﻿228:@0.054582:0.966558:0.078778:0.966558:0.078778:0.950778:0.054582:0.950778:0.000000:0.000000:0.000000
El conjunto de polinomios  :@0.404235:0.134886:0.739651:0.134886:0.739651:0.090226:0.404235:0.090226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con coeficientes reales:@0.404235:0.172605:0.677081:0.172605:0.677081:0.127945:0.404235:0.127945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.38. Reconocer funciones polinomiales de grado n (entero positivo) con coeficientes reales en diversos ejemplos. :@0.143128:0.947976:0.652223:0.947976:0.652223:0.937934:0.143128:0.937934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.39. Realizar operaciones de suma entre funciones en ejercicios algebraicos de simplificación.:@0.143128:0.956777:0.562117:0.956777:0.562117:0.946735:0.143128:0.946735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En esta sección definiremos los polinomios en  con coeficientes en :@0.404236:0.196079:0.895922:0.196079:0.895922:0.179582:0.404236:0.179582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.735982:0.195110:0.754708:0.195110:0.754708:0.181664:0.735982:0.181664:0.000000:0.000000
:@0.404236:0.212461:0.418146:0.212461:0.418146:0.199014:0.404236:0.199014:0.000000
, de todos estos polinomios, la igualdad de polinomios y tres opera-:@0.418146:0.213430:0.891676:0.213430:0.891676:0.196932:0.418146:0.196932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones: dos internas, que son la adición y el producto de polinomios; :@0.404236:0.230781:0.895955:0.230781:0.895955:0.214283:0.404236:0.214283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y una exterior, que es el producto de números reales por polinomios.  :@0.404236:0.248131:0.895888:0.248131:0.895888:0.231634:0.404236:0.231634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.891763:0.247163:0.906212:0.247163:0.906212:0.233716:0.891763:0.233716:0.000000:0.000000:0.000000
Definición:@0.404236:0.284048:0.484320:0.284048:0.484320:0.267102:0.404236:0.267102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un polinomio en   con coeficientes en   se define como:@0.404236:0.300936:0.817507:0.300936:0.817507:0.284438:0.404236:0.284438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.530980:0.299967:0.544890:0.299967:0.544890:0.286520:0.530980:0.286520:0.000000
:@0.690127:0.299967:0.704036:0.299967:0.704036:0.286520:0.690127:0.286520:0.000000
P t:@0.539844:0.325530:0.560246:0.325530:0.560246:0.309062:0.539844:0.309062:0.000000:0.000000:0.000000
( ) =:@0.548629:0.325415:0.581149:0.325415:0.581149:0.308917:0.548629:0.308917:0.000000:0.000000:0.000000:0.000000:0.000000
 a  + a t + a t  + ... + a t ,:@0.581149:0.325530:0.756171:0.325532:0.756171:0.309063:0.581149:0.309062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.594260:0.328761:0.598966:0.328761:0.598966:0.319159:0.594260:0.319159:0.000000
1:@0.627112:0.328693:0.632065:0.328693:0.632065:0.319075:0.627112:0.319075:0.000000
2:@0.665875:0.328693:0.670828:0.328693:0.670828:0.319075:0.665875:0.319075:0.000000
2:@0.676491:0.319064:0.681444:0.319064:0.681444:0.309445:0.676491:0.309445:0.000000
n:@0.737158:0.328761:0.742617:0.328761:0.742617:0.319159:0.737158:0.319159:0.000000
n:@0.748041:0.319131:0.753499:0.319131:0.753499:0.309530:0.748041:0.309530:0.000000
donde :@0.404233:0.349896:0.455266:0.349896:0.455266:0.333398:0.404233:0.333398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a , a , a , ..., a:@0.455247:0.350011:0.542464:0.350011:0.542464:0.333542:0.455247:0.333542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.464225:0.353173:0.469178:0.353173:0.469178:0.343555:0.464225:0.343555:0.000000
1:@0.485128:0.353173:0.490082:0.353173:0.490082:0.343555:0.485128:0.343555:0.000000
