15:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento numérico y variacional:@0.603717:0.043661:0.926913:0.043661:0.926913:0.024916:0.603717:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 1 (Ev. 2) Propone y justifica diferentes estrategias para resolver problemas con números reales en contextos aplicados y extraescolares.:@0.083241:0.971366:0.812131:0.971366:0.812131:0.959939:0.083241:0.959939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.073089:0.136836:0.148872:0.136836:0.148872:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.073089:0.162354:0.112602:0.162354:0.112602:0.146641:0.073089:0.146641:0.000000:0.000000:0.000000:0.000000:0.000000
A, B, C, D:@0.112315:0.162354:0.171023:0.162354:0.171023:0.146918:0.112315:0.146918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los vértices de un rectángulo, tales que :@0.171015:0.162354:0.459956:0.162354:0.459956:0.146641:0.171015:0.146641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los lados :@0.073089:0.180008:0.139410:0.180008:0.139410:0.164295:0.073089:0.164295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.158936:0.179999:0.174508:0.179999:0.174508:0.164286:0.158936:0.164286:0.000000:0.000000:0.000000
 son paralelos. De manera similar, los :@0.194883:0.179999:0.459714:0.179999:0.459714:0.164286:0.194883:0.164286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lados :@0.073089:0.197650:0.116235:0.197650:0.116235:0.181937:0.073089:0.181937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.136763:0.197650:0.153606:0.197650:0.153606:0.181937:0.136763:0.181937:0.000000:0.000000:0.000000
 son paralelos, como se muestra en la :@0.176690:0.197650:0.459577:0.197650:0.459577:0.181937:0.176690:0.181937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 1.1.:@0.073089:0.215300:0.146121:0.215300:0.146121:0.199587:0.073089:0.199587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Supongamos que el ángulo en el vértice   es recto, :@0.073089:0.240817:0.459753:0.240817:0.459753:0.225105:0.073089:0.225105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.379643:0.240817:0.389528:0.240817:0.389528:0.225382:0.379643:0.225382:0.000000
entonces la recta :@0.073089:0.258472:0.201330:0.258472:0.201330:0.242759:0.073089:0.242759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es perpendicular a la recta :@0.221470:0.258464:0.421021:0.258464:0.421021:0.242751:0.221470:0.242751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.443406:0.258464:0.459752:0.258464:0.459752:0.242751:0.443406:0.242751:0.000000:0.000000:0.000000
la recta :@0.073089:0.276115:0.128609:0.276115:0.128609:0.260402:0.073089:0.260402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es también perpendicular a la recta :@0.148091:0.276115:0.407386:0.276115:0.407386:0.260402:0.148091:0.260402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, con lo que el ángulo en el vértice :@0.426723:0.276115:0.674639:0.276115:0.674639:0.260402:0.426723:0.260402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.073089:0.293765:0.081924:0.293765:0.081924:0.278330:0.073089:0.278330:0.000000
 es recto. Suponemos que la medida de la base :@0.081795:0.293765:0.419900:0.293765:0.419900:0.278052:0.081795:0.278052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es  , y que la medida de la altura :@0.438825:0.293765:0.674918:0.293765:0.674918:0.278052:0.438825:0.278052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.461265:0.293765:0.468720:0.293765:0.468720:0.278330:0.461265:0.278330:0.000000
 es  . El perímetro de esta región rectangular   es la suma de las medidas de sus :@0.093108:0.311415:0.674889:0.311415:0.674889:0.295703:0.093108:0.295703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.116929:0.311415:0.124402:0.311415:0.124402:0.295980:0.116929:0.295980:0.000000
R:@0.419323:0.311415:0.428269:0.311415:0.428269:0.295980:0.419323:0.295980:0.000000
lados, operación que se escribe  ( )   2(     ). El área del rectángulo se obtiene al :@0.073082:0.329070:0.674937:0.329066:0.674937:0.313353:0.073082:0.313357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p R:@0.306652:0.329070:0.329624:0.329070:0.329624:0.313634:0.306652:0.313634:0.000000:0.000000:0.000000
