230:@0.054582:0.966558:0.078778:0.966558:0.078778:0.950778:0.054582:0.950778:0.000000:0.000000:0.000000
Igualdad de polinomios :@0.404236:0.097328:0.597461:0.097328:0.597461:0.079645:0.404236:0.079645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.404236:0.114498:0.484320:0.114498:0.484320:0.097552:0.404236:0.097552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.404236:0.148346:0.442035:0.148346:0.442035:0.131849:0.404236:0.131849:0.000000:0.000000:0.000000:0.000000:0.000000
P, Q :@0.442035:0.148462:0.472127:0.148462:0.472127:0.131993:0.442035:0.131993:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.472127:0.148130:0.488175:0.148130:0.488175:0.133483:0.472127:0.133483:0.000000
 :@0.488175:0.148346:0.492317:0.148346:0.492317:0.131849:0.488175:0.131849:0.000000
[ ]:@0.505367:0.150199:0.532550:0.150199:0.532550:0.129500:0.505367:0.129500:0.000000:0.000000:0.000000
 :@0.494478:0.151867:0.525957:0.151867:0.525957:0.130525:0.494478:0.130525:0.000000:0.000000:0.000000
] con :@0.535871:0.148346:0.576964:0.148346:0.576964:0.131848:0.535871:0.131848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pt:@0.586129:0.139034:0.609016:0.139034:0.609016:0.122565:0.586129:0.122565:0.000000:0.000000
a:@0.634555:0.139034:0.643532:0.139034:0.643532:0.122565:0.634555:0.122565:0.000000
a t:@0.666285:0.139034:0.684455:0.139034:0.684455:0.122565:0.666285:0.122565:0.000000:0.000000:0.000000
a t:@0.730827:0.139034:0.750889:0.139034:0.750889:0.122565:0.730827:0.122565:0.000000:0.000000:0.000000
Qt:@0.586129:0.164180:0.612638:0.164180:0.612638:0.147711:0.586129:0.147711:0.000000:0.000000
b:@0.637748:0.164180:0.647014:0.164180:0.647014:0.147711:0.637748:0.147711:0.000000
b t:@0.669208:0.164180:0.687544:0.164180:0.687544:0.147711:0.669208:0.147711:0.000000:0.000000:0.000000
b t:@0.733492:0.164180:0.756909:0.164180:0.756909:0.147711:0.733492:0.147711:0.000000:0.000000:0.000000
t:@0.589846:0.188698:0.595510:0.188698:0.595510:0.172229:0.589846:0.172229:0.000000
n:@0.739413:0.141204:0.744832:0.141204:0.744832:0.131672:0.739413:0.131672:0.000000
n:@0.751924:0.130953:0.757344:0.130953:0.757344:0.121420:0.751924:0.121420:0.000000
m:@0.742450:0.166350:0.751014:0.166350:0.751014:0.156818:0.742450:0.156818:0.000000
m:@0.758156:0.156096:0.766720:0.156096:0.766720:0.146564:0.758156:0.146564:0.000000
,:@0.761768:0.138919:0.764522:0.138919:0.764522:0.122421:0.761768:0.122421:0.000000
,:@0.769628:0.164063:0.772383:0.164063:0.772383:0.147565:0.769628:0.147565:0.000000
.:@0.627906:0.188582:0.630661:0.188582:0.630661:0.172084:0.627906:0.172084:0.000000
0:@0.643350:0.141137:0.648267:0.141137:0.648267:0.131589:0.643350:0.131589:0.000000
1:@0.674394:0.141137:0.679311:0.141137:0.679311:0.131589:0.674394:0.131589:0.000000
0:@0.646700:0.166283:0.651618:0.166283:0.651618:0.156735:0.646700:0.156735:0.000000
1:@0.677488:0.166283:0.682405:0.166283:0.682405:0.156735:0.677488:0.156735:0.000000
:@0.613142:0.191821:0.627051:0.191821:0.627051:0.170161:0.613142:0.170161:0.000000
():@0.596234:0.141854:0.616886:0.141854:0.616886:0.119875:0.596234:0.119875:0.000000:0.000000
():@0.599846:0.167000:0.620498:0.167000:0.620498:0.145021:0.599846:0.145021:0.000000:0.000000
=:@0.619896:0.139555:0.630473:0.139555:0.630473:0.123274:0.619896:0.123274:0.000000
+:@0.652782:0.139555:0.663359:0.139555:0.663359:0.123274:0.652782:0.123274:0.000000
+⋅⋅⋅+:@0.687479:0.139555:0.727898:0.139555:0.727898:0.123274:0.687479:0.123274:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.623508:0.164701:0.634085:0.164701:0.634085:0.148420:0.623508:0.148420:0.000000
+:@0.656124:0.164701:0.666701:0.164701:0.666701:0.148420:0.656124:0.148420:0.000000
+⋅⋅⋅+:@0.690571:0.164701:0.730989:0.164701:0.730989:0.148420:0.690571:0.148420:0.000000:0.000000:0.000000:0.000000:0.000000
∀∈:@0.576231:0.189223:0.613009:0.189223:0.613009:0.172942:0.576231:0.172942:0.000000:0.000000
 :@0.776411:0.148346:0.780553:0.148346:0.780553:0.131848:0.776411:0.131848:0.000000
Pt:@0.793431:0.099434:0.816318:0.099434:0.816318:0.082966:0.793431:0.082966:0.000000:0.000000
a:@0.841864:0.099434:0.850842:0.099434:0.850842:0.082966:0.841864:0.082966:0.000000
a t:@0.873594:0.099434:0.891761:0.099434:0.891761:0.082966:0.873594:0.082966:0.000000:0.000000:0.000000
a t:@0.938133:0.099434:0.958188:0.099434:0.958188:0.082966:0.938133:0.082966:0.000000:0.000000:0.000000
Qt:@0.793431:0.124578:0.819940:0.124578:0.819940:0.108110:0.793431:0.108110:0.000000:0.000000
b:@0.845043:0.124578:0.854309:0.124578:0.854309:0.108110:0.845043:0.108110:0.000000
b t:@0.876503:0.124578:0.894844:0.124578:0.894844:0.108110:0.876503:0.108110:0.000000:0.000000:0.000000
b t:@0.940791:0.124578:0.964218:0.124578:0.964218:0.108110:0.940791:0.108110:0.000000:0.000000:0.000000
t:@0.797149:0.149101:0.802813:0.149101:0.802813:0.132632:0.797149:0.132632:0.000000
n:@0.946716:0.101605:0.952135:0.101605:0.952135:0.092072:0.946716:0.092072:0.000000
n:@0.959227:0.091353:0.964646:0.091353:0.964646:0.081820:0.959227:0.081820:0.000000
m:@0.949749:0.126753:0.958312:0.126753:0.958312:0.117221:0.949749:0.117221:0.000000
m:@0.965449:0.116501:0.974013:0.116501:0.974013:0.106969:0.965449:0.106969:0.000000
,:@0.969068:0.099319:0.971823:0.099319:0.971823:0.082821:0.969068:0.082821:0.000000
,:@0.976929:0.124463:0.979684:0.124463:0.979684:0.107965:0.976929:0.107965:0.000000
.  :@0.835213:0.148985:0.847824:0.148346:0.847824:0.131848:0.835213:0.132487:0.000000:0.000000:0.000000
0:@0.850651:0.101537:0.855568:0.101537:0.855568:0.091989:0.850651:0.091989:0.000000
1:@0.881694:0.101537:0.886612:0.101537:0.886612:0.091989:0.881694:0.091989:0.000000
0:@0.853996:0.126686:0.858913:0.126686:0.858913:0.117137:0.853996:0.117137:0.000000
1:@0.884783:0.126686:0.889701:0.126686:0.889701:0.117137:0.884783:0.117137:0.000000
:@0.820444:0.152221:0.834354:0.152221:0.834354:0.130561:0.820444:0.130561:0.000000
():@0.803535:0.102254:0.824187:0.102254:0.824187:0.080275:0.803535:0.080275:0.000000:0.000000
():@0.807137:0.127395:0.827790:0.127395:0.827790:0.105416:0.807137:0.105416:0.000000:0.000000
=:@0.827197:0.099955:0.837774:0.099955:0.837774:0.083674:0.827197:0.083674:0.000000
+:@0.860083:0.099955:0.870660:0.099955:0.870660:0.083674:0.860083:0.083674:0.000000
+⋅⋅⋅+:@0.894780:0.099955:0.935198:0.099955:0.935198:0.083674:0.894780:0.083674:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.830800:0.125099:0.841377:0.125099:0.841377:0.108818:0.830800:0.108818:0.000000
+:@0.863416:0.125099:0.873993:0.125099:0.873993:0.108818:0.863416:0.108818:0.000000
+⋅⋅⋅+:@0.897862:0.125099:0.938281:0.125099:0.938281:0.108818:0.897862:0.108818:0.000000:0.000000:0.000000:0.000000:0.000000
∀∈:@0.783523:0.149621:0.820300:0.149621:0.820300:0.133341:0.783523:0.133341:0.000000:0.000000