2:@0.506030:0.353173:0.510984:0.353173:0.510984:0.343555:0.506030:0.343555:0.000000
n:@0.542460:0.353173:0.548076:0.353173:0.548076:0.343555:0.542460:0.343555:0.000000
 son números reales fijos, :@0.548076:0.349895:0.728861:0.349895:0.728861:0.333397:0.548076:0.333397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.728842:0.350011:0.738204:0.350011:0.738204:0.333542:0.728842:0.333542:0.000000
:@0.738204:0.349678:0.754252:0.349678:0.754252:0.335031:0.738204:0.335031:0.000000
:@0.754252:0.348926:0.768162:0.348926:0.768162:0.335479:0.754252:0.335479:0.000000
 y :@0.768162:0.349895:0.784248:0.349895:0.784248:0.333397:0.768162:0.333397:0.000000:0.000000:0.000000
t:@0.784229:0.350011:0.789893:0.350011:0.789893:0.333542:0.784229:0.333542:0.000000
:@0.789893:0.349678:0.805941:0.349678:0.805941:0.335031:0.789893:0.335031:0.000000
:@0.805941:0.348926:0.819851:0.348926:0.819851:0.335479:0.805941:0.335479:0.000000
 arbitrario.:@0.819851:0.349895:0.891789:0.349895:0.891789:0.333397:0.819851:0.333397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los números enteros :@0.404241:0.384596:0.561195:0.384596:0.561195:0.368099:0.404241:0.368099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a , a , a , ..., a:@0.562081:0.384712:0.655175:0.384712:0.655175:0.368243:0.562081:0.368243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.571243:0.387874:0.576196:0.387874:0.576196:0.378256:0.571243:0.378256:0.000000
1:@0.593550:0.387874:0.598503:0.387874:0.598503:0.378256:0.593550:0.378256:0.000000
2:@0.615857:0.387874:0.620811:0.387874:0.620811:0.378256:0.615857:0.378256:0.000000
n:@0.655366:0.387874:0.660982:0.387874:0.660982:0.378256:0.655366:0.378256:0.000000
 se llaman coeficientes del poli-:@0.661094:0.384596:0.891778:0.384596:0.891778:0.368099:0.661094:0.368099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nomio  ( ).:@0.404230:0.401947:0.486936:0.401947:0.486936:0.385450:0.404230:0.385450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.457056:0.402063:0.477843:0.402063:0.477843:0.385594:0.457056:0.385594:0.000000:0.000000:0.000000
Si   ≠ 0, al número natural   se lo llama grado del polinomio  ( ) y se :@0.404230:0.436649:0.895858:0.436649:0.895858:0.420151:0.404230:0.420151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.419720:0.436764:0.428697:0.436764:0.428697:0.420296:0.419720:0.420296:0.000000
n:@0.428706:0.439927:0.434322:0.439927:0.434322:0.430308:0.428706:0.430308:0.000000
n:@0.596978:0.436764:0.606341:0.436764:0.606341:0.420296:0.596978:0.420296:0.000000
P t:@0.835615:0.436764:0.856017:0.436764:0.856017:0.420296:0.835615:0.420296:0.000000:0.000000:0.000000
lo denota con :@0.404229:0.453999:0.509204:0.453999:0.509204:0.437502:0.404229:0.437502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grad P:@0.509743:0.454115:0.555616:0.454115:0.555616:0.437646:0.509743:0.437646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ). Esto es, :@0.540878:0.453999:0.625489:0.453999:0.625489:0.437502:0.540878:0.437502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grad P:@0.626028:0.454115:0.671901:0.454115:0.671901:0.437646:0.626028:0.437646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) =  . Si   ≠ 0,   = 0,   = 1, ...,n, :@0.657163:0.453999:0.895873:0.453999:0.895873:0.437502:0.657163:0.437502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.698025:0.454115:0.707388:0.454115:0.707388:0.437646:0.698025:0.437646:0.000000
a:@0.731315:0.454115:0.740293:0.454115:0.740293:0.437646:0.731315:0.437646:0.000000
0:@0.740324:0.457277:0.745278:0.457277:0.745278:0.447659:0.740324:0.447659:0.000000
a:@0.781381:0.454115:0.790359:0.454115:0.790359:0.437646:0.781381:0.437646:0.000000
i:@0.790263:0.457345:0.792476:0.457345:0.792476:0.447744:0.790263:0.447744:0.000000
i:@0.828579:0.454115:0.832375:0.454115:0.832375:0.437646:0.828579:0.437646:0.000000
