99:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento espacial, métrico y variacional:@0.541231:0.043660:0.930030:0.043660:0.930030:0.024915:0.541231:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para     –2::@0.073089:0.136836:0.159327:0.136836:0.159327:0.121124:0.073089:0.121124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.107547:0.136836:0.115002:0.136836:0.115002:0.121401:0.107547:0.121401:0.000000
.:@0.118886:0.136281:0.134219:0.136281:0.134219:0.122566:0.118886:0.122566:0.000000
 :@0.073089:0.170720:0.077120:0.170720:0.077120:0.155007:0.073089:0.155007:0.000000
f:@0.133331:0.170720:0.138025:0.170720:0.138025:0.155285:0.133331:0.155285:0.000000
( 1,5)   :@0.137951:0.170720:0.206941:0.170720:0.206941:0.155007:0.137951:0.155007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.142755:0.170165:0.158089:0.170165:0.158089:0.156450:0.142755:0.156450:0.000000
5:@0.187669:0.170165:0.203002:0.170165:0.203002:0.156450:0.187669:0.156450:0.000000
3:@0.237073:0.163831:0.246056:0.163831:0.246056:0.148119:0.237073:0.148119:0.000000
2:@0.208803:0.175389:0.224136:0.175389:0.224136:0.161673:0.208803:0.161673:0.000000
1,5 2 :@0.224136:0.175777:0.273651:0.175777:0.273651:0.160064:0.224136:0.160064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.245304:0.175389:0.260638:0.175389:0.260638:0.161673:0.245304:0.161673:0.000000
   6,:@0.271141:0.170720:0.306403:0.170720:0.306403:0.155007:0.271141:0.155007:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.275092:0.170165:0.290425:0.170165:0.290425:0.156450:0.275092:0.156450:0.000000
 :@0.073089:0.204543:0.077120:0.204543:0.077120:0.188831:0.073089:0.188831:0.000000
f:@0.133331:0.204543:0.138025:0.204543:0.138025:0.189108:0.133331:0.189108:0.000000
( 1) :@0.137951:0.204543:0.175741:0.204543:0.175741:0.188831:0.137951:0.188831:0.000000:0.000000:0.000000:0.000000:0.000000
2 5:@0.142755:0.203989:0.190982:0.203989:0.190982:0.190273:0.142755:0.190273:0.000000:0.000000:0.000000
3:@0.214584:0.197715:0.223567:0.197715:0.223567:0.182002:0.214584:0.182002:0.000000
2 1:@0.192829:0.209272:0.232478:0.209272:0.232478:0.195557:0.192829:0.195557:0.000000:0.000000:0.000000
1 2 :@0.208162:0.209661:0.245492:0.209661:0.245492:0.193948:0.208162:0.193948:0.000000:0.000000:0.000000:0.000000
   3,:@0.244533:0.204543:0.279793:0.204543:0.279793:0.188831:0.244533:0.188831:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.248482:0.203989:0.263815:0.203989:0.263815:0.190273:0.248482:0.190273:0.000000
 :@0.073089:0.239563:0.077120:0.239563:0.077120:0.223850:0.073089:0.223850:0.000000
f:@0.133331:0.239563:0.138025:0.239563:0.138025:0.224128:0.133331:0.224128:0.000000
(0) :@0.137951:0.239563:0.160500:0.239563:0.160500:0.223850:0.137951:0.223850:0.000000:0.000000:0.000000:0.000000
5:@0.160389:0.239008:0.175723:0.239008:0.175723:0.225293:0.160389:0.225293:0.000000
3:@0.188891:0.231538:0.197874:0.231538:0.197874:0.215826:0.188891:0.215826:0.000000
0 2 :@0.177587:0.243484:0.214917:0.243484:0.214917:0.227771:0.177587:0.227771:0.000000:0.000000:0.000000:0.000000
1:@0.186570:0.243096:0.201903:0.243096:0.201903:0.229380:0.186570:0.229380:0.000000
   1,5,:@0.211323:0.239563:0.258621:0.239563:0.258621:0.223850:0.211323:0.223850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.215272:0.239008:0.230605:0.239008:0.230605:0.225293:0.215272:0.225293:0.000000
 :@0.073089:0.273676:0.077120:0.273676:0.077120:0.257964:0.073089:0.257964:0.000000
f:@0.133331:0.273676:0.138025:0.273676:0.138025:0.258241:0.133331:0.258241:0.000000
(1) :@0.137951:0.273676:0.160500:0.273676:0.160500:0.257964:0.137951:0.257964:0.000000:0.000000:0.000000:0.000000
5:@0.160389:0.273121:0.175723:0.273121:0.175723:0.259406:0.160389:0.259406:0.000000
3:@0.188891:0.266558:0.197874:0.266558:0.197874:0.250845:0.188891:0.250845:0.000000
1 2 :@0.177587:0.278504:0.214917:0.278504:0.214917:0.262791:0.177587:0.262791:0.000000:0.000000:0.000000:0.000000
1:@0.186570:0.278115:0.201903:0.278115:0.201903:0.264400:0.186570:0.264400:0.000000
   1,:@0.211323:0.273676:0.246583:0.273676:0.246583:0.257964:0.211323:0.257964:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.215272:0.273121:0.230605:0.273121:0.230605:0.259406:0.215272:0.259406:0.000000
 :@0.073089:0.307017:0.077120:0.307017:0.077120:0.291304:0.073089:0.291304:0.000000
f(:@0.133331:0.307017:0.142829:0.307017:0.142829:0.291581:0.133331:0.291581:0.000000:0.000000
2)   :@0.142774:0.307017:0.179699:0.307017:0.179699:0.291304:0.142774:0.291304:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.160426:0.306462:0.175759:0.306462:0.175759:0.292746:0.160426:0.292746:0.000000
3:@0.192855:0.300671:0.201838:0.300671:0.201838:0.284959:0.192855:0.284959:0.000000