Diremos que :@0.404241:0.188079:0.500972:0.188079:0.500972:0.171581:0.404241:0.171581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P = Q:@0.502089:0.188195:0.544165:0.188195:0.544165:0.171726:0.502089:0.171726:0.000000:0.000000:0.000000:0.000000:0.000000
 si y solo si :@0.544165:0.188079:0.626851:0.188079:0.626851:0.171581:0.544165:0.171581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grad P:@0.627969:0.188195:0.673839:0.188195:0.673839:0.171726:0.627969:0.171726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = :@0.659101:0.188079:0.700001:0.188079:0.700001:0.171581:0.659101:0.171581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grad Q:@0.701119:0.188195:0.750072:0.188195:0.750072:0.171726:0.701119:0.171726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) =   =  ; y, a = b, :@0.732232:0.188079:0.895912:0.188077:0.895912:0.171579:0.732232:0.171581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.777351:0.188195:0.792147:0.188195:0.792147:0.171726:0.777351:0.171726:0.000000
n:@0.813474:0.188195:0.822837:0.188195:0.822837:0.171726:0.813474:0.171726:0.000000
i:@0.853780:0.191422:0.855993:0.191422:0.855993:0.181821:0.853780:0.181821:0.000000
i:@0.886802:0.191422:0.889015:0.191422:0.889015:0.181821:0.886802:0.181821:0.000000
 :@0.891770:0.188077:0.895912:0.188077:0.895912:0.171579:0.891770:0.171579:0.000000
i :@0.404244:0.205543:0.412181:0.205543:0.412181:0.189074:0.404244:0.189074:0.000000:0.000000
= 0,1, ...,  .:@0.412181:0.205427:0.482499:0.205427:0.482499:0.188930:0.412181:0.188930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.470381:0.205543:0.479744:0.205543:0.479744:0.189074:0.470381:0.189074:0.000000
Un polinomio queda perfectamente bien definido si se conocen sus :@0.404244:0.231584:0.895868:0.231584:0.895868:0.215086:0.404244:0.215086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coeficientes  ,  , ...,   :@0.404244:0.248934:0.569541:0.248930:0.569541:0.232432:0.404244:0.232437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a:@0.492554:0.249050:0.522352:0.249046:0.522352:0.232577:0.492554:0.232581:0.000000:0.000000:0.000000
0:@0.501524:0.252208:0.506477:0.252208:0.506477:0.242590:0.501524:0.242590:0.000000
1:@0.522351:0.252208:0.527304:0.252208:0.527304:0.242590:0.522351:0.242590:0.000000
a:@0.550808:0.249046:0.559786:0.249046:0.559786:0.232577:0.550808:0.232577:0.000000
n:@0.559784:0.252208:0.565400:0.252208:0.565400:0.242590:0.559784:0.242590:0.000000
:@0.569541:0.248713:0.585589:0.248713:0.585589:0.234066:0.569541:0.234066:0.000000
:@0.585589:0.247961:0.599499:0.247961:0.599499:0.234514:0.585589:0.234514:0.000000
.:@0.599499:0.248930:0.602254:0.248930:0.602254:0.232432:0.599499:0.232432:0.000000
Operaciones con polinomios:@0.404236:0.285029:0.634591:0.285029:0.634591:0.267346:0.404236:0.267346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el conjunto :@0.404236:0.302365:0.513412:0.302365:0.513412:0.285867:0.404236:0.285867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[ ]:@0.530249:0.303862:0.557433:0.303862:0.557433:0.283163:0.530249:0.283163:0.000000:0.000000:0.000000
 :@0.519360:0.305529:0.550840:0.305529:0.550840:0.284188:0.519360:0.284188:0.000000:0.000000:0.000000
 :@0.557906:0.302481:0.562048:0.302481:0.562048:0.286012:0.557906:0.286012:0.000000
definiremos dos operaciones internas: adición :@0.562973:0.302365:0.895888:0.302365:0.895888:0.285867:0.562973:0.285867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y producto.:@0.404227:0.319716:0.486526:0.319716:0.486526:0.303218:0.404227:0.303218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Adición:@0.404236:0.355815:0.467138:0.355815:0.467138:0.338132:0.404236:0.338132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.404236:0.372523:0.442035:0.372523:0.442035:0.356025:0.404236:0.356025:0.000000:0.000000:0.000000:0.000000:0.000000
a, b, k, t:@0.441803:0.372638:0.493914:0.372638:0.493914:0.356169:0.441803:0.356169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.493914:0.372306:0.509962:0.372306:0.509962:0.357659:0.493914:0.357659:0.000000
:@0.509962:0.371554:0.523872:0.371554:0.523872:0.358107:0.509962:0.358107:0.000000
. Los monomios   y   son semejantes. Su suma es:@0.523872:0.372523:0.891741:0.372523:0.891741:0.356025:0.523872:0.356025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
at:@0.640384:0.372638:0.654910:0.372638:0.654910:0.356169:0.640384:0.356169:0.000000:0.000000
k:@0.654726:0.366238:0.659533:0.366238:0.659533:0.356637:0.654726:0.356637:0.000000
bt:@0.675178:0.372638:0.690070:0.372638:0.690070:0.356169:0.675178:0.356169:0.000000:0.000000
k:@0.689849:0.366238:0.694657:0.366238:0.694657:0.356637:0.689849:0.356637:0.000000
at:@0.404234:0.389989:0.418760:0.389989:0.418760:0.373520:0.404234:0.373520:0.000000:0.000000
k:@0.418531:0.383589:0.423338:0.383589:0.423338:0.373988:0.418531:0.373988:0.000000
 + :@0.423337:0.389873:0.442429:0.389873:0.442429:0.373376:0.423337:0.373376:0.000000:0.000000:0.000000
bt:@0.442429:0.389989:0.457321:0.389989:0.457321:0.373520:0.442429:0.373520:0.000000:0.000000
k:@0.457090:0.383589:0.461897:0.383589:0.461897:0.373988:0.457090:0.373988:0.000000
 = (a + b) . :@0.461896:0.389873:0.546442:0.389873:0.546442:0.373376:0.461896:0.373376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.529305:0.389989:0.534969:0.389989:0.534969:0.373520:0.529305:0.373520:0.000000
k:@0.534737:0.383589:0.539544:0.383589:0.539544:0.373988:0.534737:0.373988:0.000000
Consideremos los polinomios en   con coeficientes en   siguientes, :@0.404245:0.407224:0.895960:0.407224:0.895960:0.390726:0.404245:0.390726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.641532:0.406255:0.655441:0.406255:0.655441:0.392808:0.641532:0.392808:0.000000
:@0.801293:0.406255:0.815202:0.406255:0.815202:0.392808:0.801293:0.392808:0.000000
escritos en forma creciente con relación a las potencias de  ::@0.404245:0.424575:0.828017:0.424575:0.828017:0.408077:0.404245:0.408077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.819598:0.424690:0.825262:0.424690:0.825262:0.408222:0.819598:0.408222:0.000000
 :@0.508181:0.465291:0.512323:0.465291:0.512323:0.448794:0.508181:0.448794:0.000000
Pt:@0.513988:0.443799:0.536435:0.443799:0.536435:0.427647:0.513988:0.427647:0.000000:0.000000
a:@0.561489:0.443799:0.570294:0.443799:0.570294:0.427647:0.561489:0.427647:0.000000
a t:@0.592609:0.443799:0.610426:0.443799:0.610426:0.427647:0.592609:0.427647:0.000000:0.000000:0.000000
a t:@0.655906:0.443799:0.678712:0.443799:0.678712:0.427647:0.655906:0.427647:0.000000:0.000000:0.000000
t:@0.723058:0.443799:0.728613:0.443799:0.728613:0.427647:0.723058:0.427647:0.000000
Qt:@0.513988:0.468459:0.539987:0.468459:0.539987:0.452307:0.513988:0.452307:0.000000:0.000000
b:@0.564607:0.468459:0.573695:0.468459:0.573695:0.452307:0.564607:0.452307:0.000000