5:@0.336641:0.328511:0.351974:0.328511:0.351974:0.314795:0.336641:0.314795:0.000000
x:@0.367892:0.329066:0.375346:0.329066:0.375346:0.313630:0.367892:0.313630:0.000000
1:@0.377539:0.328511:0.392872:0.328511:0.392872:0.314795:0.377539:0.314795:0.000000
y:@0.395047:0.329066:0.402521:0.329066:0.402521:0.313630:0.395047:0.313630:0.000000
multiplicar las longitudes de la base y de su altura, procedimiento que se representa :@0.073086:0.346720:0.675095:0.346720:0.675095:0.331007:0.073086:0.331007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como  ( )    . Si en esta región rectangular trazamos la diagonal :@0.073086:0.364374:0.549985:0.364367:0.549985:0.348654:0.073086:0.348662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a R:@0.119196:0.364374:0.142132:0.364374:0.142132:0.348939:0.119196:0.348939:0.000000:0.000000:0.000000
5:@0.149093:0.363812:0.164426:0.363812:0.164426:0.350096:0.149093:0.350096:0.000000
xy:@0.166555:0.364367:0.181612:0.364367:0.181612:0.348931:0.166555:0.348931:0.000000:0.000000
, cuya medida :@0.570555:0.364367:0.674869:0.364367:0.674869:0.348654:0.570555:0.348654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se nota  , obtenemos dos triángulos rectángulos congruentes. Por el teorema de :@0.073081:0.382021:0.674505:0.382021:0.674505:0.366308:0.073081:0.366308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.131561:0.382021:0.141059:0.382021:0.141059:0.366586:0.131561:0.366586:0.000000
Pitágoras, tenemos          , o bien            .:@0.073081:0.399675:0.439720:0.399668:0.439720:0.383955:0.073081:0.383962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.214854:0.399675:0.224352:0.399675:0.224352:0.384240:0.214854:0.384240:0.000000
2:@0.224290:0.393604:0.229527:0.393604:0.229527:0.384443:0.224290:0.384443:0.000000
5 1:@0.231700:0.399113:0.279294:0.399113:0.279294:0.385397:0.231700:0.385397:0.000000:0.000000:0.000000
x:@0.249161:0.399668:0.256616:0.399668:0.256616:0.384232:0.249161:0.384232:0.000000
2:@0.256549:0.393604:0.261786:0.393604:0.261786:0.384443:0.256549:0.384443:0.000000
y:@0.281421:0.399668:0.288894:0.399668:0.288894:0.384232:0.281421:0.384232:0.000000
2:@0.288829:0.393604:0.294066:0.393604:0.294066:0.384443:0.288829:0.384443:0.000000
h:@0.351191:0.399668:0.360689:0.399668:0.360689:0.384232:0.351191:0.384232:0.000000
5:@0.364573:0.399113:0.379906:0.399113:0.379906:0.385397:0.364573:0.385397:0.000000
x:@0.391669:0.399668:0.399124:0.399668:0.399124:0.384232:0.391669:0.384232:0.000000
2:@0.399048:0.393604:0.404285:0.393604:0.404285:0.384443:0.399048:0.384443:0.000000
1:@0.406458:0.399113:0.421791:0.399113:0.421791:0.385397:0.406458:0.385397:0.000000
y:@0.423920:0.399668:0.431393:0.399668:0.431393:0.384232:0.423920:0.384232:0.000000
2:@0.431326:0.393604:0.436563:0.393604:0.436563:0.384443:0.431326:0.384443:0.000000
En este ejemplo sencillo, los datos  ,   representan números reales con los que :@0.073084:0.425185:0.674943:0.425185:0.674943:0.409472:0.073084:0.409472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.337854:0.425185:0.361526:0.425185:0.361526:0.409750:0.337854:0.409750:0.000000:0.000000:0.000000
podemos realizar cálculos para obtener el perímetro y el área de una superficie o :@0.073084:0.442839:0.675005:0.442839:0.675005:0.427127:0.073084:0.427127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcular raíces cuadradas, que, a su vez, son también números reales.:@0.073084:0.460493:0.568125:0.460493:0.568125:0.444781:0.073084:0.444781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.073084:0.486011:0.148867:0.486011:0.148867:0.469341:0.073084:0.469341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una fórmula muy útil en el cálculo del flujo del agua que se infiltra en el suelo :@0.073084:0.511528:0.674481:0.511528:0.674481:0.495816:0.073084:0.495816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(medio poroso) es la denominada ley de Darcy, que se escribe de la siguiente :@0.073084:0.529183:0.674834:0.529183:0.674834:0.513470:0.073084:0.513470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
