15:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000 Pensamiento espacial, numérico y variacional:@0.522009:0.043661:0.926913:0.043661:0.926913:0.024916:0.522009:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Propiedades algebraicas de los números reales:@0.316631:0.560844:0.683471:0.560844:0.683471:0.543897:0.316631:0.543897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ley cancelativa:@0.082987:0.594640:0.202751:0.594640:0.202751:0.577694:0.082987:0.577694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sean , , :@0.082987:0.629145:0.162507:0.629145:0.162507:0.612711:0.082987:0.612711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y z:@0.122397:0.629145:0.158549:0.629145:0.158549:0.612738:0.122397:0.612738:0.000000:0.000000:0.000000:0.000000:0.000000 [ :@0.162433:0.629006:0.182276:0.629006:0.182276:0.614957:0.162433:0.614957:0.000000:0.000000 R:@0.182184:0.628285:0.195474:0.628285:0.195474:0.615387:0.182184:0.615387:0.000000 . Entonces,:@0.195382:0.629145:0.272551:0.629145:0.272551:0.612711:0.195382:0.612711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.082994:0.663656:0.098438:0.663656:0.098438:0.647222:0.082994:0.647222:0.000000:0.000000:0.000000 x y x z:@0.113196:0.663656:0.207809:0.663656:0.207809:0.647250:0.113196:0.647250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 5 1:@0.123835:0.663101:0.197427:0.663101:0.197427:0.649386:0.123835:0.649386:0.000000:0.000000:0.000000:0.000000:0.000000 , :@0.207754:0.663656:0.218872:0.663656:0.218872:0.647222:0.207754:0.647222:0.000000:0.000000:0.000000 ⇔:@0.218780:0.663240:0.237960:0.663240:0.237960:0.646252:0.218780:0.646252:0.000000 :@0.237868:0.663656:0.241899:0.663656:0.241899:0.647222:0.237868:0.647222:0.000000 y z.:@0.241825:0.663656:0.281456:0.663656:0.281456:0.647250:0.241825:0.647250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.252483:0.663101:0.267817:0.663101:0.267817:0.649386:0.252483:0.649386:0.000000 b. Si:@0.082994:0.698167:0.125510:0.698167:0.125510:0.681733:0.082994:0.681733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x ≠ xy xz:@0.125418:0.698167:0.220768:0.698167:0.220768:0.681760:0.125418:0.681760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0; :@0.153452:0.698167:0.169522:0.698167:0.169522:0.681733:0.153452:0.681733:0.000000:0.000000:0.000000 5:@0.187671:0.697612:0.203005:0.697612:0.203005:0.683896:0.187671:0.683896:0.000000 :@0.220713:0.698167:0.224744:0.698167:0.224744:0.681733:0.220713:0.681733:0.000000 ⇔:@0.224670:0.697751:0.243850:0.697751:0.243850:0.680762:0.224670:0.680762:0.000000 :@0.243758:0.698167:0.247790:0.698167:0.247790:0.681733:0.243758:0.681733:0.000000 y z.:@0.247716:0.698167:0.287347:0.698167:0.287347:0.681760:0.247716:0.681760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.258374:0.697612:0.273707:0.697612:0.273707:0.683896:0.258374:0.683896:0.000000 Sean , :@0.447840:0.594640:0.513130:0.594640:0.513130:0.578207:0.447840:0.578207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.487250:0.594640:0.509173:0.594640:0.509173:0.578234:0.487250:0.578234:0.000000:0.000000:0.000000 [ :@0.513057:0.594502:0.532900:0.594502:0.532900:0.580453:0.513057:0.580453:0.000000:0.000000 R:@0.532807:0.593781:0.546098:0.593781:0.546098:0.580883:0.532807:0.580883:0.000000 . Se verifican las igualdades.:@0.546006:0.594640:0.744555:0.594640:0.744555:0.578207:0.546006:0.578207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.447823:0.621997:0.463266:0.621997:0.463266:0.605564:0.447823:0.605564:0.000000:0.000000:0.000000 x :@0.478024:0.621997:0.488718:0.621997:0.488718:0.605591:0.478024:0.605591:0.000000:0.000000 (:@0.488663:0.621997:0.493541:0.621997:0.493541:0.605564:0.488663:0.605564:0.000000 2 5 2:@0.493468:0.621443:0.563139:0.621443:0.563139:0.607727:0.493468:0.607727:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.508709:0.621997:0.543075:0.621997:0.543075:0.605591:0.508709:0.605591:0.000000:0.000000:0.000000:0.000000:0.000000 ):@0.516293:0.621997:0.521170:0.621997:0.521170:0.605564:0.516293:0.605564:0.000000 (:@0.543001:0.621997:0.547879:0.621997:0.547879:0.605564:0.543001:0.605564:0.000000 x y xy.:@0.563047:0.621997:0.640880:0.621997:0.640880:0.605591:0.563047:0.605591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ):@0.570612:0.621997:0.575490:0.621997:0.575490:0.605564:0.570612:0.605564:0.000000 5 2:@0.589498:0.621443:0.623312:0.621443:0.623312:0.607727:0.589498:0.607727:0.000000:0.000000:0.000000 b. (:@0.447823:0.649361:0.482902:0.649361:0.482902:0.632927:0.447823:0.632927:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.482828:0.648806:0.498161:0.648806:0.498161:0.635090:0.482828:0.635090:0.000000 x :@0.498069:0.649361:0.513936:0.649361:0.513936:0.632955:0.498069:0.632955:0.000000:0.000000:0.000000 ) (:@0.505635:0.649361:0.518741:0.649361:0.518741:0.632927:0.505635:0.632927:0.000000:0.000000:0.000000 2 5:@0.518667:0.648806:0.565053:0.648806:0.565053:0.635090:0.518667:0.635090:0.000000:0.000000:0.000000 y xy.:@0.533908:0.649361:0.585861:0.649361:0.585861:0.632955:0.533908:0.632955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ):@0.541492:0.649361:0.546370:0.649361:0.546370:0.632927:0.541492:0.632927:0.000000 Las propiedades i y ii se conocen como leyes de los signos.:@0.447818:0.676723:0.872861:0.676723:0.872861:0.660289:0.447818:0.660289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sean , :@0.082986:0.722862:0.147338:0.722862:0.147338:0.706428:0.082986:0.706428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.121899:0.722862:0.143380:0.722862:0.143380:0.706456:0.121899:0.706456:0.000000:0.000000:0.000000 [ :@0.146841:0.722723:0.166665:0.722723:0.166665:0.708675:0.146841:0.708675:0.000000:0.000000 R:@0.166095:0.722002:0.179385:0.722002:0.179385:0.709105:0.166095:0.709105:0.000000 . :@0.179274:0.722862:0.185845:0.722862:0.185845:0.706456:0.179274:0.706456:0.000000:0.000000 Entonces, :@0.185422:0.722862:0.259296:0.722862:0.259296:0.706428:0.185422:0.706428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 xy :@0.258757:0.722862:0.295166:0.722862:0.295166:0.706456:0.258757:0.706456:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.276630:0.722307:0.291963:0.722307:0.291963:0.708592:0.276630:0.708592:0.000000 0 :@0.294761:0.722862:0.307683:0.722862:0.307683:0.706428:0.294761:0.706428:0.000000:0.000000 ⇔:@0.307168:0.722446:0.326348:0.722446:0.326348:0.705457:0.307168:0.705457:0.000000 :@0.326238:0.722862:0.330269:0.722862:0.330269:0.706428:0.326238:0.706428:0.000000 x :@0.329772:0.722862:0.358579:0.722862:0.358579:0.706456:0.329772:0.706456:0.000000:0.000000:0.000000:0.000000 5:@0.340043:0.722307:0.355376:0.722307:0.355376:0.708592:0.340043:0.708592:0.000000 0 :@0.358174:0.722862:0.371096:0.722862:0.371096:0.706428:0.358174:0.706428:0.000000:0.000000 ~:@0.370581:0.723444:0.385914:0.723444:0.385914:0.705790:0.370581:0.705790:0.000000 y 0.:@0.385803:0.722862:0.428895:0.722862:0.428895:0.706456:0.385803:0.706456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.399001:0.722307:0.414335:0.722307:0.414335:0.708592:0.399001:0.708592:0.000000 Sean :@0.447854:0.722862:0.487367:0.722862:0.487367:0.706428:0.447854:0.706428:0.000000:0.000000:0.000000:0.000000:0.000000 a, b, c, d:@0.487264:0.722862:0.541431:0.722862:0.541431:0.706456:0.487264:0.706456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.541418:0.722862:0.545450:0.722862:0.545450:0.706428:0.541418:0.706428:0.000000 [ :@0.545376:0.722723:0.565219:0.722723:0.565219:0.708675:0.545376:0.708675:0.000000:0.000000 R:@0.565127:0.722002:0.578417:0.722002:0.578417:0.709105:0.565127:0.709105:0.000000 . :@0.578325:0.722862:0.584896:0.722862:0.584896:0.706456:0.578325:0.706456:0.000000:0.000000 Se verifican::@0.584841:0.722862:0.670359:0.722862:0.670359:0.706428:0.584841:0.706428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a.:@0.447873:0.757366:0.459359:0.757366:0.459359:0.740932:0.447873:0.740932:0.000000:0.000000 a b c ab ac.:@0.459220:0.757374:0.620289:0.757374:0.620289:0.740968:0.459220:0.740968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.490382:0.757374:0.495260:0.757374:0.495260:0.740940:0.490382:0.740940:0.000000 2:@0.507629:0.756819:0.522963:0.756819:0.522963:0.743103:0.507629:0.743103:0.000000 ):@0.533712:0.757374:0.538590:0.757374:0.538590:0.740940:0.533712:0.740940:0.000000 5:@0.541756:0.756819:0.557090:0.756819:0.557090:0.743103:0.541756:0.743103:0.000000 2:@0.581884:0.756819:0.597217:0.756819:0.597217:0.743103:0.581884:0.743103:0.000000 b.:@0.447843:0.791878:0.460801:0.791878:0.460801:0.775444:0.447843:0.775444:0.000000:0.000000 :@0.460693:0.791884:0.464595:0.791884:0.464595:0.775214:0.460693:0.775214:0.000000 2 1:@0.477944:0.791329:0.525766:0.791329:0.525766:0.777614:0.477944:0.777614:0.000000:0.000000:0.000000 (:@0.493185:0.791884:0.498063:0.791884:0.498063:0.775450:0.493185:0.775450:0.000000 a b a b.:@0.497989:0.791884:0.622956:0.791884:0.622956:0.775478:0.497989:0.775478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ):@0.538117:0.791884:0.542995:0.791884:0.542995:0.775450:0.538117:0.775450:0.000000 5 2 2:@0.546161:0.791329:0.607659:0.791329:0.607659:0.777614:0.546161:0.777614:0.000000:0.000000:0.000000:0.000000:0.000000 De acuerdo con las definiciones sobre las relaciones de orden “menor que” ”mayor que”, establecidas en los :@0.083016:0.816583:0.921181:0.816583:0.921181:0.800149:0.083016:0.800149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.660709:0.816583:0.668182:0.816583:0.668182:0.800177:0.660709:0.800177:0.000000 conjuntos de los números naturales, enteros racionales, podemos definir estas relaciones en el conjunto de los :@0.083016:0.833225:0.920794:0.833225:0.920794:0.816791:0.083016:0.816791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 números reales como se indica a continuación.:@0.083016:0.849867:0.440227:0.849867:0.440227:0.833433:0.083016:0.833433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.197601:0.849007:0.210891:0.849007:0.210891:0.836110:0.197601:0.836110:0.000000 Definición:@0.083016:0.877229:0.160983:0.877229:0.160983:0.860559:0.083016:0.860559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.160879:0.877229:0.165223:0.877229:0.165223:0.860282:0.160879:0.860282:0.000000 Sean:@0.165149:0.877229:0.204662:0.877229:0.204662:0.860795:0.165149:0.860795:0.000000:0.000000:0.000000:0.000000:0.000000 x, y :@0.204559:0.877229:0.250908:0.877229:0.250908:0.860823:0.204559:0.860823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 [:@0.232354:0.877090:0.247687:0.877090:0.247687:0.863042:0.232354:0.863042:0.000000 R:@0.250835:0.876369:0.264125:0.876369:0.264125:0.863472:0.250835:0.863472:0.000000 .:@0.264033:0.877229:0.267236:0.877229:0.267236:0.860795:0.264033:0.860795:0.000000 a. Diremos que “ es menor que ”, que se escribe “:@0.082994:0.904590:0.459453:0.904590:0.459453:0.888157:0.082994:0.888157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.214307:0.904590:0.221762:0.904590:0.221762:0.888184:0.214307:0.888184:0.000000 y:@0.330254:0.904590:0.337727:0.904590:0.337727:0.888184:0.330254:0.888184:0.000000 x y:@0.459271:0.904590:0.495864:0.904590:0.495864:0.888184:0.459271:0.888184:0.000000:0.000000:0.000000:0.000000:0.000000 ,:@0.469910:0.904036:0.485243:0.904036:0.485243:0.890320:0.469910:0.890320:0.000000 ”, si y solo si :@0.495809:0.904590:0.581009:0.904590:0.581009:0.888157:0.495809:0.888157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y x :@0.580832:0.904590:0.639165:0.904590:0.639165:0.888184:0.580832:0.888184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.591490:0.904036:0.606823:0.904036:0.606823:0.890320:0.591490:0.890320:0.000000 [:@0.620610:0.904452:0.635943:0.904452:0.635943:0.890403:0.620610:0.890403:0.000000 R:@0.639091:0.903731:0.652381:0.903731:0.652381:0.890833:0.639091:0.890833:0.000000 1:@0.652294:0.898203:0.661233:0.898203:0.661233:0.890207:0.652294:0.890207:0.000000 .:@0.661179:0.904590:0.664382:0.904590:0.664382:0.888157:0.661179:0.888157:0.000000 b. Diremos que “ es mayor que ”, que se escribe “:@0.082994:0.931953:0.456876:0.931953:0.456876:0.915520:0.082994:0.915520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.214307:0.931953:0.221762:0.931953:0.221762:0.915547:0.214307:0.915547:0.000000 y:@0.327677:0.931953:0.335150:0.931953:0.335150:0.915547:0.327677:0.915547:0.000000 x y:@0.456693:0.931953:0.493287:0.931953:0.493287:0.915547:0.456693:0.915547:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.467333:0.931399:0.482666:0.931399:0.482666:0.917683:0.467333:0.917683:0.000000 ”, si y solo si ; o sea, :@0.493232:0.931953:0.668045:0.931953:0.668045:0.915520:0.493232:0.915520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.578255:0.931953:0.585728:0.931953:0.585728:0.915547:0.578255:0.915547:0.000000 ,:@0.589612:0.931399:0.604945:0.931399:0.604945:0.917683:0.589612:0.917683:0.000000 x:@0.608811:0.931953:0.616266:0.931953:0.616266:0.915547:0.608811:0.915547:0.000000 x y :@0.667917:0.931953:0.726249:0.931953:0.726249:0.915547:0.667917:0.915547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.678556:0.931399:0.693889:0.931399:0.693889:0.917683:0.678556:0.917683:0.000000 [:@0.707695:0.931815:0.723028:0.931815:0.723028:0.917766:0.707695:0.917766:0.000000 R:@0.726176:0.931094:0.739466:0.931094:0.739466:0.918196:0.726176:0.918196:0.000000 1:@0.739372:0.925566:0.748311:0.925566:0.748311:0.917570:0.739372:0.917570:0.000000 .:@0.748257:0.931953:0.751460:0.931953:0.751460:0.915520:0.748257:0.915520:0.000000 Propiedades:@0.450098:0.153078:0.549087:0.153078:0.549087:0.136131:0.450098:0.136131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Producto:@0.083002:0.186556:0.155755:0.186556:0.155755:0.169609:0.083002:0.169609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. Conmutativa:@0.082994:0.221064:0.211677:0.221064:0.211677:0.204395:0.082994:0.204395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ::@0.211561:0.221064:0.214893:0.221064:0.214893:0.204658:0.211561:0.204658:0.000000 :@0.214820:0.221064:0.218630:0.221064:0.218630:0.204117:0.214820:0.204117:0.000000 para todo:@0.218556:0.221064:0.289472:0.221064:0.289472:0.204630:0.218556:0.204630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x, y :@0.289350:0.221064:0.317182:0.221064:0.317182:0.204658:0.289350:0.204658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 [ :@0.317156:0.220774:0.336097:0.220774:0.336097:0.207364:0.317156:0.207364:0.000000:0.000000 R:@0.336009:0.220086:0.348695:0.220086:0.348695:0.207775:0.336009:0.207775:0.000000 ,:@0.348607:0.221064:0.351810:0.221064:0.351810:0.204630:0.348607:0.204630:0.000000 xy yx.:@0.351737:0.221064:0.416309:0.221064:0.416309:0.204658:0.351737:0.204658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.379716:0.220509:0.395049:0.220509:0.395049:0.206794:0.379716:0.206794:0.000000 2. Asociativa:@0.082994:0.255576:0.190472:0.255576:0.190472:0.238906:0.082994:0.238906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ::@0.190375:0.255576:0.193706:0.255576:0.193706:0.239170:0.190375:0.239170:0.000000 :@0.193633:0.255576:0.197443:0.255576:0.197443:0.238629:0.193633:0.238629:0.000000 para todo:@0.197369:0.255576:0.268285:0.255576:0.268285:0.239142:0.197369:0.239142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x, y, z :@0.268164:0.255576:0.308998:0.255576:0.308998:0.239170:0.268164:0.239170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 [ :@0.308973:0.255286:0.327914:0.255286:0.327914:0.241876:0.308973:0.241876:0.000000:0.000000 R:@0.327826:0.254597:0.340512:0.254597:0.340512:0.242286:0.327826:0.242286:0.000000 ,:@0.340425:0.255576:0.343627:0.255576:0.343627:0.239142:0.340425:0.239142:0.000000 x y z x y z.:@0.343554:0.255576:0.454458:0.255576:0.454458:0.239170:0.343554:0.239170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.363931:0.255576:0.391431:0.255576:0.391431:0.239142:0.363931:0.239142:0.000000:0.000000:0.000000 5:@0.394597:0.255021:0.409930:0.255021:0.409930:0.241305:0.394597:0.241305:0.000000 ( ):@0.413078:0.255576:0.440799:0.255576:0.440799:0.239142:0.413078:0.239142:0.000000:0.000000:0.000000 3. Existencia de elemento unidad::@0.082994:0.290086:0.350082:0.290086:0.350082:0.273417:0.082994:0.273417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.349892:0.290086:0.353702:0.290086:0.353702:0.273139:0.349892:0.273139:0.000000 existe 1:@0.353629:0.290086:0.408162:0.290086:0.408162:0.273652:0.353629:0.273652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 [ :@0.408034:0.289796:0.426975:0.289796:0.426975:0.276386:0.408034:0.276386:0.000000:0.000000 R:@0.426888:0.289108:0.439574:0.289108:0.439574:0.276797:0.426888:0.276797:0.000000 , tal que para todo:@0.439486:0.290086:0.570869:0.290086:0.570869:0.273652:0.439486:0.273652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.442615:0.290086:0.445928:0.290086:0.445928:0.273680:0.442615:0.273680:0.000000 x:@0.570693:0.290086:0.581387:0.290086:0.581387:0.273680:0.570693:0.273680:0.000000:0.000000 :@0.581332:0.289226:0.585934:0.289226:0.585934:0.276329:0.581332:0.276329:0.000000 [ :@0.585830:0.289796:0.604771:0.289796:0.604771:0.276386:0.585830:0.276386:0.000000:0.000000 R:@0.604683:0.289108:0.617369:0.289108:0.617369:0.276797:0.604683:0.276797:0.000000 ,:@0.617281:0.290086:0.620484:0.290086:0.620484:0.273652:0.617281:0.273652:0.000000 x 1 x x.:@0.620411:0.290086:0.734996:0.290086:0.734996:0.273680:0.620411:0.273680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ? 5 ? 