grado P:@0.404243:0.471466:0.458648:0.471466:0.458648:0.454997:0.404243:0.454997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = 0.:@0.443910:0.471350:0.494944:0.471350:0.494944:0.454853:0.443910:0.454853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si  = 0,   = 0,1, ...,  ,  ( ) es el polinomio nulo. Es decir que  ( ) = 0 para :@0.404243:0.506052:0.895893:0.506052:0.895893:0.489554:0.404243:0.489554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.419405:0.506167:0.428382:0.506167:0.428382:0.489699:0.419405:0.489699:0.000000
i :@0.428262:0.509397:0.432890:0.509397:0.432890:0.499796:0.428262:0.499796:0.000000:0.000000
i:@0.461193:0.506167:0.464989:0.506167:0.464989:0.489699:0.461193:0.489699:0.000000
n P t:@0.522727:0.506167:0.558618:0.506167:0.558618:0.489699:0.522727:0.489699:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.804809:0.506167:0.825211:0.506167:0.825211:0.489699:0.804809:0.489699:0.000000:0.000000:0.000000
todo :@0.404245:0.523402:0.443508:0.523402:0.443508:0.506905:0.404245:0.506905:0.000000:0.000000:0.000000:0.000000:0.000000
t :@0.443508:0.523518:0.453314:0.523518:0.453314:0.507049:0.443508:0.507049:0.000000:0.000000
 :@0.453314:0.523186:0.474178:0.523186:0.474178:0.508539:0.453314:0.508539:0.000000:0.000000
:@0.474178:0.522434:0.488088:0.522434:0.488088:0.508987:0.474178:0.508987:0.000000
. El grado del polinomio nulo no se define.:@0.488088:0.523402:0.787582:0.523402:0.787582:0.506905:0.488088:0.506905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404245:0.540753:0.408387:0.540753:0.408387:0.524256:0.404245:0.524256:0.000000
Debe notarse que para todo :@0.404245:0.558104:0.608224:0.558104:0.608224:0.541606:0.404245:0.541606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.607781:0.558220:0.613445:0.558220:0.613445:0.541751:0.607781:0.541751:0.000000
:@0.613445:0.557887:0.629493:0.557887:0.629493:0.543240:0.613445:0.543240:0.000000
:@0.629493:0.557135:0.643402:0.557135:0.643402:0.543688:0.629493:0.543688:0.000000
, :@0.643402:0.558104:0.650299:0.558104:0.650299:0.541606:0.643402:0.541606:0.000000:0.000000
t  , k :@0.649897:0.558220:0.683052:0.558220:0.683052:0.541751:0.649897:0.541751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.655552:0.551752:0.660416:0.551752:0.660416:0.542134:0.655552:0.542134:0.000000
= 0,1, ..., n es la potencia de un :@0.682609:0.558104:0.895837:0.558104:0.895837:0.541606:0.682609:0.541606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número real con exponentes naturales. :@0.404245:0.575455:0.684283:0.575455:0.684283:0.558957:0.404245:0.558957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El polinomio  ( ) se dice que está ordenado en forma decreciente :@0.404245:0.610156:0.895983:0.610156:0.895983:0.593659:0.404245:0.593659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.503633:0.610272:0.524035:0.610272:0.524035:0.593803:0.503633:0.593803:0.000000:0.000000:0.000000
con relación a las potencias de  , si este se escribe como::@0.404245:0.627507:0.800971:0.627507:0.800971:0.611009:0.404245:0.611009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.624524:0.627623:0.630188:0.627623:0.630188:0.611154:0.624524:0.611154:0.000000
P t:@0.561488:0.644973:0.581890:0.644973:0.581890:0.628505:0.561488:0.628505:0.000000:0.000000:0.000000
( ) =:@0.570273:0.644858:0.602793:0.644858:0.602793:0.628360:0.570273:0.628360:0.000000:0.000000:0.000000:0.000000:0.000000
 a t  + ... + a t + a .:@0.602793:0.644973:0.734525:0.644973:0.734525:0.628505:0.602793:0.628505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.615750:0.648203:0.621209:0.648203:0.621209:0.638602:0.615750:0.638602:0.000000
n:@0.626633:0.638573:0.632091:0.638573:0.632091:0.628972:0.626633:0.628972:0.000000
