65:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000
Resta de funciones racionales:@0.108231:0.097328:0.343308:0.097328:0.343308:0.079645:0.108231:0.079645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,  ,  ,   polinomios reales de grado ≤2,   y   dos funciones racio-:@0.108231:0.114035:0.595758:0.114035:0.595758:0.097538:0.108231:0.097538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p q r s:@0.145760:0.114151:0.196485:0.114151:0.196485:0.097682:0.145760:0.097682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.421401:0.114151:0.448700:0.114151:0.448700:0.097682:0.421401:0.097682:0.000000:0.000000:0.000000
nales definidas como::@0.108231:0.131386:0.261080:0.131386:0.261080:0.114888:0.108231:0.114888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.108231:0.166203:0.125570:0.166203:0.125570:0.149734:0.108231:0.149734:0.000000:0.000000:0.000000
( ) =           ,        :@0.112335:0.166088:0.250385:0.166088:0.250385:0.149590:0.112335:0.149590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.207695:0.173674:0.219268:0.173674:0.219268:0.154675:0.207695:0.154675:0.000000
x:@0.219275:0.166203:0.226750:0.166203:0.226750:0.149734:0.219275:0.149734:0.000000
:@0.230892:0.165720:0.246243:0.165720:0.246243:0.151710:0.230892:0.151710:0.000000
Dom f:@0.250192:0.166203:0.294887:0.166203:0.294887:0.149734:0.250192:0.149734:0.000000:0.000000:0.000000:0.000000:0.000000
( ),     ( ) =           ,        :@0.284831:0.166088:0.464105:0.166088:0.464105:0.149590:0.284831:0.149590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.318815:0.166203:0.339294:0.166203:0.339294:0.149734:0.318815:0.149734:0.000000:0.000000:0.000000
∀:@0.421417:0.173674:0.432990:0.173674:0.432990:0.154675:0.421417:0.154675:0.000000
x:@0.432997:0.166203:0.440472:0.166203:0.440472:0.149734:0.432997:0.149734:0.000000
:@0.444614:0.165720:0.459965:0.165720:0.459965:0.151710:0.444614:0.151710:0.000000
Dom g:@0.463912:0.166203:0.511748:0.166203:0.511748:0.149734:0.463912:0.149734:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.498551:0.166088:0.520071:0.166088:0.520071:0.149590:0.498551:0.149590:0.000000:0.000000:0.000000:0.000000
Dada la función racional  , existe la función racional –  definida como      :@0.108237:0.200789:0.599873:0.200789:0.599873:0.184291:0.108237:0.184291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.282085:0.200905:0.289521:0.200905:0.289521:0.184436:0.282085:0.184436:0.000000
g:@0.481847:0.200905:0.489283:0.200905:0.489283:0.184436:0.481847:0.184436:0.000000
– ( ) =          ,     :@0.108237:0.225268:0.251502:0.225269:0.251502:0.208771:0.108237:0.208770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.118737:0.225384:0.139601:0.225384:0.139601:0.208915:0.118737:0.208915:0.000000:0.000000:0.000000
∀:@0.208813:0.232855:0.220385:0.232855:0.220385:0.213856:0.208813:0.213856:0.000000
x:@0.220394:0.225384:0.227869:0.225384:0.227869:0.208916:0.220394:0.208916:0.000000
:@0.232010:0.224901:0.247360:0.224901:0.247360:0.210891:0.232010:0.210891:0.000000
Dom f:@0.251309:0.225384:0.296005:0.225384:0.296005:0.208916:0.251309:0.208916:0.000000:0.000000:0.000000:0.000000:0.000000
( ), tal que   + (– ) = 0. Como las funciones  :@0.285948:0.225269:0.598038:0.225269:0.598038:0.208771:0.285948:0.208771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.361372:0.225384:0.368808:0.225384:0.368808:0.208916:0.361372:0.208916:0.000000
g:@0.404353:0.225384:0.411789:0.225384:0.411789:0.208916:0.404353:0.208916:0.000000
f  –g:@0.108226:0.249863:0.146102:0.249863:0.146102:0.233395:0.108226:0.233395:0.000000:0.000000:0.000000:0.000000:0.000000
y   son racionales, podemos sumar estas dos funciones.:@0.116665:0.249748:0.519378:0.249748:0.519378:0.233250:0.116665:0.233250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.108226:0.267099:0.116510:0.267099:0.116510:0.250601:0.108226:0.250601:0.000000:0.000000