2 2 :@0.181552:0.312617:0.218881:0.312617:0.218881:0.296904:0.181552:0.296904:0.000000:0.000000:0.000000:0.000000
1:@0.190534:0.312229:0.205868:0.312229:0.205868:0.298513:0.190534:0.298513:0.000000
   0,75.:@0.215287:0.307017:0.271496:0.307017:0.271496:0.291304:0.215287:0.291304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.219238:0.306462:0.234571:0.306462:0.234571:0.292746:0.219238:0.292746:0.000000
En la región (ver Figura 2.3), en la que      2, tenemos que la función    es estrictamente :@0.073084:0.337957:0.710437:0.337957:0.710437:0.322244:0.073084:0.322244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.341020:0.337957:0.348475:0.337957:0.348475:0.322521:0.341020:0.322521:0.000000
. 2:@0.351899:0.337402:0.385952:0.337402:0.385952:0.323686:0.351899:0.323686:0.000000:0.000000:0.000000
f:@0.578824:0.337957:0.583517:0.337957:0.583517:0.322521:0.578824:0.322521:0.000000
decreciente al igual que en la región en que      2. Así,   es decreciente en el conjunto :@0.073103:0.354598:0.710518:0.354598:0.710518:0.338886:0.073103:0.338886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.394199:0.354598:0.401654:0.354598:0.401654:0.339163:0.394199:0.339163:0.000000
, 2:@0.405409:0.354044:0.439812:0.354044:0.439812:0.340328:0.405409:0.340328:0.000000:0.000000:0.000000
f:@0.483621:0.354598:0.488315:0.354598:0.488315:0.339163:0.483621:0.339163:0.000000
R:@0.073084:0.370380:0.086374:0.370380:0.086374:0.357483:0.073084:0.357483:0.000000
 \ { 2}.:@0.086282:0.371240:0.137454:0.371240:0.137454:0.355528:0.086282:0.355528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.105297:0.370686:0.120630:0.370686:0.120630:0.356970:0.105297:0.356970:0.000000
2.4 Producto de números reales por funciones racionales:@0.073084:0.402180:0.517529:0.402180:0.517529:0.385233:0.073084:0.385233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,   polinomios reales de grado   2,       y   una función racional definida como::@0.073084:0.433120:0.706496:0.433120:0.706496:0.417407:0.073084:0.417407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p q:@0.112402:0.433120:0.137823:0.433120:0.137823:0.417685:0.112402:0.417685:0.000000:0.000000:0.000000
#:@0.342714:0.432565:0.358047:0.432565:0.358047:0.418850:0.342714:0.418850:0.000000
c:@0.377688:0.433120:0.385345:0.433120:0.385345:0.417685:0.377688:0.417685:0.000000
[:@0.389118:0.432981:0.404452:0.432981:0.404452:0.418933:0.389118:0.418933:0.000000
R:@0.408207:0.432260:0.421497:0.432260:0.421497:0.419363:0.408207:0.419363:0.000000
f:@0.437125:0.433120:0.441818:0.433120:0.441818:0.417685:0.437125:0.417685:0.000000
f x:@0.073066:0.469649:0.089945:0.469649:0.089945:0.454214:0.073066:0.454214:0.000000:0.000000:0.000000
( )   :@0.077686:0.469649:0.117888:0.469649:0.117888:0.453936:0.077686:0.453936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.098615:0.469094:0.113948:0.469094:0.113948:0.455379:0.098615:0.455379:0.000000
p x:@0.121936:0.460829:0.143528:0.460829:0.143528:0.445393:0.121936:0.445393:0.000000:0.000000:0.000000
( ):@0.131195:0.460829:0.148405:0.460829:0.148405:0.445116:0.131195:0.445116:0.000000:0.000000:0.000000
q x:@0.121273:0.477582:0.142865:0.477582:0.142865:0.462146:0.121273:0.462146:0.000000:0.000000:0.000000
( ):@0.130532:0.477582:0.147743:0.477582:0.147743:0.461869:0.130532:0.461869:0.000000:0.000000:0.000000
 ,    :@0.150949:0.469634:0.173939:0.469634:0.173939:0.453921:0.150949:0.453921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.173829:0.469079:0.186107:0.469079:0.186107:0.455363:0.173829:0.455363:0.000000
x:@0.186015:0.469634:0.193469:0.469634:0.193469:0.454199:0.186015:0.454199:0.000000
   :@0.193396:0.469634:0.216626:0.469634:0.216626:0.453921:0.193396:0.453921:0.000000:0.000000:0.000000
[:@0.197353:0.469495:0.212687:0.469495:0.212687:0.455447:0.197353:0.455447:0.000000
Dom f:@0.216552:0.469634:0.261447:0.469634:0.261447:0.454199:0.216552:0.454199:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.251949:0.469634:0.269381:0.469634:0.269381:0.453921:0.251949:0.453921:0.000000:0.000000:0.000000:0.000000
Definición:@0.073104:0.500574:0.151072:0.500574:0.151072:0.483904:0.073104:0.483904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Se define la función   como sigue::@0.150967:0.500574:0.410012:0.500574:0.410012:0.484861:0.150967:0.484861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cf:@0.304870:0.500574:0.317313:0.500574:0.317313:0.485138:0.304870:0.485138:0.000000:0.000000
( )( )    ( )     :@0.250624:0.536479:0.376861:0.536479:0.376861:0.520766:0.250624:0.520766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cf x:@0.255428:0.536479:0.284861:0.536479:0.284861:0.521043:0.255428:0.521043:0.000000:0.000000:0.000000:0.000000