b t:@0.595462:0.468459:0.613449:0.468459:0.613449:0.452307:0.595462:0.452307:0.000000:0.000000:0.000000
b t:@0.658513:0.468459:0.678353:0.468459:0.678353:0.452307:0.658513:0.452307:0.000000:0.000000:0.000000
t:@0.720904:0.468459:0.726459:0.468459:0.726459:0.452307:0.720904:0.452307:0.000000
m:@0.664530:0.445928:0.672929:0.445928:0.672929:0.436579:0.664530:0.436579:0.000000
m:@0.679928:0.435873:0.688327:0.435873:0.688327:0.426525:0.679928:0.426525:0.000000
n:@0.667089:0.470593:0.672404:0.470593:0.672404:0.461244:0.667089:0.461244:0.000000
n:@0.679359:0.460538:0.684674:0.460538:0.684674:0.451189:0.679359:0.451189:0.000000
,:@0.691178:0.443685:0.693880:0.443685:0.693880:0.427505:0.691178:0.427505:0.000000
,:@0.761107:0.443685:0.763809:0.443685:0.763809:0.427505:0.761107:0.427505:0.000000
,:@0.689024:0.468346:0.691726:0.468346:0.691726:0.452165:0.689024:0.452165:0.000000
.:@0.758235:0.468346:0.760937:0.468346:0.760937:0.452165:0.758235:0.452165:0.000000
0:@0.570107:0.445862:0.574930:0.445862:0.574930:0.436497:0.570107:0.436497:0.000000
1:@0.600553:0.445862:0.605376:0.445862:0.605376:0.436497:0.600553:0.436497:0.000000
0:@0.573388:0.470527:0.578210:0.470527:0.578210:0.461162:0.573388:0.461162:0.000000
1:@0.603583:0.470527:0.608406:0.470527:0.608406:0.461162:0.603583:0.461162:0.000000
():@0.523897:0.446564:0.544152:0.446564:0.544152:0.425008:0.523897:0.425008:0.000000:0.000000
():@0.527430:0.471222:0.547685:0.471222:0.547685:0.449665:0.527430:0.449665:0.000000:0.000000
=:@0.547104:0.444309:0.557477:0.444309:0.557477:0.428342:0.547104:0.428342:0.000000
+:@0.579357:0.444309:0.589730:0.444309:0.589730:0.428342:0.579357:0.428342:0.000000
+⋅⋅⋅+:@0.613387:0.444309:0.653028:0.444309:0.653028:0.428342:0.613387:0.428342:0.000000:0.000000:0.000000:0.000000:0.000000
∀ ∈:@0.709712:0.444309:0.745782:0.444309:0.745782:0.428342:0.709712:0.428342:0.000000:0.000000:0.000000
=:@0.550656:0.468970:0.561029:0.468970:0.561029:0.453002:0.550656:0.453002:0.000000
+:@0.582645:0.468970:0.593018:0.468970:0.593018:0.453002:0.582645:0.453002:0.000000
+⋅⋅⋅+:@0.616429:0.468970:0.656070:0.468970:0.656070:0.453002:0.616429:0.453002:0.000000:0.000000:0.000000:0.000000:0.000000
∀ ∈:@0.707577:0.468970:0.743628:0.468970:0.743628:0.453002:0.707577:0.453002:0.000000:0.000000:0.000000
:@0.745914:0.446862:0.759556:0.446862:0.759556:0.425619:0.745914:0.425619:0.000000
:@0.743760:0.471522:0.757402:0.471522:0.757402:0.450279:0.743760:0.450279:0.000000
 :@0.787834:0.465296:0.791976:0.465296:0.791976:0.448799:0.787834:0.448799:0.000000
Definiremos la suma de los polinomios  ( ) y  ( ). Para el efecto, con-:@0.404244:0.499998:0.891801:0.499998:0.891801:0.483500:0.404244:0.483500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.681895:0.500113:0.702297:0.500113:0.702297:0.483645:0.681895:0.483645:0.000000:0.000000:0.000000
Q t:@0.723382:0.500113:0.746886:0.500113:0.746886:0.483645:0.723382:0.483645:0.000000:0.000000:0.000000
sideramos dos casos.:@0.404244:0.517349:0.551581:0.517349:0.551581:0.500851:0.404244:0.500851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Caso I:@0.404244:0.545225:0.450519:0.545225:0.450519:0.528280:0.404244:0.528280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Si:@0.450519:0.544763:0.469033:0.544763:0.469033:0.528265:0.450519:0.528265:0.000000:0.000000:0.000000:0.000000
 m = n:@0.469033:0.544878:0.515924:0.544878:0.515924:0.528410:0.469033:0.528410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. La suma de P(t) con Q(t) se define en la forma habi-:@0.515924:0.544763:0.891770:0.544763:0.891770:0.528265:0.515924:0.528265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tual de funciones reales como::@0.404244:0.562113:0.619069:0.562113:0.619069:0.545616:0.404244:0.545616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.527272:0.579464:0.533225:0.579464:0.533225:0.562967:0.527272:0.562967:0.000000
P + Q t  = P t  + Q t:@0.533225:0.579580:0.684784:0.579580:0.684784:0.563111:0.533225:0.563111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
)( ):@0.573065:0.579464:0.596588:0.579464:0.596588:0.562967:0.573065:0.562967:0.000000:0.000000:0.000000:0.000000
( ):@0.624542:0.579464:0.642112:0.579464:0.642112:0.562967:0.624542:0.562967:0.000000:0.000000:0.000000
( ),   :@0.673167:0.579464:0.705918:0.579464:0.705918:0.562967:0.673167:0.562967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pt:@0.515181:0.579279:0.537627:0.579279:0.537627:0.563127:0.515181:0.563127:0.000000:0.000000
a:@0.562682:0.579279:0.571487:0.579279:0.571487:0.563127:0.562682:0.563127:0.000000
a t:@0.593801:0.579279:0.611619:0.579279:0.611619:0.563127:0.593801:0.563127:0.000000:0.000000:0.000000
a t:@0.657099:0.579279:0.679905:0.579279:0.679905:0.563127:0.657099:0.563127:0.000000:0.000000:0.000000
t:@0.724250:0.579279:0.729805:0.579279:0.729805:0.563127:0.724250:0.563127:0.000000
Qt:@0.515181:0.603940:0.541180:0.603940:0.541180:0.587788:0.515181:0.587788:0.000000:0.000000
b:@0.565799:0.603940:0.574888:0.603940:0.574888:0.587788:0.565799:0.587788:0.000000
b t:@0.596655:0.603940:0.614642:0.603940:0.614642:0.587788:0.596655:0.587788:0.000000:0.000000:0.000000
b t:@0.659706:0.603940:0.679546:0.603940:0.679546:0.587788:0.659706:0.587788:0.000000:0.000000:0.000000
t:@0.722096:0.603940:0.727651:0.603940:0.727651:0.587788:0.722096:0.587788:0.000000
m:@0.665723:0.581409:0.674122:0.581409:0.674122:0.572060:0.665723:0.572060:0.000000
m:@0.681121:0.571354:0.689520:0.571354:0.689520:0.562005:0.681121:0.562005:0.000000
n:@0.668282:0.606073:0.673597:0.606073:0.673597:0.596724:0.668282:0.596724:0.000000
n:@0.680552:0.596019:0.685867:0.596019:0.685867:0.586670:0.680552:0.586670:0.000000
,:@0.692371:0.579166:0.695073:0.579166:0.695073:0.562985:0.692371:0.562985:0.000000
,:@0.762300:0.579166:0.765002:0.579166:0.765002:0.562985:0.762300:0.562985:0.000000
,:@0.690217:0.603826:0.692919:0.603826:0.692919:0.587646:0.690217:0.587646:0.000000
.:@0.759428:0.603826:0.762130:0.603826:0.762130:0.587646:0.759428:0.587646:0.000000
0:@0.571299:0.581343:0.576122:0.581343:0.576122:0.571978:0.571299:0.571978:0.000000
1:@0.601746:0.581343:0.606569:0.581343:0.606569:0.571978:0.601746:0.571978:0.000000
0:@0.574580:0.606008:0.579403:0.606008:0.579403:0.596643:0.574580:0.596643:0.000000
1:@0.604775:0.606008:0.609598:0.606008:0.609598:0.596643:0.604775:0.596643:0.000000
():@0.525090:0.582044:0.545345:0.582044:0.545345:0.560488:0.525090:0.560488:0.000000:0.000000
():@0.528623:0.606702:0.548878:0.606702:0.548878:0.585146:0.528623:0.585146:0.000000:0.000000
=:@0.548297:0.579790:0.558670:0.579790:0.558670:0.563822:0.548297:0.563822:0.000000
+:@0.580550:0.579790:0.590923:0.579790:0.590923:0.563822:0.580550:0.563822:0.000000
+⋅⋅⋅+:@0.614579:0.579790:0.654220:0.579790:0.654220:0.563822:0.614579:0.563822:0.000000:0.000000:0.000000:0.000000:0.000000