1:@0.687958:0.648136:0.692911:0.648136:0.692911:0.638518:0.687958:0.638518:0.000000
0:@0.726721:0.648136:0.731675:0.648136:0.731675:0.638518:0.726721:0.638518:0.000000
Esquema de Hörner:@0.404236:0.680957:0.559386:0.680957:0.559386:0.663274:0.404236:0.663274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideremos el polinomio siguiente, ordenado en forma ascendente::@0.404236:0.697664:0.888189:0.697664:0.888189:0.681167:0.404236:0.681167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.539844:0.715131:0.560246:0.715131:0.560246:0.698662:0.539844:0.698662:0.000000:0.000000:0.000000
( ) =:@0.548629:0.715015:0.581149:0.715015:0.581149:0.698517:0.548629:0.698517:0.000000:0.000000:0.000000:0.000000:0.000000
 a  + a t + a t  + ... + a t .:@0.581149:0.715131:0.756171:0.715131:0.756171:0.698662:0.581149:0.698662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.594260:0.718361:0.598966:0.718361:0.598966:0.708759:0.594260:0.708759:0.000000
1:@0.627112:0.718293:0.632065:0.718293:0.632065:0.708675:0.627112:0.708675:0.000000
2:@0.665875:0.718293:0.670828:0.718293:0.670828:0.708675:0.665875:0.708675:0.000000
2:@0.676491:0.708663:0.681444:0.708663:0.681444:0.699045:0.676491:0.699045:0.000000
n:@0.737158:0.718361:0.742617:0.718361:0.742617:0.708759:0.737158:0.708759:0.000000
n:@0.748041:0.708731:0.753499:0.708731:0.753499:0.699130:0.748041:0.699130:0.000000
Dado :@0.404233:0.749717:0.447965:0.749717:0.447965:0.733219:0.404233:0.733219:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.447772:0.749832:0.453436:0.749832:0.453436:0.733364:0.447772:0.733364:0.000000
:@0.453436:0.749500:0.469484:0.749500:0.469484:0.734853:0.453436:0.734853:0.000000
:@0.469484:0.748748:0.483394:0.748748:0.483394:0.735301:0.469484:0.735301:0.000000
, para calcular  ( ), utilizamos la siguiente escritura de  ( )::@0.483394:0.749717:0.891759:0.749717:0.891759:0.733219:0.483394:0.733219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.583669:0.749832:0.604071:0.749832:0.604071:0.733364:0.583669:0.733364:0.000000:0.000000:0.000000
P t:@0.862650:0.749832:0.883052:0.749832:0.883052:0.733364:0.862650:0.733364:0.000000:0.000000:0.000000
P t:@0.405061:0.767183:0.424693:0.767183:0.424693:0.750714:0.405061:0.750714:0.000000:0.000000:0.000000
( ) =:@0.413461:0.767067:0.444439:0.767067:0.444439:0.750570:0.413461:0.750570:0.000000:0.000000:0.000000:0.000000:0.000000
 a  + t(a  + a t + ... + a t:@0.444054:0.767183:0.601852:0.767183:0.601852:0.750714:0.444054:0.750714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.456410:0.770413:0.461116:0.770413:0.461116:0.760812:0.456410:0.760812:0.000000
1:@0.497822:0.770345:0.502775:0.770345:0.502775:0.760727:0.497822:0.760727:0.000000
2:@0.529154:0.770345:0.534107:0.770345:0.534107:0.760727:0.529154:0.760727:0.000000
n:@0.591022:0.770413:0.596481:0.770413:0.596481:0.760812:0.591022:0.760812:0.000000
n–1:@0.601295:0.760783:0.616862:0.760783:0.616862:0.751182:0.601295:0.751182:0.000000:0.000000:0.000000
) = :@0.616636:0.767067:0.640525:0.767067:0.640525:0.750570:0.616636:0.750570:0.000000:0.000000:0.000000:0.000000
a  + t(a  + t (a  + a t + ... + a t:@0.640140:0.767183:0.839591:0.767183:0.839591:0.750714:0.640140:0.750714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.648731:0.770413:0.653437:0.770413:0.653437:0.760812:0.648731:0.760812:0.000000
1:@0.690143:0.770345:0.695096:0.770345:0.695096:0.760727:0.690143:0.760727:0.000000
2:@0.735558:0.770345:0.740512:0.770345:0.740512:0.760727:0.735558:0.760727:0.000000
3:@0.766892:0.770345:0.771845:0.770345:0.771845:0.760727:0.766892:0.760727:0.000000
n:@0.828760:0.770413:0.834219:0.770413:0.834219:0.760812:0.828760:0.760812:0.000000
n–2:@0.839031:0.760783:0.854598:0.760783:0.854598:0.751182:0.839031:0.751182:0.000000:0.000000:0.000000
