140:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.120102:0.967458:0.179272:0.967458:0.179272:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El  condicional  y el  bicondicional  son  operaciones  fundamentales  en la lógica :@0.287490:0.150300:0.907698:0.150300:0.907698:0.133911:0.287490:0.133911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática y en la teoría de proposiciones. Mediante el condicional se representan :@0.287490:0.166897:0.907741:0.166897:0.907741:0.150508:0.287490:0.150508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relaciones de implicación o secuencia lógica entre proposiciones; en cambio, el :@0.287490:0.183493:0.907726:0.183493:0.907726:0.167104:0.287490:0.167104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bicondicional se utiliza para expresar una relación de equivalencia entre dos :@0.287490:0.200089:0.907652:0.200089:0.907652:0.183700:0.287490:0.183700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proposiciones en los dos sentidos. :@0.287490:0.216686:0.542175:0.216686:0.542175:0.200297:0.287490:0.200297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Condicional ( :@0.296992:0.251223:0.406202:0.251223:0.406202:0.234322:0.296992:0.234322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.428370:0.251223:0.433916:0.251223:0.433916:0.234322:0.428370:0.234322:0.000000
. Una implicación o proposición condicional está formada por :@0.433916:0.251223:0.898182:0.251223:0.898182:0.234834:0.433916:0.234834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos proposiciones de esta manera :@0.296999:0.267819:0.549808:0.267819:0.549808:0.251430:0.296999:0.251430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.549181:0.267819:0.558450:0.267819:0.558450:0.252426:0.549181:0.252426:0.000000
→:@0.561878:0.267404:0.580066:0.267404:0.580066:0.250462:0.561878:0.250462:0.000000
q:@0.583475:0.267819:0.592744:0.267819:0.592744:0.252426:0.583475:0.252426:0.000000
. Se lee “Si  , entonces  ”, y es falsa cuando :@0.592744:0.267819:0.898217:0.267819:0.898217:0.251430:0.592744:0.251430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.665165:0.267819:0.674434:0.267819:0.674434:0.252426:0.665165:0.252426:0.000000
q:@0.752602:0.267819:0.761871:0.267819:0.761871:0.252426:0.752602:0.252426:0.000000
la primera proposición es verdadera y la segunda es falsa, en el resto de casos es :@0.296999:0.284415:0.898219:0.284415:0.898219:0.268026:0.296999:0.268026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verdadera.:@0.296999:0.301012:0.373732:0.301012:0.373732:0.284623:0.296999:0.284623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.287509:0.338990:0.347104:0.338990:0.347104:0.322352:0.287509:0.322352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analizamos el siguiente enunciado:  “Si se sigue trabajando en la conectividad, :@0.287509:0.362709:0.907673:0.362709:0.907673:0.346320:0.287509:0.346320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces la cobertura de Internet será mayor”. Las proposiciones son::@0.287509:0.379305:0.794022:0.379305:0.794022:0.362916:0.287509:0.362916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.287509:0.403024:0.296778:0.403024:0.296778:0.387631:0.287509:0.387631:0.000000
: Se sigue trabajando en la conectividad.:@0.296778:0.403024:0.590785:0.403024:0.590785:0.386635:0.296778:0.386635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.287509:0.426743:0.296778:0.426743:0.296778:0.411350:0.287509:0.411350:0.000000
: La cobertura de Internet será mayor.:@0.296778:0.426743:0.569299:0.426743:0.569299:0.410354:0.296778:0.410354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De tal manera que el enunciado se puede expresar como: :@0.287509:0.450462:0.714820:0.450462:0.714820:0.434073:0.287509:0.434073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.714820:0.450462:0.724089:0.450462:0.724089:0.435069:0.714820:0.435069:0.000000
q (Tabla 1):@0.748268:0.450486:0.822071:0.450486:0.822071:0.435093:0.748268:0.435093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.822071:0.450486:0.825278:0.450486:0.825278:0.434097:0.822071:0.434097:0.000000