manera::@0.073084:0.546837:0.131859:0.546837:0.131859:0.531124:0.073084:0.531124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.285927:0.572354:0.295186:0.572354:0.295186:0.556919:0.285927:0.556919:0.000000
     :@0.295113:0.572354:0.329792:0.572354:0.329792:0.556642:0.295113:0.556642:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.299070:0.571800:0.314403:0.571800:0.314403:0.558084:0.299070:0.558084:0.000000
k:@0.318269:0.572354:0.325834:0.572354:0.325834:0.556919:0.318269:0.556919:0.000000
p:@0.336373:0.562663:0.346053:0.562663:0.346053:0.546526:0.336373:0.546526:0.000000
2:@0.346052:0.565979:0.351527:0.565979:0.351527:0.556402:0.346052:0.556402:0.000000
 – :@0.351528:0.562663:0.369578:0.562663:0.369578:0.546236:0.351528:0.546236:0.000000:0.000000:0.000000
p:@0.369578:0.562663:0.379258:0.562663:0.379258:0.546526:0.369578:0.546526:0.000000
1:@0.379257:0.565979:0.384732:0.565979:0.384732:0.556402:0.379257:0.556402:0.000000
h:@0.336122:0.581574:0.346052:0.581574:0.346052:0.565437:0.336122:0.565437:0.000000
2:@0.346052:0.584890:0.351527:0.584890:0.351527:0.575313:0.346052:0.575313:0.000000
 – :@0.351528:0.581574:0.369578:0.581574:0.369578:0.565147:0.351528:0.565147:0.000000:0.000000:0.000000
h:@0.369578:0.581574:0.379508:0.581574:0.379508:0.565437:0.369578:0.565437:0.000000
1:@0.379507:0.584890:0.384982:0.584890:0.384982:0.575313:0.379507:0.575313:0.000000
,       .:@0.391304:0.572319:0.457916:0.572319:0.457916:0.556606:0.391304:0.556606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.402330:0.572319:0.411828:0.572319:0.411828:0.556884:0.402330:0.556884:0.000000
2:@0.411759:0.575491:0.416996:0.575491:0.416996:0.566331:0.411759:0.566331:0.000000
Þ:@0.420906:0.571764:0.436239:0.571764:0.436239:0.558049:0.420906:0.558049:0.000000
h:@0.440105:0.572319:0.449603:0.572319:0.449603:0.556884:0.440105:0.556884:0.000000
1:@0.449523:0.575491:0.454760:0.575491:0.454760:0.566331:0.449523:0.566331:0.000000
Así, en este enunciado,   y   representan las presiones en las alturas   y  , donde :@0.073094:0.600693:0.674821:0.600691:0.674821:0.584978:0.073094:0.584981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.241024:0.600693:0.250283:0.600693:0.250283:0.585258:0.241024:0.585258:0.000000
1:@0.250212:0.603863:0.255449:0.603863:0.255449:0.594703:0.250212:0.594703:0.000000
p:@0.270606:0.600691:0.279865:0.600691:0.279865:0.585255:0.270606:0.585255:0.000000
2:@0.279806:0.603863:0.285043:0.603863:0.285043:0.594703:0.279806:0.594703:0.000000
h:@0.571303:0.600691:0.580802:0.600691:0.580802:0.585255:0.571303:0.585255:0.000000
1:@0.580728:0.603863:0.585965:0.603863:0.585965:0.594703:0.580728:0.594703:0.000000
h:@0.601122:0.600691:0.610620:0.600691:0.610620:0.585255:0.601122:0.585255:0.000000
2:@0.610563:0.603863:0.615800:0.603863:0.615800:0.594703:0.610563:0.594703:0.000000
k:@0.073088:0.618345:0.080653:0.618345:0.080653:0.602910:0.073088:0.602910:0.000000
   0 se llama :@0.080616:0.618345:0.181378:0.618345:0.181378:0.602632:0.080616:0.602632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.084997:0.617790:0.100330:0.617790:0.100330:0.604075:0.084997:0.604075:0.000000
constante de permeabilidad hidráulica del suelo:@0.181801:0.618345:0.549784:0.618345:0.549784:0.601675:0.181801:0.601675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. En esta fórmula :@0.549725:0.618345:0.674688:0.618345:0.674688:0.602632:0.549725:0.602632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observamos que se deben realizar dos restas, una división y una multiplicación de :@0.073088:0.635999:0.675209:0.635999:0.675209:0.620287:0.073088:0.620287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales. Este es otro ejemplo en el que se deben realizar cálculos con :@0.073088:0.653653:0.674985:0.653653:0.674985:0.637941:0.073088:0.637941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales.:@0.073088:0.671308:0.186806:0.671308:0.186806:0.655595:0.073088:0.655595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.073088:0.696825:0.148870:0.696825:0.148870:0.680156:0.073088:0.680156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La velocidad específica v  de una turbina está definida como::@0.073088:0.722343:0.514168:0.722319:0.514168:0.706606:0.073088:0.706630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e:@0.251519:0.725491:0.256724:0.725491:0.256724:0.716330:0.251519:0.716330:0.000000
