186:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Geometría:@0.073089:0.043661:0.168070:0.043661:0.168070:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ley:@0.368932:0.240161:0.394684:0.240161:0.394684:0.224540:0.368932:0.224540:0.000000:0.000000:0.000000
Símbolos:@0.646039:0.240161:0.714815:0.240161:0.714815:0.224540:0.646039:0.224540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De equivalencia:@0.300985:0.269291:0.412213:0.269291:0.412213:0.254137:0.300985:0.254137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.478409:0.265472:0.486982:0.265472:0.491583:0.251606:0.483010:0.251606:0.000000
⇔:@0.490896:0.266045:0.507079:0.266045:0.507079:0.252869:0.490896:0.252869:0.000000
p:@0.508235:0.265472:0.516808:0.265472:0.521409:0.251606:0.512836:0.251606:0.000000
De idempotencia:@0.300985:0.298046:0.421115:0.298046:0.421115:0.282892:0.300985:0.282892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p p:@0.478447:0.294800:0.508933:0.294800:0.513648:0.280591:0.483161:0.280591:0.000000:0.000000:0.000000
∨ ⇔:@0.490291:0.295387:0.529525:0.295387:0.529525:0.281886:0.490291:0.281886:0.000000:0.000000:0.000000
p:@0.530711:0.294800:0.539496:0.294800:0.544211:0.280591:0.535426:0.280591:0.000000
                :@0.542240:0.294800:0.595139:0.294800:0.595139:0.280591:0.542240:0.280591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p p:@0.594051:0.294800:0.624538:0.294800:0.629252:0.280591:0.598766:0.280591:0.000000:0.000000:0.000000
∧ ⇔:@0.605897:0.295387:0.645131:0.295387:0.645131:0.281886:0.605897:0.281886:0.000000:0.000000:0.000000
p:@0.646316:0.294800:0.655100:0.294800:0.659815:0.280591:0.651030:0.280591:0.000000
Asociativa:@0.300985:0.340077:0.371852:0.340077:0.371852:0.324923:0.300985:0.324923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p q r:@0.478530:0.328290:0.527061:0.328290:0.532024:0.313335:0.483492:0.313335:0.000000:0.000000:0.000000:0.000000:0.000000
∨ ∨ ⇔:@0.490998:0.328908:0.549900:0.328908:0.549900:0.314698:0.490998:0.314698:0.000000:0.000000:0.000000:0.000000:0.000000
p q:@0.557000:0.328290:0.587875:0.328290:0.592837:0.313335:0.561962:0.313335:0.000000:0.000000:0.000000
∨:@0.569468:0.328908:0.579568:0.328908:0.579568:0.314698:0.569468:0.314698:0.000000
(:@0.551862:0.331147:0.557440:0.331147:0.557440:0.312958:0.551862:0.312958:0.000000
):@0.590606:0.331147:0.596184:0.331147:0.596184:0.312958:0.590606:0.312958:0.000000
∨ ⇔ ∨:@0.597117:0.328908:0.658040:0.328908:0.658040:0.314698:0.597117:0.314698:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.606444:0.328290:0.611385:0.328290:0.616347:0.313335:0.611406:0.313335:0.000000
p:@0.635472:0.328290:0.644718:0.328290:0.649681:0.313335:0.640434:0.313335:0.000000
q r:@0.663119:0.328290:0.689855:0.328290:0.694817:0.313335:0.668082:0.313335:0.000000:0.000000:0.000000
∨:@0.675587:0.328908:0.685688:0.328908:0.685688:0.314698:0.675587:0.314698:0.000000
(:@0.659027:0.331147:0.664605:0.331147:0.664605:0.312958:0.659027:0.312958:0.000000
):@0.693584:0.331147:0.699162:0.331147:0.699162:0.312958:0.693584:0.312958:0.000000
p q r:@0.478530:0.349299:0.527061:0.349299:0.532024:0.334344:0.483492:0.334344:0.000000:0.000000:0.000000:0.000000:0.000000
∧ ∧ ⇔:@0.490998:0.349917:0.549900:0.349917:0.549900:0.335707:0.490998:0.335707:0.000000:0.000000:0.000000:0.000000:0.000000
p q:@0.557000:0.349299:0.587875:0.349299:0.592837:0.334344:0.561962:0.334344:0.000000:0.000000:0.000000
∧:@0.569468:0.349917:0.579568:0.349917:0.579568:0.335707:0.569468:0.335707:0.000000
(:@0.551862:0.352158:0.557440:0.352158:0.557440:0.333969:0.551862:0.333969:0.000000
):@0.590606:0.352158:0.596184:0.352158:0.596184:0.333969:0.590606:0.333969:0.000000
∧ ⇔ ∧:@0.597117:0.349917:0.658040:0.349917:0.658040:0.335707:0.597117:0.335707:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.606444:0.349299:0.611385:0.349299:0.616347:0.334344:0.611406:0.334344:0.000000
