131:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo::@0.095322:0.103887:0.158805:0.103887:0.158805:0.087249:0.095322:0.087249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinamos por comprensión, extensión y en forma gráfica el conjunto de los nú-:@0.095322:0.124052:0.711481:0.124052:0.711481:0.107663:0.095322:0.107663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
meros naturales pares mayores o iguales que 4 y menores que 16.:@0.095322:0.140648:0.576663:0.140648:0.576663:0.124259:0.095322:0.124259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por comprensión :@0.095322:0.160813:0.234430:0.160813:0.234430:0.143912:0.095322:0.143912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.276248:0.160813:0.280063:0.160813:0.280063:0.143912:0.276248:0.143912:0.000000
 :@0.336556:0.160813:0.340371:0.160813:0.340371:0.143912:0.336556:0.143912:0.000000
 :@0.396864:0.160813:0.400679:0.160813:0.400679:0.143912:0.396864:0.143912:0.000000
                 Representación gráfica:@0.457174:0.160813:0.704429:0.160813:0.704429:0.143912:0.457174:0.143912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A = {x /x :@0.095322:0.184532:0.160390:0.184532:0.160390:0.168143:0.095322:0.168143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈ :@0.160390:0.192347:0.175924:0.192347:0.175924:0.173348:0.160390:0.173348:0.000000:0.000000
:@0.175924:0.187547:0.189229:0.187547:0.189229:0.167133:0.175924:0.167133:0.000000
,   es par, 4 ≤   < 16}:@0.189229:0.184532:0.335635:0.184532:0.335635:0.168143:0.189229:0.168143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.196471:0.184532:0.203934:0.184532:0.203934:0.168170:0.196471:0.168170:0.000000
x:@0.286249:0.184532:0.293712:0.184532:0.293712:0.168170:0.286249:0.168170:0.000000
Se lee:   tal que  , pertenece a los números naturales:@0.095322:0.204696:0.480364:0.204696:0.480364:0.188307:0.095322:0.188307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.145961:0.204696:0.153424:0.204696:0.153424:0.188335:0.145961:0.188335:0.000000
x:@0.212208:0.204696:0.219672:0.204696:0.219672:0.188335:0.212208:0.188335:0.000000
pares mayores o igual a 4 y menor a 16.:@0.095322:0.221293:0.383307:0.221293:0.383307:0.204904:0.095322:0.204904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por extensión :@0.095322:0.241457:0.208189:0.241457:0.208189:0.224556:0.095322:0.224556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A = {4, 6, 8, 10, 12, 14} :@0.095322:0.265176:0.256103:0.265176:0.256103:0.248787:0.095322:0.248787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cardinalidad de un conjunto:@0.095328:0.290716:0.342268:0.290716:0.342268:0.272279:0.095328:0.272279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La cardinalidad de un conjunto se refiere al número de elementos distintos que con-:@0.095328:0.314127:0.711381:0.314127:0.711381:0.297738:0.095328:0.297738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene dicho conjunto. Se simboliza por n(A), donde A es el conjunto dado.:@0.095328:0.330723:0.634534:0.330723:0.634534:0.314334:0.095328:0.314334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos::@0.095328:0.350888:0.165685:0.350888:0.165685:0.334250:0.095328:0.334250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hallemos la cardinalidad de los siguientes conjuntos.:@0.095328:0.374607:0.481325:0.374607:0.481325:0.358218:0.095328:0.358218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.095328:0.395435:0.114051:0.395435:0.114051:0.378534:0.095328:0.378534:0.000000:0.000000:0.000000
a) a):@0.101403:0.395829:0.115802:0.397943:0.115802:0.381554:0.101403:0.379440:0.000000:0.000000:0.000000:0.000000:0.000000
es una letra de la palabra casa:@0.191499:0.395829:0.413829:0.395829:0.413829:0.379440:0.191499:0.379440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) b):@0.100827:0.418853:0.116945:0.420971:0.116945:0.404582:0.100827:0.402465:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.118628:0.395826:0.128542:0.395826:0.128542:0.379465:0.118628:0.379465:0.000000