5:@0.634290:0.289531:0.721135:0.289531:0.721135:0.275816:0.634290:0.275816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.643567:0.290086:0.652550:0.290086:0.652550:0.273652:0.643567:0.273652:0.000000 4. Existencia de opuestos multiplicativos::@0.082994:0.329602:0.391329:0.329602:0.391329:0.312932:0.082994:0.312932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.391087:0.329602:0.394401:0.329602:0.394401:0.313196:0.391087:0.313196:0.000000 para cada:@0.393940:0.329602:0.461642:0.329602:0.461642:0.313168:0.393940:0.313168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.461145:0.329602:0.471453:0.329602:0.471453:0.313196:0.461145:0.313196:0.000000:0.000000 :@0.471030:0.328742:0.475632:0.328742:0.475632:0.315844:0.471030:0.315844:0.000000 [ :@0.475156:0.329312:0.494097:0.329312:0.494097:0.315902:0.475156:0.315902:0.000000:0.000000 R:@0.493991:0.328623:0.506677:0.328623:0.506677:0.316312:0.493991:0.316312:0.000000 :@0.506582:0.329602:0.509895:0.329602:0.509895:0.313196:0.506582:0.313196:0.000000 con:@0.509435:0.329602:0.536420:0.329602:0.536420:0.313168:0.509435:0.313168:0.000000:0.000000:0.000000 x , :@0.535960:0.329602:0.581168:0.329602:0.581168:0.313196:0.535960:0.313196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ?:@0.548698:0.330142:0.564031:0.330142:0.564031:0.314971:0.548698:0.314971:0.000000 0 existe:@0.566424:0.329602:0.622393:0.329602:0.622393:0.313168:0.566424:0.313168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.622290:0.329602:0.686156:0.329602:0.686156:0.313196:0.622290:0.313196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.632906:0.323214:0.641845:0.323214:0.641845:0.315218:0.632906:0.315218:0.000000 1:@0.641791:0.323538:0.647028:0.323538:0.647028:0.313957:0.641791:0.313957:0.000000 5:@0.650202:0.329047:0.665535:0.329047:0.665535:0.315331:0.650202:0.315331:0.000000 1:@0.671099:0.321760:0.680490:0.321760:0.680490:0.304579:0.671099:0.304579:0.000000 x:@0.671907:0.338143:0.679701:0.338143:0.679701:0.320991:0.671907:0.320991:0.000000 [ :@0.686071:0.329312:0.705012:0.329312:0.705012:0.315902:0.686071:0.315902:0.000000:0.000000 R:@0.704907:0.328623:0.717593:0.328623:0.717593:0.316312:0.704907:0.316312:0.000000 , tal que:@0.717497:0.329602:0.774725:0.329602:0.774725:0.313168:0.717497:0.313168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x x x x .:@0.774615:0.329602:0.916160:0.329602:0.916160:0.313196:0.774615:0.313196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ?:@0.788457:0.329047:0.794587:0.329047:0.794587:0.315331:0.788457:0.315331:0.000000 2:@0.805117:0.323214:0.814057:0.323214:0.814057:0.315218:0.805117:0.315218:0.000000 1:@0.814003:0.323538:0.819240:0.323538:0.819240:0.313957:0.814003:0.313957:0.000000 5:@0.822414:0.329047:0.837747:0.329047:0.837747:0.315331:0.822414:0.315331:0.000000 2:@0.848279:0.323214:0.857218:0.323214:0.857218:0.315218:0.848279:0.315218:0.000000 1:@0.857165:0.323538:0.862402:0.323538:0.862402:0.313957:0.857165:0.313957:0.000000 ? 5:@0.865577:0.329047:0.900790:0.329047:0.900790:0.315331:0.865577:0.315331:0.000000:0.000000:0.000000 1:@0.903919:0.329602:0.912902:0.329602:0.912902:0.313168:0.903919:0.313168:0.000000 Sean , :@0.082992:0.364868:0.156640:0.364868:0.156640:0.348435:0.082992:0.348435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b:@0.124943:0.364868:0.152461:0.364868:0.152461:0.348462:0.124943:0.348462:0.000000:0.000000:0.000000 [ :@0.158092:0.364578:0.177315:0.364578:0.177315:0.351169:0.158092:0.351169:0.000000:0.000000 R:@0.178896:0.363890:0.191582:0.363890:0.191582:0.351579:0.178896:0.351579:0.000000 . Cuando dé lugar a confusión, se utilizará la notación :@0.191766:0.364868:0.605456:0.364868:0.605456:0.348435:0.191766:0.348435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.606846:0.365026:0.616526:0.365026:0.616526:0.347874:0.606846:0.347874:0.000000 :@0.616676:0.363255:0.619604:0.363255:0.619604:0.354527:0.616676:0.354527:0.000000 :@0.620539:0.364314:0.635873:0.364314:0.635873:0.350598:0.620539:0.350598:0.000000 :@0.635888:0.363255:0.638816:0.363255:0.638816:0.354527:0.635888:0.354527:0.000000 b:@0.639750:0.365026:0.649430:0.365026:0.649430:0.347874:0.639750:0.347874:0.000000 , en caso contrario se escribirá :@0.649584:0.365026:0.895184:0.365026:0.895184:0.347845:0.649584:0.347845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ab:@0.896657:0.365026:0.916170:0.365026:0.916170:0.347874:0.896657:0.347874:0.000000:0.000000 :@0.916170:0.365026:0.920384:0.365026:0.920384:0.347845:0.916170:0.347845:0.000000:0.000000:0.000000 o también :@0.083003:0.382424:0.165714:0.382424:0.165714:0.365244:0.083003:0.365244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a.b.:@0.165560:0.382424:0.191277:0.382424:0.191277:0.365273:0.165560:0.365273:0.000000:0.000000:0.000000:0.000000 Las propiedades, de la 1 a la 4 descritas para el producto de números reales dan la estructura algebraica del :@0.083003:0.417685:0.920365:0.417685:0.920365:0.400504:0.083003:0.400504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 grupo conmutativo. Escribimos (:@0.083003:0.435083:0.334483:0.435083:0.334483:0.417902:0.083003:0.417902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.334449:0.434190:0.348343:0.434190:0.348343:0.420707:0.334449:0.420707:0.000000 2:@0.348343:0.434509:0.364373:0.434509:0.364373:0.420170:0.348343:0.420170:0.000000 {0}, ) y lo denominamos grupo conmutativo del producto de números :@0.364373:0.435089:0.920466:0.435089:0.920466:0.417909:0.364373:0.417909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.392431:0.435089:0.400225:0.435089:0.400225:0.417938:0.392431:0.417938:0.000000 reales.:@0.083008:0.452488:0.130271:0.452488:0.130271:0.435307:0.083008:0.435307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Las operaciones de adición y producto están relacionadas con la propiedad distributiva: para todo , , :@0.083008:0.487748:0.879765:0.487748:0.879765:0.470567:0.083008:0.470567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y z:@0.837139:0.487748:0.875550:0.487748:0.875550:0.470596:0.837139:0.470596:0.000000:0.000000:0.000000:0.000000:0.000000 [ :@0.879832:0.487308:0.898862:0.487308:0.898862:0.473898:0.879832:0.473898:0.000000:0.000000 R:@0.898927:0.486857:0.912822:0.486857:0.912822:0.473373:0.898927:0.473373:0.000000 ; :@0.912822:0.487756:0.920384:0.487756:0.920384:0.470575:0.912822:0.470575:0.000000:0.000000:0.000000:0.000000 x y:@0.083003:0.505154:0.103710:0.505154:0.103710:0.488002:0.083003:0.488002:0.000000:0.000000:0.000000 ( ) .:@0.090797:0.505154:0.224273:0.505154:0.224273:0.487973:0.090797:0.487973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.107924:0.504574:0.123954:0.504574:0.123954:0.490235:0.107924:0.490235:0.000000 z:@0.128169:0.505154:0.135732:0.505154:0.135732:0.488002:0.128169:0.488002:0.000000 5:@0.145046:0.504574:0.161076:0.504574:0.161076:0.490235:0.145046:0.490235:0.000000 xy:@0.165290:0.505154:0.181109:0.505154:0.181109:0.488002:0.165290:0.488002:0.000000:0.000000 1:@0.185323:0.504574:0.201354:0.504574:0.201354:0.490235:0.185323:0.490235:0.000000 xz:@0.205568:0.505154:0.220925:0.505154:0.220925:0.488002:0.205568:0.488002:0.000000:0.000000 DBA (Ev. 1.1) Utiliza la propiedad de densidad para justificar la necesidad de otras notaciones para subconjuntos de los números reales. :@0.083241:0.969525:0.793746:0.969525:0.793746:0.957574:0.083241:0.957574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@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