p:@0.635472:0.349299:0.644718:0.349299:0.649681:0.334344:0.640434:0.334344:0.000000
q r:@0.663119:0.349299:0.689855:0.349299:0.694817:0.334344:0.668082:0.334344:0.000000:0.000000:0.000000
∧:@0.675587:0.349917:0.685688:0.349917:0.685688:0.335707:0.675587:0.335707:0.000000
(:@0.659027:0.352158:0.664605:0.352158:0.664605:0.333969:0.659027:0.333969:0.000000
):@0.693584:0.352158:0.699162:0.352158:0.699162:0.333969:0.693584:0.333969:0.000000
Conmutativa:@0.300985:0.382506:0.391195:0.382506:0.391195:0.367352:0.300985:0.367352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p q:@0.478535:0.379518:0.509512:0.379518:0.514491:0.364513:0.483514:0.364513:0.000000:0.000000:0.000000
∧ ⇔ ∧:@0.491044:0.380139:0.554274:0.380139:0.554274:0.365881:0.491044:0.365881:0.000000:0.000000:0.000000:0.000000:0.000000
q p:@0.531630:0.379518:0.563824:0.379518:0.568803:0.364513:0.536609:0.364513:0.000000:0.000000:0.000000
         :@0.566722:0.379518:0.598234:0.379518:0.598234:0.364513:0.566722:0.364513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p q:@0.597041:0.379518:0.628018:0.379518:0.632997:0.364513:0.602020:0.364513:0.000000:0.000000:0.000000
∨ ⇔ ∨:@0.609550:0.380139:0.672778:0.380139:0.672778:0.365881:0.609550:0.365881:0.000000:0.000000:0.000000:0.000000:0.000000
q p:@0.650136:0.379518:0.682330:0.379518:0.687309:0.364513:0.655114:0.364513:0.000000:0.000000:0.000000
Distributiva:@0.300985:0.424089:0.381908:0.424089:0.381908:0.408935:0.300985:0.408935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.477013:0.412412:0.485346:0.412412:0.485346:0.398521:0.477013:0.398521:0.000000
q r:@0.503652:0.412412:0.528925:0.412412:0.528925:0.398521:0.503652:0.398521:0.000000:0.000000:0.000000
(:@0.497532:0.415239:0.503049:0.415239:0.503049:0.397250:0.497532:0.397250:0.000000
) (:@0.530334:0.415239:0.562491:0.415239:0.562491:0.397250:0.530334:0.397250:0.000000:0.000000:0.000000
p q:@0.563751:0.412412:0.592935:0.412412:0.592935:0.398521:0.563751:0.398521:0.000000:0.000000:0.000000
) (:@0.593172:0.415239:0.616098:0.415239:0.616098:0.397250:0.593172:0.397250:0.000000:0.000000:0.000000
p r:@0.617357:0.412412:0.642962:0.412412:0.642962:0.398521:0.617357:0.398521:0.000000:0.000000:0.000000
):@0.644377:0.415239:0.649894:0.415239:0.649894:0.397250:0.644377:0.397250:0.000000
p:@0.477013:0.433192:0.485346:0.433192:0.485346:0.419300:0.477013:0.419300:0.000000
q r:@0.503652:0.433192:0.528925:0.433192:0.528925:0.419300:0.503652:0.419300:0.000000:0.000000:0.000000
(:@0.497532:0.436018:0.503049:0.436018:0.503049:0.418029:0.497532:0.418029:0.000000
) (:@0.530334:0.436018:0.562491:0.436018:0.562491:0.418029:0.530334:0.418029:0.000000:0.000000:0.000000
p q:@0.563751:0.433192:0.592935:0.433192:0.592935:0.419300:0.563751:0.419300:0.000000:0.000000:0.000000
) (:@0.593172:0.436018:0.616098:0.436018:0.616098:0.418029:0.593172:0.418029:0.000000:0.000000:0.000000
p r:@0.617357:0.433192:0.642962:0.433192:0.642962:0.419300:0.617357:0.419300:0.000000:0.000000:0.000000
):@0.644377:0.436018:0.649894:0.436018:0.649894:0.418029:0.644377:0.418029:0.000000
De identidad:@0.300985:0.474334:0.391480:0.474334:0.391480:0.459180:0.300985:0.459180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p F:@0.477013:0.463877:0.504772:0.463877:0.504772:0.449985:0.477013:0.449985:0.000000:0.000000:0.000000
F:@0.527277:0.463877:0.534516:0.463877:0.534516:0.449985:0.527277:0.449985:0.000000
         :@0.536504:0.463877:0.567616:0.463877:0.567616:0.449087:0.536504:0.449087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p V:@0.567417:0.463877:0.595438:0.463877:0.595438:0.449985:0.567417:0.449985:0.000000:0.000000:0.000000
p:@0.619711:0.463877:0.628044:0.463877:0.628044:0.449985:0.619711:0.449985:0.000000