x x x:@0.155170:0.395826:0.186601:0.397943:0.186601:0.381582:0.155170:0.379465:0.000000:0.000000:0.000000:0.000000:0.000000
E E:@0.119778:0.418853:0.129091:0.420968:0.129091:0.404607:0.119778:0.402492:0.000000:0.000000:0.000000
x x x:@0.154588:0.418853:0.186014:0.420968:0.186014:0.404607:0.154588:0.402492:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.234803:0.418853:0.243453:0.420968:0.243453:0.404607:0.234803:0.402492:0.000000:0.000000:0.000000
= =:@0.133388:0.395414:0.144693:0.397528:0.144693:0.380586:0.133388:0.378471:0.000000:0.000000:0.000000
′ ′:@0.378446:0.394589:0.384179:0.396699:0.384179:0.379756:0.378446:0.377647:0.000000:0.000000:0.000000
′ ′:@0.413108:0.394589:0.418841:0.396699:0.418841:0.379756:0.413108:0.377647:0.000000:0.000000:0.000000
{ {:@0.145534:0.397164:0.155567:0.399278:0.155567:0.377626:0.145534:0.375511:0.000000:0.000000:0.000000
} }:@0.416402:0.397164:0.426435:0.399278:0.426435:0.377626:0.416402:0.375511:0.000000:0.000000:0.000000
= =:@0.132814:0.418439:0.144117:0.420553:0.144117:0.403611:0.132814:0.401496:0.000000:0.000000:0.000000
∈ ∈:@0.187525:0.418439:0.201850:0.420553:0.201850:0.403611:0.187525:0.401496:0.000000:0.000000:0.000000
/ /:@0.166999:0.395829:0.174655:0.397943:0.174655:0.381554:0.166999:0.379440:0.000000:0.000000:0.000000
/ /:@0.166423:0.418853:0.174078:0.420968:0.174078:0.404579:0.166423:0.402465:0.000000:0.000000:0.000000
; 2 ; 2:@0.214648:0.418853:0.235184:0.420968:0.235184:0.404579:0.214648:0.402465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.201969:0.419725:0.215448:0.421840:0.215448:0.405091:0.201969:0.402976:0.000000:0.000000:0.000000
− −=:@0.246362:0.418439:0.280508:0.418439:0.280508:0.401496:0.246362:0.401496:0.000000:0.000000:0.000000:0.000000
{ {:@0.144959:0.420187:0.154991:0.422302:0.154991:0.400650:0.144959:0.398535:0.000000:0.000000:0.000000
} }:@0.291017:0.420187:0.301048:0.422302:0.301048:0.400650:0.291017:0.398535:0.000000:0.000000:0.000000
52:@0.258770:0.418853:0.292419:0.418853:0.292419:0.402465:0.258770:0.402465:0.000000:0.000000
b) :@0.095328:0.419823:0.115359:0.419823:0.115359:0.402922:0.095328:0.402922:0.000000:0.000000:0.000000
es una letra de la palabra casa:@0.192683:0.397943:0.415012:0.397943:0.415012:0.381554:0.192683:0.381554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.119820:0.397943:0.129734:0.397943:0.129734:0.381582:0.119820:0.381582:0.000000
x:@0.156362:0.397943:0.163825:0.397943:0.163825:0.381582:0.156362:0.381582:0.000000
x:@0.155775:0.420968:0.163238:0.420968:0.163238:0.404607:0.155775:0.404607:0.000000
− −=:@0.247549:0.420553:0.281696:0.420553:0.281696:0.403611:0.247549:0.403611:0.000000:0.000000:0.000000:0.000000
52:@0.259958:0.420968:0.293607:0.420968:0.293607:0.404579:0.259958:0.404579:0.000000:0.000000
Solución:@0.095325:0.443553:0.159103:0.443553:0.159103:0.426915:0.095325:0.426915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribimos los conjuntos dados por extensión y contamos sus elementos.:@0.095325:0.463718:0.633591:0.463718:0.633591:0.447329:0.095325:0.447329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)  :@0.095325:0.483882:0.117862:0.483882:0.117862:0.466982:0.095325:0.466982:0.000000:0.000000:0.000000:0.000000
C = {c, a, s} No repetimos la letra a, entonces,  n(C) = 3:@0.119060:0.483882:0.510295:0.483882:0.510295:0.467493:0.119060:0.467493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b)  :@0.095325:0.504047:0.119171:0.504047:0.119171:0.487146:0.095325:0.487146:0.000000:0.000000:0.000000:0.000000
