53:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento espacial, numérico y variacional:@0.522009:0.043661:0.926913:0.043661:0.926913:0.024916:0.522009:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EBC 11. Combina y transforma funciones mediante operaciones aritméticas o la composición e inversión de funciones.:@0.078576:0.969024:0.701630:0.969024:0.701630:0.957596:0.078576:0.957596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las propiedades de la :@0.744288:0.395681:0.883861:0.395681:0.883861:0.382111:0.744288:0.382111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adición de funciones  son::@0.744288:0.410054:0.907393:0.410054:0.907393:0.396484:0.744288:0.396484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.744288:0.424426:0.758166:0.424426:0.758166:0.410856:0.744288:0.410856:0.000000:0.000000:0.000000
Conmutativa:@0.758589:0.424426:0.846893:0.424426:0.846893:0.409790:0.758589:0.409790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Para todo  :@0.846802:0.424426:0.917896:0.424426:0.917896:0.410856:0.846802:0.410856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  f, g :@0.744288:0.444159:0.778411:0.444159:0.778411:0.430829:0.744288:0.430829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[ :@0.778373:0.444039:0.795510:0.444039:0.795510:0.431907:0.778373:0.431907:0.000000:0.000000
F A , f   g   g   f.:@0.795432:0.444159:0.905854:0.444159:0.905854:0.430829:0.795432:0.430829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.802315:0.444662:0.817767:0.444662:0.817767:0.429415:0.802315:0.429415:0.000000:0.000000:0.000000
1 5 1:@0.830119:0.443680:0.896776:0.443680:0.896776:0.431835:0.830119:0.431835:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.744288:0.458532:0.758166:0.458532:0.758166:0.444962:0.744288:0.444962:0.000000:0.000000:0.000000
Asociativa:@0.758589:0.458532:0.828546:0.458532:0.828546:0.443896:0.758589:0.443896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Para todo  :@0.828473:0.458532:0.901524:0.458532:0.901524:0.444962:0.828473:0.444962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f, g, h    F A ,:@0.744297:0.478270:0.821605:0.478265:0.821605:0.464934:0.744297:0.464939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.780495:0.478145:0.793738:0.478145:0.793738:0.466012:0.780495:0.466012:0.000000
S D:@0.803355:0.478768:0.818807:0.478768:0.818807:0.463521:0.803355:0.463521:0.000000:0.000000:0.000000
S:@0.744281:0.493140:0.747811:0.493140:0.747811:0.477894:0.744281:0.477894:0.000000
f   g    h   f    g   h .:@0.747731:0.492637:0.894971:0.492637:0.894971:0.479307:0.747731:0.479307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.754535:0.492158:0.767777:0.492158:0.767777:0.480313:0.754535:0.480313:0.000000
D:@0.778444:0.493140:0.781974:0.493140:0.781974:0.477894:0.778444:0.477894:0.000000
1 5 1:@0.784692:0.492158:0.847613:0.492158:0.847613:0.480313:0.784692:0.480313:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.850331:0.493140:0.853861:0.493140:0.853861:0.477894:0.850331:0.477894:0.000000
1:@0.864528:0.492158:0.877770:0.492158:0.877770:0.480313:0.864528:0.480313:0.000000
D:@0.888644:0.493140:0.892173:0.493140:0.892173:0.477894:0.888644:0.477894:0.000000
3. Existencia de elemento :@0.744288:0.507010:0.920873:0.507010:0.920873:0.492613:0.744288:0.492613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
neutro.:@0.758522:0.521382:0.807256:0.521382:0.807256:0.506986:0.758522:0.506986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Existe  :@0.807485:0.521382:0.858588:0.521382:0.858588:0.507812:0.807485:0.507812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f    F A ,:@0.860232:0.521382:0.917433:0.521382:0.917433:0.508052:0.860232:0.508052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o:@0.864462:0.524121:0.869096:0.524121:0.869096:0.516350:0.864462:0.516350:0.000000
[:@0.873430:0.521263:0.886672:0.521263:0.886672:0.509130:0.873430:0.509130:0.000000
S D:@0.898277:0.521885:0.914302:0.521885:0.914302:0.506639:0.898277:0.506639:0.000000:0.000000:0.000000
 :@0.917433:0.521382:0.920915:0.521382:0.920915:0.507812:0.917433:0.507812:0.000000
tal que para todo  :@0.758525:0.535755:0.870955:0.535755:0.870955:0.522185:0.758525:0.522185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f   F A ,:@0.870473:0.535755:0.917433:0.535755:0.917433:0.522424:0.870473:0.522424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.876912:0.535635:0.890154:0.535635:0.890154:0.523502:0.876912:0.523502:0.000000
S D:@0.899342:0.536258:0.914699:0.536258:0.914699:0.521011:0.899342:0.521011:0.000000:0.000000:0.000000
  f   f    f    f   f .:@0.744288:0.555488:0.868440:0.555488:0.868440:0.542158:0.744288:0.542158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 5 1 5:@0.765319:0.555009:0.856056:0.555009:0.856056:0.543164:0.765319:0.543164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o:@0.785283:0.558227:0.789917:0.558227:0.789917:0.550456:0.785283:0.550456:0.000000
o:@0.812651:0.558227:0.817285:0.558227:0.817285:0.550456:0.812651:0.550456:0.000000
4. Existencia de opuestos :@0.744288:0.569861:0.920815:0.569861:0.920815:0.555464:0.744288:0.555464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aditivos.:@0.758522:0.584233:0.816418:0.584233:0.816418:0.569837:0.758522:0.569837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.816833:0.584233:0.820123:0.584233:0.820123:0.569597:0.816833:0.569597:0.000000
