:0.877724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o ascender, y así, prevenir :@0.744288:0.905666:0.906654:0.905666:0.906654:0.892096:0.744288:0.892096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
riesgos como el síndrome :@0.744288:0.920039:0.909765:0.920039:0.909765:0.906469:0.744288:0.906469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de descompresión.:@0.744288:0.934411:0.863956:0.934411:0.863956:0.920841:0.744288:0.920841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.740294:0.459230:0.891372:0.459230:0.891372:0.443824:0.740294:0.443824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemáticas y :@0.740294:0.474359:0.839378:0.474359:0.839378:0.460075:0.740294:0.460075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medicina:@0.740294:0.489488:0.801774:0.489488:0.801774:0.475204:0.740294:0.475204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.2 Resta de funciones racionales:@0.073089:0.136836:0.332570:0.136836:0.332570:0.119889:0.073089:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,  ,  ,   polinomios reales de grado  2,   y   dos funciones racionales definidas :@0.073089:0.165986:0.710541:0.165986:0.710541:0.150273:0.073089:0.150273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p q r s:@0.113971:0.165986:0.168604:0.165986:0.168604:0.150551:0.113971:0.150551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
#:@0.381871:0.165431:0.397204:0.165431:0.397204:0.151716:0.381871:0.151716:0.000000
f g:@0.414433:0.165986:0.446259:0.165986:0.446259:0.150551:0.414433:0.150551:0.000000:0.000000:0.000000
como::@0.073107:0.182628:0.118886:0.182628:0.118886:0.166915:0.073107:0.166915:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.073107:0.218269:0.089987:0.218269:0.089987:0.202834:0.073107:0.202834:0.000000:0.000000:0.000000
( ) = :@0.077727:0.218269:0.113603:0.218269:0.113603:0.202556:0.077727:0.202556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x:@0.117585:0.208560:0.139177:0.208560:0.139177:0.193125:0.117585:0.193125:0.000000:0.000000:0.000000
( ):@0.126844:0.208560:0.144054:0.208560:0.144054:0.192847:0.126844:0.192847:0.000000:0.000000:0.000000
q x:@0.116922:0.225313:0.138514:0.225313:0.138514:0.209877:0.116922:0.209877:0.000000:0.000000:0.000000
( ):@0.126181:0.225313:0.143392:0.225313:0.143392:0.209600:0.126181:0.209600:0.000000:0.000000:0.000000
,    :@0.146598:0.218265:0.165631:0.218265:0.165631:0.202553:0.146598:0.202553:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.165521:0.217710:0.177798:0.217710:0.177798:0.203995:0.165521:0.203995:0.000000
x:@0.177706:0.218265:0.185161:0.218265:0.185161:0.202830:0.177706:0.202830:0.000000
   :@0.185087:0.218265:0.208317:0.218265:0.208317:0.202553:0.185087:0.202553:0.000000:0.000000:0.000000
[:@0.189045:0.218127:0.204378:0.218127:0.204378:0.204078:0.189045:0.204078:0.000000
Dom f:@0.208244:0.218265:0.253139:0.218265:0.253139:0.202830:0.208244:0.202830:0.000000:0.000000:0.000000:0.000000:0.000000
( ),     ( ) = :@0.243641:0.218265:0.321853:0.218265:0.321853:0.202553:0.243641:0.202553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.276792:0.218265:0.298237:0.218265:0.298237:0.202830:0.276792:0.202830:0.000000:0.000000:0.000000
r x:@0.325844:0.209710:0.343460:0.209710:0.343460:0.194275:0.325844:0.194275:0.000000:0.000000:0.000000
( ):@0.331127:0.209710:0.348338:0.209710:0.348338:0.193997:0.331127:0.193997:0.000000:0.000000:0.000000
s x:@0.325182:0.226463:0.343883:0.226463:0.343883:0.211027:0.325182:0.211027:0.000000:0.000000:0.000000
( ):@0.331551:0.226463:0.348761:0.226463:0.348761:0.210750:0.331551:0.210750:0.000000:0.000000:0.000000
,    :@0.354858:0.218265:0.373891:0.218265:0.373891:0.202553:0.354858:0.202553:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.373782:0.217710:0.386060:0.217710:0.386060:0.203995:0.373782:0.203995:0.000000
