13:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000
Ejemplo:@0.108233:0.092650:0.165663:0.092650:0.165663:0.075863:0.108233:0.075863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.108233:0.109625:0.146031:0.109625:0.146031:0.093127:0.108233:0.093127:0.000000:0.000000:0.000000:0.000000:0.000000
A, B, C, D:@0.145839:0.109740:0.208952:0.109740:0.208952:0.093272:0.145839:0.093272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los vértices de un :@0.208952:0.109625:0.339568:0.109625:0.339568:0.093127:0.208952:0.093127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectángulo, tales que los lados :@0.108233:0.126975:0.339547:0.126975:0.339547:0.110478:0.108233:0.110478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.128354:0.144326:0.146676:0.144326:0.146676:0.127829:0.128354:0.127829:0.000000:0.000000:0.000000
 son paralelos. De ma-:@0.169858:0.144326:0.335403:0.144326:0.335403:0.127829:0.169858:0.127829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nera similar, los lados :@0.108229:0.161677:0.268899:0.161677:0.268899:0.145179:0.108229:0.145179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.291442:0.161677:0.310264:0.161677:0.310264:0.145179:0.291442:0.145179:0.000000:0.000000:0.000000
 :@0.335377:0.161677:0.339519:0.161677:0.339519:0.145179:0.335377:0.145179:0.000000
son paralelos, como se muestra :@0.108240:0.179028:0.339552:0.179028:0.339552:0.162530:0.108240:0.162530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la figura 1.1.:@0.108240:0.196378:0.212754:0.196378:0.212754:0.179881:0.108240:0.179881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Supongamos que el ángulo en el vértice   es recto, entonces la recta :@0.108240:0.225051:0.600001:0.225051:0.600001:0.208553:0.108240:0.208553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.396483:0.225166:0.407753:0.225166:0.407753:0.208698:0.396483:0.208698:0.000000
 es perpendicular a la recta :@0.128354:0.242396:0.328231:0.242396:0.328231:0.225898:0.128354:0.225898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y la recta :@0.351870:0.242396:0.427370:0.242396:0.427370:0.225898:0.351870:0.225898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es también perpen-:@0.448715:0.242396:0.595767:0.242396:0.595767:0.225898:0.448715:0.225898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dicular a la recta :@0.108241:0.259746:0.234659:0.259746:0.234659:0.243249:0.108241:0.243249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, con lo que el ángulo en el vértice   es recto. :@0.256564:0.259746:0.599967:0.259746:0.599967:0.243249:0.256564:0.243249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.520055:0.259862:0.529244:0.259862:0.529244:0.243393:0.520055:0.243393:0.000000
Suponemos que la medida de la base :@0.108241:0.277097:0.381397:0.277097:0.381397:0.260600:0.108241:0.260600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es   y que la medida de la :@0.401948:0.277097:0.599877:0.277097:0.599877:0.260600:0.401948:0.260600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x,:@0.425991:0.277213:0.436433:0.277213:0.436433:0.260744:0.425991:0.260744:0.000000:0.000000
altura :@0.108230:0.294448:0.152906:0.294448:0.152906:0.277950:0.108230:0.277950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es  . El perímetro de esta región rectangular   es la suma de :@0.172845:0.294448:0.599817:0.294448:0.599817:0.277950:0.172845:0.277950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.195116:0.294564:0.202803:0.294564:0.202803:0.278095:0.195116:0.278095:0.000000
R:@0.488061:0.294564:0.497636:0.294564:0.497636:0.278095:0.488061:0.278095:0.000000
las medidas de sus lados, operación que se escribe  ( ) = 2(  +  ).  :@0.108230:0.311799:0.599898:0.311799:0.599898:0.295301:0.108230:0.295301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p R:@0.482164:0.311914:0.506959:0.311914:0.506959:0.295446:0.482164:0.295446:0.000000:0.000000:0.000000