∀ ∈:@0.710905:0.579790:0.746974:0.579790:0.746974:0.563822:0.710905:0.563822:0.000000:0.000000:0.000000
=:@0.551849:0.604450:0.562222:0.604450:0.562222:0.588483:0.551849:0.588483:0.000000
+:@0.583838:0.604450:0.594211:0.604450:0.594211:0.588483:0.583838:0.588483:0.000000
+⋅⋅⋅+:@0.617621:0.604450:0.657262:0.604450:0.657262:0.588483:0.617621:0.588483:0.000000:0.000000:0.000000:0.000000:0.000000
∀ ∈:@0.708769:0.604450:0.744820:0.604450:0.744820:0.588483:0.708769:0.588483:0.000000:0.000000:0.000000
:@0.747107:0.582342:0.760749:0.582342:0.760749:0.561099:0.747107:0.561099:0.000000
:@0.744953:0.607003:0.758595:0.607003:0.758595:0.585760:0.744953:0.585760:0.000000
 :@0.768735:0.579459:0.772877:0.579459:0.772877:0.562962:0.768735:0.562962:0.000000
donde :@0.404236:0.596810:0.452956:0.596810:0.452956:0.580312:0.404236:0.580312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.426534:0.614000:0.432171:0.614000:0.432171:0.598220:0.426534:0.598220:0.000000
P + Q t  = P t  + Q t:@0.431623:0.614111:0.563651:0.614111:0.563651:0.598358:0.431623:0.598358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
)( ):@0.466614:0.614000:0.487247:0.614000:0.487247:0.598220:0.466614:0.598220:0.000000:0.000000:0.000000:0.000000
( ):@0.510982:0.614000:0.526525:0.614000:0.526525:0.598220:0.510982:0.598220:0.000000:0.000000:0.000000
( ) =   +   + (  +  )  + ... +(  +  ):@0.553197:0.614000:0.790818:0.614000:0.790818:0.598220:0.553197:0.598220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.584631:0.614111:0.593132:0.614111:0.593132:0.598358:0.584631:0.598358:0.000000
0:@0.592582:0.617135:0.597272:0.617135:0.597272:0.607935:0.592582:0.607935:0.000000
b:@0.613390:0.614111:0.622165:0.614111:0.622165:0.598358:0.613390:0.598358:0.000000
0:@0.621617:0.617135:0.626307:0.617135:0.626307:0.607935:0.621617:0.607935:0.000000
a:@0.647515:0.614111:0.656016:0.614111:0.656016:0.598358:0.647515:0.598358:0.000000
1:@0.655469:0.617135:0.660159:0.617135:0.660159:0.607935:0.655469:0.607935:0.000000
b t:@0.676277:0.614111:0.699330:0.614111:0.699330:0.598358:0.676277:0.598358:0.000000:0.000000:0.000000
1:@0.684504:0.617135:0.689194:0.617135:0.689194:0.607935:0.684504:0.607935:0.000000
a:@0.742566:0.614111:0.751068:0.614111:0.751068:0.598358:0.742566:0.598358:0.000000
n:@0.750518:0.617135:0.755836:0.617135:0.755836:0.607935:0.750518:0.607935:0.000000
b t:@0.771954:0.614111:0.795634:0.614111:0.795634:0.598358:0.771954:0.598358:0.000000:0.000000:0.000000
n:@0.780182:0.617135:0.785500:0.617135:0.785500:0.607935:0.780182:0.607935:0.000000
n:@0.795086:0.607924:0.800404:0.607924:0.800404:0.598724:0.795086:0.598724:0.000000
,:@0.800085:0.614161:0.802840:0.614161:0.802840:0.597663:0.800085:0.597663:0.000000
Pt:@0.615916:0.588835:0.638363:0.588835:0.638363:0.572683:0.615916:0.572683:0.000000:0.000000
a:@0.663417:0.588835:0.672222:0.588835:0.672222:0.572683:0.663417:0.572683:0.000000
a t:@0.694537:0.588835:0.712355:0.588835:0.712355:0.572683:0.694537:0.572683:0.000000:0.000000:0.000000
a t:@0.757834:0.588835:0.780640:0.588835:0.780640:0.572683:0.757834:0.572683:0.000000:0.000000:0.000000
t:@0.824986:0.588835:0.830541:0.588835:0.830541:0.572683:0.824986:0.572683:0.000000
Qt:@0.615916:0.613495:0.641915:0.613495:0.641915:0.597343:0.615916:0.597343:0.000000:0.000000
b:@0.666535:0.613495:0.675623:0.613495:0.675623:0.597343:0.666535:0.597343:0.000000
b t:@0.697390:0.613495:0.715378:0.613495:0.715378:0.597343:0.697390:0.597343:0.000000:0.000000:0.000000
b t:@0.760442:0.613495:0.780281:0.613495:0.780281:0.597343:0.760442:0.597343:0.000000:0.000000:0.000000
t:@0.822832:0.613495:0.828387:0.613495:0.828387:0.597343:0.822832:0.597343:0.000000
m:@0.766458:0.590964:0.774857:0.590964:0.774857:0.581615:0.766458:0.581615:0.000000
m:@0.781856:0.580909:0.790256:0.580909:0.790256:0.571561:0.781856:0.571561:0.000000
n:@0.769017:0.615629:0.774332:0.615629:0.774332:0.606280:0.769017:0.606280:0.000000
n:@0.781288:0.605574:0.786603:0.605574:0.786603:0.596225:0.781288:0.596225:0.000000
,:@0.793106:0.588721:0.795808:0.588721:0.795808:0.572541:0.793106:0.572541:0.000000
,:@0.863035:0.588721:0.865737:0.588721:0.865737:0.572541:0.863035:0.572541:0.000000
,:@0.790952:0.613382:0.793654:0.613382:0.793654:0.597201:0.790952:0.597201:0.000000
.:@0.860164:0.613382:0.862865:0.613382:0.862865:0.597201:0.860164:0.597201:0.000000
0:@0.672037:0.590898:0.676859:0.590898:0.676859:0.581533:0.672037:0.581533:0.000000
1:@0.702483:0.590898:0.707306:0.590898:0.707306:0.581533:0.702483:0.581533:0.000000
0:@0.675318:0.615563:0.680140:0.615563:0.680140:0.606198:0.675318:0.606198:0.000000
1:@0.705513:0.615563:0.710336:0.615563:0.710336:0.606198:0.705513:0.606198:0.000000
():@0.625827:0.591600:0.646082:0.591600:0.646082:0.570044:0.625827:0.570044:0.000000:0.000000
():@0.629360:0.616258:0.649615:0.616258:0.649615:0.594701:0.629360:0.594701:0.000000:0.000000
=:@0.649034:0.589345:0.659407:0.589345:0.659407:0.573378:0.649034:0.573378:0.000000
+:@0.681287:0.589345:0.691660:0.589345:0.691660:0.573378:0.681287:0.573378:0.000000
+⋅⋅⋅+:@0.715316:0.589345:0.754958:0.589345:0.754958:0.573378:0.715316:0.573378:0.000000:0.000000:0.000000:0.000000:0.000000
∀ ∈:@0.811642:0.589345:0.847712:0.589345:0.847712:0.573378:0.811642:0.573378:0.000000:0.000000:0.000000
=:@0.652586:0.614006:0.662959:0.614006:0.662959:0.598038:0.652586:0.598038:0.000000
+:@0.684575:0.614006:0.694948:0.614006:0.694948:0.598038:0.684575:0.598038:0.000000
+⋅⋅⋅+:@0.718359:0.614006:0.758000:0.614006:0.758000:0.598038:0.718359:0.598038:0.000000:0.000000:0.000000:0.000000:0.000000
∀ ∈:@0.809506:0.614006:0.845558:0.614006:0.845558:0.598038:0.809506:0.598038:0.000000:0.000000:0.000000
:@0.847844:0.591898:0.861486:0.591898:0.861486:0.570655:0.847844:0.570655:0.000000
:@0.845690:0.616558:0.859332:0.616558:0.859332:0.595315:0.845690:0.595315:0.000000
 :@0.869472:0.614161:0.873573:0.614161:0.873573:0.597663:0.869472:0.597663:0.000000
Nótese que la suma de polinomios se la hace para cada punto :@0.404236:0.631511:0.849314:0.631511:0.849314:0.615014:0.404236:0.615014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.849314:0.631627:0.854978:0.631627:0.854978:0.615158:0.849314:0.615158:0.000000
:@0.854978:0.631295:0.871026:0.631295:0.871026:0.616648:0.854978:0.616648:0.000000
:@0.871026:0.630543:0.884935:0.630543:0.884935:0.617096:0.871026:0.617096:0.000000
.:@0.884935:0.631511:0.887690:0.631511:0.887690:0.615014:0.884935:0.615014:0.000000
Caso II:@0.404236:0.659388:0.455615:0.659388:0.455615:0.642442:0.404236:0.642442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Si   >  . Podemos asumir que los coeficientes del polinomio :@0.455615:0.658926:0.895916:0.658926:0.895916:0.642428:0.455615:0.642428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m n:@0.477770:0.659041:0.520327:0.659041:0.520327:0.642573:0.477770:0.642573:0.000000:0.000000:0.000000