Para cada :@0.822635:0.584233:0.892109:0.584233:0.892109:0.570663:0.822635:0.570663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f   :@0.894777:0.584233:0.920292:0.584233:0.920292:0.570903:0.894777:0.570903:0.000000:0.000000:0.000000:0.000000
[:@0.904188:0.584113:0.917430:0.584113:0.917430:0.571980:0.904188:0.571980:0.000000
F A:@0.758522:0.598606:0.778028:0.598606:0.778028:0.585275:0.758522:0.585275:0.000000:0.000000:0.000000
S D:@0.765676:0.599109:0.781764:0.599109:0.781764:0.583862:0.765676:0.583862:0.000000:0.000000:0.000000
,  existe :@0.782050:0.598606:0.837068:0.598606:0.837068:0.585035:0.782050:0.585035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g   F A ,:@0.838928:0.598606:0.895842:0.598606:0.895842:0.585275:0.838928:0.585275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.851520:0.598486:0.864763:0.598486:0.864763:0.586353:0.851520:0.586353:0.000000
S D:@0.876590:0.599109:0.892678:0.599109:0.892678:0.583862:0.876590:0.583862:0.000000:0.000000:0.000000
 tal :@0.896048:0.598606:0.920880:0.598606:0.920880:0.585035:0.896048:0.585035:0.000000:0.000000:0.000000:0.000000:0.000000
que  :@0.758490:0.612978:0.789967:0.612978:0.789967:0.599408:0.758490:0.599408:0.000000:0.000000:0.000000:0.000000:0.000000
f   g   f:@0.789871:0.612978:0.843397:0.612978:0.843397:0.599648:0.789871:0.599648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 5:@0.796675:0.612499:0.836625:0.612499:0.836625:0.600654:0.796675:0.600654:0.000000:0.000000:0.000000
o:@0.843374:0.615717:0.848008:0.615717:0.848008:0.607945:0.843374:0.607945:0.000000
 . :@0.847974:0.612978:0.857640:0.612978:0.857640:0.599408:0.847974:0.599408:0.000000:0.000000:0.000000
  Esta función   se denota :@0.744288:0.632711:0.915471:0.632711:0.915471:0.619141:0.744288:0.619141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.838560:0.632711:0.846556:0.632711:0.846556:0.619381:0.838560:0.619381:0.000000
2:@0.758518:0.646605:0.771760:0.646605:0.771760:0.634759:0.758518:0.634759:0.000000
f:@0.771681:0.647084:0.775734:0.647084:0.775734:0.633753:0.771681:0.633753:0.000000
,:@0.775671:0.647084:0.778437:0.647084:0.778437:0.633514:0.775671:0.633514:0.000000
  así,      :@0.744288:0.661456:0.812294:0.661456:0.812294:0.647886:0.744288:0.647886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.784299:0.661456:0.792295:0.661456:0.792295:0.648126:0.784299:0.648126:0.000000
5 2:@0.795649:0.660977:0.825472:0.660977:0.825472:0.649132:0.795649:0.649132:0.000000:0.000000:0.000000
f:@0.825393:0.661456:0.829447:0.661456:0.829447:0.648126:0.825393:0.648126:0.000000
.:@0.829383:0.661456:0.832149:0.661456:0.832149:0.647886:0.829383:0.647886:0.000000
  Para cada :@0.744288:0.675829:0.821700:0.675829:0.821700:0.662259:0.744288:0.662259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x   A, f x    :@0.821585:0.675829:0.898337:0.675829:0.898337:0.662498:0.821585:0.662498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.830774:0.675709:0.844016:0.675709:0.844016:0.663576:0.830774:0.663576:0.000000
( ):@0.864841:0.675829:0.879578:0.675829:0.879578:0.662259:0.864841:0.662259:0.000000:0.000000:0.000000
[:@0.882312:0.675709:0.895555:0.675709:0.895555:0.663576:0.882312:0.663576:0.000000
R:@0.898273:0.675086:0.909751:0.675086:0.909751:0.663947:0.898273:0.663947:0.000000
  luego :@0.744288:0.690201:0.798306:0.690201:0.798306:0.676631:0.744288:0.676631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.798208:0.689722:0.811450:0.689722:0.811450:0.677877:0.798208:0.677877:0.000000
f x:@0.811371:0.690201:0.825949:0.690201:0.825949:0.676871:0.811371:0.676871:0.000000:0.000000:0.000000
( )     es tal :@0.815361:0.690201:0.900618:0.690201:0.900618:0.676631:0.815361:0.676631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.833436:0.690081:0.846678:0.690081:0.846678:0.677949:0.833436:0.677949:0.000000
R:@0.850017:0.689459:0.861495:0.689459:0.861495:0.678320:0.850017:0.678320:0.000000
que f x    :@0.758513:0.704574:0.824295:0.704574:0.824295:0.691004:0.758513:0.691004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.790577:0.705077:0.804312:0.705077:0.804312:0.689830:0.790577:0.689830:0.000000:0.000000:0.000000
1 2:@0.807651:0.704095:0.840924:0.704095:0.840924:0.692249:0.807651:0.692249:0.000000:0.000000:0.000000
S:@0.824232:0.705077:0.827761:0.705077:0.827761:0.689830:0.824232:0.689830:0.000000
f x:@0.840844:0.704574:0.854722:0.704574:0.854722:0.691243:0.840844:0.691243:0.000000:0.000000:0.000000
S DD:@0.844834:0.705077:0.861638:0.705077:0.861638:0.689830:0.844834:0.689830:0.000000:0.000000:0.000000:0.000000
   0. :@0.861558:0.704574:0.895499:0.704574:0.895499:0.691004:0.861558:0.691004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.864976:0.704095:0.878218:0.704095:0.878218:0.692249:0.864976:0.692249:0.000000
Se define la función  f :@0.758529:0.718946:0.906150:0.718946:0.906150:0.705376:0.758529:0.705376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.885340:0.718467:0.898583:0.718467:0.898583:0.706622:0.885340:0.706622:0.000000
como :@0.758529:0.733319:0.798844:0.733319:0.798844:0.719749:0.758529:0.719749:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.744288:0.747691:0.747770:0.747691:0.747770:0.734121:0.744288:0.734121:0.000000
S:@0.758519:0.748194:0.762048:0.748194:0.762048:0.732947:0.758519:0.732947:0.000000