x:@0.385967:0.218265:0.393422:0.218265:0.393422:0.202830:0.385967:0.202830:0.000000
   :@0.393349:0.218265:0.416579:0.218265:0.416579:0.202553:0.393349:0.202553:0.000000:0.000000:0.000000
[:@0.397306:0.218127:0.412640:0.218127:0.412640:0.204078:0.397306:0.204078:0.000000
Dom g:@0.416505:0.218265:0.465965:0.218265:0.465965:0.202830:0.416505:0.202830:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.451902:0.218265:0.473899:0.218265:0.473899:0.202553:0.451902:0.202553:0.000000:0.000000:0.000000:0.000000
Dada la función racional  , existe la función racional :@0.073099:0.247416:0.450754:0.247416:0.450754:0.231704:0.073099:0.231704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.252036:0.247416:0.261295:0.247416:0.261295:0.231981:0.252036:0.231981:0.000000
2:@0.450485:0.246861:0.465818:0.246861:0.465818:0.233146:0.450485:0.233146:0.000000
g:@0.465726:0.247416:0.474985:0.247416:0.474985:0.231981:0.465726:0.231981:0.000000
 definida como      :@0.474911:0.247416:0.608754:0.247416:0.608754:0.231704:0.474911:0.231704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.073081:0.281643:0.088414:0.281643:0.088414:0.267927:0.073081:0.267927:0.000000
g x:@0.088193:0.282198:0.109454:0.282198:0.109454:0.266762:0.088193:0.266762:0.000000:0.000000:0.000000
( ) :@0.097305:0.282198:0.118031:0.282198:0.118031:0.266485:0.097305:0.266485:0.000000:0.000000:0.000000:0.000000
5:@0.117314:0.281643:0.132647:0.281643:0.132647:0.267927:0.117314:0.267927:0.000000
2:@0.134700:0.272792:0.150033:0.272792:0.150033:0.259077:0.134700:0.259077:0.000000
r x:@0.150033:0.273347:0.167649:0.273347:0.167649:0.257912:0.150033:0.257912:0.000000:0.000000:0.000000
( ):@0.155316:0.273347:0.172527:0.273347:0.172527:0.257635:0.155316:0.257635:0.000000:0.000000:0.000000
s x:@0.141069:0.290100:0.159771:0.290100:0.159771:0.274665:0.141069:0.274665:0.000000:0.000000:0.000000
( ):@0.147438:0.290100:0.164649:0.290100:0.164649:0.274387:0.147438:0.274387:0.000000:0.000000:0.000000
,  :@0.172775:0.282194:0.183138:0.282194:0.183138:0.266481:0.172775:0.266481:0.000000:0.000000:0.000000
;:@0.182420:0.281639:0.194698:0.281639:0.194698:0.267923:0.182420:0.267923:0.000000
x:@0.194495:0.282194:0.201950:0.282194:0.201950:0.266759:0.194495:0.266759:0.000000
   :@0.201803:0.282194:0.224260:0.282194:0.224260:0.266481:0.201803:0.266481:0.000000:0.000000:0.000000
[:@0.205116:0.282055:0.220449:0.282055:0.220449:0.268007:0.205116:0.268007:0.000000
Dom f:@0.223542:0.282194:0.268069:0.282194:0.268069:0.266759:0.223542:0.266759:0.000000:0.000000:0.000000:0.000000:0.000000
( ), tal que     :@0.258681:0.282194:0.362645:0.282194:0.362645:0.266481:0.258681:0.266481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.331095:0.282194:0.340354:0.282194:0.340354:0.266759:0.331095:0.266759:0.000000
1 2:@0.343502:0.281639:0.377261:0.281639:0.377261:0.267923:0.343502:0.267923:0.000000:0.000000:0.000000
g:@0.377040:0.282194:0.386299:0.282194:0.386299:0.266759:0.377040:0.266759:0.000000
 = 0. Como las funciones   y –  son racionales, :@0.386152:0.282194:0.710373:0.282194:0.710373:0.266481:0.386152:0.266481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.561812:0.282194:0.566506:0.282194:0.566506:0.266759:0.561812:0.266759:0.000000
g:@0.589920:0.282194:0.599179:0.282194:0.599179:0.266759:0.589920:0.266759:0.000000
podemos sumar estas dos funciones.:@0.073081:0.298836:0.341249:0.298836:0.341249:0.283123:0.073081:0.283123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.073081:0.327987:0.151049:0.327987:0.151049:0.311317:0.073081:0.311317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Se define la función       como sigue::@0.150944:0.327987:0.434563:0.327987:0.434563:0.312274:0.150944:0.312274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.304847:0.327987:0.309541:0.327987:0.309541:0.312551:0.304847:0.312551:0.000000
