64:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
1. :@0.115209:0.734685:0.133950:0.734685:0.133950:0.717549:0.115209:0.717549:0.000000:0.000000:0.000000
Multiplica:@0.148452:0.734685:0.224522:0.734685:0.224522:0.718061:0.148452:0.718061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las siguientes expresiones algebraicas.:@0.224522:0.734685:0.507329:0.734685:0.507329:0.718296:0.224522:0.718296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.693447:0.236739:0.693447:0.236739:0.659500:0.175844:0.659500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reconoce funciones polinomiales de grado n, opera con funciones polinomiales de grado ≤4 y racionales de grado ≤3; emplea el :@0.256865:0.676193:0.877745:0.676193:0.877745:0.665764:0.256865:0.665764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
teorema de Hörner para factorizar polinomios. (I.3., I.4.) (Ref. I.M.5.3.3.):@0.256865:0.686754:0.576870:0.686754:0.576870:0.676325:0.256865:0.676325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para ampliar tus :@0.226823:0.409175:0.330102:0.409175:0.330102:0.394276:0.226823:0.394276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocimientos :@0.226823:0.424262:0.325277:0.424262:0.325277:0.409363:0.226823:0.409363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acerca de la :@0.226823:0.439350:0.304655:0.439350:0.304655:0.424451:0.226823:0.424451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicación :@0.226823:0.454438:0.320134:0.454438:0.320134:0.439539:0.226823:0.439539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de polinomios, :@0.226823:0.469525:0.324170:0.469525:0.324170:0.454626:0.226823:0.454626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingresa:@0.226823:0.484613:0.275204:0.484613:0.275204:0.469500:0.226823:0.469500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en el :@0.274785:0.484613:0.312477:0.484613:0.312477:0.469714:0.274785:0.469714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente enlace::@0.128286:0.499700:0.233591:0.499700:0.233591:0.484801:0.128286:0.484801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TIC:@0.166436:0.389742:0.186405:0.389742:0.186405:0.368016:0.166436:0.368016:0.000000:0.000000:0.000000
www.mayedu.ec/ctm11/p64:@0.142284:0.514998:0.332573:0.514998:0.332573:0.499873:0.142284:0.499873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.388955:0.394032:0.546077:0.394032:0.546077:0.375595:0.388955:0.375595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculemos:@0.388955:0.416393:0.477518:0.416393:0.477518:0.399769:0.388955:0.399769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.477518:0.416393:0.481554:0.416393:0.481554:0.400004:0.477518:0.400004:0.000000
PQ a:@0.490610:0.415136:0.550758:0.415136:0.550758:0.398774:0.490610:0.398774:0.000000:0.000000:0.000000:0.000000
PQa:@0.587760:0.415136:0.632486:0.415136:0.632486:0.398774:0.587760:0.398774:0.000000:0.000000:0.000000
(:@0.484170:0.418267:0.490307:0.418267:0.490307:0.398334:0.484170:0.398334:0.000000
)():@0.527457:0.418267:0.557512:0.418267:0.557512:0.398334:0.527457:0.398334:0.000000:0.000000:0.000000
( )():@0.581321:0.418267:0.639240:0.418267:0.639240:0.398334:0.581321:0.398334:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.502337:0.415813:0.512453:0.415813:0.512453:0.400240:0.502337:0.400240:0.000000
..:@0.558191:0.415136:0.564438:0.415136:0.564438:0.398747:0.558191:0.398747:0.000000:0.000000
y:@0.565359:0.415136:0.573467:0.415136:0.573467:0.398747:0.565359:0.398747:0.000000
..:@0.573744:0.415136:0.579991:0.415136:0.579991:0.398747:0.573744:0.398747:0.000000:0.000000