E = { } No existe un número entero que sea solución para la ecuación dada, :@0.119060:0.504047:0.670045:0.504047:0.670045:0.487658:0.119060:0.487658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces, n(E) = 0:@0.119060:0.520643:0.250484:0.520643:0.250484:0.504254:0.119060:0.504254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tipos de conjuntos:@0.095328:0.542608:0.259125:0.542608:0.259125:0.524171:0.095328:0.524171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los conjuntos se clasifican de acuerdo con el número de elementos que poseen, así: :@0.095328:0.566018:0.715472:0.566018:0.715472:0.549629:0.095328:0.549629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto finito::@0.095328:0.586183:0.219936:0.586183:0.219936:0.569282:0.095328:0.569282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cuando se pueden contar sus elementos. Su cardinalidad es un nú-:@0.219936:0.586183:0.711456:0.586183:0.711456:0.569794:0.219936:0.569794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mero entero.:@0.095328:0.602779:0.189678:0.602779:0.189678:0.586390:0.095328:0.586390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto infinito::@0.095328:0.622944:0.240354:0.622944:0.240354:0.606043:0.095328:0.606043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cuando no es finito. No se pueden contar sus elementos, :@0.240354:0.622944:0.715564:0.622944:0.715564:0.606555:0.240354:0.606555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su cardinalidad no está definida.:@0.095328:0.639540:0.330760:0.639540:0.330760:0.623151:0.095328:0.623151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto unitario::@0.095328:0.659705:0.240870:0.659705:0.240870:0.642804:0.095328:0.642804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es aquel que tiene un único elemento. Su cardinalidad es uno.:@0.240870:0.659705:0.699806:0.659705:0.699806:0.643316:0.240870:0.643316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto vacío::@0.095328:0.679869:0.219475:0.679869:0.219475:0.662969:0.095328:0.662969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 llamado también nulo, no tiene elementos, su cardinalidad es cero.:@0.219475:0.679869:0.711458:0.679869:0.711458:0.663480:0.219475:0.663480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos::@0.095328:0.700034:0.165685:0.700034:0.165685:0.683396:0.095328:0.683396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinamos los siguientes conjuntos por extensión y escribimos su cardinalidad :@0.095328:0.720198:0.715509:0.720198:0.715509:0.703809:0.095328:0.703809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y qué tipo de conjunto es cada uno.:@0.095328:0.736795:0.358895:0.736795:0.358895:0.720406:0.095328:0.720406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.624890:0.194281:0.633883:0.194281:0.633883:0.177892:0.624890:0.177892:0.000000
A:@0.515558:0.214599:0.527278:0.214599:0.527278:0.197698:0.515558:0.197698:0.000000
6:@0.586430:0.212496:0.595423:0.212496:0.595423:0.196108:0.586430:0.196108:0.000000
10:@0.619324:0.223934:0.637309:0.223934:0.637309:0.207545:0.619324:0.207545:0.000000:0.000000
8:@0.658077:0.213561:0.667070:0.213561:0.667070:0.197172:0.658077:0.197172:0.000000
12:@0.586430:0.244569:0.604416:0.244569:0.604416:0.228180:0.586430:0.228180:0.000000:0.000000
14:@0.658077:0.244569:0.676062:0.244569:0.676062:0.228180:0.658077:0.228180:0.000000:0.000000
Comprensión:@0.160676:0.774369:0.258058:0.774369:0.258058:0.759005:0.160676:0.759005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Extensión:@0.355892:0.774369:0.427324:0.774369:0.427324:0.759005:0.355892:0.759005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cardinalidad:@0.486192:0.774369:0.578900:0.774369:0.578900:0.759005:0.486192:0.759005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tipo de :@0.632039:0.766825:0.689382:0.766825:0.689382:0.751461:0.632039:0.751461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto:@0.626376:0.781913:0.691560:0.781913:0.691560:0.766549:0.626376:0.766549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B = {x/x es un divisor de 6}:@0.121995:0.804129:0.296706:0.804129:0.296706:0.789230:0.121995:0.789230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B = {1, 2, 3, 6}:@0.348035:0.804129:0.435148:0.804129:0.435148:0.789230:0.348035:0.789230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.528442:0.804129:0.536617:0.804129:0.536617:0.789230:0.528442:0.789230:0.000000