Definición:@0.108226:0.284912:0.188312:0.284912:0.188312:0.267966:0.108226:0.267966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Se define la función   –   como sigue::@0.188312:0.284449:0.458638:0.284449:0.458638:0.267952:0.188312:0.267952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.339444:0.284565:0.369960:0.284565:0.369960:0.268096:0.339444:0.268096:0.000000:0.000000:0.000000
(  –  )( ) =  ( ) –  ( ) =                                    ,     :@0.108226:0.319151:0.465996:0.319150:0.465996:0.302652:0.108226:0.302653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g x:@0.114179:0.319266:0.163807:0.319266:0.163807:0.302798:0.114179:0.302798:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.188582:0.319266:0.206306:0.319266:0.206306:0.302798:0.188582:0.302798:0.000000:0.000000:0.000000
g x:@0.230773:0.319266:0.251637:0.319266:0.251637:0.302798:0.230773:0.302798:0.000000:0.000000:0.000000
∀:@0.423441:0.326737:0.435014:0.326737:0.435014:0.307737:0.423441:0.307737:0.000000
x:@0.435022:0.319266:0.442497:0.319266:0.442497:0.302797:0.435022:0.302797:0.000000
:@0.446504:0.318782:0.461854:0.318782:0.461854:0.304772:0.446504:0.304772:0.000000
Dom f:@0.465669:0.319266:0.510364:0.319266:0.510364:0.302797:0.465669:0.302797:0.000000:0.000000:0.000000:0.000000:0.000000
( )   :@0.500308:0.319150:0.539936:0.319150:0.539936:0.302652:0.500308:0.302652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.519746:0.318933:0.535794:0.318933:0.535794:0.304286:0.519746:0.304286:0.000000
Dom g:@0.539609:0.319266:0.587445:0.319266:0.587445:0.302797:0.539609:0.302797:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.574248:0.319150:0.595767:0.319150:0.595767:0.302652:0.574248:0.302652:0.000000:0.000000:0.000000:0.000000
 :@0.108241:0.336501:0.112383:0.336501:0.112383:0.320003:0.108241:0.320003:0.000000
En forma abreviada escribimos:  –   =      –      =               ,   ≠ 0,   ≠ 0.:@0.108241:0.353852:0.592606:0.353852:0.592606:0.337354:0.108241:0.337354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f  g:@0.332507:0.353967:0.363024:0.353967:0.363024:0.337499:0.332507:0.337499:0.000000:0.000000:0.000000:0.000000
q:@0.512231:0.353967:0.521401:0.353967:0.521401:0.337499:0.512231:0.337499:0.000000
s:@0.555886:0.353967:0.562263:0.353967:0.562263:0.337499:0.555886:0.337499:0.000000
Por la propiedad conmutativa, se tiene   –   = –  +  .:@0.108240:0.388553:0.480558:0.388553:0.480558:0.372055:0.108240:0.372055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.386871:0.388669:0.417387:0.388669:0.417387:0.372200:0.386871:0.372200:0.000000:0.000000:0.000000
g f:@0.446979:0.388669:0.477803:0.388669:0.477803:0.372200:0.446979:0.372200:0.000000:0.000000:0.000000
Multiplicación de funciones racionales:@0.108231:0.424652:0.417224:0.424652:0.417224:0.406969:0.108231:0.406969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,  ,  ,   polinomios reales de grado ≤ 2,   y   dos funciones racio-:@0.108231:0.441360:0.595738:0.441360:0.595738:0.424862:0.108231:0.424862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p q r s:@0.145509:0.441475:0.195483:0.441475:0.195483:0.425007:0.145509:0.425007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.422521:0.441475:0.449319:0.441475:0.449319:0.425007:0.422521:0.425007:0.000000:0.000000:0.000000
nales definidas como::@0.108212:0.458711:0.261060:0.458711:0.261060:0.442213:0.108212:0.442213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f  x:@0.108212:0.483305:0.130078:0.483305:0.130078:0.466836:0.108212:0.466836:0.000000:0.000000:0.000000:0.000000
( ) =          ,        :@0.116650:0.483190:0.253660:0.483189:0.253660:0.466691:0.116650:0.466692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.210970:0.490775:0.222543:0.490775:0.222543:0.471776:0.210970:0.471776:0.000000
x:@0.222550:0.483305:0.230025:0.483305:0.230025:0.466836:0.222550:0.466836:0.000000
:@0.234168:0.482821:0.249518:0.482821:0.249518:0.468811:0.234168:0.468811:0.000000