Q t:@0.404236:0.676392:0.427740:0.676392:0.427740:0.659923:0.404236:0.659923:0.000000:0.000000:0.000000
( ) de los términos de mayor grado que   hasta   inclusive son :@0.416123:0.676276:0.895963:0.676276:0.895963:0.659779:0.416123:0.659779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.717759:0.676392:0.727122:0.676392:0.727122:0.659923:0.717759:0.659923:0.000000
m:@0.777712:0.676392:0.792508:0.676392:0.792508:0.659923:0.777712:0.659923:0.000000
nulos, es decir que :@0.404236:0.693627:0.539532:0.693627:0.539532:0.677130:0.404236:0.677130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.539532:0.693738:0.548706:0.693738:0.548706:0.677269:0.539532:0.677269:0.000000
n+1:@0.548706:0.696899:0.565407:0.696899:0.565407:0.687281:0.548706:0.687281:0.000000:0.000000:0.000000
 = 0,:@0.565408:0.693622:0.595447:0.693622:0.595447:0.677124:0.565408:0.677124:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.595446:0.693622:0.599588:0.693622:0.599588:0.677124:0.595446:0.677124:0.000000
b:@0.599588:0.693738:0.608762:0.693738:0.608762:0.677269:0.599588:0.677269:0.000000
n+2:@0.608761:0.696899:0.625462:0.696899:0.625462:0.687281:0.608761:0.687281:0.000000:0.000000:0.000000
 = 0, ...,   = 0. Entonces, :@0.625462:0.693622:0.799375:0.693622:0.799375:0.677124:0.625462:0.677124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.676040:0.693738:0.685214:0.693738:0.685214:0.677269:0.676040:0.677269:0.000000
m:@0.685214:0.696899:0.693809:0.696899:0.693809:0.687281:0.685214:0.687281:0.000000
Q t:@0.477664:0.718216:0.501167:0.718216:0.501167:0.701747:0.477664:0.701747:0.000000:0.000000:0.000000
( ) =   + :@0.489550:0.718101:0.557902:0.718101:0.557902:0.701603:0.489550:0.701603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.526210:0.718051:0.534985:0.718051:0.534985:0.702298:0.526210:0.702298:0.000000
0:@0.534439:0.721075:0.539130:0.721075:0.539130:0.711875:0.534439:0.711875:0.000000
b t:@0.557901:0.718051:0.575864:0.718051:0.575864:0.702298:0.557901:0.702298:0.000000:0.000000:0.000000
1:@0.566128:0.721075:0.570818:0.721075:0.570818:0.711875:0.566128:0.711875:0.000000
 + ... + :@0.575317:0.717940:0.614923:0.717940:0.614923:0.702160:0.575317:0.702160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b t:@0.614376:0.718051:0.632965:0.718051:0.632965:0.702298:0.614376:0.702298:0.000000:0.000000:0.000000
n:@0.622602:0.721075:0.627920:0.721075:0.627920:0.711875:0.622602:0.711875:0.000000
n:@0.632416:0.711864:0.637733:0.711864:0.637733:0.702664:0.632416:0.702664:0.000000
 + 0:@0.637414:0.717940:0.661897:0.717940:0.661897:0.702160:0.637414:0.702160:0.000000:0.000000:0.000000:0.000000
t:@0.661350:0.718051:0.666713:0.718051:0.666713:0.702298:0.661350:0.702298:0.000000
n+1 :@0.666167:0.711864:0.683471:0.711864:0.683471:0.702664:0.666167:0.702664:0.000000:0.000000:0.000000:0.000000
+ ... + :@0.683152:0.717940:0.723762:0.717940:0.723762:0.702160:0.683152:0.702160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.723212:0.718101:0.731623:0.718101:0.731623:0.701603:0.723212:0.701603:0.000000
t:@0.731623:0.718051:0.736987:0.718051:0.736987:0.702298:0.731623:0.702298:0.000000
n:@0.736440:0.711864:0.741757:0.711864:0.741757:0.702664:0.736440:0.702664:0.000000
, :@0.741438:0.718101:0.748335:0.718101:0.748335:0.701603:0.741438:0.701603:0.000000:0.000000
 :@0.748335:0.717940:0.752258:0.717940:0.752258:0.702160:0.748335:0.702160:0.000000
Pt:@0.564788:0.692776:0.587235:0.692776:0.587235:0.676624:0.564788:0.676624:0.000000:0.000000
a:@0.612289:0.692776:0.621094:0.692776:0.621094:0.676624:0.612289:0.676624:0.000000
a t:@0.643409:0.692776:0.661226:0.692776:0.661226:0.676624:0.643409:0.676624:0.000000:0.000000:0.000000
a t:@0.706706:0.692776:0.729512:0.692776:0.729512:0.676624:0.706706:0.676624:0.000000:0.000000:0.000000
t:@0.773858:0.692776:0.779413:0.692776:0.779413:0.676624:0.773858:0.676624:0.000000
Qt:@0.564788:0.717436:0.590787:0.717436:0.590787:0.701284:0.564788:0.701284:0.000000:0.000000
b:@0.615407:0.717436:0.624495:0.717436:0.624495:0.701284:0.615407:0.701284:0.000000
b t:@0.646262:0.717436:0.664249:0.717436:0.664249:0.701284:0.646262:0.701284:0.000000:0.000000:0.000000
b t:@0.709313:0.717436:0.729153:0.717436:0.729153:0.701284:0.709313:0.701284:0.000000:0.000000:0.000000
t:@0.771704:0.717436:0.777259:0.717436:0.777259:0.701284:0.771704:0.701284:0.000000
m:@0.715330:0.694904:0.723729:0.694904:0.723729:0.685555:0.715330:0.685555:0.000000
m:@0.730728:0.684849:0.739127:0.684849:0.739127:0.675500:0.730728:0.675500:0.000000
n:@0.717889:0.719569:0.723204:0.719569:0.723204:0.710220:0.717889:0.710220:0.000000
n:@0.730159:0.709514:0.735474:0.709514:0.735474:0.700165:0.730159:0.700165:0.000000
,:@0.741978:0.692662:0.744680:0.692662:0.744680:0.676482:0.741978:0.676482:0.000000
,:@0.811907:0.692662:0.814609:0.692662:0.814609:0.676482:0.811907:0.676482:0.000000
,:@0.739824:0.717323:0.742526:0.717323:0.742526:0.701142:0.739824:0.701142:0.000000
.:@0.809035:0.717323:0.811737:0.717323:0.811737:0.701142:0.809035:0.701142:0.000000
0:@0.620907:0.694838:0.625730:0.694838:0.625730:0.685473:0.620907:0.685473:0.000000
1:@0.651353:0.694838:0.656176:0.694838:0.656176:0.685473:0.651353:0.685473:0.000000
0:@0.624188:0.719503:0.629010:0.719503:0.629010:0.710138:0.624188:0.710138:0.000000
1:@0.654383:0.719503:0.659206:0.719503:0.659206:0.710138:0.654383:0.710138:0.000000
():@0.574697:0.695541:0.594952:0.695541:0.594952:0.673985:0.574697:0.673985:0.000000:0.000000
():@0.578230:0.720199:0.598485:0.720199:0.598485:0.698642:0.578230:0.698642:0.000000:0.000000
=:@0.597904:0.693286:0.608277:0.693286:0.608277:0.677319:0.597904:0.677319:0.000000
+:@0.630157:0.693286:0.640530:0.693286:0.640530:0.677319:0.630157:0.677319:0.000000
+⋅⋅⋅+:@0.664186:0.693286:0.703828:0.693286:0.703828:0.677319:0.664186:0.677319:0.000000:0.000000:0.000000:0.000000:0.000000
∀ ∈:@0.760512:0.693286:0.796582:0.693286:0.796582:0.677319:0.760512:0.677319:0.000000:0.000000:0.000000
=:@0.601456:0.717947:0.611829:0.717947:0.611829:0.701979:0.601456:0.701979:0.000000
+:@0.633445:0.717947:0.643818:0.717947:0.643818:0.701979:0.633445:0.701979:0.000000
+⋅⋅⋅+:@0.667229:0.717947:0.706870:0.717947:0.706870:0.701979:0.667229:0.701979:0.000000:0.000000:0.000000:0.000000:0.000000
∀ ∈:@0.758376:0.717947:0.794428:0.717947:0.794428:0.701979:0.758376:0.701979:0.000000:0.000000:0.000000
:@0.796714:0.695839:0.810356:0.695839:0.810356:0.674596:0.796714:0.674596:0.000000
:@0.794560:0.720499:0.808202:0.720499:0.808202:0.699256:0.794560:0.699256:0.000000