v:@0.328741:0.757835:0.336472:0.757835:0.336472:0.742400:0.328741:0.742400:0.000000
e:@0.336415:0.761010:0.340955:0.761010:0.340955:0.752011:0.336415:0.752011:0.000000
   :@0.340917:0.757838:0.362408:0.757838:0.362408:0.742125:0.340917:0.742125:0.000000:0.000000:0.000000
5:@0.343135:0.757283:0.358469:0.757283:0.358469:0.743567:0.343135:0.743567:0.000000
w p:@0.365686:0.747595:0.398352:0.747595:0.398352:0.731458:0.365686:0.731458:0.000000:0.000000:0.000000
0:@0.378983:0.750911:0.384458:0.750911:0.384458:0.741334:0.378983:0.741334:0.000000
 :@0.384458:0.747595:0.388673:0.747595:0.388673:0.731168:0.384458:0.731168:0.000000
1:@0.399805:0.731222:0.405439:0.731222:0.405439:0.721366:0.399805:0.721366:0.000000
2:@0.399805:0.741052:0.405439:0.741052:0.405439:0.731196:0.399805:0.731196:0.000000
h:@0.377055:0.776592:0.386985:0.776592:0.386985:0.760456:0.377055:0.760456:0.000000
5:@0.388436:0.760219:0.394070:0.760219:0.394070:0.750363:0.388436:0.750363:0.000000
4:@0.388436:0.770049:0.394070:0.770049:0.394070:0.760193:0.388436:0.760193:0.000000
. :@0.411898:0.757838:0.419132:0.757838:0.419132:0.742125:0.411898:0.742125:0.000000:0.000000
En este ejemplo,   es la velocidad angular de operación de la turbina (medida en :@0.073094:0.791565:0.675202:0.791570:0.675202:0.775857:0.073094:0.775852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
w:@0.197141:0.791565:0.209860:0.791565:0.209860:0.776130:0.197141:0.776130:0.000000
0:@0.209797:0.794743:0.215034:0.794743:0.215034:0.785582:0.209797:0.785582:0.000000
revoluciones:@0.073086:0.809224:0.169997:0.809224:0.169997:0.792555:0.073086:0.792555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 por minuto :@0.170000:0.809224:0.261416:0.809224:0.261416:0.793512:0.170000:0.793512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rpm p:@0.261797:0.809224:0.312362:0.809224:0.312362:0.793789:0.261797:0.793789:0.000000:0.000000:0.000000:0.000000:0.000000
),   es la potencia de salida de la turbina (medida en :@0.290789:0.809224:0.674556:0.809224:0.674556:0.793512:0.290789:0.793512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
kilovatios :@0.073086:0.826879:0.144880:0.826879:0.144880:0.811166:0.073086:0.811166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
kw:@0.144745:0.826879:0.165233:0.826879:0.165233:0.811443:0.144745:0.811443:0.000000:0.000000
) y   es la altura de la cabeza (medida en metros  ). :@0.165177:0.826879:0.542250:0.826879:0.542250:0.811166:0.165177:0.811166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.185886:0.826879:0.195384:0.826879:0.195384:0.811443:0.185886:0.811443:0.000000
m:@0.515670:0.826879:0.530285:0.826879:0.530285:0.811443:0.515670:0.811443:0.000000
Para el cálculo de  , debemos calcular dos potencias con exponentes racionales,  :@0.073068:0.859663:0.674797:0.859650:0.674797:0.843938:0.073068:0.843950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.206502:0.859663:0.214233:0.859663:0.214233:0.844228:0.206502:0.844228:0.000000
e:@0.214281:0.862823:0.218821:0.862823:0.218821:0.853824:0.214281:0.853824:0.000000
p h:@0.073101:0.892435:0.108602:0.892430:0.108602:0.876994:0.073101:0.876999:0.000000:0.000000:0.000000
1:@0.083853:0.881043:0.089488:0.881043:0.089488:0.871187:0.083853:0.871187:0.000000
2:@0.083853:0.890873:0.089488:0.890873:0.089488:0.881017:0.083853:0.881017:0.000000
, :@0.091005:0.892430:0.098313:0.892430:0.098313:0.876717:0.091005:0.876717:0.000000:0.000000
5:@0.110104:0.881043:0.115739:0.881043:0.115739:0.871187:0.110104:0.871187:0.000000
4:@0.110104:0.890873:0.115739:0.890873:0.115739:0.881017:0.110104:0.881017:0.000000
, realizar una multiplicación :@0.117256:0.892430:0.324717:0.892430:0.324717:0.876717:0.117256:0.876717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
w p:@0.325406:0.892430:0.352722:0.892430:0.352722:0.876994:0.325406:0.876994:0.000000:0.000000:0.000000