para :@0.642368:0.416394:0.678744:0.416394:0.678744:0.400005:0.642368:0.400005:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.710842:0.416007:0.724147:0.416007:0.724147:0.399258:0.710842:0.399258:0.000000
∈:@0.694349:0.415813:0.707488:0.415813:0.707488:0.400240:0.694349:0.400240:0.000000
.:@0.724184:0.415136:0.727390:0.415136:0.727390:0.398747:0.724184:0.398747:0.000000
a:@0.681726:0.415136:0.690995:0.415136:0.690995:0.398774:0.681726:0.398774:0.000000
:@0.587139:0.455354:0.600428:0.455354:0.600428:0.438625:0.587139:0.438625:0.000000
( ):@0.411807:0.446113:0.434980:0.446113:0.434980:0.426203:0.411807:0.426203:0.000000:0.000000:0.000000
( ):@0.414476:0.469967:0.437649:0.469967:0.437649:0.450056:0.414476:0.450056:0.000000:0.000000:0.000000
= +:@0.437639:0.443662:0.470531:0.443662:0.470531:0.428106:0.437639:0.428106:0.000000:0.000000:0.000000
=:@0.440308:0.467519:0.450413:0.467519:0.450413:0.451964:0.440308:0.451964:0.000000
+:@0.472261:0.467519:0.482367:0.467519:0.482367:0.451964:0.472261:0.451964:0.000000
+:@0.505559:0.467519:0.515664:0.467519:0.515664:0.451964:0.505559:0.451964:0.000000
⎧:@0.391586:0.440719:0.400678:0.440719:0.400678:0.425164:0.391586:0.425164:0.000000
⎨:@0.391586:0.455432:0.400678:0.455432:0.400678:0.439876:0.391586:0.439876:0.000000
⎪:@0.391586:0.444960:0.400678:0.444960:0.400678:0.429405:0.391586:0.429405:0.000000
⎩:@0.391586:0.470503:0.400678:0.470503:0.400678:0.454948:0.391586:0.454948:0.000000
⎪:@0.391586:0.467878:0.400678:0.467878:0.400678:0.452323:0.391586:0.452323:0.000000
∀ ∈:@0.545796:0.455155:0.583805:0.455155:0.583805:0.439600:0.545796:0.439600:0.000000:0.000000:0.000000
=:@0.618428:0.455155:0.628533:0.455155:0.628533:0.439600:0.618428:0.439600:0.000000
5 2:@0.450321:0.442985:0.481575:0.442985:0.481575:0.427333:0.450321:0.427333:0.000000:0.000000:0.000000
9:@0.484410:0.466842:0.493392:0.466842:0.493392:0.451191:0.484410:0.451191:0.000000
2:@0.517707:0.466842:0.526690:0.466842:0.526690:0.451191:0.517707:0.451191:0.000000
,:@0.601273:0.454478:0.604476:0.454478:0.604476:0.438826:0.601273:0.438826:0.000000
4:@0.631809:0.454478:0.640792:0.454478:0.640792:0.438826:0.631809:0.438826:0.000000
2:@0.491917:0.435333:0.497122:0.435333:0.497122:0.426262:0.491917:0.426262:0.000000
2:@0.463520:0.459191:0.468726:0.459191:0.468726:0.450120:0.463520:0.450120:0.000000
P x:@0.400720:0.442985:0.427152:0.442985:0.427152:0.426642:0.400720:0.426642:0.000000:0.000000:0.000000
x:@0.482813:0.442985:0.490268:0.442985:0.490268:0.426642:0.482813:0.426642:0.000000
Q x:@0.400720:0.466842:0.429821:0.466842:0.429821:0.450500:0.400720:0.450500:0.000000:0.000000:0.000000
x:@0.454412:0.466842:0.461866:0.466842:0.461866:0.450500:0.454412:0.450500:0.000000
x:@0.494980:0.466842:0.502434:0.466842:0.502434:0.450500:0.494980:0.450500:0.000000
x:@0.558795:0.454478:0.566250:0.454478:0.566250:0.438136:0.558795:0.438136:0.000000
a:@0.606155:0.454478:0.615414:0.454478:0.615414:0.438136:0.606155:0.438136:0.000000
Solución:@0.115891:0.549645:0.185105:0.549645:0.185105:0.532745:0.115891:0.532745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicación de polinomios:@0.115891:0.141978:0.525034:0.141978:0.525034:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.39. Realizar operaciones de suma, multiplicación y división entre funciones polinomiales, y multiplicación de números reales por polinomios, en ejercicios :@0.125388:0.069719:0.877666:0.069719:0.877666:0.059289:0.125388:0.059289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algebraicos de simplificación.:@0.125388:0.080280:0.262332:0.080280:0.262332:0.069851:0.125388:0.069851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
