151:@0.938423:0.974518:0.967620:0.974518:0.967620:0.956590:0.938423:0.956590:0.000000:0.000000:0.000000
Pensamiento numérico y variacional :@0.603816:0.043660:0.930949:0.043660:0.930949:0.024915:0.603816:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.103210:0.136836:0.107241:0.136836:0.107241:0.120402:0.103210:0.120402:0.000000
La raíz cuadrada está bien definida, si y solo si,:@0.133324:0.136836:0.464783:0.136836:0.464783:0.120402:0.133324:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 – 100α  ≥ 0 :@0.103210:0.168202:0.202497:0.168202:0.202497:0.151768:0.103210:0.151768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.165554:0.162138:0.170791:0.162138:0.170791:0.152557:0.165554:0.152557:0.000000
⇔:@0.202387:0.167786:0.221567:0.167786:0.221567:0.150798:0.202387:0.150798:0.000000
 100α  ≤ 4 :@0.221475:0.168202:0.298787:0.168202:0.298787:0.151768:0.221475:0.151768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.261846:0.162138:0.267083:0.162138:0.267083:0.152557:0.261846:0.152557:0.000000
⇔:@0.298677:0.167786:0.317857:0.167786:0.317857:0.150798:0.298677:0.150798:0.000000
 α  ≤  :@0.317765:0.168202:0.359463:0.168202:0.359463:0.151768:0.317765:0.151768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.331430:0.162138:0.336667:0.162138:0.336667:0.152557:0.331430:0.152557:0.000000
4:@0.371832:0.160732:0.380815:0.160732:0.380815:0.144299:0.371832:0.144299:0.000000
100:@0.362850:0.177125:0.389798:0.177125:0.389798:0.160691:0.362850:0.160691:0.000000:0.000000:0.000000
  .:@0.393203:0.168207:0.404321:0.168207:0.404321:0.151774:0.393203:0.151774:0.000000:0.000000:0.000000
Como α > :@0.103215:0.200465:0.180518:0.200465:0.180518:0.184031:0.103215:0.184031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.185265:0.192098:0.194248:0.192098:0.194248:0.175665:0.185265:0.175665:0.000000
5:@0.185265:0.208491:0.194248:0.208491:0.194248:0.192057:0.185265:0.192057:0.000000
 , α  ≤ :@0.199052:0.200461:0.244593:0.200461:0.244593:0.184027:0.199052:0.184027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.220518:0.194397:0.225755:0.194397:0.225755:0.184816:0.220518:0.184816:0.000000
2:@0.253080:0.192098:0.262063:0.192098:0.262063:0.175665:0.253080:0.175665:0.000000
10:@0.248589:0.208491:0.266555:0.208491:0.266555:0.192057:0.248589:0.192057:0.000000:0.000000
  :@0.270567:0.200461:0.279292:0.200461:0.279292:0.184027:0.270567:0.184027:0.000000:0.000000
⇒:@0.279937:0.200045:0.298105:0.200045:0.298105:0.183056:0.279937:0.183056:0.000000
 α ≤ :@0.298013:0.200461:0.331304:0.200461:0.331304:0.184027:0.298013:0.184027:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.340148:0.192098:0.349131:0.192098:0.349131:0.175665:0.340148:0.175665:0.000000
10:@0.335657:0.208491:0.353623:0.208491:0.353623:0.192057:0.335657:0.192057:0.000000:0.000000
 . Para α > :@0.358004:0.200461:0.433238:0.200461:0.433238:0.184027:0.358004:0.184027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.441673:0.192991:0.450656:0.192991:0.450656:0.176557:0.441673:0.176557:0.000000
10:@0.437181:0.209383:0.455147:0.209383:0.455147:0.192949:0.437181:0.192949:0.000000:0.000000
  la ecuación no:@0.459160:0.200466:0.573082:0.200466:0.573082:0.184032:0.459160:0.184032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene solución. Consideramos el caso α = :@0.103219:0.232723:0.403029:0.232723:0.403029:0.216290:0.103219:0.216290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.410506:0.224357:0.419489:0.224357:0.419489:0.207923:0.410506:0.207923:0.000000
10:@0.406015:0.240749:0.423980:0.240749:0.423980:0.224316:0.406015:0.224316:0.000000:0.000000