En todos los casos resulta la proposición verdadera, excepto si se trabaja en la :@0.287504:0.474205:0.907649:0.474205:0.907649:0.457816:0.287504:0.457816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conectividad y la cobertura de Internet no mejora.:@0.287504:0.490801:0.655922:0.490801:0.655922:0.474412:0.287504:0.474412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Bicondicional ( :@0.296992:0.525343:0.419195:0.525343:0.419195:0.508442:0.296992:0.508442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.441530:0.525343:0.447077:0.525343:0.447077:0.508442:0.441530:0.508442:0.000000
. Es una doble implicación o proposición bicondicional. Está :@0.447077:0.525343:0.898130:0.525343:0.898130:0.508954:0.447077:0.508954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
formada por dos proposiciones de esta manera :@0.296984:0.541939:0.649226:0.541939:0.649226:0.525551:0.296984:0.525551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.649505:0.541939:0.658774:0.541939:0.658774:0.526546:0.649505:0.526546:0.000000
↔:@0.663104:0.541525:0.682306:0.541525:0.682306:0.524582:0.663104:0.524582:0.000000
q:@0.686636:0.541939:0.695905:0.541939:0.695905:0.526546:0.686636:0.526546:0.000000
. Se lee “  si y solo si  ”, y es :@0.695905:0.541939:0.898222:0.541939:0.898222:0.525551:0.695905:0.525551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.755224:0.541939:0.764493:0.541939:0.764493:0.526546:0.755224:0.526546:0.000000
q:@0.846063:0.541939:0.855332:0.541939:0.855332:0.526546:0.846063:0.526546:0.000000
verdadera cuando   es verdadera si y solo si   también es verdadera. O bien   es :@0.297002:0.558536:0.898167:0.558536:0.898167:0.542147:0.297002:0.542147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.435965:0.558536:0.445234:0.558536:0.445234:0.543143:0.435965:0.543143:0.000000
q:@0.627281:0.558536:0.636550:0.558536:0.636550:0.543143:0.627281:0.543143:0.000000
p:@0.864371:0.558536:0.873640:0.558536:0.873640:0.543143:0.864371:0.543143:0.000000
falsa si y solo si   también lo es.:@0.297002:0.575132:0.525354:0.575132:0.525354:0.558743:0.297002:0.558743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.409466:0.575132:0.418735:0.575132:0.418735:0.559739:0.409466:0.559739:0.000000
Ejemplo:@0.287512:0.613110:0.347107:0.613110:0.347107:0.596472:0.287512:0.596472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el siguiente enunciado: “Una persona puede comprar un carro, si y solo si, es :@0.287512:0.636829:0.907744:0.636829:0.907744:0.620440:0.287512:0.620440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor de edad”, las proposiciones son::@0.287512:0.653426:0.569379:0.653426:0.569379:0.637037:0.287512:0.637037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.287512:0.677145:0.296781:0.677145:0.296781:0.661751:0.287512:0.661751:0.000000
: Una persona puede comprar un carro.:@0.296781:0.677145:0.583548:0.677145:0.583548:0.660756:0.296781:0.660756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.287512:0.700864:0.296781:0.700864:0.296781:0.685470:0.287512:0.685470:0.000000
: Es mayor de edad.:@0.296781:0.700864:0.437474:0.700864:0.437474:0.684475:0.296781:0.684475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tenemos:@0.287512:0.724583:0.354386:0.724583:0.354386:0.708194:0.287512:0.708194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 p:@0.354386:0.724583:0.366972:0.724583:0.366972:0.709189:0.354386:0.709189:0.000000:0.000000
q:@0.391131:0.724606:0.400400:0.724606:0.400400:0.709213:0.391131:0.709213:0.000000
, y su tabla de verdad esta en la tabla 2.:@0.400400:0.724606:0.684644:0.724606:0.684644:0.708218:0.400400:0.708218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando  :  , significa que puede comprar el carro, y  :  significa que es mayor de :@0.287494:0.748325:0.907731:0.748325:0.907731:0.731937:0.287494:0.731937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p V:@0.350922:0.748325:0.377715:0.748325:0.377715:0.732932:0.350922:0.732932:0.000000:0.000000:0.000000