p F:@0.477013:0.482599:0.504772:0.482599:0.504772:0.468708:0.477013:0.468708:0.000000:0.000000:0.000000
p:@0.528266:0.482599:0.536599:0.482599:0.536599:0.468708:0.528266:0.468708:0.000000
         :@0.537493:0.482599:0.568605:0.482599:0.568605:0.467809:0.537493:0.467809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p V:@0.568406:0.482599:0.596425:0.482599:0.596425:0.468708:0.568406:0.468708:0.000000:0.000000:0.000000
V:@0.619005:0.482599:0.627205:0.482599:0.627205:0.468708:0.619005:0.468708:0.000000
De complemento:@0.300985:0.531308:0.422705:0.531308:0.422705:0.516154:0.300985:0.516154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.477301:0.510462:0.485634:0.510462:0.485634:0.496570:0.477301:0.496570:0.000000
p:@0.512129:0.510462:0.520462:0.510462:0.520462:0.496570:0.512129:0.496570:0.000000
F:@0.541874:0.510462:0.549113:0.510462:0.549113:0.496570:0.541874:0.496570:0.000000
           :@0.551101:0.510462:0.589088:0.510462:0.589088:0.495671:0.551101:0.495671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.588889:0.510462:0.597222:0.510462:0.597222:0.496570:0.588889:0.496570:0.000000
p:@0.623717:0.510462:0.632050:0.510462:0.632050:0.496570:0.623717:0.496570:0.000000
V:@0.652756:0.510462:0.660956:0.510462:0.660956:0.496570:0.652756:0.496570:0.000000
p:@0.511799:0.530070:0.520132:0.530070:0.520132:0.516178:0.511799:0.516178:0.000000
(:@0.490668:0.532897:0.496185:0.532897:0.496185:0.514908:0.490668:0.514908:0.000000
):@0.520703:0.532897:0.526220:0.532897:0.526220:0.514908:0.520703:0.514908:0.000000
p:@0.548321:0.530070:0.556654:0.530070:0.556654:0.516178:0.548321:0.516178:0.000000
          :@0.557549:0.530070:0.592090:0.530070:0.592090:0.515280:0.557549:0.515280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.609269:0.530070:0.616509:0.530070:0.616509:0.516178:0.609269:0.516178:0.000000
V:@0.638306:0.530070:0.646506:0.530070:0.646506:0.516178:0.638306:0.516178:0.000000
V:@0.489962:0.549962:0.498162:0.549962:0.498162:0.536070:0.489962:0.536070:0.000000
F:@0.521447:0.549962:0.528686:0.549962:0.528686:0.536070:0.521447:0.536070:0.000000
De Morgan:@0.300985:0.591942:0.378912:0.591942:0.378912:0.576788:0.300985:0.576788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p q:@0.497445:0.580267:0.526627:0.580267:0.526627:0.566375:0.497445:0.566375:0.000000:0.000000:0.000000
(:@0.490668:0.583093:0.496185:0.583093:0.496185:0.565104:0.490668:0.565104:0.000000
):@0.526866:0.583093:0.532382:0.583093:0.532382:0.565104:0.526866:0.565104:0.000000
p:@0.566487:0.580267:0.574820:0.580267:0.574820:0.566375:0.566487:0.566375:0.000000
q:@0.600656:0.580267:0.608989:0.580267:0.608989:0.566375:0.600656:0.566375:0.000000
p q:@0.497445:0.601046:0.526627:0.601046:0.526627:0.587155:0.497445:0.587155:0.000000:0.000000:0.000000
(:@0.490668:0.603873:0.496185:0.603873:0.496185:0.585884:0.490668:0.585884:0.000000
):@0.526866:0.603873:0.532382:0.603873:0.532382:0.585884:0.526866:0.585884:0.000000
p:@0.566487:0.601046:0.574820:0.601046:0.574820:0.587155:0.566487:0.587155:0.000000
q:@0.600656:0.601046:0.608989:0.601046:0.608989:0.587155:0.600656:0.587155:0.000000
De absorción:@0.300985:0.645849:0.392718:0.645849:0.392718:0.630695:0.300985:0.630695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.477013:0.634174:0.485346:0.634174:0.485346:0.620282:0.477013:0.620282:0.000000
p q:@0.504309:0.634174:0.533493:0.634174:0.533493:0.620282:0.504309:0.620282:0.000000:0.000000:0.000000
(:@0.497532:0.637000:0.503049:0.637000:0.503049:0.619011:0.497532:0.619011:0.000000
):@0.533730:0.637000:0.539247:0.637000:0.539247:0.619011:0.533730:0.619011:0.000000
p:@0.561352:0.634174:0.569685:0.634174:0.569685:0.620282:0.561352:0.620282:0.000000
p:@0.477013:0.654952:0.485346:0.654952:0.485346:0.641060:0.477013:0.641060:0.000000
p q:@0.504309:0.654952:0.533493:0.654952:0.533493:0.641060:0.504309:0.641060:0.000000:0.000000:0.000000