La suma de los polinomios :@0.404236:0.746143:0.597715:0.746143:0.597715:0.729646:0.404236:0.729646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P(t) Q(t):@0.597619:0.746259:0.667263:0.746259:0.667263:0.729790:0.597619:0.729790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.622933:0.746143:0.638943:0.746143:0.638943:0.729646:0.622933:0.729646:0.000000:0.000000:0.000000
 se realiza del mismo modo que :@0.667263:0.746143:0.895864:0.746143:0.895864:0.729646:0.667263:0.729646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el caso I.:@0.404236:0.763494:0.484879:0.763494:0.484879:0.746996:0.404236:0.746996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicios resueltos:@0.404236:0.798572:0.534891:0.798572:0.534891:0.781785:0.404236:0.781785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.404236:0.815763:0.420592:0.815763:0.420592:0.799049:0.404236:0.799049:0.000000:0.000000:0.000000
  Sean :@0.420592:0.815546:0.465769:0.815546:0.465769:0.799049:0.420592:0.799049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P, Q:@0.465769:0.815662:0.491720:0.815662:0.491720:0.799193:0.465769:0.799193:0.000000:0.000000:0.000000:0.000000
 los polinomios siguientes::@0.491720:0.815546:0.677221:0.815546:0.677221:0.799049:0.491720:0.799049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pt:@0.541639:0.840986:0.564180:0.840986:0.564180:0.824766:0.541639:0.824766:0.000000:0.000000
t:@0.619336:0.840986:0.624914:0.840986:0.624914:0.824766:0.619336:0.824766:0.000000
t:@0.649389:0.840986:0.654968:0.840986:0.654968:0.824766:0.649389:0.824766:0.000000
t:@0.696102:0.840986:0.701680:0.840986:0.701680:0.824766:0.696102:0.824766:0.000000
Qt:@0.541639:0.865749:0.567747:0.865749:0.567747:0.849530:0.541639:0.849530:0.000000:0.000000
t:@0.634761:0.865749:0.640339:0.865749:0.640339:0.849530:0.634761:0.849530:0.000000
t:@0.663525:0.865749:0.669103:0.865749:0.669103:0.849530:0.663525:0.849530:0.000000
t:@0.713292:0.865749:0.718870:0.865749:0.718870:0.849530:0.713292:0.849530:0.000000
Pt:@0.541639:0.911876:0.564180:0.911876:0.564180:0.895657:0.541639:0.895657:0.000000:0.000000
t b:@0.619336:0.911876:0.645325:0.913711:0.645325:0.897559:0.619336:0.895657:0.000000:0.000000:0.000000
t b t:@0.649389:0.911876:0.685079:0.913711:0.685079:0.897559:0.649389:0.895657:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.687185:0.911876:0.692763:0.911876:0.692763:0.895657:0.687185:0.895657:0.000000
tb t:@0.724771:0.911876:0.749983:0.913711:0.749983:0.897559:0.724771:0.895657:0.000000:0.000000:0.000000:0.000000
Qt:@0.541639:0.936639:0.567747:0.936639:0.567747:0.920420:0.541639:0.920420:0.000000:0.000000
t:@0.635159:0.936639:0.640738:0.936639:0.640738:0.920420:0.635159:0.920420:0.000000
t:@0.665213:0.936639:0.670791:0.936639:0.670791:0.920420:0.665213:0.920420:0.000000
t:@0.703008:0.936639:0.708587:0.936639:0.708587:0.920420:0.703008:0.920420:0.000000
t:@0.731013:0.936639:0.736591:0.936639:0.736591:0.920420:0.731013:0.920420:0.000000
2–5:@0.588918:0.840872:0.619503:0.840872:0.619503:0.824624:0.588918:0.824624:0.000000:0.000000:0.000000
8 ,:@0.640791:0.840872:0.666803:0.840872:0.666803:0.824624:0.640791:0.824624:0.000000:0.000000:0.000000
,:@0.734310:0.840872:0.737023:0.840872:0.737023:0.824624:0.734310:0.824624:0.000000
–5 7:@0.592474:0.865637:0.634501:0.865637:0.634501:0.849389:0.592474:0.849389:0.000000:0.000000:0.000000:0.000000
,:@0.678405:0.865637:0.681118:0.865637:0.681118:0.849389:0.678405:0.849389:0.000000
.:@0.750751:0.865637:0.753464:0.865637:0.753464:0.849389:0.750751:0.849389:0.000000
2–5:@0.588918:0.911762:0.619503:0.911762:0.619503:0.895514:0.588918:0.895514:0.000000:0.000000:0.000000
8:@0.640791:0.911762:0.649159:0.911762:0.649159:0.895514:0.640791:0.895514:0.000000
0:@0.678567:0.911762:0.686935:0.911762:0.686935:0.895514:0.678567:0.895514:0.000000
0:@0.716154:0.911762:0.724521:0.911762:0.724521:0.895514:0.716154:0.895514:0.000000
–5 0:@0.592466:0.936525:0.634909:0.936525:0.634909:0.920278:0.592466:0.920278:0.000000:0.000000:0.000000:0.000000
7:@0.656596:0.936525:0.664963:0.936525:0.664963:0.920278:0.656596:0.920278:0.000000
0:@0.694391:0.936525:0.702759:0.936525:0.702759:0.920278:0.694391:0.920278:0.000000
.:@0.745183:0.936525:0.747896:0.936525:0.747896:0.920278:0.745183:0.920278:0.000000
2:@0.655995:0.832958:0.660838:0.832958:0.660838:0.823553:0.655995:0.823553:0.000000
2:@0.641356:0.857725:0.646199:0.857725:0.646199:0.848321:0.641356:0.848321:0.000000
4:@0.670337:0.857725:0.675180:0.857725:0.675180:0.848321:0.670337:0.848321:0.000000
2:@0.655995:0.903848:0.660838:0.903848:0.660838:0.894444:0.655995:0.894444:0.000000
3:@0.693783:0.903848:0.698626:0.903848:0.698626:0.894444:0.693783:0.894444:0.000000
4:@0.731572:0.903848:0.736415:0.903848:0.736415:0.894444:0.731572:0.894444:0.000000
2:@0.671819:0.928616:0.676662:0.928616:0.676662:0.919211:0.671819:0.919211:0.000000
3:@0.709608:0.928616:0.714451:0.928616:0.714451:0.919211:0.709608:0.919211:0.000000
4:@0.737809:0.928616:0.742653:0.928616:0.742653:0.919211:0.737809:0.919211:0.000000
():@0.551590:0.843763:0.571930:0.843763:0.571930:0.822117:0.551590:0.822117:0.000000:0.000000
():@0.555147:0.868528:0.575486:0.868528:0.575486:0.846882:0.555147:0.846882:0.000000:0.000000
():@0.551599:0.914646:0.571938:0.914646:0.571938:0.893000:0.551599:0.893000:0.000000:0.000000
():@0.555147:0.939406:0.575486:0.939406:0.575486:0.917760:0.555147:0.917760:0.000000:0.000000
=:@0.574895:0.841498:0.585311:0.841498:0.585311:0.825464:0.574895:0.825464:0.000000
+:@0.627906:0.841498:0.638323:0.841498:0.638323:0.825464:0.627906:0.825464:0.000000
∀∈:@0.682702:0.841498:0.718922:0.841498:0.718922:0.825464:0.682702:0.825464:0.000000:0.000000
=:@0.578451:0.866263:0.588868:0.866263:0.588868:0.850229:0.578451:0.850229:0.000000
+:@0.613248:0.866263:0.623665:0.866263:0.623665:0.850229:0.613248:0.850229:0.000000
+:@0.650626:0.866263:0.661042:0.866263:0.661042:0.850229:0.650626:0.850229:0.000000
∀ ∈:@0.699862:0.866263:0.736082:0.866263:0.736082:0.850229:0.699862:0.850229:0.000000:0.000000:0.000000
=:@0.574884:0.912386:0.585300:0.912386:0.585300:0.896352:0.574884:0.896352:0.000000
+ =:@0.627896:0.912386:0.632661:0.914222:0.632661:0.898254:0.627896:0.896352:0.000000:0.000000:0.000000
+ +⋅⋅⋅+:@0.665274:0.912386:0.727701:0.914222:0.727701:0.898254:0.665274:0.896352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.702860:0.912386:0.713276:0.912386:0.713276:0.896352:0.702860:0.896352:0.000000
=:@0.578451:0.937150:0.588868:0.937150:0.588868:0.921116:0.578451:0.921116:0.000000
+:@0.613248:0.937150:0.623665:0.937150:0.623665:0.921116:0.613248:0.921116:0.000000
+:@0.643720:0.937150:0.654136:0.937150:0.654136:0.921116:0.643720:0.921116:0.000000
+:@0.681097:0.937150:0.691514:0.937150:0.691514:0.921116:0.681097:0.921116:0.000000
+:@0.718114:0.937150:0.728531:0.937150:0.728531:0.921116:0.718114:0.921116:0.000000
:@0.719051:0.844061:0.732749:0.844061:0.732749:0.822730:0.719051:0.822730:0.000000