  ,:@0.427257:0.232720:0.439104:0.232720:0.439104:0.216286:0.427257:0.216286:0.000000:0.000000:0.000000
x:@0.103215:0.296361:0.110670:0.296361:0.110670:0.279955:0.103215:0.279955:0.000000
 =     :@0.110597:0.296361:0.145313:0.296361:0.145313:0.279927:0.110597:0.279927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 2:@0.211159:0.307070:0.224173:0.307070:0.224173:0.290636:0.211159:0.290636:0.000000:0.000000
 2:@0.366128:0.307070:0.379142:0.307070:0.379142:0.290636:0.366128:0.290636:0.000000:0.000000
2:@0.250868:0.256616:0.259851:0.256616:0.259851:0.240182:0.250868:0.240182:0.000000
 :@0.251511:0.272344:0.255359:0.272344:0.255359:0.256657:0.251511:0.256657:0.000000
– 200 +      :@0.147384:0.264120:0.218287:0.264120:0.218287:0.247686:0.147384:0.247686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
– 20 +      :@0.321775:0.282343:0.390139:0.282343:0.390139:0.265909:0.321775:0.265909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
200:@0.391336:0.274505:0.418284:0.274505:0.418284:0.258071:0.391336:0.258071:0.000000:0.000000:0.000000
4:@0.400318:0.290897:0.409301:0.290897:0.409301:0.274463:0.400318:0.274463:0.000000
2:@0.273760:0.266823:0.278997:0.266823:0.278997:0.257242:0.273760:0.257242:0.000000
2:@0.249091:0.274484:0.258074:0.274484:0.258074:0.258051:0.249091:0.258051:0.000000
10:@0.244600:0.290877:0.262565:0.290877:0.262565:0.274443:0.244600:0.274443:0.000000:0.000000
=:@0.299892:0.296295:0.311860:0.296295:0.311860:0.278367:0.299892:0.278367:0.000000
   = 15   :@0.425598:0.296363:0.493319:0.296363:0.493319:0.279930:0.425598:0.279930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.474046:0.296946:0.489379:0.296946:0.489379:0.279292:0.474046:0.279292:0.000000
I:@0.493245:0.297889:0.500203:0.297889:0.500203:0.278695:0.493245:0.278695:0.000000
.:@0.500129:0.296363:0.503461:0.296363:0.503461:0.279957:0.500129:0.279957:0.000000
Conclusión: la ecuación tiene solución si y solo si α =  :@0.103232:0.334875:0.492161:0.334875:0.492161:0.318441:0.103232:0.318441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.499522:0.327407:0.508505:0.327407:0.508505:0.310973:0.499522:0.310973:0.000000
10:@0.495030:0.343799:0.512996:0.343799:0.512996:0.327365:0.495030:0.327365:0.000000:0.000000
  y   = 15.:@0.516272:0.334882:0.583348:0.334882:0.583348:0.318448:0.516272:0.318448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.536134:0.334882:0.543589:0.334882:0.543589:0.318476:0.536134:0.318476:0.000000
6.  Consideremos la ecuación    :@0.073089:0.369387:0.317081:0.369387:0.317081:0.352717:0.073089:0.352717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.316886:0.369387:0.357015:0.369387:0.357015:0.352981:0.316886:0.352981:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.338947:0.372559:0.344452:0.372559:0.344452:0.362841:0.338947:0.362841:0.000000
( ) = :@0.344406:0.369387:0.380723:0.369387:0.380723:0.352717:0.344406:0.352717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.380631:0.369387:0.402738:0.369387:0.402738:0.352981:0.380631:0.352981:0.000000:0.000000:0.000000
2:@0.402691:0.372559:0.408197:0.372559:0.408197:0.362841:0.402691:0.362841:0.000000
(    ),      > 0.:@0.408152:0.369387:0.498715:0.369387:0.498715:0.352717:0.408152:0.352717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.424773:0.369387:0.435468:0.369387:0.435468:0.352981:0.424773:0.352981:0.000000:0.000000
x:@0.459600:0.369387:0.467055:0.369387:0.467055:0.352981:0.459600:0.352981:0.000000
Para estudiar la existencia de soluciones, y, en caso de existir, para hallar la o las :@0.103217:0.394253:0.710682:0.394253:0.710682:0.377819:0.103217:0.377819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