2:@0.761968:0.747212:0.775211:0.747212:0.775211:0.735367:0.761968:0.735367:0.000000
f x:@0.775131:0.747691:0.792459:0.747691:0.792459:0.734361:0.775131:0.734361:0.000000:0.000000:0.000000
DS D:@0.779121:0.748194:0.795925:0.748194:0.795925:0.732947:0.779121:0.732947:0.000000:0.000000:0.000000:0.000000
   :@0.795845:0.747691:0.815907:0.747691:0.815907:0.734121:0.795845:0.734121:0.000000:0.000000:0.000000
5 2:@0.799263:0.747212:0.829086:0.747212:0.829086:0.735367:0.799263:0.735367:0.000000:0.000000:0.000000
f x:@0.829007:0.747691:0.842885:0.747691:0.842885:0.734361:0.829007:0.734361:0.000000:0.000000:0.000000
S D:@0.832997:0.748194:0.846350:0.748194:0.846350:0.732947:0.832997:0.732947:0.000000:0.000000:0.000000
, :@0.846271:0.747691:0.852455:0.747691:0.852455:0.734121:0.846271:0.734121:0.000000:0.000000
;:@0.852375:0.747212:0.862979:0.747212:0.862979:0.735367:0.852375:0.735367:0.000000
x   A.:@0.862899:0.747691:0.899399:0.747691:0.899399:0.734361:0.862899:0.734361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.872088:0.747571:0.885330:0.747571:0.885330:0.735439:0.872088:0.735439:0.000000
  Se tiene     :@0.744288:0.762064:0.836247:0.762064:0.836247:0.748494:0.744288:0.748494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.812194:0.762064:0.816248:0.762064:0.816248:0.748733:0.812194:0.748733:0.000000
1 2 5:@0.819602:0.761585:0.876896:0.761585:0.876896:0.749739:0.819602:0.749739:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.836183:0.762567:0.839712:0.762567:0.839712:0.747320:0.836183:0.747320:0.000000
f:@0.852796:0.762064:0.856849:0.762064:0.856849:0.748733:0.852796:0.748733:0.000000
D:@0.856786:0.762567:0.860315:0.762567:0.860315:0.747320:0.856786:0.747320:0.000000
    .:@0.860235:0.762064:0.891466:0.762064:0.891466:0.748494:0.860235:0.748494:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.880234:0.762064:0.884288:0.762064:0.884288:0.748733:0.880234:0.748733:0.000000
0:@0.884218:0.764803:0.888741:0.764803:0.888741:0.756891:0.884218:0.756891:0.000000
Competencia :@0.740294:0.353029:0.848854:0.353029:0.848854:0.336082:0.740294:0.336082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.369671:0.837769:0.369671:0.837769:0.352724:0.740294:0.352724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Consideremos :@0.073089:0.135765:0.212007:0.135765:0.212007:0.120052:0.073089:0.120052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A    ,  f, g:@0.211856:0.135765:0.287455:0.135765:0.287455:0.120329:0.211856:0.120329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.224926:0.135210:0.240259:0.135210:0.240259:0.121494:0.224926:0.121494:0.000000
R:@0.243406:0.134905:0.256697:0.134905:0.256697:0.122007:0.243406:0.122007:0.000000
 :@0.259863:0.135765:0.263894:0.135765:0.263894:0.120052:0.259863:0.120052:0.000000
 las funciones reales definidas como:@0.287400:0.135765:0.547708:0.135765:0.547708:0.120052:0.287400:0.120052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.163306:0.077120:0.163306:0.077120:0.147593:0.073089:0.147593:0.000000
f x     x  , g x    x    ,    x :@0.133331:0.163306:0.324526:0.163306:0.324526:0.147870:0.133331:0.147870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.137951:0.163888:0.153413:0.163888:0.153413:0.146234:0.137951:0.146234:0.000000:0.000000:0.000000
5:@0.156561:0.162751:0.171894:0.162751:0.171894:0.149035:0.156561:0.149035:0.000000
1:@0.178357:0.161740:0.187748:0.161740:0.187748:0.145313:0.178357:0.145313:0.000000
4:@0.178357:0.178123:0.187748:0.178123:0.187748:0.161696:0.178357:0.161696:0.000000
2:@0.200384:0.166478:0.204870:0.166478:0.204870:0.157317:0.200384:0.157317:0.000000
S D:@0.223783:0.163888:0.239245:0.163888:0.239245:0.146234:0.223783:0.146234:0.000000:0.000000:0.000000
5 2:@0.242393:0.162751:0.286846:0.162751:0.286846:0.149035:0.242393:0.149035:0.000000:0.000000:0.000000
2:@0.289994:0.163306:0.297688:0.163306:0.297688:0.147593:0.289994:0.147593:0.000000
[ :@0.324507:0.163167:0.344350:0.163167:0.344350:0.149118:0.324507:0.149118:0.000000:0.000000
R:@0.344258:0.162446:0.357548:0.162446:0.357548:0.149548:0.344258:0.149548:0.000000
. :@0.357456:0.163306:0.364028:0.163306:0.364028:0.147870:0.357456:0.147870:0.000000:0.000000
La función :@0.363972:0.163306:0.444081:0.163306:0.444081:0.147593:0.363972:0.147593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f   g:@0.443934:0.163306:0.479552:0.163306:0.479552:0.147870:0.443934:0.147870:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.451812:0.164013:0.467145:0.164013:0.467145:0.150297:0.451812:0.150297:0.000000
 se define como:@0.479496:0.163306:0.595628:0.163306:0.595628:0.147593:0.479496:0.147593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.199123:0.077120:0.199123:0.077120:0.183411:0.073089:0.183411:0.000000
S:@0.133331:0.199706:0.137417:0.199706:0.137417:0.182052:0.133331:0.182052:0.000000
f   g x    f x    g  x     x    x    ,   x :@0.137325:0.199123:0.419055:0.199123:0.419055:0.183688:0.137325:0.183688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.145203:0.198569:0.160537:0.198569:0.160537:0.184853:0.145203:0.184853:0.000000
DS D:@0.172888:0.199706:0.192344:0.199706:0.192344:0.182052:0.172888:0.182052:0.000000:0.000000:0.000000:0.000000
5:@0.195492:0.198569:0.210825:0.198569:0.210825:0.184853:0.195492:0.184853:0.000000
S D:@0.218612:0.199706:0.234074:0.199706:0.234074:0.182052:0.218612:0.182052:0.000000:0.000000:0.000000