x:@0.549612:0.311914:0.557087:0.311914:0.557087:0.295446:0.549612:0.295446:0.000000
y:@0.579338:0.311914:0.587025:0.311914:0.587025:0.295446:0.579338:0.295446:0.000000
El área del rectángulo se obtiene multiplicando las longitudes de la :@0.108230:0.329149:0.599933:0.329149:0.599933:0.312652:0.108230:0.312652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
base y de su altura, procedimiento que se representa como  ( ) =  . :@0.108230:0.346500:0.599898:0.346500:0.599898:0.330003:0.108230:0.330003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a R:@0.528557:0.346616:0.553063:0.346616:0.553063:0.330147:0.528557:0.330147:0.000000:0.000000:0.000000
xy:@0.577607:0.346616:0.592961:0.346616:0.592961:0.330147:0.577607:0.330147:0.000000:0.000000
Si en esta región rectangular trazamos la diagonal :@0.108230:0.363851:0.472060:0.363851:0.472060:0.347353:0.108230:0.347353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, cuya medida :@0.494855:0.363851:0.599918:0.363851:0.599918:0.347353:0.494855:0.347353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se nota   obtenemos dos triángulos rectángulos congruentes. Por el :@0.108240:0.381202:0.599941:0.381202:0.599941:0.364704:0.108240:0.364704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h,:@0.165265:0.381317:0.177209:0.381317:0.177209:0.364849:0.165265:0.364849:0.000000:0.000000
teorema de Pitágoras, tenemos   =   +  , o bien   =     +   .:@0.108240:0.398552:0.553262:0.398552:0.553262:0.382055:0.108240:0.382055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.332137:0.398668:0.341538:0.398668:0.341538:0.382199:0.332137:0.382199:0.000000
2:@0.341532:0.392201:0.346485:0.392201:0.346485:0.382583:0.341532:0.382583:0.000000
x:@0.365578:0.398668:0.373052:0.398668:0.373052:0.382199:0.365578:0.382199:0.000000
2:@0.373052:0.392201:0.378005:0.392201:0.378005:0.382583:0.373052:0.382583:0.000000
y:@0.397095:0.398668:0.404782:0.398668:0.404782:0.382199:0.397095:0.382199:0.000000
2:@0.404782:0.392201:0.409735:0.392201:0.409735:0.382583:0.404782:0.382583:0.000000
h:@0.465430:0.398668:0.474831:0.398668:0.474831:0.382199:0.465430:0.382199:0.000000
x:@0.502207:0.398668:0.509682:0.398668:0.509682:0.382199:0.502207:0.382199:0.000000
2:@0.509681:0.392201:0.514634:0.392201:0.514634:0.382583:0.509681:0.382583:0.000000
y:@0.533726:0.398668:0.541413:0.398668:0.541413:0.382199:0.533726:0.382199:0.000000
2:@0.541413:0.392201:0.546366:0.392201:0.546366:0.382583:0.541413:0.382583:0.000000
En este ejemplo sencillo, los datos  ,   representan números reales :@0.108235:0.425967:0.599940:0.425967:0.599940:0.409469:0.108235:0.409469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.365193:0.426082:0.389507:0.426082:0.389507:0.409614:0.365193:0.409614:0.000000:0.000000:0.000000
con los que podemos realizar cálculos para obtener el perímetro y el :@0.108235:0.443317:0.599994:0.443317:0.599994:0.426820:0.108235:0.426820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
área de una superficie o calcular raíces cuadradas, que, a su vez, son :@0.108235:0.460668:0.599842:0.460668:0.599842:0.444170:0.108235:0.444170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
también números reales.:@0.108235:0.478019:0.282294:0.478019:0.282294:0.461521:0.108235:0.461521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo: :@0.108235:0.500777:0.173332:0.500777:0.173332:0.483990:0.108235:0.483990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una fórmula muy útil en el cálculo del flujo del agua que se infiltra en :@0.108235:0.517752:0.599882:0.517752:0.599882:0.501254:0.108235:0.501254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el suelo (medio poroso) es la denominada ley de Darcy, que se escribe :@0.108235:0.535103:0.599840:0.535103:0.599840:0.518605:0.108235:0.518605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la siguiente manera::@0.108235:0.552454:0.269926:0.552454:0.269926:0.535956:0.108235:0.535956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q k:@0.270217:0.583078:0.306725:0.583078:0.306725:0.566609:0.270217:0.566609:0.000000:0.000000:0.000000