finito:@0.641789:0.804129:0.676148:0.804129:0.676148:0.789230:0.641789:0.789230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C = {x/x es un número :@0.135246:0.826346:0.287120:0.826346:0.287120:0.811447:0.135246:0.811447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
natural par}:@0.171013:0.841434:0.247672:0.841434:0.247672:0.826535:0.171013:0.826535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C = {0, 2, 4, 6, 8,...}:@0.334282:0.833890:0.448901:0.833890:0.448901:0.818991:0.334282:0.818991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No definida:@0.493731:0.833890:0.571328:0.833890:0.571328:0.818991:0.493731:0.818991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
infinito:@0.635540:0.833890:0.682380:0.833890:0.682380:0.818991:0.635540:0.818991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.122255:0.866896:0.133791:0.866896:0.133791:0.850535:0.122255:0.850535:0.000000
x x:@0.159681:0.866896:0.189921:0.866896:0.189921:0.850535:0.159681:0.850535:0.000000:0.000000:0.000000
x:@0.230941:0.866896:0.238404:0.866896:0.238404:0.850535:0.230941:0.850535:0.000000
=:@0.137908:0.866482:0.148025:0.866482:0.148025:0.849539:0.137908:0.849539:0.000000
∈:@0.192620:0.866482:0.205759:0.866482:0.205759:0.849539:0.192620:0.849539:0.000000
−=:@0.242504:0.866482:0.276908:0.866482:0.276908:0.849539:0.242504:0.849539:0.000000:0.000000
{:@0.150054:0.868231:0.158899:0.868231:0.158899:0.846579:0.150054:0.846579:0.000000
}:@0.287432:0.868231:0.296277:0.868231:0.296277:0.846579:0.287432:0.846579:0.000000
/:@0.171517:0.866896:0.177985:0.866896:0.177985:0.850508:0.171517:0.850508:0.000000
;:@0.221198:0.866896:0.224404:0.866896:0.224404:0.850508:0.221198:0.850508:0.000000
:@0.207377:0.867768:0.220682:0.867768:0.220682:0.851019:0.207377:0.851019:0.000000
2 7:@0.254920:0.866896:0.288514:0.866896:0.288514:0.850508:0.254920:0.850508:0.000000:0.000000:0.000000
D = {9}:@0.369009:0.867525:0.414224:0.867525:0.414224:0.852626:0.369009:0.852626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.528475:0.867525:0.536650:0.867525:0.536650:0.852626:0.528475:0.852626:0.000000
unitario:@0.633178:0.867525:0.684809:0.867525:0.684809:0.852626:0.633178:0.852626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E = :@0.119315:0.898580:0.144443:0.898580:0.144443:0.883681:0.119315:0.883681:0.000000:0.000000:0.000000:0.000000
{x /x :@0.144442:0.898894:0.179675:0.898894:0.179675:0.882505:0.144442:0.882505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈ :@0.179675:0.906709:0.195210:0.906709:0.195210:0.887710:0.179675:0.887710:0.000000:0.000000
Z:@0.195210:0.901909:0.207501:0.901909:0.207501:0.881495:0.195210:0.881495:0.000000
;   + 3 = 0,5 }:@0.207501:0.898894:0.299418:0.898894:0.299418:0.882505:0.207501:0.882505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.214743:0.898894:0.222206:0.898894:0.222206:0.882532:0.214743:0.882532:0.000000
E = {  }:@0.370944:0.896345:0.412289:0.896345:0.412289:0.881446:0.370944:0.881446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.528467:0.896345:0.536642:0.896345:0.536642:0.881446:0.528467:0.881446:0.000000
vacío:@0.641462:0.896345:0.676525:0.896345:0.676525:0.881446:0.641462:0.881446:0.000000:0.000000:0.000000:0.000000:0.000000