:@0.736218:0.868827:0.749917:0.868827:0.749917:0.847495:0.736218:0.847495:0.000000
Entonces, :@0.404236:0.887722:0.476383:0.887722:0.476383:0.871224:0.404236:0.871224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.455578:0.912201:0.461531:0.912201:0.461531:0.895703:0.455578:0.895703:0.000000
P + Q t  = P t  + Q t:@0.461531:0.912316:0.613091:0.912316:0.613091:0.895848:0.461531:0.895848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
)( ):@0.501372:0.912201:0.524894:0.912201:0.524894:0.895703:0.501372:0.895703:0.000000:0.000000:0.000000:0.000000
( ):@0.552848:0.912201:0.570418:0.912201:0.570418:0.895703:0.552848:0.895703:0.000000:0.000000:0.000000
( ) = –3 – 5  + 15  +    :@0.601474:0.912201:0.777610:0.912201:0.777610:0.895704:0.601474:0.895703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.684411:0.912316:0.690075:0.912316:0.690075:0.895848:0.684411:0.895848:0.000000
t:@0.726159:0.912316:0.731823:0.912316:0.731823:0.895848:0.726159:0.895848:0.000000
2:@0.731813:0.905848:0.736766:0.905848:0.736766:0.896230:0.731813:0.896230:0.000000
t ,:@0.755858:0.912317:0.769326:0.912317:0.769326:0.895848:0.755858:0.895848:0.000000:0.000000:0.000000
4:@0.761521:0.905848:0.766474:0.905848:0.766474:0.896230:0.761521:0.896230:0.000000
Pt:@0.585618:0.889050:0.608065:0.889050:0.608065:0.872899:0.585618:0.872899:0.000000:0.000000
a:@0.633119:0.889050:0.641924:0.889050:0.641924:0.872899:0.633119:0.872899:0.000000
a t:@0.664239:0.889050:0.682056:0.889050:0.682056:0.872899:0.664239:0.872899:0.000000:0.000000:0.000000
a t:@0.727536:0.889050:0.750342:0.889050:0.750342:0.872899:0.727536:0.872899:0.000000:0.000000:0.000000
t:@0.794687:0.889050:0.800243:0.889050:0.800243:0.872899:0.794687:0.872899:0.000000
Qt:@0.585618:0.913711:0.611617:0.913711:0.611617:0.897559:0.585618:0.897559:0.000000:0.000000
t:@0.792533:0.913711:0.798089:0.913711:0.798089:0.897559:0.792533:0.897559:0.000000
m:@0.736160:0.891179:0.744559:0.891179:0.744559:0.881830:0.736160:0.881830:0.000000
m:@0.751558:0.881124:0.759957:0.881124:0.759957:0.871775:0.751558:0.871775:0.000000
n:@0.738719:0.915843:0.744034:0.915843:0.744034:0.906495:0.738719:0.906495:0.000000
n:@0.750989:0.905789:0.756304:0.905789:0.756304:0.896440:0.750989:0.896440:0.000000
,:@0.762808:0.888937:0.765510:0.888937:0.765510:0.872757:0.762808:0.872757:0.000000
,:@0.832737:0.888937:0.835439:0.888937:0.835439:0.872757:0.832737:0.872757:0.000000
,:@0.760654:0.913598:0.763356:0.913598:0.763356:0.897417:0.760654:0.897417:0.000000
.:@0.829865:0.913598:0.832567:0.913598:0.832567:0.897417:0.829865:0.897417:0.000000
0:@0.641737:0.891113:0.646559:0.891113:0.646559:0.881748:0.641737:0.881748:0.000000
1:@0.672183:0.891113:0.677006:0.891113:0.677006:0.881748:0.672183:0.881748:0.000000
0:@0.645018:0.915778:0.649840:0.915778:0.649840:0.906413:0.645018:0.906413:0.000000
1:@0.675213:0.915778:0.680036:0.915778:0.680036:0.906413:0.675213:0.906413:0.000000
():@0.595527:0.891816:0.615782:0.891816:0.615782:0.870259:0.595527:0.870259:0.000000:0.000000
():@0.599060:0.916473:0.619315:0.916473:0.619315:0.894917:0.599060:0.894917:0.000000:0.000000
=:@0.618736:0.889561:0.629109:0.889561:0.629109:0.873593:0.618736:0.873593:0.000000
+:@0.650989:0.889561:0.661362:0.889561:0.661362:0.873593:0.650989:0.873593:0.000000
+⋅⋅⋅+:@0.685018:0.889561:0.724659:0.889561:0.724659:0.873593:0.685018:0.873593:0.000000:0.000000:0.000000:0.000000:0.000000
∀ ∈:@0.781343:0.889561:0.817413:0.889561:0.817413:0.873593:0.781343:0.873593:0.000000:0.000000:0.000000
+:@0.654276:0.914222:0.664650:0.914222:0.664650:0.898254:0.654276:0.898254:0.000000
∀ ∈:@0.779208:0.914222:0.815259:0.914222:0.815259:0.898254:0.779208:0.898254:0.000000:0.000000:0.000000
:@0.817545:0.892114:0.831187:0.892114:0.831187:0.870871:0.817545:0.870871:0.000000
:@0.815392:0.916774:0.829033:0.916774:0.829033:0.895531:0.815392:0.895531:0.000000
 :@0.840432:0.912201:0.844574:0.912201:0.844574:0.895704:0.840432:0.895704:0.000000
Competencia :@0.199644:0.104958:0.297267:0.104958:0.297267:0.089485:0.199644:0.089485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.199644:0.117526:0.283707:0.117526:0.283707:0.102053:0.199644:0.102053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema:@0.199880:0.142421:0.261004:0.142421:0.261004:0.126949:0.199880:0.126949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hay que tener presente que si  :@0.153337:0.157841:0.353527:0.157841:0.353527:0.142778:0.153337:0.142778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.153337:0.173789:0.161358:0.173789:0.161358:0.158752:0.153337:0.158752:0.000000
 es un polinomio de grado  :@0.161358:0.173683:0.340720:0.173683:0.340720:0.158620:0.161358:0.158620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≤  , para cada :@0.153337:0.189525:0.248550:0.189525:0.248550:0.174462:0.153337:0.174462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.166987:0.189631:0.175536:0.189631:0.175536:0.174594:0.166987:0.174594:0.000000
t:@0.248550:0.189631:0.253722:0.189631:0.253722:0.174594:0.248550:0.174594:0.000000
:@0.253722:0.189327:0.268374:0.189327:0.268374:0.175954:0.253722:0.175954:0.000000
:@0.268374:0.188640:0.281074:0.188640:0.281074:0.176363:0.268374:0.176363:0.000000
,  ( ):@0.281074:0.189525:0.311434:0.189525:0.311434:0.174462:0.281074:0.174462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.287371:0.189631:0.305999:0.189631:0.305999:0.174594:0.287371:0.174594:0.000000:0.000000:0.000000
:@0.311434:0.189327:0.326087:0.189327:0.326087:0.175954:0.311434:0.175954:0.000000
:@0.326087:0.188640:0.338787:0.188640:0.338787:0.176363:0.326087:0.176363:0.000000
, :@0.338787:0.189525:0.345084:0.189525:0.345084:0.174462:0.338787:0.174462:0.000000:0.000000
las operaciones de adición, :@0.153337:0.205367:0.330342:0.205367:0.330342:0.190304:0.153337:0.190304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producto y producto por esca-:@0.153337:0.221209:0.355425:0.221209:0.355425:0.206146:0.153337:0.206146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lares de polinomios heredan las :@0.153337:0.237051:0.360915:0.237051:0.360915:0.221988:0.153337:0.221988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedades de la adición y del :@0.153337:0.252893:0.358189:0.252893:0.358189:0.237830:0.153337:0.237830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producto en  .:@0.153337:0.268735:0.254021:0.268735:0.254021:0.253672:0.153337:0.253672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.238805:0.267850:0.251505:0.267850:0.251505:0.255573:0.238805:0.255573:0.000000