5:@0.293531:0.535924:0.308865:0.535924:0.308865:0.522208:0.293531:0.522208:0.000000
cf x:@0.312730:0.536479:0.337377:0.536479:0.337377:0.521043:0.312730:0.521043:0.000000:0.000000:0.000000:0.000000
5:@0.346047:0.535924:0.361380:0.535924:0.361380:0.522208:0.346047:0.522208:0.000000
c:@0.365246:0.536479:0.372903:0.536479:0.372903:0.521043:0.365246:0.521043:0.000000
p x:@0.380845:0.528290:0.402437:0.528290:0.402437:0.512855:0.380845:0.512855:0.000000:0.000000:0.000000
( ):@0.390104:0.528290:0.407315:0.528290:0.407315:0.512577:0.390104:0.512577:0.000000:0.000000:0.000000
q x:@0.380183:0.545043:0.401774:0.545043:0.401774:0.529607:0.380183:0.529607:0.000000:0.000000:0.000000
( ):@0.389441:0.545043:0.406652:0.545043:0.406652:0.529330:0.389441:0.529330:0.000000:0.000000:0.000000
  ,   :@0.409858:0.536470:0.432849:0.536470:0.432849:0.520757:0.409858:0.520757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.432739:0.535915:0.445016:0.535915:0.445016:0.522199:0.432739:0.522199:0.000000
x:@0.444924:0.536470:0.452379:0.536470:0.452379:0.521034:0.444924:0.521034:0.000000
 :@0.452306:0.536470:0.456337:0.536470:0.456337:0.520757:0.452306:0.520757:0.000000
[ :@0.456263:0.536331:0.476106:0.536331:0.476106:0.522283:0.456263:0.522283:0.000000:0.000000
Dom f:@0.476014:0.536470:0.520909:0.536470:0.520909:0.521034:0.476014:0.521034:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.511411:0.536470:0.528843:0.536470:0.528843:0.520757:0.511411:0.520757:0.000000:0.000000:0.000000:0.000000
Si existe peligro de confusión, se escribe       en vez de  .:@0.073098:0.567410:0.495728:0.567410:0.495728:0.551697:0.073098:0.551697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.367264:0.567410:0.374921:0.567410:0.374921:0.551974:0.367264:0.551974:0.000000
3:@0.378805:0.566855:0.394139:0.566855:0.394139:0.553139:0.378805:0.553139:0.000000
f:@0.398004:0.567410:0.402698:0.567410:0.402698:0.551974:0.398004:0.551974:0.000000
cf:@0.480137:0.567410:0.492581:0.567410:0.492581:0.551974:0.480137:0.551974:0.000000:0.000000
Ejercicios resueltos:@0.073098:0.598350:0.216107:0.598350:0.216107:0.581680:0.073098:0.581680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Sea   la función racional definida como  ( )   :@0.073089:0.631101:0.432413:0.631101:0.432413:0.615389:0.073089:0.615389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.132835:0.631101:0.137529:0.631101:0.137529:0.615666:0.132835:0.615666:0.000000
f x:@0.387592:0.631101:0.404471:0.631101:0.404471:0.615666:0.387592:0.615666:0.000000:0.000000:0.000000
5:@0.413141:0.630546:0.428474:0.630546:0.428474:0.616831:0.413141:0.616831:0.000000
3:@0.446417:0.625893:0.455400:0.625893:0.455400:0.610180:0.446417:0.610180:0.000000
x:@0.434283:0.637991:0.441738:0.637991:0.441738:0.622556:0.434283:0.622556:0.000000
1:@0.441738:0.637603:0.457071:0.637603:0.457071:0.623887:0.441738:0.623887:0.000000
2 :@0.457071:0.637991:0.470085:0.637991:0.470085:0.622279:0.457071:0.622279:0.000000:0.000000
 ,:@0.465450:0.631101:0.472610:0.631101:0.472610:0.615389:0.465450:0.615389:0.000000:0.000000
;:@0.472522:0.630546:0.484799:0.630546:0.484799:0.616831:0.472522:0.616831:0.000000
x:@0.484707:0.631101:0.492162:0.631101:0.492162:0.615666:0.484707:0.615666:0.000000
 :@0.492089:0.631101:0.496120:0.631101:0.496120:0.615389:0.492089:0.615389:0.000000
[ :@0.496046:0.630963:0.515889:0.630963:0.515889:0.616914:0.496046:0.616914:0.000000:0.000000
R:@0.515797:0.630241:0.529087:0.630241:0.529087:0.617344:0.515797:0.617344:0.000000
\{ 2}.:@0.528995:0.631101:0.572271:0.631101:0.572271:0.615389:0.528995:0.615389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.540113:0.630546:0.555446:0.630546:0.555446:0.616831:0.540113:0.616831:0.000000
 :@0.073089:0.662037:0.077120:0.662037:0.077120:0.646325:0.073089:0.646325:0.000000
Entonces, las funciones –3 , –1 ×  , 0 ×  , 10  están definidas como sigue::@0.103203:0.662037:0.621078:0.662037:0.621078:0.646325:0.103203:0.646325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.293171:0.662037:0.297865:0.662037:0.297865:0.646602:0.293171:0.646602:0.000000
f:@0.341675:0.662037:0.346368:0.662037:0.346368:0.646602:0.341675:0.646602:0.000000
f:@0.381066:0.662037:0.385760:0.662037:0.385760:0.646602:0.381066:0.646602:0.000000
f:@0.410555:0.662037:0.415248:0.662037:0.415248:0.646602:0.410555:0.646602:0.000000
( 3 )    3 ( )    3 :@0.103203:0.696710:0.261800:0.696710:0.261800:0.680998:0.103203:0.680998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.108007:0.696156:0.123340:0.696156:0.123340:0.682440:0.108007:0.682440:0.000000