(:@0.497532:0.657778:0.503049:0.657778:0.503049:0.639789:0.497532:0.639789:0.000000
):@0.533730:0.657778:0.539247:0.657778:0.539247:0.639789:0.533730:0.639789:0.000000
p:@0.561352:0.654952:0.569685:0.654952:0.569685:0.641060:0.561352:0.641060:0.000000
Condicional simple:@0.300985:0.696095:0.434136:0.696095:0.434136:0.680941:0.300985:0.680941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.477013:0.685639:0.485346:0.685639:0.485346:0.671747:0.477013:0.671747:0.000000
q:@0.506428:0.685639:0.514761:0.685639:0.514761:0.671747:0.506428:0.671747:0.000000
p q:@0.548833:0.685639:0.578015:0.685639:0.578015:0.671747:0.548833:0.671747:0.000000:0.000000:0.000000
p:@0.477013:0.704361:0.485346:0.704361:0.485346:0.690469:0.477013:0.690469:0.000000
q:@0.506428:0.704361:0.514761:0.704361:0.514761:0.690469:0.506428:0.690469:0.000000
q:@0.548174:0.704361:0.556507:0.704361:0.556507:0.690469:0.548174:0.690469:0.000000
q:@0.589261:0.704361:0.597594:0.704361:0.597594:0.690469:0.589261:0.690469:0.000000
Bicondicional:@0.300985:0.735951:0.395096:0.735951:0.395096:0.720797:0.300985:0.720797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.477013:0.734665:0.485346:0.734665:0.485346:0.720773:0.477013:0.720773:0.000000
q:@0.506428:0.734665:0.514761:0.734665:0.514761:0.720773:0.506428:0.720773:0.000000
p:@0.542620:0.734665:0.550953:0.734665:0.550953:0.720773:0.542620:0.720773:0.000000
q:@0.572035:0.734665:0.580368:0.734665:0.580368:0.720773:0.572035:0.720773:0.000000
(:@0.535843:0.737492:0.541359:0.737492:0.541359:0.719503:0.535843:0.719503:0.000000
) (:@0.580605:0.737492:0.603531:0.737492:0.603531:0.719503:0.580605:0.719503:0.000000:0.000000:0.000000
q:@0.604132:0.734665:0.612465:0.734665:0.612465:0.720773:0.604132:0.720773:0.000000
p:@0.633878:0.734665:0.642211:0.734665:0.642211:0.720773:0.633878:0.720773:0.000000
):@0.642777:0.737492:0.648293:0.737492:0.648293:0.719503:0.642777:0.719503:0.000000
1.4 Leyes del álgebra proposicional :@0.293660:0.136836:0.573329:0.136836:0.573329:0.119889:0.293660:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las leyes del álgebra de proposiciones son equivalencias lógicas que nos permiten :@0.293660:0.164199:0.931228:0.164199:0.931228:0.147766:0.293660:0.147766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reducir fórmulas lógicas complejas y expresarlas en forma más sencilla. :@0.293660:0.180841:0.808804:0.180841:0.808804:0.164407:0.293660:0.164407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las leyes del álgebra proposicional son::@0.293660:0.208203:0.578603:0.208203:0.578603:0.191769:0.293660:0.191769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.402753:0.861897:0.409006:0.861897:0.409006:0.838304:0.402753:0.838304:0.000000
):@0.476693:0.861897:0.482945:0.861897:0.482945:0.838304:0.476693:0.838304:0.000000
ociativa:@0.527144:0.858803:0.583115:0.858803:0.583115:0.842776:0.527144:0.842776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∼:@0.323707:0.831615:0.338315:0.831615:0.338315:0.815191:0.323707:0.815191:0.000000
∼:@0.360940:0.831615:0.375548:0.831615:0.375548:0.815191:0.360940:0.815191:0.000000
∼:@0.414977:0.831615:0.429585:0.831615:0.429585:0.815191:0.414977:0.815191:0.000000
∼:@0.460096:0.831615:0.474703:0.831615:0.474703:0.815191:0.460096:0.815191:0.000000
∼∼:@0.337696:0.858987:0.374872:0.858987:0.374872:0.842564:0.337696:0.842564:0.000000:0.000000
∼:@0.408913:0.858987:0.423520:0.858987:0.423520:0.842564:0.408913:0.842564:0.000000
∼:@0.448661:0.858987:0.463269:0.858987:0.463269:0.842564:0.448661:0.842564:0.000000
∼∼:@0.337696:0.884139:0.375247:0.884139:0.375247:0.867715:0.337696:0.867715:0.000000:0.000000
∼:@0.401552:0.884139:0.416160:0.884139:0.416160:0.867715:0.401552:0.867715:0.000000
∼∼:@0.337696:0.906234:0.375247:0.906234:0.375247:0.889811:0.337696:0.889811:0.000000:0.000000