soluciones, definimos dos funciones asociadas a esta ecuación::@0.103217:0.410894:0.558531:0.410894:0.558531:0.394461:0.103217:0.394461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u x:@0.111040:0.438256:0.132540:0.438256:0.132540:0.421850:0.111040:0.421850:0.000000:0.000000:0.000000
( ) =   :@0.120281:0.438256:0.164984:0.438256:0.164984:0.421823:0.120281:0.421823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.164881:0.438256:0.204385:0.438253:0.204385:0.421847:0.164881:0.421850:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.186935:0.441425:0.192172:0.441425:0.192172:0.431844:0.186935:0.431844:0.000000
( )  ,     > 0,:@0.192126:0.438253:0.270283:0.438253:0.270283:0.421819:0.192126:0.421819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.231977:0.438253:0.239432:0.438253:0.239432:0.421847:0.231977:0.421847:0.000000
v x:@0.111023:0.458472:0.130940:0.458472:0.130940:0.442066:0.111023:0.442066:0.000000:0.000000:0.000000
( ) = :@0.118681:0.458472:0.155470:0.458472:0.155470:0.442039:0.118681:0.442039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.155366:0.458472:0.194900:0.458469:0.194900:0.442063:0.155366:0.442066:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.177452:0.461641:0.182689:0.461641:0.182689:0.452060:0.177452:0.452060:0.000000
( )    ,     > 0.:@0.182641:0.458469:0.268713:0.458469:0.268713:0.442035:0.182641:0.442035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.230408:0.458469:0.237863:0.458469:0.237863:0.442063:0.230408:0.442063:0.000000
Primeramente, el dominio de la función :@0.103214:0.485831:0.394461:0.485831:0.394461:0.469397:0.103214:0.469397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Log:@0.394140:0.485831:0.419458:0.485831:0.419458:0.469425:0.394140:0.469425:0.000000:0.000000:0.000000
2:@0.419393:0.489004:0.424630:0.489004:0.424630:0.479423:0.419393:0.479423:0.000000
 es el conjunto ]0, ∞[,:@0.424583:0.485832:0.576822:0.485832:0.576822:0.469398:0.424583:0.469398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con lo que :@0.103210:0.517202:0.184810:0.517202:0.184810:0.500768:0.103210:0.500768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.184662:0.517202:0.206770:0.517202:0.206770:0.500796:0.184662:0.500796:0.000000:0.000000:0.000000
2:@0.206713:0.520370:0.211949:0.520370:0.211949:0.510789:0.206713:0.510789:0.000000
(      ) =   :@0.211902:0.517198:0.289125:0.517203:0.289125:0.500769:0.211902:0.500764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  :@0.230935:0.517198:0.244869:0.517198:0.244869:0.500792:0.230935:0.500792:0.000000:0.000000:0.000000
1:@0.271749:0.509728:0.280732:0.509728:0.280732:0.493294:0.271749:0.493294:0.000000
2:@0.271749:0.526120:0.280732:0.526120:0.280732:0.509686:0.271749:0.509686:0.000000
log x:@0.289972:0.517203:0.329477:0.517198:0.329477:0.500792:0.289972:0.500797:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.312029:0.520370:0.317266:0.520370:0.317266:0.510789:0.312029:0.510789:0.000000
( ) está bien definido si   > 0.:@0.317218:0.517198:0.525294:0.517198:0.525294:0.500764:0.317218:0.500764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.486988:0.517198:0.494443:0.517198:0.494443:0.500792:0.486988:0.500792:0.000000
Luego,  ( ) está bien definido si y solo si :@0.103215:0.544560:0.395762:0.544560:0.395762:0.528126:0.103215:0.528126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u x:@0.155989:0.544560:0.177489:0.544560:0.177489:0.528154:0.155989:0.528154:0.000000:0.000000:0.000000