f:@0.132158:0.696710:0.136851:0.696710:0.136851:0.681275:0.132158:0.681275:0.000000
5 2:@0.145521:0.696156:0.180053:0.696156:0.180053:0.682440:0.145521:0.682440:0.000000:0.000000:0.000000
f x:@0.188870:0.696710:0.205750:0.696710:0.205750:0.681275:0.188870:0.681275:0.000000:0.000000:0.000000
5 2:@0.214420:0.696156:0.248952:0.696156:0.248952:0.682440:0.214420:0.682440:0.000000:0.000000:0.000000
3:@0.275780:0.689586:0.284763:0.689586:0.284763:0.673873:0.275780:0.673873:0.000000
x:@0.263646:0.701685:0.271101:0.701685:0.271101:0.686250:0.263646:0.686250:0.000000
1:@0.271101:0.701297:0.286434:0.701297:0.286434:0.687581:0.271101:0.687581:0.000000
2 :@0.286434:0.701685:0.299448:0.701685:0.299448:0.685973:0.286434:0.685973:0.000000:0.000000
    :@0.294813:0.696710:0.321987:0.696710:0.321987:0.680998:0.294813:0.680998:0.000000:0.000000:0.000000:0.000000
5:@0.302715:0.696156:0.318048:0.696156:0.318048:0.682440:0.302715:0.682440:0.000000
2:@0.327449:0.689234:0.342782:0.689234:0.342782:0.675519:0.327449:0.675519:0.000000
9:@0.342782:0.689622:0.351765:0.689622:0.351765:0.673910:0.342782:0.673910:0.000000
x:@0.323846:0.701413:0.331301:0.701413:0.331301:0.685978:0.323846:0.685978:0.000000
1:@0.331301:0.701025:0.346635:0.701025:0.346635:0.687309:0.331301:0.687309:0.000000
2 :@0.346635:0.701413:0.359648:0.701413:0.359648:0.685700:0.346635:0.685700:0.000000:0.000000
,  :@0.357582:0.696710:0.368700:0.696710:0.368700:0.680998:0.357582:0.680998:0.000000:0.000000:0.000000
;:@0.368604:0.696156:0.380882:0.696156:0.380882:0.682440:0.368604:0.682440:0.000000
x:@0.380790:0.696710:0.388245:0.696710:0.388245:0.681275:0.380790:0.681275:0.000000
 :@0.388171:0.696710:0.392203:0.696710:0.392203:0.680998:0.388171:0.680998:0.000000
[ :@0.392129:0.696572:0.411972:0.696572:0.411972:0.682523:0.392129:0.682523:0.000000:0.000000
R:@0.411880:0.695851:0.425170:0.695851:0.425170:0.682953:0.411880:0.682953:0.000000
 \ { 2}.:@0.425078:0.696710:0.476250:0.696710:0.476250:0.680998:0.425078:0.680998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.444093:0.696156:0.459426:0.696156:0.459426:0.682440:0.444093:0.682440:0.000000
( 1 ×  )( )    1 ×  ( )   :@0.103203:0.731589:0.288214:0.731589:0.288214:0.715876:0.103203:0.715876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.108007:0.731034:0.123340:0.731034:0.123340:0.717319:0.108007:0.717319:0.000000
f x:@0.150933:0.731589:0.172598:0.731589:0.172598:0.716154:0.150933:0.716154:0.000000:0.000000:0.000000
5 2:@0.181268:0.731034:0.215800:0.731034:0.215800:0.717319:0.181268:0.717319:0.000000:0.000000:0.000000
f x:@0.243393:0.731589:0.260272:0.731589:0.260272:0.716154:0.243393:0.716154:0.000000:0.000000:0.000000
5 2:@0.268942:0.731034:0.303474:0.731034:0.303474:0.717319:0.268942:0.717319:0.000000:0.000000:0.000000
f x:@0.303382:0.731589:0.320261:0.731589:0.320261:0.716154:0.303382:0.716154:0.000000:0.000000:0.000000
( )     :@0.308002:0.731589:0.367402:0.731589:0.367402:0.715876:0.308002:0.715876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 2:@0.328931:0.731034:0.363463:0.731034:0.363463:0.717319:0.328931:0.717319:0.000000:0.000000:0.000000
3:@0.381438:0.724259:0.390420:0.724259:0.390420:0.708546:0.381438:0.708546:0.000000
x:@0.369304:0.736357:0.376759:0.736357:0.376759:0.720922:0.369304:0.720922:0.000000
1:@0.376759:0.735969:0.392092:0.735969:0.392092:0.722253:0.376759:0.722253:0.000000
2 :@0.392092:0.736357:0.405106:0.736357:0.405106:0.720644:0.392092:0.720644:0.000000:0.000000
,  :@0.400469:0.731589:0.411587:0.731589:0.411587:0.715876:0.400469:0.715876:0.000000:0.000000:0.000000
;:@0.411493:0.731034:0.423771:0.731034:0.423771:0.717319:0.411493:0.717319:0.000000
x:@0.423679:0.731589:0.431134:0.731589:0.431134:0.716154:0.423679:0.716154:0.000000
 :@0.431060:0.731589:0.435091:0.731589:0.435091:0.715876:0.431060:0.715876:0.000000
[ :@0.435018:0.731450:0.454861:0.731450:0.454861:0.717402:0.435018:0.717402:0.000000:0.000000
R:@0.454769:0.730729:0.468059:0.730729:0.468059:0.717832:0.454769:0.717832:0.000000
 \ { 2}.:@0.467967:0.731589:0.519139:0.731589:0.519139:0.715876:0.467967:0.715876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.486981:0.731034:0.502315:0.731034:0.502315:0.717319:0.486981:0.717319:0.000000
(0:@0.103203:0.762525:0.116917:0.762525:0.116917:0.746812:0.103203:0.746812:0.000000:0.000000
3:@0.120860:0.761970:0.136193:0.761970:0.136193:0.748255:0.120860:0.748255:0.000000
  )( )   0    ( )   0,  :@0.136101:0.762525:0.286415:0.762525:0.286415:0.746812:0.136101:0.746812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.140058:0.762525:0.161724:0.762525:0.161724:0.747090:0.140058:0.747090:0.000000:0.000000:0.000000