1:@0.237221:0.198569:0.252555:0.198569:0.252555:0.184853:0.237221:0.184853:0.000000
S D:@0.268145:0.199706:0.283608:0.199706:0.283608:0.182052:0.268145:0.182052:0.000000:0.000000:0.000000
5:@0.286755:0.198569:0.302088:0.198569:0.302088:0.184853:0.286755:0.184853:0.000000
1:@0.308563:0.191406:0.314202:0.191406:0.314202:0.174979:0.308563:0.174979:0.000000
4:@0.308563:0.207790:0.317954:0.207790:0.317954:0.191363:0.308563:0.191363:0.000000
2:@0.330590:0.202296:0.335076:0.202296:0.335076:0.193135:0.330590:0.193135:0.000000
 :@0.335033:0.193062:0.336965:0.193062:0.336965:0.184064:0.335033:0.184064:0.000000
1 2:@0.340162:0.198569:0.384615:0.198569:0.384615:0.184853:0.340162:0.184853:0.000000:0.000000:0.000000
2:@0.387763:0.199123:0.395457:0.199123:0.395457:0.183411:0.387763:0.183411:0.000000
[ :@0.419019:0.198985:0.438862:0.198985:0.438862:0.184936:0.419019:0.184936:0.000000:0.000000
R:@0.438770:0.198264:0.452060:0.198264:0.452060:0.185366:0.438770:0.185366:0.000000
.:@0.451968:0.199123:0.455299:0.199123:0.455299:0.183688:0.451968:0.183688:0.000000
 :@0.073089:0.230059:0.077120:0.230059:0.077120:0.214347:0.073089:0.214347:0.000000
Calculemos algunos valores de:@0.133336:0.230059:0.357486:0.230059:0.357486:0.214347:0.133336:0.214347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 f x , g x   y   f   g   x , x :@0.357214:0.230059:0.511282:0.230059:0.511282:0.214624:0.357214:0.214624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D S D:@0.365092:0.230642:0.411626:0.230642:0.411626:0.212988:0.365092:0.212988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.431929:0.230642:0.436015:0.230642:0.436015:0.212988:0.431929:0.212988:0.000000
1:@0.443801:0.229505:0.459135:0.229505:0.459135:0.215789:0.443801:0.215789:0.000000
D S D:@0.471486:0.230642:0.494182:0.230642:0.494182:0.212988:0.471486:0.212988:0.000000:0.000000:0.000000:0.000000:0.000000
[ :@0.511246:0.229921:0.531089:0.229921:0.531089:0.215872:0.511246:0.215872:0.000000:0.000000
R:@0.530997:0.229200:0.544287:0.229200:0.544287:0.216302:0.530997:0.216302:0.000000
.:@0.544195:0.230059:0.547526:0.230059:0.547526:0.214624:0.544195:0.214624:0.000000
x:@0.183113:0.269072:0.191801:0.269072:0.191801:0.253373:0.183113:0.253373:0.000000
f x      x:@0.230493:0.271388:0.302440:0.271382:0.302440:0.255683:0.230493:0.255689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.236089:0.271388:0.255711:0.271388:0.255711:0.254441:0.236089:0.254441:0.000000:0.000000:0.000000
5:@0.258932:0.270833:0.274266:0.270833:0.274266:0.257118:0.258932:0.257118:0.000000
1:@0.279967:0.262500:0.288039:0.262500:0.288039:0.248634:0.279967:0.248634:0.000000
4:@0.279967:0.276365:0.288039:0.276365:0.288039:0.262500:0.279967:0.262500:0.000000
 :@0.288039:0.276365:0.291337:0.276365:0.291337:0.263510:0.288039:0.263510:0.000000
2:@0.302380:0.265318:0.308132:0.265318:0.308132:0.255438:0.302380:0.255438:0.000000
g x:@0.328534:0.269072:0.352610:0.269072:0.352610:0.253373:0.328534:0.253373:0.000000:0.000000:0.000000
( ):@0.338455:0.269072:0.358077:0.269072:0.358077:0.252125:0.338455:0.252125:0.000000:0.000000:0.000000
5 2:@0.358004:0.268517:0.403801:0.268517:0.403801:0.254802:0.358004:0.254802:0.000000:0.000000:0.000000
 x     :@0.373245:0.269072:0.420238:0.269072:0.420238:0.253373:0.373245:0.253373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.407004:0.269072:0.416870:0.269072:0.416870:0.252125:0.407004:0.252125:0.000000
(:@0.435112:0.271388:0.440652:0.271388:0.440652:0.254441:0.435112:0.254441:0.000000
f + g x  :@0.440578:0.271388:0.502003:0.271388:0.502003:0.255689:0.440578:0.255689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
)( ):@0.473619:0.271388:0.498709:0.271388:0.498709:0.254441:0.473619:0.254441:0.000000:0.000000:0.000000:0.000000
5:@0.501930:0.270833:0.517263:0.270833:0.517263:0.257118:0.501930:0.257118:0.000000
1:@0.519666:0.262500:0.527738:0.262500:0.527738:0.248634:0.519666:0.248634:0.000000
4:@0.519666:0.276365:0.527738:0.276365:0.527738:0.262500:0.519666:0.262500:0.000000
 :@0.527738:0.276365:0.531037:0.276365:0.531037:0.263510:0.527738:0.263510:0.000000
 x    x :@0.530157:0.271382:0.581600:0.271382:0.581600:0.255683:0.530157:0.255683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.542078:0.265318:0.547830:0.265318:0.547830:0.255438:0.542078:0.255438:0.000000
1 2:@0.551081:0.270827:0.596878:0.270827:0.596878:0.257111:0.551081:0.257111:0.000000:0.000000:0.000000
2:@0.596786:0.271382:0.606652:0.271382:0.606652:0.254435:0.596786:0.254435:0.000000
2:@0.176997:0.299576:0.190239:0.299576:0.190239:0.287730:0.176997:0.287730:0.000000
2:@0.190159:0.300055:0.197917:0.300055:0.197917:0.286485:0.190159:0.286485:0.000000
1:@0.264818:0.301236:0.273800:0.301236:0.273800:0.285523:0.264818:0.285523:0.000000
2:@0.361635:0.300284:0.374877:0.300284:0.374877:0.288439:0.361635:0.288439:0.000000
4:@0.374798:0.301236:0.383780:0.301236:0.383780:0.285523:0.374798:0.285523:0.000000
2:@0.509818:0.300284:0.523061:0.300284:0.523061:0.288439:0.509818:0.288439:0.000000
3:@0.522981:0.301236:0.531964:0.301236:0.531964:0.285523:0.522981:0.285523:0.000000
2:@0.175342:0.329278:0.190675:0.329278:0.190675:0.315562:0.175342:0.315562:0.000000
1:@0.190583:0.329832:0.199566:0.329832:0.199566:0.314120:0.190583:0.314120:0.000000
1/4:@0.257180:0.329832:0.281459:0.329832:0.281459:0.314120:0.257180:0.314120:0.000000:0.000000:0.000000