21:@0.048475:0.122645:0.082036:0.122645:0.082036:0.065614:0.048475:0.065614:0.000000:0.000000
Producto:@0.270019:0.172581:0.343380:0.172581:0.343380:0.155680:0.270019:0.155680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Potencia de polinomios:@0.595138:0.172581:0.781958:0.172581:0.781958:0.155680:0.595138:0.155680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La multiplicación de   con   se denota con:@0.122469:0.197365:0.439904:0.197365:0.439904:0.180976:0.122469:0.180976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.274755:0.197365:0.283527:0.197365:0.283527:0.181004:0.274755:0.181004:0.000000
Q:@0.319498:0.197365:0.331383:0.197365:0.331383:0.181004:0.319498:0.181004:0.000000
 PQ:@0.439904:0.197365:0.463878:0.197365:0.463878:0.181004:0.439904:0.181004:0.000000:0.000000:0.000000
 y :@0.463878:0.197365:0.480058:0.197365:0.480058:0.180976:0.463878:0.180976:0.000000:0.000000:0.000000
se define como::@0.122469:0.213961:0.239171:0.213961:0.239171:0.197572:0.122469:0.197572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
PQ t:@0.131531:0.238948:0.171574:0.238948:0.171574:0.222586:0.131531:0.222586:0.000000:0.000000:0.000000:0.000000
P t:@0.194516:0.238948:0.217016:0.238948:0.217016:0.222586:0.194516:0.222586:0.000000:0.000000:0.000000
Q t:@0.238485:0.238948:0.263657:0.238948:0.263657:0.222586:0.238485:0.222586:0.000000:0.000000:0.000000
( )():@0.125091:0.242079:0.179176:0.242079:0.179176:0.222146:0.125091:0.222146:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.205601:0.242079:0.224619:0.242079:0.224619:0.222146:0.205601:0.222146:0.000000:0.000000
():@0.252252:0.242079:0.271269:0.242079:0.271269:0.222146:0.252252:0.222146:0.000000:0.000000
=:@0.181840:0.239625:0.191957:0.239625:0.191957:0.224052:0.181840:0.224052:0.000000
×:@0.226342:0.239625:0.236459:0.239625:0.236459:0.224052:0.226342:0.224052:0.000000
Pt:@0.125091:0.265602:0.147591:0.265602:0.147591:0.249241:0.125091:0.249241:0.000000:0.000000
Qt:@0.169059:0.265602:0.194231:0.265602:0.194231:0.249241:0.169059:0.249241:0.000000:0.000000
a:@0.223974:0.265602:0.233243:0.265602:0.233243:0.249241:0.223974:0.249241:0.000000
at:@0.254342:0.265602:0.271443:0.265602:0.271443:0.249241:0.254342:0.249241:0.000000:0.000000
a t:@0.316425:0.265602:0.336198:0.265602:0.336198:0.249241:0.316425:0.249241:0.000000:0.000000:0.000000
b:@0.359030:0.265602:0.368299:0.265602:0.368299:0.249241:0.359030:0.249241:0.000000
bt:@0.388606:0.265602:0.405302:0.265602:0.405302:0.249241:0.388606:0.249241:0.000000:0.000000
bt:@0.449915:0.265602:0.472212:0.265602:0.472212:0.249241:0.449915:0.249241:0.000000:0.000000
n:@0.325543:0.267606:0.331054:0.267606:0.331054:0.258124:0.325543:0.258124:0.000000
n:@0.337846:0.257940:0.343357:0.257940:0.343357:0.248458:0.337846:0.248458:0.000000
m:@0.458409:0.267606:0.466889:0.267606:0.466889:0.258124:0.458409:0.258124:0.000000
m:@0.473638:0.257940:0.482118:0.257940:0.482118:0.248458:0.473638:0.248458:0.000000
:@0.284919:0.266474:0.169488:0.266474:0.169488:0.249725:0.284919:0.249725:0.000000
:@0.418777:0.266474:0.303347:0.266474:0.303347:0.249725:0.418777:0.249725:0.000000
(:@0.217177:0.270997:0.223314:0.270997:0.223314:0.246392:0.217177:0.246392:0.000000
)(:@0.345378:0.270997:0.358747:0.270997:0.358747:0.246392:0.345378:0.246392:0.000000:0.000000
):@0.484331:0.270997:0.490467:0.270997:0.490467:0.246392:0.484331:0.246392:0.000000
():@0.136189:0.268734:0.155207:0.268734:0.155207:0.248801:0.136189:0.248801:0.000000:0.000000
():@0.182830:0.268734:0.201847:0.268734:0.201847:0.248801:0.182830:0.248801:0.000000:0.000000