 =   :@0.279387:0.582962:0.310867:0.582962:0.310867:0.566464:0.279387:0.566464:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.318126:0.571761:0.327392:0.571761:0.327392:0.555292:0.318126:0.555292:0.000000
2:@0.327391:0.574923:0.332344:0.574923:0.332344:0.565305:0.327391:0.565305:0.000000
 – :@0.332345:0.571645:0.351129:0.571645:0.351129:0.555147:0.332345:0.555147:0.000000:0.000000:0.000000
p:@0.351129:0.571761:0.360395:0.571761:0.360395:0.555292:0.351129:0.555292:0.000000
1:@0.360395:0.574923:0.365348:0.574923:0.365348:0.565305:0.360395:0.565305:0.000000
h:@0.317990:0.590620:0.327391:0.590620:0.327391:0.574152:0.317990:0.574152:0.000000
2:@0.327391:0.593783:0.332344:0.593783:0.332344:0.584164:0.327391:0.584164:0.000000
 – :@0.332345:0.590505:0.351129:0.590505:0.351129:0.574007:0.332345:0.574007:0.000000:0.000000:0.000000
h:@0.351129:0.590620:0.360530:0.590620:0.360530:0.574152:0.351129:0.574152:0.000000
1:@0.360529:0.593783:0.365482:0.593783:0.365482:0.584164:0.360529:0.584164:0.000000
,  :@0.372603:0.582961:0.383642:0.582961:0.383642:0.566463:0.372603:0.566463:0.000000:0.000000:0.000000
h  ≠ h:@0.383642:0.583076:0.426320:0.583076:0.426320:0.566608:0.383642:0.566608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.393044:0.586306:0.397750:0.586306:0.397750:0.576705:0.393044:0.576705:0.000000
1:@0.426319:0.586306:0.431025:0.586306:0.431025:0.576705:0.426319:0.576705:0.000000
.:@0.431025:0.582961:0.433780:0.582961:0.433780:0.566463:0.431025:0.566463:0.000000
 :@0.108236:0.594282:0.112378:0.594282:0.112378:0.577784:0.108236:0.577784:0.000000
Así, en este enunciado,   y   representan las presiones en las alturas :@0.108236:0.611633:0.599947:0.611627:0.599947:0.595130:0.108236:0.595135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.274032:0.611749:0.283299:0.611749:0.283299:0.595280:0.274032:0.595280:0.000000
1:@0.283272:0.614905:0.288225:0.614905:0.288225:0.605287:0.283272:0.605287:0.000000
p:@0.304486:0.611743:0.313752:0.611743:0.313752:0.595274:0.304486:0.595274:0.000000
2:@0.313740:0.614905:0.318693:0.614905:0.318693:0.605287:0.313740:0.605287:0.000000
h:@0.108240:0.629094:0.117641:0.629094:0.117641:0.612625:0.108240:0.612625:0.000000
1:@0.117634:0.632256:0.122588:0.632256:0.122588:0.622638:0.117634:0.622638:0.000000
 y  , donde   > 0 se llama constante de :@0.122588:0.628978:0.413420:0.628978:0.413420:0.612480:0.122588:0.612480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.139696:0.629094:0.149097:0.629094:0.149097:0.612625:0.139696:0.612625:0.000000
2:@0.149101:0.632256:0.154054:0.632256:0.154054:0.622638:0.149101:0.622638:0.000000
k:@0.212987:0.629094:0.221232:0.629094:0.221232:0.612625:0.212987:0.612625:0.000000
permeabilidad:@0.413921:0.629195:0.521227:0.629195:0.521227:0.612480:0.413921:0.612480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 hidráulica :@0.521250:0.628978:0.599910:0.628978:0.599910:0.612480:0.521250:0.612480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del suelo. En esta fórmula observamos que se deben realizar dos res-:@0.108241:0.646329:0.595768:0.646329:0.595768:0.629831:0.108241:0.629831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tas, una división y una multiplicación de números reales. Este es otro :@0.108241:0.663680:0.599983:0.663680:0.599983:0.647182:0.108241:0.647182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo en el que se deben realizar cálculos con números reales.:@0.108241:0.681030:0.562451:0.681030:0.562451:0.664533:0.108241:0.664533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo: :@0.108241:0.707562:0.173339:0.707562:0.173339:0.690776:0.108241:0.690776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La velocidad específica   de una turbina está definida como::@0.108241:0.724537:0.539393:0.724533:0.539393:0.708035:0.108241:0.708040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.274728:0.724653:0.282511:0.724653:0.282511:0.708184:0.274728:0.708184:0.000000