q  V:@0.682195:0.748325:0.708068:0.748325:0.708068:0.732932:0.682195:0.732932:0.000000:0.000000:0.000000:0.000000
edad. Entonces, si :   y  :  , la respuesta es verdadera.:@0.287494:0.764922:0.683205:0.764922:0.683205:0.748533:0.287494:0.748533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 p V q V:@0.417407:0.764922:0.488169:0.764922:0.488169:0.749529:0.417407:0.749529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si  :   y  :  , significa que la persona puede comprar el carro pero no es mayor de :@0.287494:0.788641:0.907654:0.788641:0.907654:0.772252:0.287494:0.772252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p V:@0.305147:0.788641:0.331996:0.788641:0.331996:0.773248:0.305147:0.773248:0.000000:0.000000:0.000000
q F:@0.350627:0.788641:0.376407:0.788641:0.376407:0.773248:0.350627:0.773248:0.000000:0.000000:0.000000
edad, por lo tanto el enunciado es falso. :@0.287475:0.805237:0.582607:0.805237:0.582607:0.788848:0.287475:0.788848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si  :   y  :  , significa que la persona no puede comprar el carro aunque sea mayor :@0.287475:0.828956:0.907674:0.828956:0.907674:0.812567:0.287475:0.812567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p F q V:@0.304742:0.828956:0.374435:0.828956:0.374435:0.813563:0.304742:0.813563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de edad, por lo tanto el enunciado es falso.:@0.287475:0.845553:0.601569:0.845553:0.601569:0.829164:0.287475:0.829164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si  :  y  :  , se interpreta que no puede comprar el carro y tampoco es mayor de :@0.287475:0.869272:0.907582:0.869272:0.907582:0.852883:0.287475:0.852883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p F  q F:@0.305369:0.869272:0.375523:0.869272:0.375523:0.853878:0.305369:0.853878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
edad, por lo tanto, el enunciado es verdadero.:@0.287457:0.885868:0.622412:0.885868:0.622412:0.869479:0.287457:0.869479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Condicional, bicondicional :@0.286308:0.063945:0.756152:0.063945:0.756152:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y negación:@0.286308:0.094120:0.475958:0.094120:0.475958:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
Tabla 1:@0.222496:0.667452:0.259003:0.667452:0.259003:0.656257:0.222496:0.656257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tabla para el :@0.119792:0.532941:0.214609:0.532941:0.214609:0.517577:0.119792:0.517577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
condicional:@0.123427:0.548029:0.207508:0.548029:0.207508:0.532664:0.123427:0.532664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.099019:0.571716:0.108434:0.571716:0.108434:0.556163:0.099019:0.556163:0.000000
q:@0.160768:0.571716:0.170150:0.571716:0.170150:0.556163:0.160768:0.556163:0.000000
p   q:@0.206653:0.571716:0.247742:0.571714:0.247742:0.556161:0.206653:0.556163:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.099467:0.593301:0.107993:0.593301:0.107993:0.578402:0.099467:0.578402:0.000000
V:@0.161199:0.593301:0.169726:0.593301:0.169726:0.578402:0.161199:0.578402:0.000000
V:@0.222932:0.593301:0.231459:0.593301:0.231459:0.578402:0.222932:0.578402:0.000000
V:@0.099467:0.612790:0.107993:0.612790:0.107993:0.597891:0.099467:0.597891:0.000000
F:@0.161601:0.612790:0.169341:0.612790:0.169341:0.597891:0.161601:0.597891:0.000000
F:@0.223334:0.612790:0.231073:0.612790:0.231073:0.597891:0.223334:0.597891:0.000000
F:@0.099869:0.632278:0.107608:0.632278:0.107608:0.617379:0.099869:0.617379:0.000000
V:@0.161216:0.632278:0.169743:0.632278:0.169743:0.617379:0.161216:0.617379:0.000000
V:@0.222948:0.632278:0.231475:0.632278:0.231475:0.617379:0.222948:0.617379:0.000000
F:@0.099869:0.651766:0.107608:0.651766:0.107608:0.636867:0.099869:0.636867:0.000000
F:@0.161601:0.651766:0.169341:0.651766:0.169341:0.636867:0.161601:0.636867:0.000000
V:@0.222948:0.651766:0.231475:0.651766:0.231475:0.636867:0.222948:0.636867:0.000000