El conjunto de polinomios con :@0.153337:0.300419:0.357835:0.300419:0.357835:0.285356:0.153337:0.285356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coeficiente real y con la opera-:@0.153337:0.316261:0.351190:0.316261:0.351190:0.301198:0.153337:0.301198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción adición es un grupo abelia-:@0.153337:0.332103:0.360423:0.332103:0.360423:0.317040:0.153337:0.317040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no, es decir que se verifican las :@0.153337:0.347945:0.354424:0.347945:0.354424:0.332882:0.153337:0.332882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedades siguientes::@0.153337:0.363787:0.303871:0.363787:0.303871:0.348724:0.153337:0.348724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.153337:0.397174:0.168271:0.397174:0.168271:0.381913:0.153337:0.381913:0.000000:0.000000:0.000000
 :@0.168271:0.396976:0.172053:0.396976:0.172053:0.381913:0.168271:0.381913:0.000000
Conmutativa:@0.177084:0.397398:0.269816:0.397398:0.269816:0.381926:0.177084:0.381926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.269822:0.397300:0.272577:0.397300:0.272577:0.380803:0.269822:0.380803:0.000000
 para todo:@0.272576:0.396980:0.340718:0.396980:0.340718:0.381916:0.272576:0.381916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.340719:0.397085:0.348283:0.397085:0.348283:0.382049:0.340719:0.382049:0.000000:0.000000
P, Q :@0.177097:0.412927:0.204573:0.412927:0.204573:0.397891:0.177097:0.397891:0.000000:0.000000:0.000000:0.000000:0.000000
polinomios con coefi-:@0.204573:0.412822:0.347471:0.412822:0.347471:0.397758:0.204573:0.397758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciente real,:@0.177097:0.428664:0.245612:0.428664:0.245612:0.413600:0.177097:0.413600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153351:0.444611:0.157132:0.444611:0.157132:0.429574:0.153351:0.429574:0.000000
P + Q = Q + P.:@0.177097:0.444611:0.268389:0.444611:0.268389:0.429574:0.177097:0.429574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.153351:0.477893:0.168285:0.477893:0.168285:0.462631:0.153351:0.462631:0.000000:0.000000:0.000000
 :@0.168285:0.477695:0.172066:0.477695:0.172066:0.462631:0.168285:0.462631:0.000000
Asociativa  :@0.177097:0.478117:0.256603:0.478121:0.256603:0.462648:0.177097:0.462645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.250173:0.478019:0.252928:0.478019:0.252928:0.461521:0.250173:0.461521:0.000000
para todo:@0.256603:0.477698:0.320963:0.477698:0.320963:0.462635:0.256603:0.462635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153350:0.493646:0.157132:0.493646:0.157132:0.478609:0.153350:0.478609:0.000000
P, Q, R :@0.177096:0.493646:0.219295:0.493646:0.219295:0.478609:0.177096:0.478609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polinomios con coe-:@0.219295:0.493540:0.353890:0.493540:0.353890:0.478477:0.219295:0.478477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ficiente real,:@0.177096:0.509382:0.253896:0.509382:0.253896:0.494319:0.177096:0.494319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153350:0.525330:0.157132:0.525330:0.157132:0.510293:0.153350:0.510293:0.000000
P + (Q + R) = (P + Q) + R.:@0.177096:0.525330:0.342372:0.525330:0.342372:0.510293:0.177096:0.510293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.153350:0.557106:0.168284:0.557106:0.168284:0.541845:0.153350:0.541845:0.000000:0.000000:0.000000
  Existencia de un elemento :@0.168284:0.557331:0.363670:0.557331:0.363670:0.541858:0.168284:0.541858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
neutro (polinomio nulo):@0.177096:0.574678:0.349565:0.574678:0.349565:0.559205:0.177096:0.559205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.349553:0.574580:0.352308:0.574580:0.352308:0.558082:0.349553:0.558082:0.000000
 :@0.352309:0.574259:0.356091:0.574259:0.356091:0.559196:0.352309:0.559196:0.000000
existe 0 elemento de los :@0.177095:0.590101:0.336019:0.590101:0.336019:0.575038:0.177095:0.575038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polinomios con coeficiente :@0.177095:0.605943:0.358110:0.605943:0.358110:0.590880:0.177095:0.590880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
real tal que para todo :@0.177095:0.621785:0.323127:0.621785:0.323127:0.606722:0.177095:0.606722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.199944:0.621891:0.202547:0.621891:0.202547:0.606854:0.199944:0.606854:0.000000
P:@0.323127:0.621891:0.331148:0.621891:0.331148:0.606854:0.323127:0.606854:0.000000
 :@0.153348:0.637627:0.157130:0.637627:0.157130:0.622564:0.153348:0.622564:0.000000
P:@0.177095:0.637733:0.185116:0.637733:0.185116:0.622696:0.177095:0.622696:0.000000
 + 0 = 0 +   =  .:@0.185116:0.637627:0.288914:0.637627:0.288914:0.622564:0.185116:0.622564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P P:@0.252925:0.637733:0.286399:0.637733:0.286399:0.622696:0.252925:0.622696:0.000000:0.000000:0.000000
4. :@0.153348:0.669509:0.168282:0.669509:0.168282:0.654248:0.153348:0.654248:0.000000:0.000000:0.000000
 :@0.168282:0.669311:0.172064:0.669311:0.172064:0.654248:0.168282:0.654248:0.000000
Existencia de opuestos :@0.177095:0.669733:0.338304:0.669733:0.338304:0.654261:0.177095:0.654261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aditivos:@0.177095:0.687080:0.232433:0.687080:0.232433:0.671608:0.177095:0.671608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.232424:0.686982:0.235179:0.686982:0.235179:0.670485:0.232424:0.670485:0.000000
 para todo :@0.235179:0.686662:0.307103:0.686662:0.307103:0.671599:0.235179:0.671599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153351:0.702504:0.157132:0.702504:0.157132:0.687441:0.153351:0.687441:0.000000
P :@0.177097:0.702609:0.188900:0.702609:0.188900:0.687573:0.177097:0.687573:0.000000:0.000000
elemento de los polino-:@0.188900:0.702504:0.343655:0.702504:0.343655:0.687441:0.188900:0.687441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mios con coeficiente real, :@0.177097:0.718346:0.344834:0.718346:0.344834:0.703283:0.177097:0.703283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
existe  elemento de los :@0.177097:0.734188:0.339731:0.734188:0.339731:0.719125:0.177097:0.719125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.217183:0.734293:0.228036:0.734293:0.228036:0.719257:0.217183:0.719257:0.000000
 :@0.228036:0.733990:0.232434:0.733990:0.232434:0.720616:0.228036:0.720616:0.000000
polinomios con coeficiente :@0.177097:0.750030:0.358114:0.750030:0.358114:0.734967:0.177097:0.734967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
real tal que :@0.177097:0.765872:0.254986:0.765872:0.254986:0.750809:0.177097:0.750809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.199947:0.765977:0.202550:0.765977:0.202550:0.750941:0.199947:0.750941:0.000000
P + Q:@0.254986:0.765977:0.291362:0.765977:0.291362:0.750941:0.254986:0.750941:0.000000:0.000000:0.000000:0.000000:0.000000
 = 0.:@0.291362:0.765872:0.319066:0.765872:0.319066:0.750809:0.291362:0.750809:0.000000:0.000000:0.000000:0.000000:0.000000