2:@0.313424:0.327432:0.328758:0.327432:0.328758:0.313716:0.313424:0.313716:0.000000
g:@0.332623:0.327987:0.341882:0.327987:0.341882:0.312551:0.332623:0.312551:0.000000
(     )( )    ( )    ( )   :@0.073081:0.360230:0.253895:0.360230:0.253895:0.344517:0.073081:0.344517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.077885:0.360230:0.082579:0.360230:0.082579:0.344795:0.077885:0.344795:0.000000
2:@0.086463:0.359675:0.101796:0.359675:0.101796:0.345960:0.086463:0.345960:0.000000
g x:@0.105662:0.360230:0.131892:0.360230:0.131892:0.344795:0.105662:0.344795:0.000000:0.000000:0.000000
5:@0.140562:0.359675:0.155895:0.359675:0.155895:0.345960:0.140562:0.345960:0.000000
f x:@0.159761:0.360230:0.176640:0.360230:0.176640:0.344795:0.159761:0.344795:0.000000:0.000000:0.000000
2:@0.185310:0.359675:0.200643:0.359675:0.200643:0.345960:0.185310:0.345960:0.000000
g x:@0.204509:0.360230:0.225953:0.360230:0.225953:0.344795:0.204509:0.344795:0.000000:0.000000:0.000000
5:@0.234623:0.359675:0.249956:0.359675:0.249956:0.345960:0.234623:0.345960:0.000000
p x s x   q x r x:@0.255703:0.354102:0.368484:0.354102:0.368484:0.338666:0.255703:0.338666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ( ):@0.264962:0.354102:0.305752:0.354102:0.305752:0.338389:0.264962:0.338389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.309065:0.353547:0.324399:0.353547:0.324399:0.339831:0.309065:0.339831:0.000000
( ) ( ):@0.333657:0.354102:0.373362:0.354102:0.373362:0.338389:0.333657:0.338389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q x s x:@0.289430:0.370614:0.338632:0.370614:0.338632:0.355178:0.289430:0.355178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  ( ):@0.298689:0.370614:0.343510:0.370614:0.343510:0.354901:0.298689:0.354901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.378260:0.360231:0.385420:0.360231:0.385420:0.344519:0.378260:0.344519:0.000000:0.000000
;:@0.385332:0.359677:0.397609:0.359677:0.397609:0.345961:0.385332:0.345961:0.000000
x:@0.397517:0.360231:0.404972:0.360231:0.404972:0.344796:0.397517:0.344796:0.000000
   :@0.404899:0.360231:0.428128:0.360231:0.428128:0.344519:0.404899:0.344519:0.000000:0.000000:0.000000
[:@0.408856:0.360093:0.424189:0.360093:0.424189:0.346044:0.408856:0.346044:0.000000
Dom f:@0.428055:0.360231:0.472950:0.360231:0.472950:0.344796:0.428055:0.344796:0.000000:0.000000:0.000000:0.000000:0.000000
( )   :@0.463452:0.360231:0.500892:0.360231:0.500892:0.344519:0.463452:0.344519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
>:@0.481620:0.360093:0.496953:0.360093:0.496953:0.346044:0.481620:0.346044:0.000000
Dom g:@0.500819:0.360231:0.550279:0.360231:0.550279:0.344796:0.500819:0.344796:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.536216:0.360231:0.558213:0.360231:0.558213:0.344519:0.536216:0.344519:0.000000:0.000000:0.000000:0.000000
En forma abreviada, escribimos:       :@0.073089:0.394930:0.346603:0.394930:0.346603:0.379217:0.073089:0.379217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.305610:0.394930:0.310304:0.394930:0.310304:0.379494:0.305610:0.379494:0.000000
2 5 :@0.314188:0.394375:0.366372:0.394375:0.366372:0.380659:0.314188:0.380659:0.000000:0.000000:0.000000:0.000000
g:@0.333386:0.394930:0.342645:0.394930:0.342645:0.379494:0.333386:0.379494:0.000000
p:@0.370360:0.384367:0.379619:0.384367:0.379619:0.368932:0.370360:0.368932:0.000000
q:@0.369697:0.398596:0.378956:0.398596:0.378956:0.383161:0.369697:0.383161:0.000000
 :@0.381036:0.394926:0.385067:0.394926:0.385067:0.379213:0.381036:0.379213:0.000000
2 :@0.384987:0.394371:0.404830:0.394371:0.404830:0.380655:0.384987:0.380655:0.000000:0.000000