5 3:@0.170394:0.761970:0.217774:0.761970:0.217774:0.748255:0.170394:0.748255:0.000000:0.000000:0.000000
f x:@0.221639:0.762525:0.238519:0.762525:0.238519:0.747090:0.221639:0.747090:0.000000:0.000000:0.000000
5:@0.247189:0.761970:0.262522:0.761970:0.262522:0.748255:0.247189:0.748255:0.000000
;:@0.286304:0.761970:0.298582:0.761970:0.298582:0.748255:0.286304:0.748255:0.000000
x:@0.298490:0.762525:0.305945:0.762525:0.305945:0.747090:0.298490:0.747090:0.000000
 :@0.305871:0.762525:0.309902:0.762525:0.309902:0.746812:0.305871:0.746812:0.000000
[ :@0.309829:0.762386:0.329672:0.762386:0.329672:0.748338:0.309829:0.748338:0.000000:0.000000
R:@0.329580:0.761665:0.342870:0.761665:0.342870:0.748768:0.329580:0.748768:0.000000
 \ { 2}.:@0.342778:0.762525:0.393950:0.762525:0.393950:0.746812:0.342778:0.746812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.361792:0.761970:0.377125:0.761970:0.377125:0.748255:0.361792:0.748255:0.000000
(10 )( )   10 ( )   10 :@0.103203:0.796121:0.259743:0.796121:0.259743:0.780409:0.103203:0.780409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.125812:0.796121:0.147477:0.796121:0.147477:0.780686:0.125812:0.780686:0.000000:0.000000:0.000000
5:@0.156147:0.795567:0.171480:0.795567:0.171480:0.781851:0.156147:0.781851:0.000000
f x:@0.193145:0.796121:0.210025:0.796121:0.210025:0.780686:0.193145:0.780686:0.000000:0.000000:0.000000
5:@0.218695:0.795567:0.234028:0.795567:0.234028:0.781851:0.218695:0.781851:0.000000
3:@0.273748:0.790074:0.282731:0.790074:0.282731:0.774361:0.273748:0.774361:0.000000
x:@0.261615:0.802173:0.269070:0.802173:0.269070:0.786738:0.261615:0.786738:0.000000
1:@0.269070:0.801785:0.284403:0.801785:0.284403:0.788069:0.269070:0.788069:0.000000
2 :@0.284403:0.802173:0.297417:0.802173:0.297417:0.786460:0.284403:0.786460:0.000000:0.000000
   :@0.292782:0.796121:0.316005:0.796121:0.316005:0.780409:0.292782:0.780409:0.000000:0.000000:0.000000
5:@0.296732:0.795567:0.312066:0.795567:0.312066:0.781851:0.296732:0.781851:0.000000
30:@0.323301:0.789903:0.341266:0.789903:0.341266:0.774191:0.323301:0.774191:0.000000:0.000000
x:@0.317864:0.802247:0.325319:0.802247:0.325319:0.786812:0.317864:0.786812:0.000000
1:@0.325319:0.801859:0.340652:0.801859:0.340652:0.788143:0.325319:0.788143:0.000000
2 :@0.340652:0.802247:0.353666:0.802247:0.353666:0.786535:0.340652:0.786535:0.000000:0.000000
,   :@0.351599:0.796121:0.366675:0.796121:0.366675:0.780409:0.351599:0.780409:0.000000:0.000000:0.000000:0.000000
;:@0.366573:0.795567:0.378851:0.795567:0.378851:0.781851:0.366573:0.781851:0.000000
x:@0.378759:0.796121:0.386213:0.796121:0.386213:0.780686:0.378759:0.780686:0.000000
 :@0.386140:0.796121:0.390171:0.796121:0.390171:0.780409:0.386140:0.780409:0.000000
[ :@0.390097:0.795983:0.409940:0.795983:0.409940:0.781934:0.390097:0.781934:0.000000:0.000000
R:@0.409848:0.795262:0.423138:0.795262:0.423138:0.782364:0.409848:0.782364:0.000000
   { 2}. :@0.423046:0.796121:0.487177:0.796121:0.487177:0.780409:0.423046:0.780409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 2:@0.427004:0.795567:0.466322:0.795567:0.466322:0.781851:0.427004:0.781851:0.000000:0.000000:0.000000
2.  Sea   la función racional definida como  ( )   :@0.073089:0.829603:0.432413:0.829603:0.432413:0.813890:0.073089:0.813890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.132835:0.829603:0.137529:0.829603:0.137529:0.814168:0.132835:0.814168:0.000000
f x:@0.387592:0.829603:0.404471:0.829603:0.404471:0.814168:0.387592:0.814168:0.000000:0.000000:0.000000
5:@0.413141:0.829048:0.428474:0.829048:0.428474:0.815333:0.413141:0.815333:0.000000
x:@0.444836:0.823782:0.452290:0.823782:0.452290:0.808347:0.444836:0.808347:0.000000
x:@0.433646:0.835768:0.441101:0.835768:0.441101:0.820333:0.433646:0.820333:0.000000
1:@0.441101:0.835380:0.456434:0.835380:0.456434:0.821664:0.441101:0.821664:0.000000
1 :@0.456434:0.835768:0.469448:0.835768:0.469448:0.820055:0.456434:0.820055:0.000000:0.000000
,  :@0.464167:0.829603:0.475284:0.829603:0.475284:0.813890:0.464167:0.813890:0.000000:0.000000:0.000000
;:@0.475189:0.829048:0.487467:0.829048:0.487467:0.815333:0.475189:0.815333:0.000000
x:@0.487375:0.829603:0.494830:0.829603:0.494830:0.814168:0.487375:0.814168:0.000000
 :@0.494756:0.829603:0.498787:0.829603:0.498787:0.813890:0.494756:0.813890:0.000000
[ :@0.498714:0.829464:0.518557:0.829464:0.518557:0.815416:0.498714:0.815416:0.000000:0.000000
R:@0.518465:0.828743:0.531755:0.828743:0.531755:0.815846:0.518465:0.815846:0.000000
 \ { 1}.:@0.531663:0.829603:0.582835:0.829603:0.582835:0.813890:0.531663:0.813890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.550677:0.829048:0.566011:0.829048:0.566011:0.815333:0.550677:0.815333:0.000000