2:@0.361635:0.328874:0.374877:0.328874:0.374877:0.317029:0.361635:0.317029:0.000000
3:@0.374798:0.329826:0.383780:0.329826:0.383780:0.314113:0.374798:0.314113:0.000000
2:@0.497726:0.328874:0.510969:0.328874:0.510969:0.317029:0.497726:0.317029:0.000000
11/4:@0.510889:0.329826:0.544077:0.329826:0.544077:0.314113:0.510889:0.314113:0.000000:0.000000:0.000000:0.000000
0:@0.182964:0.358422:0.191947:0.358422:0.191947:0.342710:0.182964:0.342710:0.000000
0:@0.264821:0.358422:0.273804:0.358422:0.273804:0.342710:0.264821:0.342710:0.000000
2:@0.361635:0.357465:0.374877:0.357465:0.374877:0.345620:0.361635:0.345620:0.000000
2:@0.374798:0.358417:0.383780:0.358417:0.383780:0.342705:0.374798:0.342705:0.000000
2:@0.502177:0.357465:0.515420:0.357465:0.515420:0.345620:0.502177:0.345620:0.000000
2/3:@0.515340:0.358417:0.539620:0.358417:0.539620:0.342705:0.515340:0.342705:0.000000:0.000000:0.000000
1:@0.182961:0.387013:0.191943:0.387013:0.191943:0.371301:0.182961:0.371301:0.000000
1/4:@0.257179:0.387013:0.281458:0.387013:0.281458:0.371301:0.257179:0.371301:0.000000:0.000000:0.000000
2:@0.361635:0.386055:0.374877:0.386055:0.374877:0.374210:0.361635:0.374210:0.000000
1:@0.374798:0.387007:0.383780:0.387007:0.383780:0.371294:0.374798:0.371294:0.000000
2:@0.502177:0.386055:0.515420:0.386055:0.515420:0.374210:0.502177:0.374210:0.000000
3/4:@0.515340:0.387007:0.539620:0.387007:0.539620:0.371294:0.515340:0.371294:0.000000:0.000000:0.000000
2:@0.182961:0.415603:0.191943:0.415603:0.191943:0.399891:0.182961:0.399891:0.000000
1:@0.264818:0.415603:0.273800:0.415603:0.273800:0.399891:0.264818:0.399891:0.000000
0:@0.368211:0.415603:0.377194:0.415603:0.377194:0.399891:0.368211:0.399891:0.000000
1:@0.516390:0.415603:0.525372:0.415603:0.525372:0.399891:0.516390:0.399891:0.000000
En la Figura 6.2. se muestran las gráficas de las funciones :@0.073088:0.449123:0.484217:0.449123:0.484217:0.433410:0.073088:0.433410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f, g y f   g. :@0.483735:0.449123:0.559886:0.449123:0.559886:0.433687:0.483735:0.433687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.525832:0.449830:0.541166:0.449830:0.541166:0.436114:0.525832:0.436114:0.000000
6.2 Demostración propiedades de la adición de funciones :@0.073088:0.476665:0.526970:0.476665:0.526970:0.459718:0.073088:0.459718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se demuestra la propiedad conmutativa de la adición de funciones y el resto de :@0.073088:0.504207:0.710142:0.504207:0.710142:0.488495:0.073088:0.488495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedades se deja como tarea para el estudiante.:@0.073088:0.520849:0.442418:0.520849:0.442418:0.505136:0.073088:0.505136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Sean:@0.073089:0.548381:0.138846:0.548381:0.138846:0.532669:0.073089:0.532669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 f, g   F A . :@0.138743:0.548381:0.216403:0.548381:0.216403:0.532946:0.138743:0.532946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.165562:0.548243:0.180895:0.548243:0.180895:0.534194:0.165562:0.534194:0.000000
S D:@0.192032:0.548964:0.209924:0.548964:0.209924:0.531309:0.192032:0.531309:0.000000:0.000000:0.000000
Entonces, de la definición de :@0.216348:0.548381:0.428219:0.548381:0.428219:0.532669:0.216348:0.532669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f   g,:@0.427958:0.548381:0.466576:0.548381:0.466576:0.532946:0.427958:0.532946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.435836:0.549088:0.451169:0.549088:0.451169:0.535373:0.435836:0.535373:0.000000
 se tiene: :@0.466521:0.548381:0.534204:0.548381:0.534204:0.532669:0.466521:0.532669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.133336:0.576505:0.137422:0.576505:0.137422:0.558850:0.133336:0.558850:0.000000
f   g   x    f  x    g  x    g  x    f  x     g   f   x      x   A,:@0.137326:0.575922:0.535806:0.575922:0.535806:0.560487:0.137326:0.560487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.145204:0.575367:0.160537:0.575367:0.160537:0.561652:0.145204:0.561652:0.000000
D S D:@0.172888:0.576505:0.195585:0.576505:0.195585:0.558850:0.172888:0.558850:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.198732:0.575367:0.214065:0.575367:0.214065:0.561652:0.198732:0.561652:0.000000
S D:@0.225091:0.576505:0.240554:0.576505:0.240554:0.558850:0.225091:0.558850:0.000000:0.000000:0.000000
1:@0.243701:0.575367:0.259034:0.575367:0.259034:0.561652:0.243701:0.561652:0.000000
S D:@0.274625:0.576505:0.290087:0.576505:0.290087:0.558850:0.274625:0.558850:0.000000:0.000000:0.000000
5:@0.293235:0.575367:0.308568:0.575367:0.308568:0.561652:0.293235:0.561652:0.000000
S D:@0.324159:0.576505:0.339621:0.576505:0.339621:0.558850:0.324159:0.558850:0.000000:0.000000:0.000000
1:@0.342769:0.575367:0.358102:0.575367:0.358102:0.561652:0.342769:0.561652:0.000000
S D:@0.369128:0.576505:0.384590:0.576505:0.384590:0.558850:0.369128:0.558850:0.000000:0.000000:0.000000
5:@0.387738:0.575367:0.403071:0.575367:0.403071:0.561652:0.387738:0.561652:0.000000
S:@0.406219:0.576505:0.410305:0.576505:0.410305:0.558850:0.406219:0.558850:0.000000
1:@0.422656:0.575367:0.437990:0.575367:0.437990:0.561652:0.422656:0.561652:0.000000
D S D:@0.445776:0.576505:0.468472:0.576505:0.468472:0.558850:0.445776:0.558850:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.478118:0.576629:0.490395:0.576629:0.490395:0.562914:0.478118:0.562914:0.000000