0:@0.338187:0.895602:0.343424:0.895602:0.343424:0.886442:0.338187:0.886442:0.000000
1:@0.354227:0.881043:0.359861:0.881043:0.359861:0.871187:0.354227:0.871187:0.000000
2:@0.354227:0.890873:0.359861:0.890873:0.359861:0.881017:0.354227:0.881017:0.000000
 y una división de números reales :@0.361379:0.892430:0.615403:0.892430:0.615403:0.876717:0.361379:0.876717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
w p:@0.621202:0.882663:0.653868:0.882663:0.653868:0.866526:0.621202:0.866526:0.000000:0.000000:0.000000
0:@0.634499:0.885979:0.639974:0.885979:0.639974:0.876402:0.634499:0.876402:0.000000
 :@0.639974:0.882663:0.644189:0.882663:0.644189:0.866236:0.639974:0.866236:0.000000
1:@0.655319:0.866289:0.660954:0.866289:0.660954:0.856433:0.655319:0.856433:0.000000
2:@0.655319:0.876119:0.660954:0.876119:0.660954:0.866263:0.655319:0.866263:0.000000
h:@0.632569:0.911660:0.642499:0.911660:0.642499:0.895523:0.632569:0.895523:0.000000
5:@0.643952:0.895287:0.649586:0.895287:0.649586:0.885431:0.643952:0.885431:0.000000
4:@0.643952:0.905117:0.649586:0.905117:0.649586:0.895261:0.643952:0.895261:0.000000
. :@0.667560:0.892430:0.674794:0.892430:0.674794:0.876717:0.667560:0.876717:0.000000:0.000000
 :@0.670763:0.892430:0.674794:0.892430:0.674794:0.876717:0.670763:0.876717:0.000000
El resultado es un número real.:@0.073098:0.925214:0.295559:0.925214:0.295559:0.909501:0.073098:0.909501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.498565:0.173403:0.507101:0.173403:0.507101:0.160072:0.498565:0.160072:0.000000
D:@0.669094:0.160300:0.679045:0.160300:0.679045:0.146969:0.669094:0.146969:0.000000
C:@0.669793:0.228078:0.678346:0.228078:0.678346:0.214748:0.669793:0.214748:0.000000
B:@0.506132:0.228078:0.513762:0.228078:0.513762:0.214748:0.506132:0.214748:0.000000
Figura 1.1.:@0.652685:0.247589:0.706341:0.247589:0.706341:0.236161:0.652685:0.236161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cátedra de :@0.739070:0.156332:0.828392:0.156332:0.828392:0.139385:0.739070:0.139385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emprendimiento:@0.739070:0.168940:0.872790:0.168940:0.872790:0.151993:0.739070:0.151993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los números reales :@0.749032:0.193470:0.879170:0.193470:0.879170:0.179186:0.749032:0.179186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y las estructuras :@0.749032:0.208599:0.857528:0.208599:0.857528:0.194315:0.749032:0.194315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algebraicas juegan :@0.749032:0.223728:0.876410:0.223728:0.876410:0.209444:0.749032:0.209444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un papel importante :@0.749032:0.238857:0.890033:0.238857:0.890033:0.224573:0.749032:0.224573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la creación y el :@0.749032:0.253986:0.870162:0.253986:0.870162:0.239702:0.749032:0.239702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mantenimiento de las :@0.749032:0.269115:0.897532:0.269115:0.897532:0.254831:0.749032:0.254831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
empresas. Permiten :@0.749032:0.284244:0.882418:0.284244:0.882418:0.269960:0.749032:0.269960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a los emprendedores :@0.749032:0.299373:0.892329:0.299373:0.892329:0.285088:0.749032:0.285088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
construir modelos :@0.749032:0.314502:0.872813:0.314502:0.872813:0.300217:0.749032:0.300217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financieros que :@0.749032:0.329631:0.853880:0.329631:0.853880:0.315346:0.749032:0.315346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
describen cómo :@0.749032:0.344760:0.860255:0.344760:0.860255:0.330475:0.749032:0.330475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funcionan los mercados, :@0.749032:0.359888:0.913479:0.359888:0.913479:0.345604:0.749032:0.345604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cómo interactúan los :@0.749032:0.375017:0.892863:0.375017:0.892863:0.360733:0.749032:0.360733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agentes económicos y :@0.749032:0.390146:0.901489:0.390146:0.901489:0.375862:0.749032:0.375862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cómo se comportan las :@0.749032:0.405275:0.908382:0.405275:0.908382:0.390991:0.749032:0.390991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