Dom f:@0.253467:0.483305:0.298163:0.483305:0.298163:0.466836:0.253467:0.466836:0.000000:0.000000:0.000000:0.000000:0.000000
( ),     ( ) =           ,        :@0.288106:0.483189:0.467380:0.483189:0.467380:0.466691:0.288106:0.466691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.322090:0.483305:0.342569:0.483305:0.342569:0.466836:0.322090:0.466836:0.000000:0.000000:0.000000
∀:@0.424693:0.490775:0.436265:0.490775:0.436265:0.471776:0.424693:0.471776:0.000000
x:@0.436272:0.483305:0.443747:0.483305:0.443747:0.466836:0.436272:0.466836:0.000000
:@0.447890:0.482821:0.463240:0.482821:0.463240:0.468811:0.447890:0.468811:0.000000
Dom g:@0.467187:0.483305:0.515023:0.483305:0.515023:0.466836:0.467187:0.466836:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.501826:0.483189:0.523346:0.483189:0.523346:0.466691:0.501826:0.466691:0.000000:0.000000:0.000000:0.000000
Definición:@0.108237:0.524383:0.188321:0.524383:0.188321:0.507437:0.108237:0.507437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Se define la función   como sigue::@0.188323:0.523920:0.439983:0.523920:0.439983:0.507422:0.188323:0.507422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fg:@0.339455:0.524036:0.351303:0.524036:0.351303:0.507567:0.339455:0.507567:0.000000:0.000000
( )( ) =  ( ) ( ) =          ×          =                  ,     :@0.108237:0.557118:0.464494:0.557118:0.464494:0.540621:0.108237:0.540620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fg x:@0.114190:0.557233:0.145419:0.557233:0.145419:0.540765:0.114190:0.540765:0.000000:0.000000:0.000000:0.000000
f x g x:@0.170464:0.557233:0.215005:0.557233:0.215005:0.540765:0.170464:0.540765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.421804:0.564705:0.433377:0.564705:0.433377:0.545706:0.421804:0.545706:0.000000
x:@0.433384:0.557234:0.440859:0.557234:0.440859:0.540765:0.433384:0.540765:0.000000
:@0.445001:0.556750:0.460352:0.556750:0.460352:0.542740:0.445001:0.542740:0.000000
Dom f:@0.464301:0.557234:0.508996:0.557234:0.508996:0.540765:0.464301:0.540765:0.000000:0.000000:0.000000:0.000000:0.000000
( )   :@0.498940:0.557118:0.538703:0.557118:0.538703:0.540621:0.498940:0.540621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.518513:0.556901:0.534561:0.556901:0.534561:0.542254:0.518513:0.542254:0.000000
Dom g:@0.538511:0.557234:0.586346:0.557234:0.586346:0.540765:0.538511:0.540765:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.573150:0.557118:0.594669:0.557118:0.594669:0.540621:0.573150:0.540621:0.000000:0.000000:0.000000:0.000000
En forma abreviada escribimos:    =      ×      =        ,   ≠ 0,   ≠ 0.:@0.108241:0.603141:0.555175:0.603141:0.555175:0.586643:0.108241:0.586643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fg:@0.336646:0.603257:0.348494:0.603257:0.348494:0.586788:0.336646:0.586788:0.000000:0.000000
q:@0.474801:0.603257:0.483971:0.603257:0.483971:0.586788:0.474801:0.586788:0.000000
s:@0.518456:0.603257:0.524832:0.603257:0.524832:0.586788:0.518456:0.586788:0.000000
 :@0.108241:0.620492:0.112383:0.620492:0.112383:0.603994:0.108241:0.603994:0.000000
Las imágenes de funciones racionales son números reales, por lo tan-:@0.108241:0.637843:0.595800:0.637843:0.595800:0.621345:0.108241:0.621345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
to, las operaciones con funciones racionales heredan las propiedades :@0.108241:0.655193:0.599981:0.655193:0.599981:0.638696:0.108241:0.638696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algebraicas de los números reales. Por otro lado, para calcular el pro-:@0.108241:0.672544:0.595704:0.672544:0.595704:0.656046:0.108241:0.656046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ducto de dos funciones, la operación se realiza en cada uno de los :@0.108241:0.689895:0.599842:0.689895:0.599842:0.673397:0.108241:0.673397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puntos en los que están bien definidas. Es preciso observar si es o no :@0.108241:0.707246:0.599979:0.707246:0.599979:0.690748:0.108241:0.690748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