∼∼:@0.415728:0.906234:0.452097:0.906234:0.452097:0.889811:0.415728:0.889811:0.000000:0.000000
(:@0.354799:0.834540:0.361051:0.834540:0.361051:0.810947:0.354799:0.810947:0.000000
):@0.390173:0.834540:0.396425:0.834540:0.396425:0.810947:0.390173:0.810947:0.000000
(:@0.354480:0.909158:0.360732:0.909158:0.360732:0.885565:0.354480:0.885565:0.000000
):@0.389854:0.909158:0.396106:0.909158:0.396106:0.885565:0.389854:0.885565:0.000000
[:@0.354466:0.886972:0.360718:0.886972:0.360718:0.863748:0.354466:0.863748:0.000000
]:@0.429570:0.886972:0.435822:0.886972:0.435822:0.863748:0.429570:0.863748:0.000000
∨:@0.397526:0.832043:0.408847:0.832043:0.408847:0.813611:0.397526:0.813611:0.000000
∨:@0.447244:0.832043:0.458566:0.832043:0.458566:0.813611:0.447244:0.813611:0.000000
≅:@0.324130:0.859416:0.334439:0.859416:0.334439:0.840983:0.324130:0.840983:0.000000
∨:@0.390278:0.859416:0.401600:0.859416:0.401600:0.840983:0.390278:0.840983:0.000000
∨:@0.435772:0.859416:0.447094:0.859416:0.447094:0.840983:0.435772:0.840983:0.000000
≅:@0.324130:0.884567:0.334439:0.884567:0.334439:0.866135:0.324130:0.866135:0.000000
∨:@0.388682:0.884567:0.400004:0.884567:0.400004:0.866135:0.388682:0.866135:0.000000
≅:@0.324130:0.906663:0.334439:0.906663:0.334439:0.888231:0.324130:0.888231:0.000000
∧:@0.402858:0.906663:0.414180:0.906663:0.414180:0.888231:0.402858:0.888231:0.000000
≅∧:@0.324130:0.928759:0.361588:0.928759:0.361588:0.910327:0.324130:0.910327:0.000000:0.000000
p:@0.377093:0.831376:0.387457:0.831376:0.392138:0.815349:0.381773:0.815349:0.000000
q:@0.429947:0.831376:0.440123:0.831376:0.444804:0.815349:0.434627:0.815349:0.000000
q:@0.475065:0.831376:0.485241:0.831376:0.489922:0.815349:0.479745:0.815349:0.000000
p:@0.376396:0.858751:0.386760:0.858751:0.391440:0.842724:0.381076:0.842724:0.000000
q:@0.423860:0.858751:0.434037:0.858751:0.438717:0.842724:0.428541:0.842724:0.000000
q:@0.463609:0.858751:0.473785:0.858751:0.478465:0.842724:0.468289:0.842724:0.000000
p:@0.376768:0.883903:0.387132:0.883903:0.391812:0.867876:0.381448:0.867876:0.000000
q:@0.416516:0.883903:0.426693:0.883903:0.431373:0.867876:0.421196:0.867876:0.000000
p:@0.376774:0.905998:0.387139:0.905998:0.391819:0.889971:0.381455:0.889971:0.000000
q:@0.451885:0.905136:0.462062:0.905136:0.466742:0.889108:0.456565:0.889108:0.000000
pq:@0.336394:0.928094:0.371111:0.928094:0.375791:0.912067:0.341075:0.912067:0.000000:0.000000
(:@0.409581:0.831435:0.414556:0.831435:0.414556:0.815408:0.409581:0.815408:0.000000
):@0.443396:0.831435:0.448372:0.831435:0.448372:0.815408:0.443396:0.815408:0.000000
As:@0.509594:0.858803:0.527525:0.858803:0.527525:0.842776:0.509594:0.842776:0.000000:0.000000
De idempotencia:@0.455181:0.883955:0.584773:0.883955:0.584773:0.867927:0.455181:0.867927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.432068:0.906051:0.437044:0.906051:0.437044:0.890023:0.432068:0.890023:0.000000
) De Morgan:@0.465884:0.906051:0.573432:0.906051:0.573432:0.890023:0.465884:0.890023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De complemento:@0.390348:0.928147:0.523488:0.928147:0.523488:0.912119:0.390348:0.912119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.401172:0.896281:0.407424:0.896281:0.407424:0.872688:0.401172:0.872688:0.000000
):@0.475111:0.896281:0.481364:0.896281:0.481364:0.872688:0.475111:0.872688:0.000000
ociativa:@0.525563:0.893186:0.581534:0.893186:0.581534:0.877159:0.525563:0.877159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∼:@0.322121:0.866003:0.336729:0.866003:0.336729:0.849580:0.322121:0.849580:0.000000
∼:@0.359354:0.866003:0.373961:0.866003:0.373961:0.849580:0.359354:0.849580:0.000000
∼:@0.413391:0.866003:0.427998:0.866003:0.427998:0.849580:0.413391:0.849580:0.000000
∼:@0.458509:0.866003:0.473117:0.866003:0.473117:0.849580:0.458509:0.849580:0.000000