×:@0.156921:0.266280:0.167037:0.266280:0.167037:0.250707:0.156921:0.250707:0.000000
=:@0.204501:0.266280:0.214617:0.266280:0.214617:0.250707:0.204501:0.250707:0.000000
+:@0.241835:0.266280:0.251952:0.266280:0.251952:0.250707:0.241835:0.250707:0.000000
+:@0.274341:0.266280:0.284458:0.266280:0.284458:0.250707:0.274341:0.250707:0.000000
+:@0.303918:0.266280:0.314035:0.266280:0.314035:0.250707:0.303918:0.250707:0.000000
+:@0.376486:0.266280:0.386603:0.266280:0.386603:0.250707:0.376486:0.250707:0.000000
+:@0.408200:0.266280:0.418317:0.266280:0.418317:0.250707:0.408200:0.250707:0.000000
+:@0.437776:0.266280:0.447893:0.266280:0.447893:0.250707:0.437776:0.250707:0.000000
0:@0.232883:0.267606:0.238094:0.267606:0.238094:0.258108:0.232883:0.258108:0.000000
1:@0.262561:0.267606:0.267773:0.267606:0.267773:0.258108:0.262561:0.258108:0.000000
0:@0.367532:0.267606:0.372743:0.267606:0.372743:0.258108:0.367532:0.258108:0.000000
1:@0.396431:0.267606:0.401642:0.267606:0.401642:0.258108:0.396431:0.258108:0.000000
De forma general, si :@0.504327:0.200827:0.654031:0.200827:0.654031:0.184439:0.504327:0.184439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.685021:0.201699:0.698326:0.201699:0.698326:0.184950:0.685021:0.184950:0.000000
∈:@0.668530:0.201505:0.681669:0.201505:0.681669:0.185932:0.668530:0.185932:0.000000
, para todo :@0.699155:0.200827:0.781589:0.200827:0.781589:0.184439:0.699155:0.184439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.656643:0.200827:0.664217:0.200827:0.664217:0.184466:0.656643:0.184466:0.000000
:@0.809857:0.200441:0.823162:0.200441:0.823162:0.183693:0.809857:0.183693:0.000000
∈:@0.793366:0.200248:0.806505:0.200248:0.806505:0.184675:0.793366:0.184675:0.000000
,:@0.823993:0.199570:0.827199:0.199570:0.827199:0.183181:0.823993:0.183181:0.000000
t:@0.783784:0.199570:0.789164:0.199570:0.789164:0.183209:0.783784:0.183209:0.000000
P:@0.513383:0.227066:0.522155:0.227066:0.522155:0.210705:0.513383:0.210705:0.000000
t:@0.553021:0.227066:0.558402:0.227066:0.558402:0.210705:0.553021:0.210705:0.000000
P:@0.587775:0.227066:0.596547:0.227066:0.596547:0.210705:0.587775:0.210705:0.000000
t Pt:@0.618605:0.227066:0.655202:0.227066:0.655202:0.210705:0.618605:0.210705:0.000000:0.000000:0.000000:0.000000
k:@0.523644:0.219404:0.528033:0.219404:0.528033:0.209922:0.523644:0.209922:0.000000
k:@0.598038:0.219404:0.602428:0.219404:0.602428:0.209922:0.598038:0.209922:0.000000
( ):@0.506943:0.232461:0.545899:0.232461:0.545899:0.207855:0.506943:0.207855:0.000000:0.000000:0.000000
():@0.581336:0.232461:0.611502:0.232461:0.611502:0.207855:0.581336:0.207855:0.000000:0.000000
():@0.546992:0.230198:0.566009:0.230198:0.566009:0.210264:0.546992:0.210264:0.000000:0.000000
() ():@0.612594:0.230198:0.662808:0.230198:0.662808:0.210264:0.612594:0.210264:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.568666:0.227744:0.578783:0.227744:0.578783:0.212171:0.568666:0.212171:0.000000
+:@0.528722:0.219796:0.534585:0.219796:0.534585:0.210771:0.528722:0.210771:0.000000
.:@0.663474:0.227066:0.666681:0.227066:0.666681:0.210677:0.663474:0.210677:0.000000
1:@0.534009:0.219404:0.539220:0.219404:0.539220:0.209906:0.534009:0.209906:0.000000
Producto de números reales por polinomios:@0.323533:0.300358:0.671720:0.300358:0.671720:0.283457:0.323533:0.283457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El producto de   por   se nota   y se define del siguiente modo, para todo :@0.122469:0.326552:0.678702:0.326552:0.678702:0.310164:0.122469:0.310164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.234802:0.326552:0.244071:0.326552:0.244071:0.310191:0.234802:0.310191:0.000000