posible simplificar la escritura de::@0.108241:0.724596:0.342173:0.724596:0.342173:0.708099:0.108241:0.708099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
                ,       :@0.224853:0.756204:0.348983:0.756198:0.348983:0.739700:0.224853:0.739706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.306293:0.763784:0.317866:0.763784:0.317866:0.744785:0.306293:0.744785:0.000000
x:@0.317874:0.756314:0.325349:0.756314:0.325349:0.739845:0.317874:0.739845:0.000000
:@0.329490:0.755830:0.344841:0.755830:0.344841:0.741820:0.329490:0.741820:0.000000
Dom f:@0.348790:0.756314:0.393485:0.756314:0.393485:0.739845:0.348790:0.739845:0.000000:0.000000:0.000000:0.000000:0.000000
( )   :@0.383429:0.756198:0.423192:0.756198:0.423192:0.739700:0.383429:0.739700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.403002:0.755981:0.419050:0.755981:0.419050:0.741334:0.403002:0.741334:0.000000
Dom g:@0.423000:0.756314:0.470835:0.756314:0.470835:0.739845:0.423000:0.739845:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.457639:0.756198:0.479158:0.756198:0.479158:0.739700:0.457639:0.739700:0.000000:0.000000:0.000000:0.000000
      :@0.108225:0.773549:0.133077:0.773549:0.133077:0.757051:0.108225:0.757051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dadas las funciones racionales  ,  , la función   está definida única-:@0.108225:0.790900:0.595747:0.790900:0.595747:0.774402:0.108225:0.774402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.331759:0.791015:0.351603:0.791015:0.351603:0.774546:0.331759:0.774546:0.000000:0.000000:0.000000
fg:@0.436948:0.791015:0.448796:0.791015:0.448796:0.774546:0.436948:0.774546:0.000000:0.000000
mente en el conjunto :@0.108244:0.808250:0.268117:0.808250:0.268117:0.791753:0.108244:0.791753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom f:@0.268897:0.808366:0.314363:0.808366:0.314363:0.791897:0.268897:0.791897:0.000000:0.000000:0.000000:0.000000:0.000000
( )   :@0.304114:0.808250:0.345419:0.808250:0.345419:0.791753:0.304114:0.791753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.325229:0.808033:0.341276:0.808033:0.341276:0.793386:0.325229:0.793386:0.000000
Dom g:@0.346208:0.808366:0.394815:0.808366:0.394815:0.791897:0.346208:0.791897:0.000000:0.000000:0.000000:0.000000:0.000000
( ). Dada la función racional  , :@0.381425:0.808250:0.599913:0.808250:0.599913:0.791753:0.381425:0.791753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.588719:0.808366:0.593016:0.808366:0.593016:0.791897:0.588719:0.791897:0.000000
se denota   =  ,    =    , y así sucesivamente.:@0.108244:0.825601:0.430596:0.825601:0.430596:0.809103:0.108244:0.809103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f·f f f:@0.182163:0.825717:0.238406:0.825717:0.238406:0.809248:0.182163:0.809248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.218117:0.819248:0.223070:0.819248:0.223070:0.809630:0.218117:0.809630:0.000000
3:@0.239753:0.819248:0.244706:0.819248:0.244706:0.809630:0.239753:0.809630:0.000000
f f:@0.263798:0.825717:0.282833:0.825717:0.282833:0.809248:0.263798:0.809248:0.000000:0.000000:0.000000
2:@0.269443:0.819248:0.274396:0.819248:0.274396:0.809630:0.269443:0.809630:0.000000
Sean  ,   polinomios reales de grado ≤ 2,:@0.108232:0.857281:0.397901:0.857281:0.397901:0.840783:0.108232:0.840783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p q:@0.146031:0.857396:0.171364:0.857396:0.171364:0.840928:0.146031:0.840928:0.000000:0.000000:0.000000
A:@0.250699:0.881875:0.261969:0.881875:0.261969:0.865407:0.250699:0.865407:0.000000
 = {  :@0.261969:0.881760:0.298534:0.881760:0.298534:0.865262:0.261969:0.865262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.286917:0.881875:0.294392:0.881875:0.294392:0.865407:0.286917:0.865407:0.000000
 :@0.298534:0.881543:0.319013:0.881543:0.319013:0.866896:0.298534:0.866896:0.000000:0.000000