r:@0.409052:0.386179:0.414335:0.386179:0.414335:0.370744:0.409052:0.370744:0.000000
s:@0.408739:0.398965:0.415108:0.398965:0.415108:0.383530:0.408739:0.383530:0.000000
   :@0.419509:0.394926:0.442730:0.394926:0.442730:0.379213:0.419509:0.379213:0.000000:0.000000:0.000000
5:@0.423458:0.394371:0.438791:0.394371:0.438791:0.380655:0.423458:0.380655:0.000000
ps :@0.444511:0.386949:0.463452:0.386949:0.463452:0.371514:0.444511:0.371514:0.000000:0.000000:0.000000
2 :@0.463452:0.386394:0.483387:0.386394:0.483387:0.372679:0.463452:0.372679:0.000000:0.000000
qr:@0.483387:0.386949:0.497929:0.386949:0.497929:0.371514:0.483387:0.371514:0.000000:0.000000
qs:@0.463047:0.402004:0.478675:0.402004:0.478675:0.386568:0.463047:0.386568:0.000000:0.000000
,     0,     0.:@0.500877:0.394926:0.597810:0.394926:0.597810:0.379213:0.500877:0.379213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.507946:0.394926:0.517205:0.394926:0.517205:0.379491:0.507946:0.379491:0.000000
?:@0.521088:0.395467:0.536422:0.395467:0.536422:0.380295:0.521088:0.380295:0.000000
s:@0.556246:0.394926:0.562615:0.394926:0.562615:0.379491:0.556246:0.379491:0.000000
?:@0.566499:0.395467:0.581832:0.395467:0.581832:0.380295:0.566499:0.380295:0.000000
Por la propiedad conmutativa, se tiene         –     .:@0.073074:0.424077:0.465480:0.424077:0.465480:0.408364:0.073074:0.408364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.356086:0.424077:0.360780:0.424077:0.360780:0.408641:0.356086:0.408641:0.000000
2 5:@0.364664:0.423522:0.412338:0.423522:0.412338:0.409806:0.364664:0.409806:0.000000:0.000000:0.000000
g:@0.383862:0.424077:0.393121:0.424077:0.393121:0.408641:0.383862:0.408641:0.000000
g:@0.425315:0.424077:0.434574:0.424077:0.434574:0.408641:0.425315:0.408641:0.000000
1:@0.438458:0.423522:0.453792:0.423522:0.453792:0.409806:0.438458:0.409806:0.000000
f:@0.457657:0.424077:0.462351:0.424077:0.462351:0.408641:0.457657:0.408641:0.000000
2.3 Multiplicación de funciones racionales:@0.073074:0.453228:0.401697:0.453228:0.401697:0.436281:0.073074:0.436281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,  ,  ,   polinomios reales de grado   2,   y   dos funciones racionales definidas :@0.073074:0.482379:0.710333:0.482379:0.710333:0.466666:0.073074:0.466666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p q r s:@0.113662:0.482379:0.167632:0.482379:0.167632:0.466943:0.113662:0.466943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
#:@0.379389:0.481824:0.394723:0.481824:0.394723:0.468108:0.379389:0.468108:0.000000
f g:@0.416333:0.482379:0.447772:0.482379:0.447772:0.466943:0.416333:0.466943:0.000000:0.000000:0.000000
como::@0.073074:0.499021:0.118853:0.499021:0.118853:0.483308:0.073074:0.483308:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.073074:0.533497:0.093893:0.533497:0.093893:0.518062:0.073074:0.518062:0.000000:0.000000:0.000000
 ( )   :@0.077695:0.533497:0.121835:0.533497:0.121835:0.517784:0.077695:0.517784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.102563:0.532942:0.117896:0.532942:0.117896:0.519226:0.102563:0.519226:0.000000
p x:@0.125886:0.524949:0.147478:0.524949:0.147478:0.509514:0.125886:0.509514:0.000000:0.000000:0.000000
( ):@0.135145:0.524949:0.152356:0.524949:0.152356:0.509236:0.135145:0.509236:0.000000:0.000000:0.000000
q x:@0.125224:0.541702:0.146815:0.541702:0.146815:0.526266:0.125224:0.526266:0.000000:0.000000:0.000000
( ):@0.134483:0.541702:0.151693:0.541702:0.151693:0.525989:0.134483:0.525989:0.000000:0.000000:0.000000
,   :@0.154900:0.533492:0.169975:0.533492:0.169975:0.517779:0.154900:0.517779:0.000000:0.000000:0.000000:0.000000
;:@0.169865:0.532937:0.182142:0.532937:0.182142:0.519221:0.169865:0.519221:0.000000
x:@0.182050:0.533492:0.189505:0.533492:0.189505:0.518057:0.182050:0.518057:0.000000