P:@0.277554:0.326552:0.286326:0.326552:0.286326:0.310191:0.277554:0.310191:0.000000
aP:@0.347985:0.326552:0.366025:0.326552:0.366025:0.310191:0.347985:0.310191:0.000000:0.000000
:@0.707677:0.329293:0.723446:0.329293:0.723446:0.309443:0.707677:0.309443:0.000000
∈:@0.692236:0.329063:0.707808:0.329063:0.707808:0.310607:0.692236:0.310607:0.000000
,:@0.724429:0.328260:0.728229:0.328260:0.728229:0.308836:0.724429:0.308836:0.000000
t:@0.681316:0.328260:0.687694:0.328260:0.687694:0.308869:0.681316:0.308869:0.000000
aP t:@0.368842:0.351530:0.406987:0.351530:0.406987:0.335169:0.368842:0.335169:0.000000:0.000000:0.000000:0.000000
aPt:@0.430298:0.351530:0.462012:0.351530:0.462012:0.335169:0.430298:0.335169:0.000000:0.000000:0.000000
aa:@0.485323:0.351530:0.503806:0.351530:0.503806:0.335169:0.485323:0.335169:0.000000:0.000000
aat:@0.524905:0.351530:0.551222:0.351530:0.551222:0.335169:0.524905:0.335169:0.000000:0.000000:0.000000
aat:@0.596204:0.351530:0.625189:0.351530:0.625189:0.335169:0.596204:0.335169:0.000000:0.000000:0.000000
n:@0.614526:0.353534:0.620036:0.353534:0.620036:0.344052:0.614526:0.344052:0.000000
n:@0.626829:0.343867:0.632339:0.343867:0.632339:0.334385:0.626829:0.334385:0.000000
:@0.564687:0.352401:0.583115:0.352401:0.583115:0.335653:0.564687:0.335653:0.000000
( )():@0.362035:0.354663:0.414609:0.354663:0.414609:0.334730:0.362035:0.334730:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.450617:0.354663:0.469634:0.354663:0.469634:0.334730:0.450617:0.334730:0.000000:0.000000
=:@0.417266:0.352208:0.427383:0.352208:0.427383:0.336635:0.417266:0.336635:0.000000
=:@0.472291:0.352208:0.482408:0.352208:0.482408:0.336635:0.472291:0.336635:0.000000
+:@0.512390:0.352208:0.522506:0.352208:0.522506:0.336635:0.512390:0.336635:0.000000
+:@0.554110:0.352208:0.564227:0.352208:0.564227:0.336635:0.554110:0.336635:0.000000
+:@0.583686:0.352208:0.593803:0.352208:0.593803:0.336635:0.583686:0.336635:0.000000
0:@0.503435:0.353534:0.508647:0.353534:0.508647:0.344036:0.503435:0.344036:0.000000
1:@0.542331:0.353534:0.547543:0.353534:0.547543:0.344036:0.542331:0.344036:0.000000
(:@0.269646:0.584780:0.275763:0.584780:0.275763:0.560250:0.269646:0.560250:0.000000
):@0.349139:0.584780:0.355256:0.584780:0.355256:0.560250:0.349139:0.560250:0.000000
(:@0.465521:0.584780:0.471639:0.584780:0.471639:0.560250:0.465521:0.560250:0.000000
)(:@0.520525:0.584780:0.534120:0.584780:0.534120:0.560250:0.520525:0.560250:0.000000:0.000000
):@0.607495:0.584780:0.613612:0.584780:0.613612:0.560250:0.607495:0.560250:0.000000
(:@0.118500:0.582525:0.124618:0.582525:0.124618:0.562653:0.118500:0.562653:0.000000
)():@0.161250:0.582525:0.191839:0.582525:0.191839:0.562653:0.161250:0.562653:0.000000:0.000000:0.000000
( )():@0.391039:0.582525:0.449405:0.582525:0.449405:0.562653:0.391039:0.562653:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.118500:0.607904:0.124618:0.607904:0.124618:0.588032:0.118500:0.588032:0.000000
)():@0.161250:0.607904:0.191839:0.607904:0.191839:0.588032:0.161250:0.588032:0.000000:0.000000:0.000000
( )():@0.396569:0.607904:0.454935:0.607904:0.454935:0.588032:0.396569:0.588032:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.118500:0.630865:0.124618:0.630865:0.124618:0.610992:0.118500:0.610992:0.000000
)():@0.161250:0.630865:0.191839:0.630865:0.191839:0.610992:0.161250:0.610992:0.000000:0.000000:0.000000
( )():@0.399288:0.630865:0.457654:0.630865:0.457654:0.610992:0.399288:0.610992:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.136402:0.580078:0.146488:0.580078:0.146488:0.564553:0.136402:0.564553:0.000000