 :@0.073089:0.863076:0.077121:0.863076:0.077121:0.847363:0.073089:0.847363:0.000000
Entonces, las funciones  2 ,    están definidas como sigue::@0.103204:0.863076:0.538783:0.863076:0.538783:0.847363:0.103204:0.847363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.275147:0.862521:0.290481:0.862521:0.290481:0.848805:0.275147:0.848805:0.000000
f:@0.299298:0.863076:0.303992:0.863076:0.303992:0.847640:0.299298:0.847640:0.000000
4:@0.313982:0.857365:0.322964:0.857365:0.322964:0.841652:0.313982:0.841652:0.000000
5:@0.313982:0.869401:0.322964:0.869401:0.322964:0.853688:0.313982:0.853688:0.000000
f:@0.324295:0.863076:0.328989:0.863076:0.328989:0.847640:0.324295:0.847640:0.000000
( 2 )    2 ( )    2 :@0.103204:0.896976:0.261800:0.896976:0.261800:0.881264:0.103204:0.881264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.108008:0.896421:0.123341:0.896421:0.123341:0.882706:0.108008:0.882706:0.000000
f:@0.132158:0.896976:0.136852:0.896976:0.136852:0.881541:0.132158:0.881541:0.000000
5 2:@0.145522:0.896421:0.180054:0.896421:0.180054:0.882706:0.145522:0.882706:0.000000:0.000000:0.000000
f x:@0.188871:0.896976:0.205750:0.896976:0.205750:0.881541:0.188871:0.881541:0.000000:0.000000:0.000000
5 2:@0.214420:0.896421:0.248952:0.896421:0.248952:0.882706:0.214420:0.882706:0.000000:0.000000:0.000000
x:@0.274199:0.891647:0.281654:0.891647:0.281654:0.876211:0.274199:0.876211:0.000000
x:@0.263009:0.903633:0.270464:0.903633:0.270464:0.888198:0.263009:0.888198:0.000000
1:@0.270464:0.903245:0.285797:0.903245:0.285797:0.889529:0.270464:0.889529:0.000000
1 :@0.285797:0.903633:0.298811:0.903633:0.298811:0.887921:0.285797:0.887921:0.000000:0.000000
   :@0.293530:0.896976:0.316753:0.896976:0.316753:0.881264:0.293530:0.881264:0.000000:0.000000:0.000000
5:@0.297480:0.896421:0.312814:0.896421:0.312814:0.882706:0.297480:0.882706:0.000000
2:@0.315505:0.889343:0.330838:0.889343:0.330838:0.875628:0.315505:0.875628:0.000000
2  :@0.330838:0.889732:0.351307:0.889732:0.351307:0.874019:0.330838:0.874019:0.000000:0.000000:0.000000
x:@0.339820:0.889732:0.347275:0.889732:0.347275:0.874296:0.339820:0.874296:0.000000
x:@0.317974:0.902722:0.325429:0.902722:0.325429:0.887287:0.317974:0.887287:0.000000
1:@0.325429:0.902334:0.340763:0.902334:0.340763:0.888618:0.325429:0.888618:0.000000
1 :@0.340763:0.902722:0.353777:0.902722:0.353777:0.887010:0.340763:0.887010:0.000000:0.000000
.:@0.348495:0.896976:0.351698:0.896976:0.351698:0.881264:0.348495:0.881264:0.000000
 :@0.073089:0.931723:0.077121:0.931723:0.077121:0.916010:0.073089:0.916010:0.000000
4 :@0.110419:0.927507:0.123433:0.927507:0.123433:0.911794:0.110419:0.911794:0.000000:0.000000
5:@0.110419:0.939544:0.119401:0.939544:0.119401:0.923831:0.110419:0.923831:0.000000
f:@0.121730:0.933946:0.126423:0.933946:0.126423:0.918510:0.121730:0.918510:0.000000
( ):@0.103210:0.940286:0.135177:0.940423:0.135177:0.910330:0.103210:0.910193:0.000000:0.000000:0.000000
    ( )   :@0.135033:0.931723:0.216309:0.931723:0.216309:0.916010:0.135033:0.916010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.138984:0.931168:0.154317:0.931168:0.154317:0.917452:0.138984:0.917452:0.000000
4:@0.161166:0.925279:0.170149:0.925279:0.170149:0.909567:0.161166:0.909567:0.000000
5:@0.161166:0.937316:0.170149:0.937316:0.170149:0.921603:0.161166:0.921603:0.000000
f x:@0.171479:0.931723:0.188367:0.931723:0.188367:0.916287:0.171479:0.916287:0.000000:0.000000:0.000000
5:@0.197037:0.931168:0.212370:0.931168:0.212370:0.917452:0.197037:0.917452:0.000000
4:@0.219225:0.928006:0.228207:0.928006:0.228207:0.912293:0.219225:0.912293:0.000000
5:@0.219225:0.940043:0.228207:0.940043:0.228207:0.924330:0.219225:0.924330:0.000000
( ):@0.229618:0.940938:0.274306:0.940784:0.274306:0.910691:0.229618:0.910844:0.000000:0.000000:0.000000
x:@0.247814:0.928005:0.255269:0.928005:0.255269:0.912570:0.247814:0.912570:0.000000
x:@0.235960:0.940349:0.243415:0.940349:0.243415:0.924914:0.235960:0.924914:0.000000
1:@0.243415:0.939961:0.258748:0.939961:0.258748:0.926245:0.243415:0.926245:0.000000
1 :@0.258748:0.940349:0.271762:0.940349:0.271762:0.924636:0.258748:0.924636:0.000000:0.000000
   :@0.274093:0.931723:0.297315:0.931723:0.297315:0.916010:0.274093:0.916010:0.000000:0.000000:0.000000
5:@0.278042:0.931168:0.293376:0.931168:0.293376:0.917452:0.278042:0.917452:0.000000
4:@0.316351:0.924432:0.325334:0.924432:0.325334:0.908720:0.316351:0.908720:0.000000
x:@0.325334:0.924432:0.332789:0.924432:0.332789:0.908997:0.325334:0.908997:0.000000
5(:@0.297236:0.938015:0.311097:0.938015:0.311097:0.922302:0.297236:0.922302:0.000000:0.000000
x:@0.311097:0.938015:0.318552:0.938015:0.318552:0.922580:0.311097:0.922580:0.000000