 :@0.189432:0.533492:0.193463:0.533492:0.193463:0.517779:0.189432:0.517779:0.000000
[ :@0.193389:0.533353:0.213232:0.533353:0.213232:0.519305:0.193389:0.519305:0.000000:0.000000
Dom f:@0.213140:0.533492:0.258035:0.533492:0.258035:0.518057:0.213140:0.518057:0.000000:0.000000:0.000000:0.000000:0.000000
( ),     ( )   :@0.248537:0.533492:0.331075:0.533492:0.331075:0.517779:0.248537:0.517779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.281689:0.533492:0.303133:0.533492:0.303133:0.518057:0.281689:0.518057:0.000000:0.000000:0.000000
5:@0.311803:0.532937:0.327136:0.532937:0.327136:0.519221:0.311803:0.519221:0.000000
r x:@0.335107:0.525129:0.352722:0.525129:0.352722:0.509694:0.335107:0.509694:0.000000:0.000000:0.000000
( ):@0.340389:0.525129:0.357600:0.525129:0.357600:0.509417:0.340389:0.509417:0.000000:0.000000:0.000000
s x:@0.334444:0.541882:0.353146:0.541882:0.353146:0.526447:0.334444:0.526447:0.000000:0.000000:0.000000
( ):@0.340813:0.541882:0.358024:0.541882:0.358024:0.526169:0.340813:0.526169:0.000000:0.000000:0.000000
,   :@0.364120:0.533492:0.379195:0.533492:0.379195:0.517779:0.364120:0.517779:0.000000:0.000000:0.000000:0.000000
;:@0.379085:0.532937:0.391362:0.532937:0.391362:0.519221:0.379085:0.519221:0.000000
x:@0.391270:0.533492:0.398725:0.533492:0.398725:0.518057:0.391270:0.518057:0.000000
 :@0.398652:0.533492:0.402683:0.533492:0.402683:0.517779:0.398652:0.517779:0.000000
[ :@0.402609:0.533353:0.422452:0.533353:0.422452:0.519305:0.402609:0.519305:0.000000:0.000000
Dom g:@0.422360:0.533492:0.471821:0.533492:0.471821:0.518057:0.422360:0.518057:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.457757:0.533492:0.479754:0.533492:0.479754:0.517779:0.457757:0.517779:0.000000:0.000000:0.000000:0.000000
Definición. Se define la función   como sigue::@0.073083:0.562643:0.407800:0.562643:0.407800:0.546930:0.073083:0.546930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fg:@0.301222:0.562643:0.315101:0.562643:0.315101:0.547207:0.301222:0.547207:0.000000:0.000000
( )( )    ( ) ( )   :@0.073083:0.599061:0.207621:0.599061:0.207621:0.583348:0.073083:0.583348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fg x:@0.077887:0.599061:0.108756:0.599061:0.108756:0.583625:0.077887:0.583625:0.000000:0.000000:0.000000:0.000000
5:@0.117426:0.598506:0.132759:0.598506:0.132759:0.584790:0.117426:0.584790:0.000000
f x g x:@0.136624:0.599061:0.179679:0.599061:0.179679:0.583625:0.136624:0.583625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.188349:0.598506:0.203682:0.598506:0.203682:0.584790:0.188349:0.584790:0.000000
p x:@0.211651:0.588574:0.233242:0.588574:0.233242:0.573138:0.211651:0.573138:0.000000:0.000000:0.000000
( ):@0.220910:0.588574:0.238120:0.588574:0.238120:0.572861:0.220910:0.572861:0.000000:0.000000:0.000000
q x:@0.210988:0.605327:0.232580:0.605327:0.232580:0.589891:0.210988:0.589891:0.000000:0.000000:0.000000
( ):@0.220247:0.605327:0.237458:0.605327:0.237458:0.589614:0.220247:0.589614:0.000000:0.000000:0.000000
   :@0.240664:0.599059:0.263894:0.599059:0.263894:0.583347:0.240664:0.583347:0.000000:0.000000:0.000000
3:@0.244622:0.598505:0.259955:0.598505:0.259955:0.584789:0.244622:0.584789:0.000000
r x:@0.267900:0.589096:0.285516:0.589096:0.285516:0.573660:0.267900:0.573660:0.000000:0.000000:0.000000
( ):@0.273183:0.589096:0.290394:0.589096:0.290394:0.573383:0.273183:0.573383:0.000000:0.000000:0.000000
s x:@0.267237:0.605848:0.285939:0.605848:0.285939:0.590413:0.267237:0.590413:0.000000:0.000000:0.000000
( ):@0.273606:0.605848:0.290817:0.605848:0.290817:0.590136:0.273606:0.590136:0.000000:0.000000:0.000000
 :@0.296913:0.599059:0.300944:0.599059:0.300944:0.583347:0.296913:0.583347:0.000000
5:@0.300871:0.598505:0.316204:0.598505:0.316204:0.584789:0.300871:0.584789:0.000000