= +:@0.194915:0.580078:0.227965:0.580078:0.227965:0.564553:0.194915:0.564553:0.000000:0.000000:0.000000
+:@0.257763:0.580078:0.267849:0.580078:0.267849:0.564553:0.257763:0.564553:0.000000
+:@0.295278:0.580078:0.305364:0.580078:0.305364:0.564553:0.295278:0.564553:0.000000
+:@0.328107:0.580078:0.338193:0.580078:0.338193:0.564553:0.328107:0.564553:0.000000
=:@0.452481:0.580078:0.462567:0.580078:0.462567:0.564553:0.452481:0.564553:0.000000
+:@0.481857:0.580078:0.491943:0.580078:0.491943:0.564553:0.481857:0.564553:0.000000
+:@0.553634:0.580078:0.563720:0.580078:0.563720:0.564553:0.553634:0.564553:0.000000
+:@0.586464:0.580078:0.596549:0.580078:0.596549:0.564553:0.586464:0.564553:0.000000
+:@0.136421:0.605462:0.146506:0.605462:0.146506:0.589937:0.136421:0.589937:0.000000
=:@0.194933:0.605462:0.205019:0.605462:0.205019:0.589937:0.194933:0.589937:0.000000
+:@0.235534:0.605462:0.245620:0.605462:0.245620:0.589937:0.235534:0.589937:0.000000
+:@0.268364:0.605462:0.278449:0.605462:0.278449:0.589937:0.268364:0.589937:0.000000
=:@0.458029:0.605462:0.468115:0.605462:0.468115:0.589937:0.458029:0.589937:0.000000
+:@0.499879:0.605462:0.509965:0.605462:0.509965:0.589937:0.499879:0.589937:0.000000
+:@0.547535:0.605462:0.557620:0.605462:0.557620:0.589937:0.547535:0.589937:0.000000
+:@0.587768:0.605462:0.597854:0.605462:0.597854:0.589937:0.587768:0.589937:0.000000
+:@0.629324:0.605462:0.639410:0.605462:0.639410:0.589937:0.629324:0.589937:0.000000
+:@0.136421:0.628419:0.146506:0.628419:0.146506:0.612894:0.136421:0.612894:0.000000
=:@0.194933:0.628419:0.205019:0.628419:0.205019:0.612894:0.194933:0.612894:0.000000
=:@0.460730:0.628419:0.470816:0.628419:0.470816:0.612894:0.460730:0.612894:0.000000
52:@0.207959:0.579403:0.238749:0.579403:0.238749:0.563064:0.207959:0.563064:0.000000:0.000000
9:@0.307182:0.579403:0.316148:0.579403:0.316148:0.563064:0.307182:0.563064:0.000000
2:@0.340012:0.579403:0.348977:0.579403:0.348977:0.563064:0.340012:0.563064:0.000000
52:@0.471955:0.579403:0.502745:0.579403:0.502745:0.563064:0.471955:0.563064:0.000000:0.000000
9:@0.565538:0.579403:0.574504:0.579403:0.574504:0.563064:0.565538:0.563064:0.000000
2:@0.598368:0.579403:0.607333:0.579403:0.607333:0.563064:0.598368:0.563064:0.000000
3:@0.207977:0.604787:0.216942:0.604787:0.216942:0.588448:0.207977:0.588448:0.000000
9:@0.247439:0.604787:0.256404:0.604787:0.256404:0.588448:0.247439:0.588448:0.000000
7:@0.279823:0.604785:0.288788:0.604785:0.288788:0.588446:0.279823:0.588446:0.000000
2:@0.471050:0.604785:0.480015:0.604785:0.480015:0.588446:0.471050:0.588446:0.000000
18:@0.510612:0.604785:0.528341:0.604785:0.528341:0.588446:0.510612:0.588446:0.000000:0.000000
9:@0.559407:0.604785:0.568372:0.604785:0.568372:0.588446:0.559407:0.588446:0.000000
45:@0.600375:0.604785:0.618113:0.604785:0.618113:0.588446:0.600375:0.588446:0.000000:0.000000
10:@0.640049:0.604785:0.657780:0.604785:0.657780:0.588446:0.640049:0.588446:0.000000:0.000000
4:@0.175862:0.627742:0.184828:0.627742:0.184828:0.611403:0.175862:0.611403:0.000000
91:@0.207957:0.627742:0.225688:0.627738:0.225688:0.611400:0.207957:0.611403:0.000000:0.000000
4:@0.441662:0.627738:0.450627:0.627738:0.450627:0.611400:0.441662:0.611400:0.000000
1 998:@0.472616:0.627738:0.510902:0.627738:0.510902:0.611400:0.472616:0.611400:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.481379:0.627738:0.484576:0.627738:0.484576:0.611400:0.481379:0.611400:0.000000
2:@0.249082:0.571764:0.254278:0.571764:0.254278:0.562295:0.249082:0.562295:0.000000
2:@0.286613:0.571764:0.291808:0.571764:0.291808:0.562295:0.286613:0.562295:0.000000