[:@0.504182:0.575784:0.519515:0.575784:0.519515:0.561735:0.504182:0.561735:0.000000
 :@0.073089:0.603464:0.077120:0.603464:0.077120:0.587752:0.073089:0.587752:0.000000
y por la definición de igualdad de funciones se concluye que: :@0.133336:0.603464:0.580430:0.603464:0.580430:0.587752:0.133336:0.587752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f   g     g   f.:@0.579910:0.603464:0.681996:0.603464:0.681996:0.588029:0.579910:0.588029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.587788:0.602910:0.603121:0.602910:0.603121:0.589194:0.587788:0.589194:0.000000
5:@0.621970:0.602910:0.637303:0.602910:0.637303:0.589194:0.621970:0.589194:0.000000
1:@0.656152:0.602910:0.671486:0.602910:0.671486:0.589194:0.656152:0.589194:0.000000
6.3 Resta:@0.073103:0.631007:0.143912:0.631007:0.143912:0.614060:0.073103:0.614060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición.:@0.073103:0.658549:0.154807:0.658549:0.154807:0.641879:0.073103:0.641879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sean  :@0.154684:0.658549:0.201578:0.658549:0.201578:0.642836:0.154684:0.642836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f, g   F A .:@0.201217:0.658549:0.271165:0.658549:0.271165:0.643114:0.201217:0.643114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.223773:0.658410:0.239107:0.658410:0.239107:0.644362:0.223773:0.644362:0.000000
S D:@0.250033:0.659131:0.267925:0.659131:0.267925:0.641477:0.250033:0.641477:0.000000:0.000000:0.000000
 Como  :@0.271091:0.658549:0.327244:0.658549:0.327244:0.642836:0.271091:0.642836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.326884:0.657994:0.342217:0.657994:0.342217:0.644279:0.326884:0.644279:0.000000
g   F A  y  f   F A ,:@0.342125:0.658549:0.469945:0.658549:0.469945:0.643114:0.342125:0.643114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.354347:0.658410:0.369680:0.658410:0.369680:0.644362:0.354347:0.644362:0.000000
S D:@0.380596:0.659131:0.398488:0.659131:0.398488:0.641477:0.380596:0.641477:0.000000:0.000000:0.000000
[:@0.422564:0.658410:0.437898:0.658410:0.437898:0.644362:0.422564:0.644362:0.000000
S D:@0.448813:0.659131:0.466705:0.659131:0.466705:0.641477:0.448813:0.641477:0.000000:0.000000:0.000000
 entonces, :@0.469871:0.658549:0.547949:0.658549:0.547949:0.642836:0.469871:0.642836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f    :@0.547568:0.658549:0.576817:0.658549:0.576817:0.643114:0.547568:0.643114:0.000000:0.000000:0.000000:0.000000:0.000000
1 2:@0.558263:0.657994:0.595869:0.657994:0.595869:0.644279:0.558263:0.644279:0.000000:0.000000:0.000000
S:@0.576541:0.659131:0.580628:0.659131:0.580628:0.641477:0.576541:0.641477:0.000000
g    F A:@0.595777:0.658549:0.651164:0.658549:0.651164:0.643114:0.595777:0.643114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.604962:0.659131:0.609048:0.659131:0.609048:0.641477:0.604962:0.641477:0.000000
[:@0.611993:0.658410:0.627327:0.658410:0.627327:0.644362:0.611993:0.644362:0.000000
  que se :@0.651091:0.658549:0.710369:0.658549:0.710369:0.642836:0.651091:0.642836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
define como:@0.073066:0.675191:0.165636:0.675191:0.165636:0.659478:0.073066:0.659478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.210734:0.703315:0.214820:0.703315:0.214820:0.685661:0.210734:0.685661:0.000000
f   :@0.214728:0.702733:0.241161:0.702733:0.241161:0.687298:0.214728:0.687298:0.000000:0.000000:0.000000:0.000000
1 2:@0.222606:0.702178:0.260415:0.702178:0.260415:0.688463:0.222606:0.688463:0.000000:0.000000:0.000000
S:@0.241087:0.703315:0.245174:0.703315:0.245174:0.685661:0.241087:0.685661:0.000000
g   x    f  x    :@0.260323:0.702733:0.358875:0.702733:0.358875:0.687298:0.260323:0.687298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D S D:@0.269508:0.703315:0.292204:0.703315:0.292204:0.685661:0.269508:0.685661:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.295352:0.702178:0.310685:0.702178:0.310685:0.688463:0.295352:0.688463:0.000000
S D:@0.321711:0.703315:0.337173:0.703315:0.337173:0.685661:0.321711:0.685661:0.000000:0.000000:0.000000
1 2:@0.340321:0.702178:0.378129:0.702178:0.378129:0.688463:0.340321:0.688463:0.000000:0.000000:0.000000
S:@0.358802:0.703315:0.362888:0.703315:0.362888:0.685661:0.358802:0.685661:0.000000
g   x    f  x    g  x ,   x   A,:@0.378037:0.702733:0.568534:0.702733:0.568534:0.687298:0.378037:0.687298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D S D:@0.387223:0.703315:0.409919:0.703315:0.409919:0.685661:0.387223:0.685661:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.413066:0.702178:0.428400:0.702178:0.428400:0.688463:0.413066:0.688463:0.000000
S D:@0.439425:0.703315:0.454888:0.703315:0.454888:0.685661:0.439425:0.685661:0.000000:0.000000:0.000000
2:@0.458035:0.702178:0.473368:0.702178:0.473368:0.688463:0.458035:0.688463:0.000000
S D:@0.488959:0.703315:0.504422:0.703315:0.504422:0.685661:0.488959:0.685661:0.000000:0.000000:0.000000
;:@0.510846:0.702178:0.523123:0.702178:0.523123:0.688463:0.510846:0.688463:0.000000
[:@0.536910:0.702594:0.552244:0.702594:0.552244:0.688546:0.536910:0.688546:0.000000
y que se notará como :@0.072955:0.730275:0.234571:0.730275:0.234571:0.714563:0.072955:0.714563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 f   g. :@0.234350:0.730275:0.279455:0.730275:0.279455:0.714840:0.234350:0.714840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.245468:0.729720:0.260802:0.729720:0.260802:0.716005:0.245468:0.716005:0.000000