∼∼:@0.336096:0.893370:0.373272:0.893370:0.373272:0.876947:0.336096:0.876947:0.000000:0.000000
∼:@0.407313:0.893370:0.421920:0.893370:0.421920:0.876947:0.407313:0.876947:0.000000
∼:@0.447061:0.893370:0.461669:0.893370:0.461669:0.876947:0.447061:0.876947:0.000000
∼∼:@0.336096:0.918522:0.373647:0.918522:0.373647:0.902098:0.336096:0.902098:0.000000:0.000000
∼:@0.399952:0.918522:0.414560:0.918522:0.414560:0.902098:0.399952:0.902098:0.000000
∼∼:@0.336096:0.940621:0.373647:0.940621:0.373647:0.924198:0.336096:0.924198:0.000000:0.000000
∼∼:@0.414128:0.940621:0.450497:0.940621:0.450497:0.924198:0.414128:0.924198:0.000000:0.000000
(:@0.353218:0.868925:0.359470:0.868925:0.359470:0.845331:0.353218:0.845331:0.000000
):@0.388591:0.868925:0.394844:0.868925:0.394844:0.845331:0.388591:0.845331:0.000000
(:@0.352899:0.943543:0.359151:0.943543:0.359151:0.919949:0.352899:0.919949:0.000000
):@0.388272:0.943543:0.394525:0.943543:0.394525:0.919949:0.388272:0.919949:0.000000
[:@0.352885:0.921356:0.359137:0.921356:0.359137:0.898132:0.352885:0.898132:0.000000
]:@0.427988:0.921356:0.434241:0.921356:0.434241:0.898132:0.427988:0.898132:0.000000
∨:@0.395944:0.866427:0.407266:0.866427:0.407266:0.847995:0.395944:0.847995:0.000000
∨:@0.445663:0.866427:0.456985:0.866427:0.456985:0.847995:0.445663:0.847995:0.000000
≅:@0.322549:0.893800:0.332857:0.893800:0.332857:0.875368:0.322549:0.875368:0.000000
∨:@0.388697:0.893800:0.400019:0.893800:0.400019:0.875368:0.388697:0.875368:0.000000
∨:@0.434189:0.893794:0.445511:0.893794:0.445511:0.875362:0.434189:0.875362:0.000000
≅:@0.322548:0.918942:0.332856:0.918942:0.332856:0.900510:0.322548:0.900510:0.000000
∨:@0.387099:0.918942:0.398421:0.918942:0.398421:0.900510:0.387099:0.900510:0.000000
≅:@0.322548:0.941038:0.332856:0.941038:0.332856:0.922606:0.322548:0.922606:0.000000
∧:@0.401275:0.941038:0.412597:0.941038:0.412597:0.922606:0.401275:0.922606:0.000000
≅∧:@0.322548:0.963134:0.360006:0.963134:0.360006:0.944702:0.322548:0.944702:0.000000:0.000000
p:@0.375514:0.865760:0.385878:0.865760:0.390558:0.849733:0.380194:0.849733:0.000000
q:@0.428367:0.865760:0.438544:0.865760:0.443224:0.849733:0.433047:0.849733:0.000000
q:@0.473485:0.865760:0.483662:0.865760:0.488342:0.849733:0.478166:0.849733:0.000000
p:@0.374814:0.893136:0.385178:0.893136:0.389858:0.877109:0.379494:0.877109:0.000000
q:@0.422279:0.893136:0.432456:0.893136:0.437136:0.877109:0.426959:0.877109:0.000000
q:@0.462027:0.893136:0.472204:0.893136:0.476884:0.877109:0.466708:0.877109:0.000000
p:@0.375187:0.918287:0.385551:0.918287:0.390231:0.902260:0.379867:0.902260:0.000000
q:@0.414935:0.918287:0.425111:0.918287:0.429791:0.902260:0.419615:0.902260:0.000000
p:@0.375189:0.940391:0.385553:0.940391:0.390233:0.924363:0.379869:0.924363:0.000000
q:@0.450300:0.939528:0.460476:0.939528:0.465156:0.923500:0.454980:0.923500:0.000000
pq:@0.334809:0.962486:0.369525:0.962486:0.374205:0.946459:0.339489:0.946459:0.000000:0.000000
(:@0.407999:0.865819:0.412975:0.865819:0.412975:0.849792:0.407999:0.849792:0.000000
):@0.441815:0.865819:0.446790:0.865819:0.446790:0.849792:0.441815:0.849792:0.000000
As:@0.508013:0.893186:0.525944:0.893186:0.525944:0.877159:0.508013:0.877159:0.000000:0.000000
De idempotencia:@0.453600:0.918338:0.583191:0.918338:0.583191:0.902310:0.453600:0.902310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.430510:0.940437:0.435485:0.940437:0.435485:0.924410:0.430510:0.924410:0.000000
) De Morgan:@0.464325:0.940437:0.571873:0.940437:0.571873:0.924410:0.464325:0.924410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De complemento:@0.388790:0.962533:0.521929:0.962533:0.521929:0.946506:0.388790:0.946506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.705763:0.846293:0.711893:0.846293:0.711893:0.823163:0.705763:0.823163:0.000000