2:@0.513064:0.571764:0.518259:0.571764:0.518259:0.562295:0.513064:0.562295:0.000000
2:@0.544951:0.571764:0.550147:0.571764:0.550147:0.562295:0.544951:0.562295:0.000000
2:@0.226848:0.597147:0.232044:0.597147:0.232044:0.587678:0.226848:0.587678:0.000000
4:@0.490777:0.597147:0.495972:0.597147:0.495972:0.587678:0.490777:0.587678:0.000000
3:@0.539056:0.597147:0.544252:0.597147:0.544252:0.587678:0.539056:0.587678:0.000000
2:@0.579089:0.597147:0.584285:0.597147:0.584285:0.587678:0.579089:0.587678:0.000000
PQ x:@0.124920:0.579403:0.184039:0.579403:0.184039:0.563091:0.124920:0.563091:0.000000:0.000000:0.000000:0.000000
x:@0.240017:0.579403:0.247457:0.579403:0.247457:0.563091:0.240017:0.563091:0.000000
x:@0.277531:0.579403:0.284971:0.579403:0.284971:0.563091:0.277531:0.563091:0.000000
x:@0.317764:0.579403:0.325205:0.579403:0.325205:0.563091:0.317764:0.563091:0.000000
PQ x:@0.397459:0.579403:0.441587:0.579403:0.441587:0.563091:0.397459:0.563091:0.000000:0.000000:0.000000:0.000000
x:@0.503976:0.579403:0.511417:0.579403:0.511417:0.563091:0.503976:0.563091:0.000000
x:@0.535869:0.579403:0.543309:0.579403:0.543309:0.563091:0.535869:0.563091:0.000000
x:@0.576102:0.579403:0.583542:0.579403:0.583542:0.563091:0.576102:0.563091:0.000000
PQ x:@0.124920:0.604787:0.184039:0.604787:0.184039:0.588475:0.124920:0.588475:0.000000:0.000000:0.000000:0.000000
x:@0.217787:0.604787:0.225228:0.604787:0.225228:0.588475:0.217787:0.588475:0.000000
x:@0.258021:0.604787:0.265461:0.604787:0.265461:0.588475:0.258021:0.588475:0.000000
PQx:@0.403007:0.604787:0.447135:0.604787:0.447135:0.588475:0.403007:0.588475:0.000000:0.000000:0.000000
x:@0.481287:0.604787:0.488728:0.604787:0.488728:0.588475:0.481287:0.588475:0.000000
x:@0.529990:0.604787:0.537430:0.604787:0.537430:0.588475:0.529990:0.588475:0.000000
x:@0.570006:0.604785:0.577447:0.604785:0.577447:0.588474:0.570006:0.588474:0.000000
x:@0.618966:0.604785:0.626406:0.604785:0.626406:0.588474:0.618966:0.588474:0.000000
PQ:@0.124920:0.627738:0.160156:0.627738:0.160156:0.611427:0.124920:0.611427:0.000000:0.000000
PQ:@0.405708:0.627738:0.425953:0.627738:0.425953:0.611427:0.405708:0.611427:0.000000:0.000000
a) :@0.148451:0.767865:0.167173:0.767865:0.167173:0.750965:0.148451:0.750965:0.000000:0.000000:0.000000
(  + 3)(  – 1):@0.181694:0.767865:0.274090:0.767865:0.274090:0.751476:0.181694:0.751476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.186577:0.767865:0.195846:0.767865:0.195846:0.751504:0.186577:0.751504:0.000000
a:@0.233660:0.767865:0.242929:0.767865:0.242929:0.751504:0.233660:0.751504:0.000000
 :@0.148451:0.794060:0.152265:0.794060:0.152265:0.777159:0.148451:0.777159:0.000000
___________________________________:@0.181694:0.794060:0.487261:0.794060:0.487261:0.777159:0.181694:0.777159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.148451:0.826838:0.168481:0.826838:0.168481:0.809937:0.148451:0.809937:0.000000:0.000000:0.000000
(7  – 3)(4 + 2 ):@0.181694:0.826838:0.288464:0.826838:0.288464:0.810449:0.181694:0.810449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.195570:0.826838:0.203033:0.826838:0.203033:0.810476:0.195570:0.810476:0.000000
x:@0.276117:0.826838:0.283580:0.826838:0.283580:0.810476:0.276117:0.810476:0.000000
 :@0.148451:0.853032:0.152265:0.853032:0.152265:0.836132:0.148451:0.836132:0.000000
___________________________________:@0.181694:0.853032:0.487261:0.853032:0.487261:0.836132:0.181694:0.836132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.148451:0.885810:0.166086:0.885810:0.166086:0.868909:0.148451:0.868909:0.000000:0.000000:0.000000
(6  – 5 )(–  +  ):@0.181694:0.885810:0.313046:0.885810:0.313046:0.869421:0.181694:0.869421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.195570:0.885810:0.210202:0.885810:0.210202:0.869449:0.195570:0.869449:0.000000