:@0.319013:0.880791:0.332923:0.880791:0.332923:0.867344:0.319013:0.867344:0.000000
 |  ( ) = 0},:@0.332152:0.881760:0.410196:0.881760:0.410196:0.865262:0.332152:0.865262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q x:@0.345445:0.881875:0.368043:0.881875:0.368043:0.865407:0.345445:0.865407:0.000000:0.000000:0.000000
B:@0.250699:0.899226:0.259888:0.899226:0.259888:0.882757:0.250699:0.882757:0.000000
 = {  :@0.259888:0.899110:0.296454:0.899110:0.296454:0.882613:0.259888:0.882613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.284837:0.899226:0.292312:0.899226:0.292312:0.882757:0.284837:0.882757:0.000000
 :@0.296454:0.898894:0.316933:0.898894:0.316933:0.884247:0.296454:0.884247:0.000000:0.000000
:@0.316933:0.898142:0.330842:0.898142:0.330842:0.884695:0.316933:0.884695:0.000000
 |  ( ) = 0}, :@0.330072:0.899110:0.412354:0.899110:0.412354:0.882613:0.330072:0.882613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x:@0.343365:0.899226:0.366059:0.899226:0.366059:0.882757:0.343365:0.882757:0.000000:0.000000:0.000000
f:@0.108232:0.930906:0.112528:0.930906:0.112528:0.914437:0.108232:0.914437:0.000000
 la función racional definida como   ( ) =           ,        \ :@0.112528:0.930790:0.513811:0.930799:0.513811:0.914301:0.112528:0.914292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.359757:0.930906:0.377481:0.930906:0.377481:0.914437:0.359757:0.914437:0.000000:0.000000:0.000000
∀:@0.446199:0.938385:0.457772:0.938385:0.457772:0.919386:0.446199:0.919386:0.000000
x:@0.457780:0.930914:0.465255:0.930914:0.465255:0.914445:0.457780:0.914445:0.000000
:@0.468773:0.930431:0.484123:0.930431:0.484123:0.916421:0.468773:0.916421:0.000000
:@0.487456:0.929830:0.501366:0.929830:0.501366:0.916383:0.487456:0.916383:0.000000
A = Dom f:@0.513002:0.930914:0.587058:0.930914:0.587058:0.914445:0.513002:0.914445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.576808:0.930799:0.595765:0.930799:0.595765:0.914301:0.576808:0.914301:0.000000:0.000000:0.000000:0.000000
p x:@0.404209:0.923337:0.426904:0.923337:0.426904:0.906869:0.404209:0.906869:0.000000:0.000000:0.000000
( ):@0.413476:0.923222:0.432857:0.923222:0.432857:0.906724:0.413476:0.906724:0.000000:0.000000:0.000000
q x:@0.404248:0.939676:0.426846:0.939676:0.426846:0.923207:0.404248:0.923207:0.000000:0.000000:0.000000
( ):@0.413418:0.939560:0.432799:0.939560:0.432799:0.923063:0.413418:0.923063:0.000000:0.000000:0.000000
p x:@0.153419:0.158691:0.176114:0.158691:0.176114:0.142222:0.153419:0.142222:0.000000:0.000000:0.000000
( ):@0.162686:0.158575:0.182067:0.158575:0.182067:0.142078:0.162686:0.142078:0.000000:0.000000:0.000000
q x:@0.153458:0.175029:0.176056:0.175029:0.176056:0.158561:0.153458:0.158561:0.000000:0.000000:0.000000
( ):@0.162628:0.174914:0.182009:0.174914:0.182009:0.158416:0.162628:0.158416:0.000000:0.000000:0.000000
r x:@0.368096:0.158877:0.387554:0.158877:0.387554:0.142408:0.368096:0.142408:0.000000:0.000000:0.000000
( ):@0.374126:0.158761:0.393507:0.158761:0.393507:0.142264:0.374126:0.142264:0.000000:0.000000:0.000000
s x:@0.367923:0.175216:0.387728:0.175216:0.387728:0.158747:0.367923:0.158747:0.000000:0.000000:0.000000
( ):@0.374300:0.175100:0.393680:0.175100:0.393680:0.158602:0.374300:0.158602:0.000000:0.000000:0.000000
–r x:@0.164258:0.217119:0.193753:0.217119:0.193753:0.200650:0.164258:0.200650:0.000000:0.000000:0.000000:0.000000
( ):@0.180325:0.217003:0.199706:0.217003:0.199706:0.200506:0.180325:0.200506:0.000000:0.000000:0.000000
s x:@0.169094:0.233458:0.188898:0.233458:0.188898:0.216989:0.169094:0.216989:0.000000:0.000000:0.000000
( ):@0.175470:0.233342:0.194851:0.233342:0.194851:0.216844:0.175470:0.216844:0.000000:0.000000:0.000000