p x r x:@0.321313:0.591069:0.365398:0.591069:0.365398:0.575633:0.321313:0.575633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ( ):@0.330572:0.591069:0.370276:0.591069:0.370276:0.575356:0.330572:0.575356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q x s x:@0.317800:0.607581:0.367003:0.607581:0.367003:0.592145:0.317800:0.592145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  ( ):@0.327059:0.607581:0.371881:0.607581:0.371881:0.591868:0.327059:0.591868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.371571:0.599059:0.378732:0.599059:0.378732:0.583347:0.371571:0.583347:0.000000:0.000000
;:@0.378645:0.598505:0.390922:0.598505:0.390922:0.584789:0.378645:0.584789:0.000000
x:@0.390830:0.599059:0.398285:0.599059:0.398285:0.583624:0.390830:0.583624:0.000000
   :@0.398212:0.599059:0.421442:0.599059:0.421442:0.583347:0.398212:0.583347:0.000000:0.000000:0.000000
[:@0.402169:0.598921:0.417502:0.598921:0.417502:0.584872:0.402169:0.584872:0.000000
Dom f:@0.421368:0.599059:0.466263:0.599059:0.466263:0.583624:0.421368:0.583624:0.000000:0.000000:0.000000:0.000000:0.000000
( )   :@0.456765:0.599059:0.494205:0.599059:0.494205:0.583347:0.456765:0.583347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
>:@0.474933:0.598921:0.490266:0.598921:0.490266:0.584872:0.474933:0.584872:0.000000
Dom g:@0.494132:0.599059:0.543592:0.599059:0.543592:0.583624:0.494132:0.583624:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.529529:0.599059:0.551526:0.599059:0.551526:0.583347:0.529529:0.583347:0.000000:0.000000:0.000000:0.000000
En forma abreviada, escribimos:    :@0.073084:0.634437:0.327399:0.634437:0.327399:0.618724:0.073084:0.618724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fg:@0.309544:0.634437:0.323423:0.634437:0.323423:0.619002:0.309544:0.619002:0.000000:0.000000
5:@0.327325:0.633882:0.342659:0.633882:0.342659:0.620167:0.327325:0.620167:0.000000
p:@0.346658:0.623196:0.355917:0.623196:0.355917:0.607761:0.346658:0.607761:0.000000
q:@0.345995:0.637425:0.355254:0.637425:0.355254:0.621990:0.345995:0.621990:0.000000
       :@0.357334:0.634431:0.418470:0.634431:0.418470:0.618718:0.357334:0.618718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.361285:0.633876:0.376618:0.633876:0.376618:0.620160:0.361285:0.620160:0.000000
r:@0.384791:0.624999:0.390074:0.624999:0.390074:0.609564:0.384791:0.609564:0.000000
s:@0.384478:0.637786:0.390847:0.637786:0.390847:0.622350:0.384478:0.622350:0.000000
5:@0.399197:0.633876:0.414531:0.633876:0.414531:0.620160:0.399197:0.620160:0.000000
pr:@0.421969:0.623687:0.436510:0.623687:0.436510:0.608251:0.421969:0.608251:0.000000:0.000000
qs q:@0.421821:0.636626:0.455813:0.634431:0.455813:0.618996:0.421821:0.621191:0.000000:0.000000:0.000000:0.000000
,     0,     0.:@0.439482:0.634431:0.536418:0.634431:0.536418:0.618718:0.439482:0.618718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
?:@0.459697:0.634972:0.475030:0.634972:0.475030:0.619800:0.459697:0.619800:0.000000
s:@0.494855:0.634431:0.501224:0.634431:0.501224:0.618996:0.494855:0.618996:0.000000
?:@0.505108:0.634972:0.520441:0.634972:0.520441:0.619800:0.505108:0.619800:0.000000
Las imágenes de funciones racionales son números reales, por lo tanto, las operaciones :@0.073071:0.663582:0.710763:0.663582:0.710763:0.647869:0.073071:0.647869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con funciones racionales heredan las propiedades algebraicas de los números reales. Por :@0.073071:0.680224:0.710161:0.680224:0.710161:0.664511:0.073071:0.664511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otro lado, para calcular el producto de dos funciones, la operación se realiza en cada uno :@0.073071:0.696865:0.710932:0.696865:0.710932:0.681153:0.073071:0.681153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los puntos en los que están bien definidas. Es