n:@0.236479:0.885810:0.245988:0.885810:0.245988:0.869449:0.236479:0.869449:0.000000
n:@0.264968:0.885810:0.274477:0.885810:0.274477:0.869449:0.264968:0.869449:0.000000
m:@0.293531:0.885810:0.308163:0.885810:0.308163:0.869449:0.293531:0.869449:0.000000
 :@0.148451:0.912005:0.152265:0.912005:0.152265:0.895104:0.148451:0.895104:0.000000
___________________________________:@0.181694:0.912005:0.487261:0.912005:0.487261:0.895104:0.181694:0.895104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.540922:0.767865:0.560990:0.767865:0.560990:0.750965:0.540922:0.750965:0.000000:0.000000:0.000000
(–7  – 3)(–11 + 2 ):@0.574166:0.767865:0.708393:0.767865:0.708393:0.751476:0.574166:0.751476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.597256:0.767865:0.604737:0.767865:0.604737:0.751504:0.597256:0.751504:0.000000
y:@0.696028:0.767865:0.703509:0.767865:0.703509:0.751504:0.696028:0.751504:0.000000
 :@0.540922:0.794060:0.544737:0.794060:0.544737:0.777159:0.540922:0.777159:0.000000
___________________________________:@0.574166:0.794060:0.879733:0.794060:0.879733:0.777159:0.574166:0.777159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e) :@0.540922:0.856075:0.559792:0.856075:0.559792:0.839174:0.540922:0.839174:0.000000:0.000000:0.000000
x:@0.585413:0.856569:0.592877:0.856569:0.592877:0.841176:0.585413:0.841176:0.000000
y:@0.622844:0.856569:0.630325:0.856569:0.630325:0.841176:0.622844:0.841176:0.000000
y:@0.662264:0.856569:0.669746:0.856569:0.669746:0.841176:0.662264:0.841176:0.000000
x:@0.698917:0.856569:0.706380:0.856569:0.706380:0.841176:0.698917:0.841176:0.000000
⎛:@0.576357:0.847621:0.583433:0.847621:0.583433:0.832048:0.576357:0.832048:0.000000
⎝:@0.576357:0.867772:0.583433:0.867772:0.583433:0.852199:0.576357:0.852199:0.000000
⎜:@0.576357:0.858505:0.583433:0.858505:0.583433:0.842932:0.576357:0.842932:0.000000
⎞⎛:@0.632377:0.847621:0.646677:0.847621:0.646677:0.832048:0.632377:0.832048:0.000000:0.000000
⎠⎝:@0.632377:0.867772:0.646677:0.867772:0.646677:0.852199:0.632377:0.852199:0.000000:0.000000
⎟⎜:@0.632377:0.858505:0.646677:0.858505:0.646677:0.842932:0.632377:0.842932:0.000000:0.000000
+:@0.672844:0.857247:0.682961:0.857247:0.682961:0.841674:0.672844:0.841674:0.000000
⎞:@0.708446:0.847621:0.715523:0.847621:0.715523:0.832048:0.708446:0.832048:0.000000
⎠:@0.708446:0.867772:0.715523:0.867772:0.715523:0.852199:0.708446:0.852199:0.000000
⎟:@0.708446:0.858505:0.715523:0.858505:0.715523:0.842932:0.708446:0.842932:0.000000
–:@0.596775:0.856569:0.605989:0.856569:0.605989:0.840899:0.596775:0.840899:0.000000
2:@0.609969:0.848050:0.618962:0.848050:0.618962:0.832380:0.609969:0.832380:0.000000
3:@0.610172:0.867495:0.619164:0.867495:0.619164:0.851825:0.610172:0.851825:0.000000
5:@0.649220:0.848050:0.658213:0.848050:0.658213:0.832380:0.649220:0.832380:0.000000
6:@0.649017:0.867495:0.658010:0.867495:0.658010:0.851825:0.649017:0.851825:0.000000
1:@0.687033:0.848050:0.696026:0.848050:0.696026:0.832380:0.687033:0.832380:0.000000
3:@0.686462:0.867495:0.695455:0.867495:0.695455:0.851825:0.686462:0.851825:0.000000
 :@0.540917:0.912535:0.544732:0.912535:0.544732:0.895635:0.540917:0.895635:0.000000
___________________________________:@0.574161:0.912535:0.879728:0.912535:0.879728:0.895635:0.574161:0.895635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 1464384092.:@0.895539:0.545494:0.895539:0.453374:0.881643:0.453374:0.881643:0.545494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000