1:@0.318552:0.937627:0.333885:0.937627:0.333885:0.923911:0.318552:0.923911:0.000000
1) :@0.333885:0.938015:0.351777:0.938015:0.351777:0.922302:0.333885:0.922302:0.000000:0.000000:0.000000
.:@0.348678:0.931723:0.351881:0.931723:0.351881:0.916010:0.348678:0.916010:0.000000
Figura 2.3:@0.654738:0.294320:0.706065:0.294320:0.706065:0.282892:0.654738:0.282892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.576662:0.220084:0.580745:0.220084:0.580745:0.212942:0.576662:0.212942:0.000000
y:@0.572652:0.135974:0.577070:0.135974:0.577070:0.127403:0.572652:0.127403:0.000000
asíntota V:@0.514679:0.167518:0.553465:0.167518:0.553465:0.158947:0.514679:0.158947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asíntota H:@0.504237:0.210628:0.544589:0.210628:0.544589:0.202057:0.504237:0.202057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.692152:0.222950:0.696459:0.222950:0.696459:0.214380:0.692152:0.214380:0.000000
1:@0.574915:0.206137:0.578998:0.206137:0.578998:0.198995:0.574915:0.198995:0.000000
1:@0.594410:0.220680:0.598493:0.220680:0.598493:0.213537:0.594410:0.213537:0.000000
2:@0.563828:0.220427:0.570798:0.220427:0.570798:0.214193:0.563828:0.214193:0.000000
1:@0.570380:0.220680:0.574463:0.220680:0.574463:0.213537:0.570380:0.213537:0.000000
2:@0.550701:0.220427:0.557670:0.220427:0.557670:0.214193:0.550701:0.214193:0.000000
2:@0.557252:0.220680:0.561335:0.220680:0.561335:0.213537:0.557252:0.213537:0.000000
2:@0.537573:0.220427:0.544543:0.220427:0.544543:0.214193:0.537573:0.214193:0.000000
3:@0.544124:0.220680:0.548207:0.220680:0.548207:0.213537:0.544124:0.213537:0.000000
2:@0.524445:0.220427:0.531415:0.220427:0.531415:0.214193:0.524445:0.214193:0.000000
4:@0.530997:0.220680:0.535080:0.220680:0.535080:0.213537:0.530997:0.213537:0.000000
2:@0.511318:0.220427:0.518287:0.220427:0.518287:0.214193:0.511318:0.214193:0.000000
5:@0.517869:0.220680:0.521952:0.220680:0.521952:0.213537:0.517869:0.213537:0.000000
2:@0.498190:0.220427:0.505159:0.220427:0.505159:0.214193:0.498190:0.214193:0.000000
6:@0.504741:0.220680:0.508824:0.220680:0.508824:0.213537:0.504741:0.213537:0.000000
2:@0.485062:0.220427:0.492032:0.220427:0.492032:0.214193:0.485062:0.214193:0.000000
7:@0.491613:0.220680:0.495696:0.220680:0.495696:0.213537:0.491613:0.213537:0.000000
2:@0.607537:0.220680:0.611620:0.220680:0.611620:0.213537:0.607537:0.213537:0.000000
3:@0.620673:0.220680:0.624756:0.220680:0.624756:0.213537:0.620673:0.213537:0.000000
4:@0.633809:0.220680:0.637893:0.220680:0.637893:0.213537:0.633809:0.213537:0.000000
5:@0.646946:0.220680:0.651029:0.220680:0.651029:0.213537:0.646946:0.213537:0.000000
6:@0.660082:0.220680:0.664165:0.220680:0.664165:0.213537:0.660082:0.213537:0.000000
7:@0.673218:0.220680:0.677301:0.220680:0.677301:0.213537:0.673218:0.213537:0.000000
2:@0.568338:0.236231:0.575308:0.236231:0.575308:0.229996:0.568338:0.229996:0.000000
2:@0.574889:0.236483:0.578973:0.236483:0.578973:0.229341:0.574889:0.229341:0.000000
2:@0.568338:0.246021:0.575308:0.246021:0.575308:0.239786:0.568338:0.239786:0.000000
3:@0.574889:0.246273:0.578973:0.246273:0.578973:0.239131:0.574889:0.239131:0.000000
2:@0.568338:0.255810:0.575308:0.255810:0.575308:0.249576:0.568338:0.249576:0.000000
4:@0.574889:0.256062:0.578973:0.256062:0.578973:0.248920:0.574889:0.248920:0.000000
2:@0.568338:0.265600:0.575308:0.265600:0.575308:0.259366:0.568338:0.259366:0.000000
5:@0.574889:0.265852:0.578973:0.265852:0.578973:0.258710:0.574889:0.258710:0.000000
2:@0.568338:0.275390:0.575308:0.275390:0.575308:0.269155:0.568338:0.269155:0.000000
6:@0.574889:0.275642:0.578973:0.275642:0.578973:0.268500:0.574889:0.268500:0.000000
2:@0.568338:0.285179:0.575308:0.285179:0.575308:0.278945:0.568338:0.278945:0.000000
7:@0.574889:0.285431:0.578973:0.285431:0.578973:0.278289:0.574889:0.278289:0.000000
2:@0.574889:0.196221:0.578973:0.196221:0.578973:0.189079:0.574889:0.189079:0.000000
3:@0.574889:0.186324:0.578973:0.186324:0.578973:0.179182:0.574889:0.179182:0.000000
4:@0.574889:0.176427:0.578973:0.176427:0.578973:0.169285:0.574889:0.169285:0.000000
5:@0.574889:0.166531:0.578973:0.166531:0.578973:0.159388:0.574889:0.159388:0.000000
6:@0.574889:0.156634:0.578973:0.156634:0.578973:0.149492:0.574889:0.149492:0.000000
7:@0.574889:0.146737:0.578973:0.146737:0.578973:0.139595:0.574889:0.139595:0.000000
2:@0.568363:0.226444:0.575333:0.226444:0.575333:0.220209:0.568363:0.220209:0.000000
1:@0.574915:0.226696:0.578998:0.226696:0.578998:0.219554:0.574915:0.219554:0.000000