preciso observar si es o no posible :@0.073071:0.713507:0.710069:0.713507:0.710069:0.697795:0.073071:0.697795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simplificar la escritura de::@0.073071:0.730149:0.254596:0.730149:0.254596:0.714436:0.073071:0.714436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x r x:@0.078297:0.756264:0.122382:0.756264:0.122382:0.740829:0.078297:0.740829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ( ):@0.087556:0.756264:0.127260:0.756264:0.127260:0.740552:0.087556:0.740552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q x s x:@0.074785:0.772776:0.123988:0.772776:0.123988:0.757341:0.074785:0.757341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  ( ):@0.084044:0.772776:0.128866:0.772776:0.128866:0.757064:0.084044:0.757064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,   :@0.128556:0.762780:0.143632:0.762780:0.143632:0.747067:0.128556:0.747067:0.000000:0.000000:0.000000:0.000000
;:@0.143531:0.762225:0.155808:0.762225:0.155808:0.748509:0.143531:0.748509:0.000000
x:@0.155716:0.762780:0.163171:0.762780:0.163171:0.747344:0.155716:0.747344:0.000000
   :@0.163097:0.762780:0.186327:0.762780:0.186327:0.747067:0.163097:0.747067:0.000000:0.000000:0.000000
[:@0.167055:0.762641:0.182388:0.762641:0.182388:0.748593:0.167055:0.748593:0.000000
Dom f:@0.186254:0.762780:0.231149:0.762780:0.231149:0.747344:0.186254:0.747344:0.000000:0.000000:0.000000:0.000000:0.000000
( )   :@0.221651:0.762780:0.259091:0.762780:0.259091:0.747067:0.221651:0.747067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
>:@0.239819:0.762641:0.255152:0.762641:0.255152:0.748593:0.239819:0.748593:0.000000
Dom g:@0.259018:0.762780:0.308478:0.762780:0.308478:0.747344:0.259018:0.747344:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.294415:0.762780:0.316411:0.762780:0.316411:0.747067:0.294415:0.747067:0.000000:0.000000:0.000000:0.000000
Dadas las funciones racionales  ,  , la función   está definida únicamente en el conjunto :@0.073086:0.791931:0.710607:0.791931:0.710607:0.776218:0.073086:0.776218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.295335:0.791931:0.315896:0.791931:0.315896:0.776495:0.295335:0.776495:0.000000:0.000000:0.000000
fg:@0.397367:0.791931:0.411246:0.791931:0.411246:0.776495:0.397367:0.776495:0.000000:0.000000
Dom f:@0.073086:0.808573:0.117466:0.808573:0.117466:0.793137:0.073086:0.793137:0.000000:0.000000:0.000000:0.000000:0.000000
( )   :@0.108130:0.808573:0.144120:0.808573:0.144120:0.792860:0.108130:0.792860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
>:@0.125013:0.808434:0.140346:0.808434:0.140346:0.794385:0.125013:0.794385:0.000000
Dom g:@0.143162:0.808573:0.192107:0.808573:0.192107:0.793137:0.143162:0.793137:0.000000:0.000000:0.000000:0.000000:0.000000
( ). Dada la función racional  , se denota  ·     ,         , y así sucesivamente.:@0.178206:0.808573:0.706447:0.808573:0.706447:0.792860:0.178206:0.792860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.374983:0.808573:0.379677:0.808573:0.379677:0.793137:0.374983:0.793137:0.000000
f f:@0.458313:0.808573:0.470499:0.808573:0.470499:0.793137:0.458313:0.793137:0.000000:0.000000:0.000000
5:@0.473389:0.808018:0.488722:0.808018:0.488722:0.794302:0.473389:0.794302:0.000000
f f:@0.491538:0.808573:0.514954:0.808573:0.514954:0.793137:0.491538:0.793137:0.000000:0.000000:0.000000
2:@0.496026:0.802509:0.501263:0.802509:0.501263:0.793348:0.496026:0.793348:0.000000
3:@0.514760:0.802509:0.519997:0.802509:0.519997:0.793348:0.514760:0.793348:0.000000
5:@0.522938:0.808018:0.538271:0.808018:0.538271:0.794302:0.522938:0.794302:0.000000
f f:@0.541087:0.808573:0.558464:0.808573:0.558464:0.793137:0.541087:0.793137:0.000000:0.000000:0.000000
2:@0.545592:0.802509:0.550829:0.802509:0.550829:0.793348:0.545592:0.793348:0.000000