)) = ...:@0.854373:0.767067:0.890939:0.767067:0.890939:0.750570:0.854373:0.750570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.494325:0.784418:0.508889:0.784418:0.508889:0.767920:0.494325:0.767920:0.000000:0.000000
a  + t(a  + t (a  + t(a  + ... + t(a  + a t:@0.508504:0.784534:0.769934:0.784534:0.769934:0.768065:0.508504:0.768065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.517095:0.787764:0.521801:0.787764:0.521801:0.778162:0.517095:0.778162:0.000000
1:@0.558507:0.787696:0.563461:0.787696:0.563461:0.778078:0.558507:0.778078:0.000000
2:@0.603923:0.787696:0.608876:0.787696:0.608876:0.778078:0.603923:0.778078:0.000000
3:@0.645583:0.787764:0.650289:0.787764:0.650289:0.778162:0.645583:0.778162:0.000000
n–1:@0.716258:0.787696:0.732499:0.787696:0.732499:0.778078:0.716258:0.778078:0.000000:0.000000:0.000000
n:@0.758879:0.787696:0.764495:0.787696:0.764495:0.778078:0.758879:0.778078:0.000000
)...))).:@0.769549:0.784418:0.801683:0.784418:0.801683:0.767920:0.769549:0.767920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A esta escritura se lo denomina esquema de Hörner. Para calcular  ( ) :@0.404241:0.819120:0.895883:0.819120:0.895883:0.802622:0.404241:0.802622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.865386:0.819235:0.885788:0.819235:0.885788:0.802767:0.865386:0.802767:0.000000:0.000000:0.000000
en un asignado punto :@0.404241:0.836470:0.570905:0.836470:0.570905:0.819973:0.404241:0.819973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.572947:0.836586:0.578611:0.836586:0.578611:0.820117:0.572947:0.820117:0.000000
:@0.578611:0.836254:0.594659:0.836254:0.594659:0.821607:0.578611:0.821607:0.000000
:@0.594659:0.835502:0.608569:0.835502:0.608569:0.822055:0.594659:0.822055:0.000000
, escribimos, en primer lugar,  ( ) en la :@0.608569:0.836470:0.895889:0.836470:0.895889:0.819973:0.608569:0.819973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.823817:0.836586:0.844219:0.836586:0.844219:0.820117:0.823817:0.820117:0.000000:0.000000:0.000000
forma del esquema de Hörner::@0.404241:0.853821:0.621068:0.853821:0.621068:0.837323:0.404241:0.837323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.502744:0.871288:0.522376:0.871288:0.522376:0.854819:0.502744:0.854819:0.000000:0.000000:0.000000
( ) =:@0.511144:0.871172:0.542123:0.871172:0.542123:0.854674:0.511144:0.854674:0.000000:0.000000:0.000000:0.000000:0.000000
 a  + t(a  + t(a  + ... + t(a  + a t:@0.541737:0.871288:0.761511:0.871288:0.761511:0.854819:0.541737:0.854819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.554090:0.874517:0.558796:0.874517:0.558796:0.864916:0.554090:0.864916:0.000000
1:@0.595502:0.874450:0.600455:0.874450:0.600455:0.864832:0.595502:0.864832:0.000000
3:@0.637160:0.874517:0.641866:0.874517:0.641866:0.864916:0.637160:0.864916:0.000000
n–1:@0.707835:0.874450:0.724076:0.874450:0.724076:0.864832:0.707835:0.864832:0.000000:0.000000:0.000000
n:@0.750456:0.874450:0.756072:0.874450:0.756072:0.864832:0.750456:0.864832:0.000000
)...))).:@0.761126:0.871172:0.793260:0.871172:0.793260:0.854674:0.761126:0.854674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A continuación, el cálculo de  ( ) se inicia desde el paréntesis más :@0.404237:0.905873:0.895958:0.905873:0.895958:0.889376:0.404237:0.889376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.623953:0.905989:0.644355:0.905989:0.644355:0.889520:0.623953:0.889520:0.000000:0.000000:0.000000