p x s x – q x r x:@0.281744:0.311740:0.402480:0.311740:0.402480:0.295271:0.281744:0.295271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ( ) :@0.291011:0.311624:0.340291:0.311624:0.340291:0.295126:0.291011:0.295126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ( ):@0.363641:0.311624:0.408433:0.311624:0.408433:0.295126:0.363641:0.295126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q x  s x:@0.315863:0.328078:0.368361:0.328078:0.368361:0.311609:0.315863:0.311609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ( ):@0.325033:0.327963:0.374314:0.327963:0.374314:0.311465:0.325033:0.311465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.385517:0.346090:0.394784:0.346090:0.394784:0.329622:0.385517:0.329622:0.000000
q:@0.385556:0.362429:0.394726:0.362429:0.394726:0.345960:0.385556:0.345960:0.000000
ps   qr:@0.450550:0.346446:0.499888:0.346446:0.499888:0.329977:0.450550:0.329977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.470200:0.346330:0.480700:0.346330:0.480700:0.329833:0.470200:0.329833:0.000000
qs:@0.467561:0.362785:0.482877:0.362785:0.482877:0.346316:0.467561:0.346316:0.000000:0.000000
r:@0.419335:0.346090:0.425365:0.346090:0.425365:0.329622:0.419335:0.329622:0.000000
s:@0.419162:0.362429:0.425539:0.362429:0.425539:0.345960:0.419162:0.345960:0.000000
p x:@0.159718:0.475381:0.182413:0.475381:0.182413:0.458912:0.159718:0.458912:0.000000:0.000000:0.000000
( ):@0.168985:0.475265:0.188366:0.475265:0.188366:0.458768:0.168985:0.458768:0.000000:0.000000:0.000000
q x:@0.159776:0.491720:0.182374:0.491720:0.182374:0.475251:0.159776:0.475251:0.000000:0.000000:0.000000
( ):@0.168946:0.491604:0.188327:0.491604:0.188327:0.475106:0.168946:0.475106:0.000000:0.000000:0.000000
r x:@0.373960:0.475381:0.393417:0.475381:0.393417:0.458912:0.373960:0.458912:0.000000:0.000000:0.000000
( ):@0.379990:0.475265:0.399370:0.475265:0.399370:0.458768:0.379990:0.458768:0.000000:0.000000:0.000000
s x:@0.373786:0.491720:0.393591:0.491720:0.393591:0.475251:0.373786:0.475251:0.000000:0.000000:0.000000
( ):@0.380163:0.491604:0.399544:0.491604:0.399544:0.475106:0.380163:0.475106:0.000000:0.000000:0.000000
p:@0.372825:0.595775:0.382092:0.595775:0.382092:0.579306:0.372825:0.579306:0.000000
q:@0.372864:0.612114:0.382034:0.612114:0.382034:0.595645:0.372864:0.595645:0.000000
r:@0.408634:0.595775:0.414664:0.595775:0.414664:0.579306:0.408634:0.579306:0.000000
s:@0.408460:0.612114:0.414837:0.612114:0.414837:0.595645:0.408460:0.595645:0.000000
pr:@0.445343:0.595775:0.460582:0.595775:0.460582:0.579306:0.445343:0.579306:0.000000:0.000000
qs:@0.445305:0.612114:0.460621:0.612114:0.460621:0.595645:0.445305:0.595645:0.000000:0.000000
p x:@0.241627:0.549680:0.264322:0.549680:0.264322:0.533211:0.241627:0.533211:0.000000:0.000000:0.000000
( ):@0.250894:0.549564:0.270275:0.549564:0.270275:0.533067:0.250894:0.533067:0.000000:0.000000:0.000000
q x:@0.241666:0.566019:0.264264:0.566019:0.264264:0.549550:0.241666:0.549550:0.000000:0.000000:0.000000
( ):@0.250836:0.565903:0.270217:0.565903:0.270217:0.549405:0.250836:0.549405:0.000000:0.000000:0.000000
r x:@0.295250:0.549680:0.314708:0.549680:0.314708:0.533211:0.295250:0.533211:0.000000:0.000000:0.000000
( ):@0.301280:0.549564:0.320661:0.549564:0.320661:0.533067:0.301280:0.533067:0.000000:0.000000:0.000000
s x:@0.295077:0.566019:0.314881:0.566019:0.314881:0.549550:0.295077:0.549550:0.000000:0.000000:0.000000
( ):@0.301454:0.565903:0.320834:0.565903:0.320834:0.549405:0.301454:0.549405:0.000000:0.000000:0.000000
p x r x:@0.350047:0.549680:0.402295:0.549680:0.402295:0.533211:0.350047:0.533211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  ( ):@0.359314:0.549564:0.408248:0.549564:0.408248:0.533067:0.359314:0.533067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q x s x:@0.349912:0.566019:0.402410:0.566019:0.402410:0.549550:0.349912:0.549550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  ( ):@0.359083:0.565903:0.408363:0.565903:0.408363:0.549405:0.359083:0.549405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x r x:@0.227529:0.748463:0.279776:0.748463:0.279776:0.731994:0.227529:0.731994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  ( ):@0.236795:0.748347:0.285729:0.748347:0.285729:0.731850:0.236795:0.731850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q x s x:@0.227394:0.764802:0.279892:0.764802:0.279892:0.748333:0.227394:0.748333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  ( ):@0.236564:0.764686:0.285844:0.764686:0.285844:0.748188:0.236564:0.748188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el cálculo con núme-:@0.684626:0.133569:0.841087:0.133569:0.841087:0.118506:0.684626:0.118506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ros reales se cumple::@0.638505:0.149411:0.770376:0.149411:0.770376:0.134348:0.638505:0.134348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema:@0.638505:0.172804:0.699629:0.172804:0.699629:0.157332:0.638505:0.157332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i.:@0.638505:0.188422:0.645453:0.188422:0.645453:0.173161:0.638505:0.173161:0.000000:0.000000
  (  –  ) =   –  .:@0.645452:0.188224:0.767070:0.188224:0.767070:0.173161:0.645452:0.173161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.655127:0.188329:0.697624:0.188329:0.697624:0.173293:0.655127:0.173293:0.000000:0.000000:0.000000:0.000000:0.000000
xy xz:@0.720491:0.188329:0.764554:0.188329:0.764554:0.173293:0.720491:0.173293:0.000000:0.000000:0.000000:0.000000:0.000000
ii.:@0.638504:0.211393:0.649340:0.211393:0.649340:0.196131:0.638504:0.196131:0.000000:0.000000:0.000000
      +      =                ,:@0.649341:0.211195:0.779488:0.211195:0.779488:0.196131:0.649341:0.196131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  siempre que   ≠ 0,   ≠ 0.:@0.638505:0.235948:0.813207:0.235948:0.813207:0.220885:0.638505:0.220885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.738590:0.236054:0.745608:0.236054:0.745608:0.221017:0.738590:0.221017:0.000000
u:@0.777094:0.236054:0.785502:0.236054:0.785502:0.221017:0.777094:0.221017:0.000000
iii.:@0.638504:0.259117:0.653227:0.259117:0.653227:0.243856:0.638504:0.243856:0.000000:0.000000:0.000000:0.000000
      –      =                ,:@0.653227:0.258919:0.779207:0.258919:0.779207:0.243856:0.653227:0.243856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  siempre que   ≠ 0,   ≠ 0.:@0.638505:0.281890:0.813207:0.281890:0.813207:0.266827:0.638505:0.266827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.738590:0.281996:0.745608:0.281996:0.745608:0.266959:0.738590:0.266959:0.000000
u:@0.777094:0.281996:0.785502:0.281996:0.785502:0.266959:0.777094:0.266959:0.000000
iv. :@0.638504:0.305059:0.656112:0.305059:0.656112:0.289798:0.638504:0.289798:0.000000:0.000000:0.000000:0.000000
     ×      =       ,:@0.655127:0.304861:0.745452:0.304861:0.745452:0.289798:0.655127:0.289798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  siempre que   ≠ 0,   ≠ 0.:@0.638505:0.327832:0.813207:0.327832:0.813207:0.312769:0.638505:0.312769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.738590:0.327937:0.745608:0.327937:0.745608:0.312901:0.738590:0.312901:0.000000
u:@0.777094:0.327937:0.785502:0.327937:0.785502:0.312901:0.777094:0.312901:0.000000
v. :@0.638504:0.366843:0.652296:0.366843:0.652296:0.351582:0.638504:0.351582:0.000000:0.000000:0.000000
       =       , :@0.655127:0.366645:0.724238:0.366645:0.724238:0.351582:0.655127:0.351582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  con   ≠ 0,   ≠ 0,   ≠ 0.:@0.638505:0.405458:0.795689:0.405458:0.795689:0.390394:0.638505:0.390394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.683517:0.405563:0.690535:0.405563:0.690535:0.390526:0.683517:0.390526:0.000000
z:@0.722022:0.405563:0.728090:0.405563:0.728090:0.390526:0.722022:0.390526:0.000000
u:@0.759576:0.405563:0.767984:0.405563:0.767984:0.390526:0.759576:0.390526:0.000000
x:@0.658043:0.204053:0.664868:0.204053:0.664868:0.189016:0.658043:0.189016:0.000000
y:@0.657938:0.220397:0.664956:0.220397:0.664956:0.205360:0.657938:0.205360:0.000000
x:@0.658993:0.251830:0.665818:0.251830:0.665818:0.236794:0.658993:0.236794:0.000000