e:@0.282580:0.727878:0.286904:0.727878:0.286904:0.718277:0.282580:0.718277:0.000000
v:@0.307190:0.769601:0.314974:0.769601:0.314974:0.753133:0.307190:0.753133:0.000000
e:@0.315055:0.772834:0.319379:0.772834:0.319379:0.763233:0.315055:0.763233:0.000000
 = :@0.319379:0.769489:0.338470:0.769489:0.338470:0.752991:0.319379:0.752991:0.000000:0.000000:0.000000
w p:@0.344628:0.759830:0.375204:0.759830:0.375204:0.743362:0.344628:0.743362:0.000000:0.000000:0.000000
0:@0.356842:0.762993:0.361795:0.762993:0.361795:0.753375:0.356842:0.753375:0.000000
 :@0.361796:0.759715:0.365938:0.759715:0.365938:0.743217:0.361796:0.743217:0.000000
1:@0.376928:0.743619:0.382026:0.743619:0.382026:0.733720:0.376928:0.733720:0.000000
2:@0.376928:0.753422:0.382026:0.753422:0.382026:0.743523:0.376928:0.743523:0.000000
h:@0.355215:0.788748:0.364617:0.788748:0.364617:0.772280:0.355215:0.772280:0.000000
5:@0.366342:0.772537:0.371440:0.772537:0.371440:0.762638:0.366342:0.762638:0.000000
4:@0.366342:0.782340:0.371440:0.782340:0.371440:0.772441:0.366342:0.772441:0.000000
 :@0.389910:0.787720:0.394052:0.787720:0.394052:0.771222:0.389910:0.771222:0.000000
. :@0.394052:0.769487:0.400949:0.769487:0.400949:0.752989:0.394052:0.752989:0.000000:0.000000
En este ejemplo,   es la velocidad angular de operación de la turbina :@0.108232:0.806704:0.599873:0.806705:0.599873:0.790207:0.108232:0.790207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
w:@0.226078:0.806820:0.238292:0.806820:0.238292:0.790351:0.226078:0.790351:0.000000
0:@0.238304:0.809983:0.243257:0.809983:0.243257:0.800365:0.238304:0.800365:0.000000
(medida en :@0.108227:0.824056:0.193936:0.824056:0.193936:0.807558:0.108227:0.807558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
revoluciones:@0.193570:0.824273:0.287142:0.824273:0.287142:0.807558:0.193570:0.807558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 por minuto :@0.287144:0.824056:0.377421:0.824056:0.377421:0.807558:0.287144:0.807558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r. p. m. p:@0.377055:0.824171:0.443077:0.824171:0.443077:0.807703:0.377055:0.807703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
),   es la potencia de sali-:@0.421347:0.824056:0.595771:0.824056:0.595771:0.807558:0.421347:0.807558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
da de la turbina (medida en kilovatios:@0.108227:0.841407:0.373988:0.841407:0.373988:0.824909:0.108227:0.824909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 kw:@0.373988:0.841522:0.397876:0.841522:0.397876:0.825053:0.373988:0.825053:0.000000:0.000000:0.000000
) y   es la altura de la cabeza :@0.397919:0.841407:0.599855:0.841407:0.599855:0.824909:0.397919:0.824909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.419091:0.841522:0.428493:0.841522:0.428493:0.825053:0.419091:0.825053:0.000000
(medida en metros  ). :@0.108227:0.858757:0.276006:0.858757:0.276006:0.842260:0.108227:0.842260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.248361:0.858873:0.263157:0.858873:0.263157:0.842404:0.248361:0.842404:0.000000
Para el cálculo de  , debemos calcular dos potencias con exponen-:@0.108227:0.886417:0.595800:0.886418:0.595800:0.869920:0.108227:0.869920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.237312:0.886533:0.245095:0.886533:0.245095:0.870064:0.237312:0.870064:0.000000
e  :@0.245154:0.889763:0.254611:0.889763:0.254611:0.880162:0.245154:0.880162:0.000000:0.000000:0.000000
tes racionales,  ,  , realizar una multiplicación :@0.108239:0.914078:0.455241:0.914079:0.455241:0.897581:0.108239:0.897580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p h:@0.211751:0.914194:0.246491:0.914195:0.246491:0.897726:0.211751:0.897725:0.000000:0.000000:0.000000
1:@0.222734:0.897983:0.227832:0.897983:0.227832:0.888084:0.222734:0.888084:0.000000
2:@0.222734:0.907786:0.227832:0.907786:0.227832:0.897887:0.222734:0.897887:0.000000