interno hacia los más externos.:@0.404237:0.923224:0.622551:0.923224:0.622551:0.906726:0.404237:0.906726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199646:0.110812:0.307805:0.110812:0.307805:0.095339:0.199646:0.095339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es el algoritmo:@0.199884:0.139440:0.332460:0.139440:0.332460:0.124377:0.199884:0.124377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para el cálculo de valores de :@0.153341:0.155282:0.338877:0.155282:0.338877:0.140219:0.153341:0.140219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polinomios?:@0.153341:0.171124:0.232510:0.171124:0.232510:0.156061:0.153341:0.156061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.214711:0.363493:0.214711:0.363493:0.199239:0.199646:0.199239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es un polinomio:@0.199884:0.243339:0.344103:0.243339:0.344103:0.228276:0.199884:0.228276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en  con coeficientes en  ?:@0.153341:0.259181:0.336977:0.259181:0.336977:0.244118:0.153341:0.244118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.173147:0.258296:0.190244:0.258296:0.190244:0.246019:0.173147:0.246019:0.000000:0.000000
:@0.319070:0.258296:0.331770:0.258296:0.331770:0.246019:0.319070:0.246019:0.000000
Interdisciplinariedad:@0.199964:0.340968:0.346749:0.340968:0.346749:0.325496:0.199964:0.325496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática  :@0.200202:0.370018:0.292215:0.370018:0.292215:0.354546:0.200202:0.354546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y Tecnología:@0.153659:0.385860:0.241025:0.385860:0.241025:0.370388:0.153659:0.370388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El estudio de los polinomios :@0.153659:0.401280:0.339951:0.401280:0.339951:0.386216:0.153659:0.386216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se utiliza para el cálculo de la :@0.153659:0.417122:0.344087:0.417122:0.344087:0.402058:0.153659:0.402058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alineación de antenas electro-:@0.153659:0.432964:0.346796:0.432964:0.346796:0.417900:0.153659:0.417900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
magnéticas; por ejemplo, en :@0.153659:0.448806:0.339371:0.448806:0.339371:0.433742:0.153659:0.433742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una antena ranurada resonante :@0.153659:0.464648:0.360410:0.464648:0.360410:0.449584:0.153659:0.449584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para aplicarla a redes WiFi en la :@0.153659:0.480490:0.360094:0.480490:0.360094:0.465426:0.153659:0.465426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
banda de 2,4 GHz. El diseño de :@0.153659:0.496332:0.357524:0.496332:0.357524:0.481268:0.153659:0.481268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la antena se hace empleando :@0.153659:0.512174:0.345318:0.512174:0.345318:0.497110:0.153659:0.497110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los polinomios de Chebyshev :@0.153659:0.528015:0.348306:0.528015:0.348306:0.512952:0.153659:0.512952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para determinar la distribución :@0.153659:0.543857:0.357490:0.543857:0.357490:0.528794:0.153659:0.528794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la corriente a cada elemento.:@0.153659:0.559699:0.359708:0.559699:0.359708:0.544636:0.153659:0.544636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga escribe:@0.153664:0.741186:0.265797:0.741186:0.265797:0.725714:0.153664:0.725714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.201296:0.740763:0.216001:0.740763:0.216001:0.725700:0.201296:0.725700:0.000000:0.000000:0.000000
 otras aplica-:@0.265800:0.740763:0.348401:0.740763:0.348401:0.725700:0.265800:0.725700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones de los polinomios.:@0.153664:0.756605:0.317388:0.756605:0.317388:0.741542:0.153664:0.741542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 60212764:@0.384790:0.709032:0.384790:0.644186:0.373321:0.644186:0.373321:0.709032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000