log x:@0.395449:0.544560:0.434958:0.544561:0.434958:0.528155:0.395449:0.528154:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.417509:0.547734:0.422746:0.547734:0.422746:0.538153:0.417509:0.538153:0.000000
( ) ≥ 0.:@0.422698:0.544561:0.470612:0.544561:0.470612:0.528127:0.422698:0.528127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como :@0.103204:0.571923:0.151975:0.571923:0.151975:0.555489:0.103204:0.555489:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.151872:0.571923:0.191386:0.571924:0.191386:0.555518:0.151872:0.555517:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.173936:0.575097:0.179173:0.575097:0.179173:0.565516:0.173936:0.565516:0.000000
( ) ≥ 0 :@0.179127:0.571924:0.227869:0.571924:0.227869:0.555491:0.179127:0.555491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.227759:0.571508:0.246939:0.571508:0.246939:0.554520:0.227759:0.554520:0.000000
   ≥ 1, se sigue que :@0.246847:0.571924:0.388104:0.571924:0.388104:0.555491:0.246847:0.555491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.250805:0.571924:0.258260:0.571924:0.258260:0.555518:0.250805:0.555518:0.000000
Dom u:@0.387902:0.571924:0.437417:0.571924:0.437417:0.555518:0.387902:0.555518:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = [1, ∞[, y siendo:@0.423299:0.571924:0.567630:0.571924:0.567630:0.555491:0.423299:0.555491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom v:@0.103215:0.599286:0.151148:0.599286:0.151148:0.582880:0.103215:0.582880:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = ]0, ∞[, resulta que la ecuación está propuesta en el conjunto:@0.138612:0.599286:0.608730:0.599286:0.608730:0.582853:0.138612:0.582853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom u:@0.249866:0.626648:0.299381:0.626648:0.299381:0.610242:0.249866:0.610242:0.000000:0.000000:0.000000:0.000000:0.000000
( )   :@0.285263:0.626648:0.327324:0.626648:0.327324:0.610214:0.285263:0.610214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⊂:@0.308051:0.627231:0.323384:0.627231:0.323384:0.609577:0.308051:0.609577:0.000000
Dom v:@0.327250:0.626648:0.375183:0.626648:0.375183:0.610242:0.327250:0.610242:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = ]0, ∞[   ]1, ∞[ = ]1, ∞[.:@0.362647:0.626648:0.559789:0.626648:0.559789:0.610214:0.362647:0.610214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∩:@0.441265:0.627231:0.456598:0.627231:0.456598:0.609577:0.441265:0.609577:0.000000
Nota que   = 1 es una solución, pues::@0.103197:0.654010:0.372375:0.654010:0.372375:0.637576:0.103197:0.637576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.174801:0.654010:0.182256:0.654010:0.182256:0.637604:0.174801:0.637604:0.000000
u:@0.276023:0.681372:0.285337:0.681372:0.285337:0.664966:0.276023:0.664966:0.000000
(1) =   :@0.285263:0.681372:0.331311:0.681372:0.331311:0.664938:0.285263:0.664938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.331557:0.681372:0.353664:0.681372:0.353664:0.664966:0.331557:0.664966:0.000000:0.000000:0.000000
2:@0.353639:0.684548:0.358876:0.684548:0.358876:0.674967:0.353639:0.674967:0.000000
(1)  = 0 = :@0.358828:0.681376:0.427911:0.681376:0.427911:0.664942:0.358828:0.664942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.427764:0.681376:0.449871:0.681376:0.449871:0.664970:0.427764:0.664970:0.000000:0.000000:0.000000
2:@0.449816:0.684548:0.455052:0.684548:0.455052:0.674967:0.449816:0.674967:0.000000
(  1 ) =  (1).:@0.455005:0.681376:0.533530:0.681376:0.533530:0.664942:0.455005:0.664942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.504152:0.681376:0.511883:0.681376:0.511883:0.664970:0.504152:0.664970:0.000000