5:@0.248224:0.897983:0.253322:0.897983:0.253322:0.888084:0.248224:0.888084:0.000000
4:@0.248224:0.907786:0.253322:0.907786:0.253322:0.897887:0.248224:0.897887:0.000000
w p:@0.455896:0.914195:0.483757:0.914195:0.483757:0.897726:0.455896:0.897726:0.000000:0.000000:0.000000
0:@0.468100:0.917424:0.472806:0.917424:0.472806:0.907822:0.468100:0.907822:0.000000
1:@0.485482:0.897983:0.490580:0.897983:0.490580:0.888084:0.485482:0.888084:0.000000
2:@0.485482:0.907786:0.490580:0.907786:0.490580:0.897887:0.485482:0.897887:0.000000
 y una división :@0.492304:0.914079:0.599910:0.914079:0.599910:0.897581:0.492304:0.897581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de números reales :@0.108231:0.949287:0.241275:0.949287:0.241275:0.932789:0.108231:0.932789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
w p:@0.247434:0.938996:0.278010:0.938996:0.278010:0.922527:0.247434:0.922527:0.000000:0.000000:0.000000
0:@0.259648:0.942158:0.264601:0.942158:0.264601:0.932540:0.259648:0.932540:0.000000
 :@0.264602:0.938880:0.268744:0.938880:0.268744:0.922383:0.264602:0.922383:0.000000
1:@0.279734:0.922784:0.284832:0.922784:0.284832:0.912885:0.279734:0.912885:0.000000
2:@0.279734:0.932587:0.284832:0.932587:0.284832:0.922688:0.279734:0.922688:0.000000
h:@0.258021:0.967914:0.267423:0.967914:0.267423:0.951445:0.258021:0.951445:0.000000
5:@0.269148:0.951702:0.274246:0.951702:0.274246:0.941803:0.269148:0.941803:0.000000
4:@0.269148:0.961505:0.274246:0.961505:0.274246:0.951606:0.269148:0.951606:0.000000
. El resultado es un número real.:@0.292715:0.949283:0.517345:0.949283:0.517345:0.932786:0.292715:0.932786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.388274:0.128120:0.397585:0.128120:0.397585:0.114515:0.388274:0.114515:0.000000
D:@0.559549:0.115052:0.569162:0.115052:0.569162:0.101448:0.559549:0.101448:0.000000
C:@0.560202:0.182646:0.568493:0.182646:0.568493:0.169041:0.560202:0.169041:0.000000
B:@0.396248:0.182646:0.403839:0.182646:0.403839:0.169041:0.396248:0.169041:0.000000
p:@0.532836:0.201234:0.544316:0.201234:0.544316:0.191209:0.532836:0.191209:0.000000
 Figura 1.1.:@0.544316:0.201941:0.595766:0.201941:0.595766:0.190465:0.544316:0.190465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y economía:@0.685042:0.132780:0.843577:0.132780:0.843577:0.117308:0.685042:0.117308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El aporte de la matemática en :@0.638498:0.155329:0.835452:0.155329:0.835452:0.140266:0.638498:0.140266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el desarrollo de un país es múl-:@0.638498:0.171171:0.838898:0.171171:0.838898:0.156108:0.638498:0.156108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiple, pues esta ciencia propor-:@0.638498:0.187013:0.836351:0.187013:0.836351:0.171950:0.638498:0.171950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciona soluciones matemáticas  :@0.638498:0.202855:0.840273:0.202855:0.840273:0.187792:0.638498:0.187792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a problemas en la industria  :@0.638498:0.218697:0.820395:0.218697:0.820395:0.203634:0.638498:0.203634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y en las empresas públicas  :@0.638498:0.234539:0.815628:0.234539:0.815628:0.219476:0.638498:0.219476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o privadas, como, por ejemplo, :@0.638498:0.250381:0.841572:0.250381:0.841572:0.235318:0.638498:0.235318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la optimización de procesos :@0.638498:0.266223:0.843647:0.266223:0.843647:0.251160:0.638498:0.251160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o en la resolución de problemas :@0.638498:0.282065:0.849100:0.282065:0.849100:0.267002:0.638498:0.267002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