):@0.778251:0.846293:0.784381:0.846293:0.784381:0.823163:0.778251:0.823163:0.000000
ociativa:@0.827713:0.843259:0.882585:0.843259:0.882585:0.827547:0.827713:0.827547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∼:@0.628271:0.816605:0.642591:0.816605:0.642591:0.800504:0.628271:0.800504:0.000000
∼:@0.664772:0.816605:0.679093:0.816605:0.679093:0.800504:0.664772:0.800504:0.000000
∼:@0.717748:0.816605:0.732069:0.816605:0.732069:0.800504:0.717748:0.800504:0.000000
∼:@0.761981:0.816605:0.776302:0.816605:0.776302:0.800504:0.761981:0.800504:0.000000
∼∼:@0.641984:0.843440:0.678430:0.843440:0.678430:0.827339:0.641984:0.827339:0.000000:0.000000
∼:@0.711803:0.843440:0.726123:0.843440:0.726123:0.827339:0.711803:0.827339:0.000000
∼:@0.750771:0.843440:0.765092:0.843440:0.765092:0.827339:0.750771:0.827339:0.000000
∼∼:@0.641984:0.868097:0.678798:0.868097:0.678798:0.851996:0.641984:0.851996:0.000000:0.000000
∼:@0.704587:0.868097:0.718908:0.868097:0.718908:0.851996:0.704587:0.851996:0.000000
∼∼:@0.641966:0.889762:0.678780:0.889762:0.678780:0.873661:0.641966:0.873661:0.000000:0.000000
∼∼:@0.718466:0.889762:0.754121:0.889762:0.754121:0.873661:0.718466:0.873661:0.000000:0.000000
(:@0.658751:0.819473:0.664881:0.819473:0.664881:0.796344:0.658751:0.796344:0.000000
):@0.693431:0.819473:0.699560:0.819473:0.699560:0.796344:0.693431:0.796344:0.000000
(:@0.658438:0.892627:0.664568:0.892627:0.664568:0.869497:0.658438:0.869497:0.000000
):@0.693118:0.892627:0.699247:0.892627:0.699247:0.869497:0.693118:0.869497:0.000000
[:@0.658425:0.870876:0.664555:0.870876:0.664555:0.848107:0.658425:0.848107:0.000000
]:@0.732054:0.870876:0.738184:0.870876:0.738184:0.848107:0.732054:0.848107:0.000000
∨:@0.700639:0.817026:0.711739:0.817026:0.711739:0.798956:0.700639:0.798956:0.000000
∨:@0.749382:0.817026:0.760481:0.817026:0.760481:0.798956:0.749382:0.798956:0.000000
≅:@0.628686:0.843861:0.638791:0.843861:0.638791:0.825791:0.628686:0.825791:0.000000
∨:@0.693534:0.843861:0.704634:0.843861:0.704634:0.825791:0.693534:0.825791:0.000000
∨:@0.738135:0.843861:0.749235:0.843861:0.749235:0.825791:0.738135:0.825791:0.000000
≅:@0.628686:0.868518:0.638791:0.868518:0.638791:0.850448:0.628686:0.850448:0.000000
∨:@0.691970:0.868518:0.703069:0.868518:0.703069:0.850448:0.691970:0.850448:0.000000
≅:@0.628686:0.890194:0.638791:0.890194:0.638791:0.872124:0.628686:0.872124:0.000000
∧:@0.705867:0.890194:0.716967:0.890194:0.716967:0.872124:0.705867:0.872124:0.000000
≅∧:@0.628684:0.911847:0.665406:0.911847:0.665406:0.893777:0.628684:0.893777:0.000000:0.000000
p:@0.680609:0.816371:0.690770:0.816371:0.695358:0.800659:0.685197:0.800659:0.000000
q:@0.732425:0.816371:0.742402:0.816371:0.746990:0.800659:0.737013:0.800659:0.000000
q:@0.776657:0.816371:0.786634:0.816371:0.791222:0.800659:0.781245:0.800659:0.000000
p:@0.679915:0.843206:0.690076:0.843206:0.694664:0.827494:0.684503:0.827494:0.000000
q:@0.726448:0.843206:0.736425:0.843206:0.741013:0.827494:0.731036:0.827494:0.000000
q:@0.765416:0.843206:0.775393:0.843206:0.779981:0.827494:0.770004:0.827494:0.000000
p:@0.680280:0.867864:0.690441:0.867864:0.695029:0.852151:0.684868:0.852151:0.000000
q:@0.719248:0.867864:0.729225:0.867864:0.733813:0.852151:0.723836:0.852151:0.000000
p:@0.680291:0.889536:0.690452:0.889536:0.695040:0.873824:0.684879:0.873824:0.000000
q:@0.753927:0.888690:0.763904:0.888690:0.768492:0.872978:0.758515:0.872978:0.000000
pq:@0.640704:0.911198:0.674739:0.911198:0.679327:0.895486:0.645292:0.895486:0.000000:0.000000
(:@0.712457:0.816429:0.717335:0.816429:0.717335:0.800717:0.712457:0.800717:0.000000
):@0.745608:0.816429:0.750486:0.816429:0.750486:0.800717:0.745608:0.800717:0.000000
As:@0.810512:0.843264:0.828091:0.843264:0.828091:0.827552:0.810512:0.827552:0.000000:0.000000