Las mayores aplicaciones :@0.744880:0.201690:0.914242:0.201690:0.914242:0.187406:0.744880:0.187406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la matemática se dan :@0.744880:0.216819:0.909635:0.216819:0.909635:0.202535:0.744880:0.202535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la física.:@0.744880:0.231948:0.815230:0.231948:0.815230:0.217664:0.744880:0.217664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La matriz energética :@0.744880:0.254225:0.882388:0.254225:0.882388:0.239941:0.744880:0.239941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
está vinculada con la :@0.744880:0.269354:0.886031:0.269354:0.886031:0.255070:0.744880:0.255070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producción y consumo :@0.744880:0.284483:0.902206:0.284483:0.902206:0.270199:0.744880:0.270199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de energía que puede ser :@0.744880:0.299612:0.917745:0.299612:0.917745:0.285328:0.744880:0.285328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de índole eólica, térmica, :@0.744880:0.314741:0.912658:0.314741:0.912658:0.300457:0.744880:0.300457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hidráulica, química y :@0.744880:0.329870:0.883619:0.329870:0.883619:0.315586:0.744880:0.315586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nuclear. Esta matriz se :@0.744880:0.344999:0.892661:0.344999:0.892661:0.330715:0.744880:0.330715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
analiza y estudia en :@0.744880:0.360128:0.876877:0.360128:0.876877:0.345844:0.744880:0.345844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor profundidad con :@0.744880:0.375257:0.905673:0.375257:0.905673:0.360973:0.744880:0.360973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
métodos matemáticos :@0.744880:0.390386:0.898099:0.390386:0.898099:0.376102:0.744880:0.376102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de modelos previamente :@0.744880:0.405515:0.914994:0.405515:0.914994:0.391231:0.744880:0.391231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elaborados, en los cuales :@0.744880:0.420644:0.912462:0.420644:0.912462:0.406360:0.744880:0.406360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intervienen, por ejemplo, :@0.744880:0.435773:0.914376:0.435773:0.914376:0.421488:0.744880:0.421488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones racionales.:@0.744880:0.450902:0.882225:0.450902:0.882225:0.436617:0.744880:0.436617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La matemática contribuye :@0.744880:0.640190:0.921470:0.640190:0.921470:0.625906:0.744880:0.625906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con los estudios que se :@0.744880:0.655319:0.902346:0.655319:0.902346:0.641035:0.744880:0.641035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realizan para optimizar :@0.744880:0.670448:0.897872:0.670448:0.897872:0.656164:0.744880:0.656164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los recursos de energía :@0.744880:0.685577:0.899550:0.685577:0.899550:0.671293:0.744880:0.671293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
renovables. Estos no :@0.744880:0.700706:0.882391:0.700706:0.882391:0.686421:0.744880:0.686421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son más que recursos :@0.744880:0.715835:0.891529:0.715835:0.891529:0.701550:0.744880:0.701550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
abundantes y limpios :@0.744880:0.730964:0.890375:0.730964:0.890375:0.716679:0.744880:0.716679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que no producen gases :@0.744880:0.746093:0.904866:0.746093:0.904866:0.731808:0.744880:0.731808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de efecto invernadero ni :@0.744880:0.761221:0.909984:0.761221:0.909984:0.746937:0.744880:0.746937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otras emisiones dañinas :@0.744880:0.776350:0.906513:0.776350:0.906513:0.762066:0.744880:0.762066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para el medio ambiente.:@0.744880:0.791479:0.905797:0.791479:0.905797:0.777195:0.744880:0.777195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.740294:0.138471:0.891372:0.138471:0.891372:0.123065:0.740294:0.123065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática  :@0.740294:0.153600:0.825787:0.153600:0.825787:0.139316:0.740294:0.139316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y física:@0.740294:0.168729:0.783534:0.168729:0.783534:0.154445:0.740294:0.154445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cátedra de :@0.740294:0.579657:0.821495:0.579657:0.821495:0.564250:0.740294:0.564250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medio ambiente:@0.740294:0.594785:0.858447:0.594785:0.858447:0.579379:0.740294:0.579379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000