variables económicas :@0.749032:0.420404:0.894393:0.420404:0.894393:0.406120:0.749032:0.406120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para prever ingresos, :@0.749032:0.435533:0.889103:0.435533:0.889103:0.421249:0.749032:0.421249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
costos y ganancias. :@0.749032:0.450662:0.878756:0.450662:0.878756:0.436378:0.749032:0.436378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estos cálculos precisos :@0.749032:0.465791:0.900895:0.465791:0.900895:0.451507:0.749032:0.451507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son esenciales para :@0.749032:0.480920:0.880209:0.480920:0.880209:0.466636:0.749032:0.466636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
analizar la viabilidad :@0.749032:0.496049:0.884493:0.496049:0.884493:0.481765:0.749032:0.481765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
económica y operativa :@0.749032:0.511178:0.903285:0.511178:0.903285:0.496894:0.749032:0.496894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un negocio. Además, :@0.749032:0.526307:0.912018:0.526307:0.912018:0.512023:0.749032:0.512023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las técnicas algebraicas :@0.749032:0.541436:0.905219:0.541436:0.905219:0.527152:0.749032:0.527152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ayudan a optimizar :@0.749032:0.556565:0.879181:0.556565:0.879181:0.542280:0.749032:0.542280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recursos, maximizar :@0.749032:0.571694:0.881869:0.571694:0.881869:0.557409:0.749032:0.557409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
beneficios y minimizar :@0.749032:0.586823:0.900557:0.586823:0.900557:0.572538:0.749032:0.572538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
costos. En la evaluación :@0.749032:0.601952:0.907800:0.601952:0.907800:0.587667:0.749032:0.587667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de proyectos, los :@0.749032:0.617080:0.863587:0.617080:0.863587:0.602796:0.749032:0.602796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales se :@0.749032:0.632209:0.871243:0.632209:0.871243:0.617925:0.749032:0.617925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilizan para calcular :@0.749032:0.647338:0.886936:0.647338:0.886936:0.633054:0.749032:0.633054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
métricas clave como :@0.749032:0.662467:0.888691:0.662467:0.888691:0.648183:0.749032:0.648183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el Valor Actual Neto :@0.749032:0.677596:0.881732:0.677596:0.881732:0.663312:0.749032:0.663312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y la Tasa Interna de :@0.749032:0.692725:0.876815:0.692725:0.876815:0.678441:0.749032:0.678441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Retorno, que facilitan :@0.749032:0.707854:0.892550:0.707854:0.892550:0.693570:0.749032:0.693570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la comparación de :@0.749032:0.722983:0.875590:0.722983:0.875590:0.708699:0.749032:0.708699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
oportunidades de :@0.749032:0.738112:0.871668:0.738112:0.871668:0.723828:0.749032:0.723828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inversión que garantizan :@0.749032:0.753241:0.915138:0.753241:0.915138:0.738957:0.749032:0.738957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una planificación :@0.749032:0.768370:0.865366:0.768370:0.865366:0.754086:0.749032:0.754086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financiera precisa y :@0.749032:0.783499:0.878045:0.783499:0.878045:0.769215:0.749032:0.769215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
efectiva.:@0.749032:0.798628:0.803236:0.798628:0.803236:0.784344:0.749032:0.784344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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