De idempotencia:@0.757168:0.867922:0.884215:0.867922:0.884215:0.852209:0.757168:0.852209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.734526:0.889582:0.739403:0.889582:0.739403:0.873869:0.734526:0.873869:0.000000
) De Morgan:@0.767677:0.889582:0.873114:0.889582:0.873114:0.873869:0.767677:0.873869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De complemento:@0.693625:0.911244:0.824150:0.911244:0.824150:0.895531:0.693625:0.895531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos 7:@0.293660:0.777136:0.376658:0.777136:0.376658:0.760466:0.293660:0.760466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Usando el álgebra de proposiciones, simplifica la proposición.:@0.293660:0.800925:0.769221:0.800925:0.769221:0.784491:0.293660:0.784491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.293655:0.864094:0.359789:0.864094:0.359789:0.847425:0.293655:0.847425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.078581:0.150262:0.187141:0.150262:0.187141:0.133315:0.078581:0.133315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.166904:0.176057:0.166904:0.176057:0.149957:0.078581:0.149957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para simplificar una :@0.082576:0.186502:0.213378:0.186502:0.213378:0.171562:0.082576:0.171562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fórmula lógica podemos :@0.082576:0.201631:0.248154:0.201631:0.248154:0.186691:0.082576:0.186691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
seguir estos pasos::@0.082576:0.216760:0.205178:0.216760:0.205178:0.201820:0.082576:0.201820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Analizar e identificar :@0.087319:0.239036:0.242908:0.239036:0.242908:0.224096:0.087319:0.224096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conectores :@0.106293:0.254165:0.183518:0.254165:0.183518:0.239225:0.106293:0.239225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
condicional :@0.106293:0.269294:0.187134:0.269294:0.187134:0.254354:0.106293:0.254354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y bicondicional,  :@0.106293:0.284423:0.216770:0.284423:0.216770:0.269483:0.106293:0.269483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces, aplicar las :@0.106293:0.299552:0.241774:0.299552:0.241774:0.284612:0.106293:0.284612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respectivas leyes.:@0.106293:0.314681:0.219032:0.314681:0.219032:0.299741:0.106293:0.299741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Asociar términos :@0.087319:0.336957:0.220448:0.336957:0.220448:0.322017:0.087319:0.322017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para poder aplicar :@0.106293:0.352086:0.229689:0.352086:0.229689:0.337146:0.106293:0.337146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las leyes del álgebra :@0.106293:0.367215:0.241223:0.367215:0.241223:0.352275:0.106293:0.352275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proposicional. :@0.106293:0.382344:0.202550:0.382344:0.202550:0.367404:0.106293:0.367404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
>:@0.087775:0.510571:0.101710:0.510297:0.101152:0.494253:0.087218:0.494528:0.000000
: lógicamente :@0.101692:0.509767:0.195853:0.507909:0.195334:0.492975:0.101173:0.494832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equivalente a:@0.088283:0.525166:0.178061:0.523395:0.177542:0.508460:0.087764:0.510231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.089065:0.547663:0.110812:0.547234:0.110253:0.531177:0.088507:0.531606:0.000000
: equivale:@0.110804:0.547007:0.173752:0.545765:0.173233:0.530830:0.110285:0.532072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Simbología :@0.087319:0.477406:0.172608:0.477406:0.172608:0.462000:0.087319:0.462000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.087319:0.492535:0.172469:0.492535:0.172469:0.477129:0.087319:0.477129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000