Pasemos a resolver esta ecuación. Elevando al cuadrado ambos miembros, :@0.103205:0.708738:0.710330:0.708738:0.710330:0.692304:0.103205:0.692304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtenemos::@0.103205:0.725380:0.190724:0.725380:0.190724:0.708946:0.103205:0.708946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.103205:0.755848:0.142715:0.755853:0.142715:0.739447:0.103205:0.739442:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.125265:0.759025:0.130502:0.759025:0.130502:0.749445:0.125265:0.749445:0.000000
( ) =   :@0.130455:0.755853:0.188059:0.755851:0.188059:0.739417:0.130455:0.739419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.170683:0.749277:0.179666:0.749277:0.179666:0.732843:0.170683:0.732843:0.000000
4:@0.170683:0.765669:0.179666:0.765669:0.179666:0.749236:0.170683:0.749236:0.000000
log x:@0.187986:0.755851:0.229892:0.755853:0.229892:0.739447:0.187986:0.739445:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.210043:0.759025:0.215280:0.759025:0.215280:0.749445:0.210043:0.749445:0.000000
2:@0.212017:0.749792:0.217254:0.749792:0.217254:0.740211:0.212017:0.740211:0.000000
( ) :@0.217633:0.755853:0.238654:0.755853:0.238654:0.739419:0.217633:0.739419:0.000000:0.000000:0.000000:0.000000
⇔:@0.238562:0.755437:0.257743:0.755437:0.257743:0.738449:0.238562:0.738449:0.000000
 :@0.257651:0.755853:0.261682:0.755853:0.261682:0.739419:0.257651:0.739419:0.000000
log x:@0.261608:0.755853:0.301110:0.755853:0.301110:0.739447:0.261608:0.739447:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.283660:0.759025:0.288897:0.759025:0.288897:0.749445:0.283660:0.749445:0.000000
( ) –   :@0.288851:0.755853:0.344687:0.755851:0.344687:0.739417:0.288851:0.739419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.327310:0.749277:0.336293:0.749277:0.336293:0.732843:0.327310:0.732843:0.000000
4:@0.327310:0.765669:0.336293:0.765669:0.336293:0.749236:0.327310:0.749236:0.000000
log x:@0.344613:0.755851:0.386520:0.755853:0.386520:0.739447:0.344613:0.739445:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.366670:0.759025:0.371907:0.759025:0.371907:0.749445:0.366670:0.749445:0.000000
2:@0.368645:0.749792:0.373881:0.749792:0.373881:0.740211:0.368645:0.740211:0.000000
( ) = 0,       ≥ 1.:@0.374260:0.755853:0.480121:0.755853:0.480121:0.739419:0.374260:0.739419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.441815:0.755853:0.449270:0.755853:0.449270:0.739447:0.441815:0.739447:0.000000
Sea   = :@0.103214:0.790787:0.159116:0.790787:0.159116:0.774353:0.103214:0.774353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.132831:0.790787:0.140304:0.790787:0.140304:0.774381:0.132831:0.774381:0.000000
log x:@0.159024:0.790787:0.198538:0.790792:0.198538:0.774386:0.159024:0.774381:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.181088:0.793965:0.186325:0.793965:0.186325:0.784384:0.181088:0.784384:0.000000
( ). La última ecuación se expresa como   –      = 0.:@0.186279:0.790792:0.570612:0.790792:0.570612:0.774358:0.186279:0.774358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.476948:0.790792:0.484421:0.790792:0.484421:0.774386:0.476948:0.774386:0.000000
1:@0.505836:0.783324:0.514818:0.783324:0.514818:0.766890:0.505836:0.766890:0.000000
4:@0.505836:0.799716:0.514818:0.799716:0.514818:0.783282:0.505836:0.783282:0.000000
y:@0.527077:0.790799:0.534551:0.790799:0.534551:0.774392:0.527077:0.774392:0.000000
2:@0.534499:0.784728:0.539736:0.784728:0.539736:0.775147:0.534499:0.775147:0.000000