La resta de funciones reales se define como  :@0.279411:0.730275:0.602447:0.730275:0.602447:0.714563:0.279411:0.714563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f   g   f   :@0.329884:0.757817:0.413600:0.757817:0.413600:0.742382:0.329884:0.742382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 5 1 2:@0.337762:0.757263:0.432854:0.757263:0.432854:0.743547:0.337762:0.743547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.413526:0.758400:0.417613:0.758400:0.417613:0.740746:0.413526:0.740746:0.000000
g .:@0.432762:0.757817:0.449273:0.757817:0.449273:0.742382:0.432762:0.742382:0.000000:0.000000:0.000000
D:@0.441947:0.758400:0.446034:0.758400:0.446034:0.740746:0.441947:0.740746:0.000000
6.4 Producto de funciones:@0.072937:0.785360:0.278075:0.785360:0.278075:0.768413:0.072937:0.768413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición.:@0.072937:0.812902:0.154641:0.812902:0.154641:0.796232:0.072937:0.796232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sean :@0.154518:0.812902:0.197989:0.812902:0.197989:0.797189:0.154518:0.797189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f, g   F A . :@0.197886:0.812902:0.271717:0.812902:0.271717:0.797467:0.197886:0.797467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.220876:0.812763:0.236209:0.812763:0.236209:0.798715:0.220876:0.798715:0.000000
S D:@0.247346:0.813484:0.265238:0.813484:0.265238:0.795830:0.247346:0.795830:0.000000:0.000000:0.000000
El producto de   por   se nota  y se define como::@0.271662:0.812902:0.634782:0.812902:0.634782:0.797189:0.271662:0.797189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.382713:0.812902:0.387407:0.812902:0.387407:0.797467:0.382713:0.797467:0.000000
g:@0.420374:0.812902:0.429633:0.812902:0.429633:0.797467:0.420374:0.797467:0.000000
fg :@0.490432:0.812902:0.507551:0.812902:0.507551:0.797467:0.490432:0.797467:0.000000:0.000000:0.000000
S:@0.300561:0.841027:0.304648:0.841027:0.304648:0.823372:0.300561:0.823372:0.000000
fg x    f x g  x    x   A.:@0.304556:0.840444:0.478671:0.840440:0.478671:0.825005:0.304556:0.825009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
)  ):@0.318379:0.840444:0.343376:0.840444:0.343376:0.824731:0.318379:0.824731:0.000000:0.000000:0.000000:0.000000
S:@0.327123:0.841027:0.331209:0.841027:0.331209:0.823372:0.327123:0.823372:0.000000
5:@0.346542:0.839889:0.361876:0.839889:0.361876:0.826174:0.346542:0.826174:0.000000
S:@0.369829:0.841023:0.373916:0.841023:0.373916:0.823369:0.369829:0.823369:0.000000
):@0.381205:0.840440:0.386083:0.840440:0.386083:0.824728:0.381205:0.824728:0.000000
S:@0.398453:0.841023:0.402539:0.841023:0.402539:0.823369:0.398453:0.823369:0.000000
),:@0.409828:0.840440:0.417835:0.840440:0.417835:0.824728:0.409828:0.824728:0.000000:0.000000
;:@0.420983:0.839886:0.433261:0.839886:0.433261:0.826170:0.420983:0.826170:0.000000
[:@0.447048:0.840302:0.462381:0.840302:0.462381:0.826253:0.447048:0.826253:0.000000
Los :@0.073068:0.867983:0.101463:0.867983:0.101463:0.852270:0.073068:0.852270:0.000000:0.000000:0.000000:0.000000
argumentos:@0.101360:0.867983:0.193952:0.867983:0.193952:0.851313:0.101360:0.851313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que intervienen en el producto de las funciones:@0.193856:0.867983:0.545657:0.867983:0.545657:0.852270:0.193856:0.852270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f  g:@0.073068:0.895525:0.103145:0.895525:0.103145:0.880090:0.073068:0.880090:0.000000:0.000000:0.000000:0.000000
y   son  :@0.081388:0.895525:0.142463:0.895525:0.142463:0.879812:0.081388:0.879812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom f    Dom g    A, :@0.142868:0.895525:0.305809:0.895525:0.305809:0.880090:0.142868:0.880090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.178431:0.896107:0.191261:0.896107:0.191261:0.878453:0.178431:0.878453:0.000000:0.000000:0.000000
5:@0.194868:0.894970:0.210202:0.894970:0.210202:0.881254:0.194868:0.881254:0.000000
S D:@0.249372:0.896107:0.266767:0.896107:0.266767:0.878453:0.249372:0.878453:0.000000:0.000000:0.000000
5:@0.270375:0.894970:0.285708:0.894970:0.285708:0.881254:0.270375:0.881254:0.000000
para cada:@0.306140:0.895525:0.377671:0.895525:0.377671:0.879812:0.306140:0.879812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x   A, f x g x:@0.377689:0.895525:0.477604:0.895525:0.477604:0.880090:0.377689:0.880090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.392397:0.895386:0.407730:0.895386:0.407730:0.881338:0.392397:0.881338:0.000000
S:@0.432856:0.896107:0.436942:0.896107:0.436942:0.878453:0.432856:0.878453:0.000000
), :@0.444360:0.895525:0.456435:0.895525:0.456435:0.879812:0.444360:0.879812:0.000000:0.000000:0.000000
S:@0.466081:0.896107:0.470167:0.896107:0.470167:0.878453:0.466081:0.878453:0.000000
)     Luego,  ), :@0.477585:0.895525:0.606197:0.895525:0.606197:0.879812:0.477585:0.879812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.486863:0.895386:0.502196:0.895386:0.502196:0.881338:0.486863:0.881338:0.000000
R:@0.506595:0.894665:0.519885:0.894665:0.519885:0.881768:0.506595:0.881768:0.000000
f x g x:@0.577942:0.895525:0.627365:0.895525:0.627365:0.880090:0.577942:0.880090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.582617:0.896107:0.586704:0.896107:0.586704:0.878453:0.582617:0.878453:0.000000