y:@0.658888:0.268174:0.665906:0.268174:0.665906:0.253137:0.658888:0.253137:0.000000
x:@0.658993:0.297660:0.665818:0.297660:0.665818:0.282624:0.658993:0.282624:0.000000
y:@0.658888:0.314004:0.665906:0.314004:0.665906:0.298967:0.658888:0.298967:0.000000
z:@0.691781:0.204053:0.697850:0.204053:0.697850:0.189016:0.691781:0.189016:0.000000
u:@0.690602:0.220397:0.699011:0.220397:0.699011:0.205360:0.690602:0.205360:0.000000
z:@0.691781:0.251830:0.697850:0.251830:0.697850:0.236794:0.691781:0.236794:0.000000
u:@0.690602:0.268174:0.699011:0.268174:0.699011:0.253137:0.690602:0.253137:0.000000
z:@0.691781:0.297660:0.697850:0.297660:0.697850:0.282624:0.691781:0.282624:0.000000
u:@0.690602:0.314004:0.699011:0.314004:0.699011:0.298967:0.690602:0.298967:0.000000
x:@0.662726:0.343949:0.669551:0.343949:0.669551:0.328912:0.662726:0.328912:0.000000
y:@0.662620:0.360293:0.669639:0.360293:0.669639:0.345256:0.662620:0.345256:0.000000
z:@0.663104:0.376550:0.669173:0.376550:0.669173:0.361513:0.663104:0.361513:0.000000
u:@0.661926:0.392893:0.670334:0.392893:0.670334:0.377857:0.661926:0.377857:0.000000
xu + yz:@0.725408:0.204053:0.771125:0.204053:0.771125:0.189016:0.725408:0.189016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
yu:@0.740500:0.220397:0.756015:0.220397:0.756015:0.205360:0.740500:0.205360:0.000000:0.000000
xu – yz:@0.725795:0.251830:0.770738:0.251830:0.770738:0.236794:0.725795:0.236794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
yu:@0.740500:0.268174:0.756015:0.268174:0.756015:0.253137:0.740500:0.253137:0.000000:0.000000
xz:@0.725199:0.297660:0.738092:0.297660:0.738092:0.282624:0.725199:0.282624:0.000000:0.000000
yu:@0.723879:0.314004:0.739394:0.314004:0.739394:0.298967:0.723879:0.298967:0.000000:0.000000
xu:@0.697356:0.359819:0.712484:0.359819:0.712484:0.344782:0.697356:0.344782:0.000000:0.000000
yz:@0.698376:0.376162:0.711463:0.376162:0.711463:0.361126:0.698376:0.361126:0.000000:0.000000
Competencia :@0.684388:0.097531:0.782011:0.097531:0.782011:0.082058:0.684388:0.082058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.684388:0.110099:0.768451:0.110099:0.768451:0.094626:0.684388:0.094626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.684804:0.539578:0.782426:0.539578:0.782426:0.524105:0.684804:0.524105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
socioemocional:@0.684804:0.552146:0.795179:0.552146:0.795179:0.536673:0.684804:0.536673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Albert Einstein dijo: “Hay :@0.685042:0.576620:0.849331:0.576620:0.849331:0.561557:0.685042:0.561557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una fuerza motriz más podero-:@0.638498:0.592462:0.840305:0.592462:0.840305:0.577399:0.638498:0.577399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sa que el vapor, la electricidad y :@0.638498:0.608304:0.845635:0.608304:0.845635:0.593241:0.638498:0.593241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la energía atómica: la voluntad”. :@0.638498:0.624146:0.845832:0.624146:0.845832:0.609083:0.638498:0.609083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde:@0.638503:0.870311:0.707456:0.870311:0.707456:0.854838:0.638503:0.854838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: ¿cómo puedes :@0.707456:0.869888:0.811939:0.869888:0.811939:0.854825:0.707456:0.854825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicar estas sabias palabras del :@0.638503:0.885730:0.843441:0.885730:0.843441:0.870667:0.638503:0.870667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gran genio para mejorar tu vida :@0.638503:0.901572:0.845888:0.901572:0.845888:0.886509:0.638503:0.886509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diaria?:@0.638503:0.917414:0.678820:0.917414:0.678820:0.902351:0.638503:0.902351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pixabay.com:@0.871305:0.830900:0.871305:0.796531:0.859836:0.796531:0.859836:0.830900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000