Tenemos::@0.103215:0.818154:0.172695:0.818154:0.172695:0.801720:0.103215:0.801720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.103215:0.856306:0.110689:0.856306:0.110689:0.839900:0.103215:0.839900:0.000000
 –      = 0 :@0.110615:0.856306:0.198618:0.856309:0.198618:0.839876:0.110615:0.839872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.132093:0.849733:0.141076:0.849733:0.141076:0.833300:0.132093:0.833300:0.000000
4:@0.132093:0.866126:0.141076:0.866126:0.141076:0.849692:0.132093:0.849692:0.000000
y:@0.154256:0.856307:0.161729:0.856307:0.161729:0.839901:0.154256:0.839901:0.000000
2:@0.161677:0.850246:0.166914:0.850246:0.166914:0.840665:0.161677:0.840665:0.000000
⇔:@0.198508:0.855893:0.217688:0.855893:0.217688:0.838905:0.198508:0.838905:0.000000
    1 –           = 0 :@0.217596:0.856309:0.333544:0.856309:0.333544:0.839876:0.217596:0.839876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.221554:0.856309:0.229027:0.856309:0.229027:0.839903:0.221554:0.839903:0.000000
y:@0.286476:0.856309:0.293950:0.856309:0.293950:0.839903:0.286476:0.839903:0.000000
⇔:@0.333415:0.855893:0.352595:0.855893:0.352595:0.838905:0.333415:0.838905:0.000000
  :@0.352503:0.856309:0.360492:0.856309:0.360492:0.839876:0.352503:0.839876:0.000000:0.000000
y:@0.372907:0.842052:0.380380:0.842052:0.380380:0.825646:0.372907:0.825646:0.000000
 = 0,  o:@0.380380:0.842052:0.429454:0.842052:0.429454:0.825618:0.380380:0.825618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 –     y = 0 .:@0.372907:0.866265:0.475216:0.865288:0.475216:0.848855:0.372907:0.849832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.407332:0.858801:0.416314:0.858801:0.416314:0.842367:0.407332:0.842367:0.000000
4:@0.407332:0.875193:0.416314:0.875193:0.416314:0.858759:0.407332:0.858759:0.000000
   :@0.467063:0.856318:0.479157:0.856318:0.479157:0.839884:0.467063:0.839884:0.000000:0.000000:0.000000
Como   = :@0.103225:0.903900:0.178180:0.903900:0.178180:0.887466:0.103225:0.887466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.151894:0.903900:0.159367:0.903900:0.159367:0.887494:0.151894:0.887494:0.000000
log x y:@0.178088:0.903900:0.236855:0.903889:0.236855:0.887483:0.178088:0.887494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.200135:0.907061:0.205371:0.907061:0.205371:0.897480:0.200135:0.897480:0.000000
( ),   = 0 = :@0.205324:0.903889:0.283389:0.903889:0.283389:0.887455:0.205324:0.887455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.283260:0.903889:0.322777:0.903889:0.322777:0.887483:0.283260:0.887483:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.305327:0.907061:0.310564:0.907061:0.310564:0.897480:0.305327:0.897480:0.000000
( ) :@0.310518:0.903889:0.331539:0.903889:0.331539:0.887455:0.310518:0.887455:0.000000:0.000000:0.000000:0.000000
⇔:@0.331447:0.903473:0.350627:0.903473:0.350627:0.886484:0.331447:0.886484:0.000000
   = 1 que ya fue obtenida.  :@0.350535:0.903889:0.550548:0.903889:0.550548:0.887455:0.350535:0.887455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.354493:0.903889:0.361948:0.903889:0.361948:0.887483:0.354493:0.887483:0.000000
A continuación,   = 4 = :@0.103215:0.920530:0.275084:0.920530:0.275084:0.904097:0.103215:0.904097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.221077:0.920530:0.228550:0.920530:0.228550:0.904124:0.221077:0.904124:0.000000
log x:@0.274955:0.920530:0.314467:0.920530:0.314467:0.904124:0.274955:0.904124:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.297017:0.923703:0.302254:0.923703:0.302254:0.914122:0.297017:0.914122:0.000000
( ) :@0.302208:0.920530:0.323229:0.920530:0.323229:0.904097:0.302208:0.904097:0.000000:0.000000:0.000000:0.000000