Tabla 2:@0.222496:0.866712:0.259003:0.866712:0.259003:0.855517:0.222496:0.855517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tabla para:@0.128001:0.731948:0.202933:0.731948:0.202933:0.716584:0.128001:0.716584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el bicondicional:@0.108183:0.747035:0.222768:0.747035:0.222768:0.731671:0.108183:0.731671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.099036:0.770723:0.108451:0.770723:0.108451:0.755170:0.099036:0.755170:0.000000
q:@0.160785:0.770723:0.170167:0.770723:0.170167:0.755170:0.160785:0.755170:0.000000
p   q:@0.206670:0.770723:0.247734:0.770722:0.247734:0.755169:0.206670:0.755170:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.099475:0.792310:0.108002:0.792310:0.108002:0.777411:0.099475:0.777411:0.000000
V:@0.161207:0.792310:0.169734:0.792310:0.169734:0.777411:0.161207:0.777411:0.000000
V:@0.222940:0.792310:0.231467:0.792310:0.231467:0.777411:0.222940:0.777411:0.000000
V:@0.099475:0.811798:0.108002:0.811798:0.108002:0.796899:0.099475:0.796899:0.000000
F:@0.161610:0.811798:0.169349:0.811798:0.169349:0.796899:0.161610:0.796899:0.000000
F:@0.223342:0.811798:0.231082:0.811798:0.231082:0.796899:0.223342:0.796899:0.000000
F:@0.099877:0.831286:0.107617:0.831286:0.107617:0.816387:0.099877:0.816387:0.000000
V:@0.161224:0.831286:0.169751:0.831286:0.169751:0.816387:0.161224:0.816387:0.000000
F:@0.223359:0.831286:0.231098:0.831286:0.231098:0.816387:0.223359:0.816387:0.000000
F:@0.099894:0.850774:0.107633:0.850774:0.107633:0.835875:0.099894:0.835875:0.000000
F:@0.161626:0.850774:0.169366:0.850774:0.169366:0.835875:0.161626:0.835875:0.000000
V:@0.222974:0.850774:0.231501:0.850774:0.231501:0.835875:0.222974:0.835875:0.000000
©:@0.070380:0.377545:0.070380:0.372438:0.058298:0.372438:0.058298:0.377545:0.000000
Shutterstock:@0.070380:0.372438:0.070380:0.334719:0.058469:0.334719:0.058469:0.372438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En Ecuador, la velocidad :@0.084491:0.199223:0.248797:0.199223:0.248797:0.184324:0.084491:0.184324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del Internet supera el :@0.103287:0.214311:0.248797:0.214311:0.248797:0.199412:0.103287:0.199412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
promedio regional. :@0.118030:0.229398:0.248797:0.229398:0.248797:0.214499:0.118030:0.214499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen más de :@0.146056:0.244486:0.248799:0.244486:0.248799:0.229587:0.146056:0.229587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
15 millones de :@0.147614:0.259574:0.248799:0.259574:0.248799:0.244675:0.147614:0.244675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conexiones móviles con :@0.084441:0.274661:0.248797:0.274661:0.248797:0.259762:0.084441:0.259762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
amplia cobertura y :@0.119437:0.289749:0.248797:0.289749:0.248797:0.274850:0.119437:0.274850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conectividad.:@0.155672:0.304836:0.245128:0.304836:0.245128:0.289937:0.155672:0.289937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La velocidad del Internet :@0.096711:0.476512:0.248432:0.476512:0.248432:0.463103:0.096711:0.463103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
depende de diversos factores.:@0.078226:0.490091:0.245130:0.490091:0.245130:0.476682:0.078226:0.476682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.147079:0.166499:0.197549:0.166499:0.197549:0.149599:0.147079:0.149599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.1. :@0.290067:0.954959:0.332119:0.954959:0.332119:0.944205:0.290067:0.944205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definir y reconocer proposiciones simples a las que se puede asignar un valor de verdad para relacionarlas entre sí con :@0.332963:0.954959:0.903689:0.954959:0.903689:0.944530:0.332963:0.944530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.349146:0.954959:0.351714:0.954959:0.351714:0.944530:0.349146:0.944530:0.000000
conectivos lógicos: negación, disyunción, conjunción, condicionante y bicondicionante; y formar proposiciones compuestas.:@0.290067:0.965521:0.870965:0.965521:0.870965:0.955091:0.290067:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000