Sean  ,   polinomios reales de grado   2,:@0.073101:0.837723:0.374704:0.837723:0.374704:0.822011:0.073101:0.822011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p q:@0.112511:0.837723:0.138023:0.837723:0.138023:0.822288:0.112511:0.822288:0.000000:0.000000:0.000000
#:@0.343393:0.837169:0.358726:0.837169:0.358726:0.823453:0.343393:0.823453:0.000000
A:@0.309984:0.866874:0.319869:0.866874:0.319869:0.851439:0.309984:0.851439:0.000000
   {      |  ( )   0},:@0.319795:0.866874:0.469428:0.866874:0.469428:0.851162:0.319795:0.851162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.323753:0.866320:0.339086:0.866320:0.339086:0.852604:0.323753:0.852604:0.000000
x:@0.347737:0.866874:0.355192:0.866874:0.355192:0.851439:0.347737:0.851439:0.000000
[:@0.359076:0.866736:0.374409:0.866736:0.374409:0.852687:0.359076:0.852687:0.000000
R:@0.378275:0.866015:0.391565:0.866015:0.391565:0.853117:0.378275:0.853117:0.000000
q x:@0.403198:0.866874:0.424643:0.866874:0.424643:0.851439:0.403198:0.851439:0.000000:0.000000:0.000000
5:@0.433313:0.866320:0.448646:0.866320:0.448646:0.852604:0.433313:0.852604:0.000000
B :@0.310849:0.896025:0.322924:0.896025:0.322924:0.880590:0.310849:0.880590:0.000000:0.000000
5:@0.322869:0.895471:0.338202:0.895471:0.338202:0.881755:0.322869:0.881755:0.000000
 {      |  ( )   0}, :@0.338110:0.896025:0.472575:0.896025:0.472575:0.880313:0.338110:0.880313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.346854:0.896025:0.354309:0.896025:0.354309:0.880590:0.346854:0.880590:0.000000
[:@0.358193:0.895887:0.373526:0.895887:0.373526:0.881838:0.358193:0.881838:0.000000
R:@0.377391:0.895166:0.390681:0.895166:0.390681:0.882268:0.377391:0.882268:0.000000
p x:@0.402315:0.896025:0.423759:0.896025:0.423759:0.880590:0.402315:0.880590:0.000000:0.000000:0.000000
5:@0.432429:0.895471:0.447762:0.895471:0.447762:0.881755:0.432429:0.881755:0.000000
f:@0.073064:0.931029:0.077758:0.931029:0.077758:0.915593:0.073064:0.915593:0.000000
 la función racional definida como   ( )   :@0.077684:0.931029:0.376581:0.931029:0.376581:0.915316:0.077684:0.915316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.331760:0.931029:0.348639:0.931029:0.348639:0.915593:0.331760:0.915593:0.000000:0.000000:0.000000
5:@0.357309:0.930474:0.372642:0.930474:0.372642:0.916758:0.357309:0.916758:0.000000
p x:@0.380641:0.921954:0.402233:0.921954:0.402233:0.906519:0.380641:0.906519:0.000000:0.000000:0.000000
( ):@0.389900:0.921954:0.407111:0.921954:0.407111:0.906241:0.389900:0.906241:0.000000:0.000000:0.000000
q x:@0.379978:0.938707:0.401570:0.938707:0.401570:0.923271:0.379978:0.923271:0.000000:0.000000:0.000000
( ):@0.389237:0.938707:0.406448:0.938707:0.406448:0.922994:0.389237:0.922994:0.000000:0.000000:0.000000
, :@0.409654:0.931023:0.416815:0.931023:0.416815:0.915310:0.409654:0.915310:0.000000:0.000000
;:@0.416723:0.930468:0.429000:0.930468:0.429000:0.916753:0.416723:0.916753:0.000000
x:@0.428908:0.931023:0.436363:0.931023:0.436363:0.915588:0.428908:0.915588:0.000000
     \     :@0.436290:0.931023:0.519914:0.931023:0.519914:0.915310:0.436290:0.915310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.440247:0.930884:0.455580:0.930884:0.455580:0.916836:0.440247:0.916836:0.000000
R:@0.459446:0.930163:0.472736:0.930163:0.472736:0.917266:0.459446:0.917266:0.000000
A:@0.486873:0.931023:0.496757:0.931023:0.496757:0.915588:0.486873:0.915588:0.000000
5:@0.500641:0.930468:0.515975:0.930468:0.515975:0.916753:0.500641:0.916753:0.000000
Dom f:@0.519840:0.931023:0.564735:0.931023:0.564735:0.915588:0.519840:0.915588:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.555237:0.931023:0.572669:0.931023:0.572669:0.915310:0.555237:0.915310:0.000000:0.000000:0.000000:0.000000
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