técnicos. Esto contribuye al de-:@0.638498:0.297907:0.840395:0.297907:0.840395:0.282844:0.638498:0.282844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sarrollo del país con autonomía :@0.638498:0.313749:0.846041:0.313749:0.846041:0.298686:0.638498:0.298686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e independencia científica.:@0.638498:0.329591:0.811090:0.329591:0.811090:0.314528:0.638498:0.314528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.684804:0.103730:0.831589:0.103730:0.831589:0.088258:0.684804:0.088258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 426197734:@0.869050:0.846064:0.869050:0.777891:0.857581:0.777891:0.857581:0.846064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y Física:@0.685042:0.432969:0.823260:0.432969:0.823260:0.417496:0.685042:0.417496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La matemática, junto con la :@0.638498:0.455517:0.822576:0.455517:0.822576:0.440454:0.638498:0.440454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
física, la química o la biología :@0.638498:0.471359:0.829839:0.471359:0.829839:0.456296:0.638498:0.456296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(llamadas ciencias básicas),  :@0.638498:0.487201:0.819656:0.487201:0.819656:0.472138:0.638498:0.472138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contribuyen al desarrollo cien-:@0.638498:0.503043:0.835276:0.503043:0.835276:0.487980:0.638498:0.487980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tífico de las otras ciencias. Esto :@0.638498:0.518885:0.840184:0.518885:0.840184:0.503822:0.638498:0.503822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
implica un desarrollo de la hu-:@0.638498:0.534727:0.836171:0.534727:0.836171:0.519664:0.638498:0.519664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
manidad, que, a su vez, redunda :@0.638498:0.550569:0.849487:0.550569:0.849487:0.535506:0.638498:0.535506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la organización, planificación :@0.638498:0.566411:0.848275:0.566411:0.848275:0.551348:0.638498:0.551348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y producción de bienes como :@0.638498:0.582253:0.836138:0.582253:0.836138:0.567190:0.638498:0.567190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
maquinaria, equipos, instru-:@0.638498:0.598095:0.818495:0.598095:0.818495:0.583032:0.638498:0.583032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mentos, productos y tecnología :@0.638498:0.613937:0.849047:0.613937:0.849047:0.598874:0.638498:0.598874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que simplifican nuestras tareas :@0.638498:0.629779:0.840974:0.629779:0.840974:0.614716:0.638498:0.614716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y nos ahorran esfuerzos. :@0.638498:0.645621:0.797790:0.645621:0.797790:0.630558:0.638498:0.630558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.639820:0.862896:0.651301:0.862896:0.651301:0.852871:0.639820:0.852871:0.000000
 :@0.651301:0.863604:0.654182:0.863604:0.654182:0.852127:0.651301:0.852127:0.000000
Robot para operaciones controladas :@0.657439:0.863604:0.849820:0.863604:0.849820:0.852127:0.657439:0.852127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por el cirujano.:@0.639828:0.875674:0.713217:0.875674:0.713217:0.864197:0.639828:0.864197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.684804:0.394616:0.782426:0.394616:0.782426:0.379144:0.684804:0.379144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
socioemocional:@0.684804:0.407184:0.795179:0.407184:0.795179:0.391711:0.684804:0.391711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué aplicación científica te :@0.638306:0.897240:0.824408:0.897240:0.824408:0.882176:0.638306:0.882176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parece la que más ha salvado :@0.638306:0.913082:0.830283:0.913082:0.830283:0.898018:0.638306:0.898018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vidas?:@0.638306:0.928924:0.676230:0.928924:0.676230:0.913860:0.638306:0.913860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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
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