El conjunto Universo :@0.755546:0.319935:0.897320:0.319935:0.897320:0.305036:0.755546:0.305036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es un conjunto referencial :@0.755546:0.335023:0.932416:0.335023:0.932416:0.320124:0.755546:0.320124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que contiene a un grupo :@0.755546:0.350111:0.925715:0.350111:0.925715:0.335212:0.755546:0.335212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de conjuntos dados. :@0.755546:0.365198:0.894572:0.365198:0.894572:0.350299:0.755546:0.350299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se simboliza por U.:@0.755546:0.380286:0.881572:0.380286:0.881572:0.365387:0.755546:0.365387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al conjunto vacío :@0.755546:0.398932:0.875776:0.398932:0.875776:0.384033:0.755546:0.384033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se lo simboliza también :@0.755546:0.414019:0.916452:0.414019:0.916452:0.399120:0.755546:0.399120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con el símbolo  . :@0.755546:0.429107:0.875297:0.429114:0.875297:0.414215:0.755546:0.414208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ø:@0.857677:0.429743:0.868713:0.429743:0.868713:0.411608:0.857677:0.411608:0.000000
    Comunicacional:@0.762144:0.287496:0.898205:0.287496:0.898205:0.270595:0.762144:0.270595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si tienes que desplazarte :@0.755539:0.541025:0.924567:0.541025:0.924567:0.526126:0.755539:0.526126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distancias cortas, camina :@0.755539:0.556113:0.924401:0.556113:0.924401:0.541214:0.755539:0.541214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o usa la bicicleta como :@0.755539:0.571201:0.911370:0.571201:0.911370:0.556302:0.755539:0.556302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
opción saludable y :@0.755539:0.586288:0.884884:0.586288:0.884884:0.571389:0.755539:0.571389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecológica.:@0.755539:0.601376:0.822984:0.601376:0.822984:0.586477:0.755539:0.586477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplica medidas de :@0.755539:0.620022:0.874598:0.620022:0.874598:0.605148:0.755539:0.605148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
seguridad, obedece las :@0.755539:0.635109:0.901618:0.635109:0.901618:0.620235:0.755539:0.620235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
señales de tránsito y ten :@0.755539:0.650197:0.908688:0.650197:0.908688:0.635323:0.755539:0.635323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
precauciones.:@0.755539:0.665284:0.842516:0.665284:0.842516:0.650411:0.755539:0.650411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Seguridad vial:@0.790141:0.508583:0.898697:0.508583:0.898697:0.491683:0.790141:0.491683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Refuerza lo aprendido en: :@0.755958:0.777201:0.930014:0.777201:0.930014:0.762302:0.755958:0.762302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/8mt24:@0.755958:0.792288:0.851111:0.792288:0.851111:0.777163:0.755958:0.777163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribe un ejemplo de cada :@0.755958:0.810934:0.930598:0.810934:0.930598:0.796060:0.755958:0.796060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tipo de conjunto. :@0.755958:0.826022:0.865835:0.826022:0.865835:0.811148:0.755958:0.811148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.807731:0.744758:0.858202:0.744758:0.858202:0.727858:0.807731:0.727858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando te sientas de :@0.755006:0.141917:0.898943:0.141917:0.898943:0.127018:0.755006:0.127018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
buen humor y con :@0.755006:0.157004:0.883112:0.157004:0.883112:0.142105:0.755006:0.142105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
optimismo, comparte :@0.755006:0.172092:0.903431:0.172092:0.903431:0.157193:0.755006:0.157193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tus emociones con tus :@0.755006:0.187179:0.909681:0.187179:0.909681:0.172280:0.755006:0.172280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compañeros.:@0.755006:0.202267:0.841715:0.202267:0.841715:0.187368:0.755006:0.187368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Socioemocional:@0.760255:0.109476:0.899027:0.109476:0.899027:0.092575:0.760255:0.092575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000