⇔:@0.323137:0.920114:0.342317:0.920114:0.342317:0.903126:0.323137:0.903126:0.000000
   = 2  = 16.  :@0.342225:0.920530:0.434310:0.920530:0.434310:0.904097:0.342225:0.904097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.346183:0.920530:0.353638:0.920530:0.353638:0.904124:0.346183:0.904124:0.000000
4:@0.381262:0.914467:0.386499:0.914467:0.386499:0.904886:0.381262:0.904886:0.000000
Se verifica inmediatamente  (16) =  (16) = 2. Se tienen dos soluciones   = 1 y   = 16.:@0.103200:0.937172:0.695895:0.937172:0.695895:0.920738:0.103200:0.920738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.299827:0.937172:0.309141:0.937172:0.309141:0.920766:0.299827:0.920766:0.000000
v:@0.353778:0.937172:0.361509:0.937172:0.361509:0.920766:0.353778:0.920766:0.000000
x:@0.600270:0.937172:0.607725:0.937172:0.607725:0.920766:0.600270:0.920766:0.000000
x:@0.649785:0.937172:0.657240:0.937172:0.657240:0.920766:0.649785:0.920766:0.000000
1:@0.268631:0.841762:0.277614:0.841762:0.277614:0.825328:0.268631:0.825328:0.000000
4:@0.268631:0.858154:0.277614:0.858154:0.277614:0.841720:0.268631:0.841720:0.000000
 :@0.277614:0.857994:0.281462:0.857994:0.281462:0.842307:0.277614:0.842307:0.000000
Dr. Manuel, Wikimedia Commons:@0.884806:0.416558:0.884806:0.316556:0.872908:0.316556:0.872908:0.416558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinaria :@0.740294:0.195855:0.863703:0.195855:0.863703:0.180449:0.740294:0.180449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y :@0.740294:0.210984:0.833204:0.210984:0.833204:0.196045:0.740294:0.196045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
música:@0.740294:0.226113:0.787349:0.226113:0.787349:0.211174:0.740294:0.211174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué tiene que ver :@0.742665:0.253727:0.875960:0.253727:0.875960:0.238573:0.742665:0.238573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la matemática con la :@0.742665:0.268856:0.888218:0.268856:0.888218:0.253702:0.742665:0.253702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
música?:@0.742665:0.283985:0.798338:0.283985:0.798338:0.268831:0.742665:0.268831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pues en realidad, mucho. :@0.742665:0.302682:0.910639:0.302682:0.910639:0.287742:0.742665:0.287742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El uso de logaritmos en :@0.742665:0.317811:0.900855:0.317811:0.900855:0.302871:0.742665:0.302871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la música permite hallar :@0.742665:0.332940:0.903298:0.332940:0.903298:0.318000:0.742665:0.318000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las vibraciones de las :@0.742665:0.348069:0.883932:0.348069:0.883932:0.333129:0.742665:0.333129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tonalidades musicales, :@0.742665:0.363198:0.894344:0.363198:0.894344:0.348258:0.742665:0.348258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pero para hallar estas :@0.742665:0.378327:0.885850:0.378327:0.885850:0.363387:0.742665:0.363387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vibraciones, siempre tiene :@0.742665:0.393456:0.918257:0.393456:0.918257:0.378516:0.742665:0.378516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que estar el logaritmo en :@0.742665:0.408585:0.911737:0.408585:0.911737:0.393645:0.742665:0.393645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
base dos.:@0.742665:0.423714:0.803954:0.423714:0.803954:0.408774:0.742665:0.408774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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