S:@0.615842:0.896107:0.619929:0.896107:0.619929:0.878453:0.615842:0.878453:0.000000
)   :@0.627347:0.895525:0.655970:0.895525:0.655970:0.879812:0.627347:0.879812:0.000000:0.000000:0.000000:0.000000
[:@0.636624:0.895386:0.651957:0.895386:0.651957:0.881338:0.636624:0.881338:0.000000
R :@0.656357:0.894665:0.674230:0.894665:0.674230:0.881768:0.656357:0.881768:0.000000:0.000000
es la :@0.674488:0.895525:0.710198:0.895525:0.710198:0.879812:0.674488:0.879812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
imagen de la función   en :@0.072939:0.912167:0.266509:0.912167:0.266509:0.896454:0.072939:0.896454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fg:@0.226971:0.912167:0.240666:0.912167:0.240666:0.896731:0.226971:0.896731:0.000000:0.000000
x   A:@0.266215:0.912167:0.304484:0.912167:0.304484:0.896731:0.266215:0.896731:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.276486:0.912028:0.291819:0.912028:0.291819:0.897980:0.276486:0.897980:0.000000
 que se escribe   :@0.304244:0.912167:0.421013:0.912167:0.421013:0.896454:0.304244:0.896454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D S D:@0.420633:0.912749:0.459859:0.912749:0.459859:0.895095:0.420633:0.895095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fg   x .:@0.424444:0.912167:0.462915:0.912167:0.462915:0.896731:0.424444:0.896731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Resulta  :@0.462657:0.912167:0.526794:0.912167:0.526794:0.896454:0.462657:0.896454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fg   F A . :@0.526659:0.912167:0.594637:0.912167:0.594637:0.896731:0.526659:0.896731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.543723:0.912028:0.559056:0.912028:0.559056:0.897980:0.543723:0.897980:0.000000
S D:@0.570192:0.912749:0.588084:0.912749:0.588084:0.895095:0.570192:0.895095:0.000000:0.000000:0.000000
Se tiene la implicación:  :@0.072920:0.939709:0.245002:0.939709:0.245002:0.923996:0.072920:0.923996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f, g   F A      fg   F A ,:@0.244384:0.939709:0.404417:0.939709:0.404417:0.924274:0.244384:0.924274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.266719:0.939570:0.282053:0.939570:0.282053:0.925522:0.266719:0.925522:0.000000
S D:@0.292850:0.940291:0.310742:0.940291:0.310742:0.922637:0.292850:0.922637:0.000000:0.000000:0.000000
⇒:@0.316485:0.939293:0.334653:0.939293:0.334653:0.922304:0.316485:0.922304:0.000000
[:@0.357138:0.939570:0.372471:0.939570:0.372471:0.925522:0.357138:0.925522:0.000000
S D:@0.383285:0.940291:0.401177:0.940291:0.401177:0.922637:0.383285:0.922637:0.000000:0.000000:0.000000
 que se denomina propiedad clausurativa.:@0.404343:0.939709:0.706400:0.939709:0.706400:0.923996:0.404343:0.923996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = f(x) + g(x):@0.747093:0.235468:0.780491:0.235468:0.780491:0.229805:0.747093:0.229805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y =      x:@0.754869:0.158035:0.774042:0.158035:0.774042:0.152371:0.754869:0.152371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.774039:0.155839:0.775711:0.155839:0.775711:0.152537:0.774039:0.152537:0.000000
1:@0.765391:0.155974:0.767759:0.155974:0.767759:0.151298:0.765391:0.151298:0.000000
4:@0.765391:0.159964:0.767759:0.159964:0.767759:0.155289:0.765391:0.155289:0.000000
y = x – 2:@0.895726:0.182235:0.916861:0.182235:0.916861:0.176571:0.895726:0.176571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.810852:0.158760:0.813720:0.158760:0.813720:0.153097:0.810852:0.153097:0.000000
2:@0.810852:0.174127:0.813720:0.174127:0.813720:0.168463:0.810852:0.168463:0.000000
1:@0.810852:0.189494:0.813720:0.189494:0.813720:0.183830:0.810852:0.183830:0.000000
0:@0.812743:0.207539:0.815611:0.207539:0.815611:0.201875:0.812743:0.201875:0.000000
–1:@0.809129:0.220227:0.815443:0.220227:0.815443:0.214563:0.809129:0.214563:0.000000:0.000000
–2:@0.821361:0.235594:0.827674:0.235594:0.827674:0.229930:0.821361:0.229930:0.000000:0.000000
–3:@0.821361:0.250961:0.827674:0.250961:0.827674:0.245297:0.821361:0.245297:0.000000:0.000000
–4:@0.821361:0.266327:0.827674:0.266327:0.827674:0.260664:0.821361:0.260664:0.000000:0.000000
–5:@0.821361:0.281694:0.827674:0.281694:0.827674:0.276030:0.821361:0.276030:0.000000:0.000000
–4:@0.732925:0.210075:0.739238:0.210075:0.739238:0.204412:0.732925:0.204412:0.000000:0.000000
–3:@0.753322:0.210075:0.759635:0.210075:0.759635:0.204412:0.753322:0.204412:0.000000:0.000000
–2:@0.773718:0.210075:0.780031:0.210075:0.780031:0.204412:0.773718:0.204412:0.000000:0.000000
–1:@0.794114:0.210075:0.800427:0.210075:0.800427:0.204412:0.794114:0.204412:0.000000:0.000000
1:@0.836622:0.210075:0.839491:0.210075:0.839491:0.204412:0.836622:0.204412:0.000000
2:@0.857019:0.210075:0.859887:0.210075:0.859887:0.204412:0.857019:0.204412:0.000000
3:@0.877415:0.210075:0.880283:0.210075:0.880283:0.204412:0.877415:0.204412:0.000000
4:@0.897811:0.210075:0.900680:0.210075:0.900680:0.204412:0.897811:0.204412:0.000000
x:@0.918337:0.207548:0.920947:0.207548:0.920947:0.201884:0.918337:0.201884:0.000000
y:@0.810958:0.136721:0.813651:0.136721:0.813651:0.131057:0.810958:0.131057:0.000000
Figura 6.2:@0.875585:0.317103:0.926911:0.317103:0.926911:0.305675:0.875585:0.305675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000