71:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento numérico y variacional:@0.603717:0.043661:0.926913:0.043661:0.926913:0.024916:0.603717:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.3 Propiedad fundamental de las proporciones:@0.073089:0.136836:0.446616:0.136836:0.446616:0.119889:0.073089:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para el caso anterior, realizamos la siguiente operación para probar si la igualdad entre las :@0.073089:0.164199:0.710624:0.164199:0.710624:0.147766:0.073089:0.147766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
razones representa una proporción o no::@0.073089:0.180841:0.367829:0.180841:0.367829:0.164407:0.073089:0.164407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.342749:0.206209:0.350915:0.206209:0.350915:0.191269:0.342749:0.191269:0.000000
60 000:@0.324760:0.219232:0.368921:0.219232:0.368921:0.204292:0.324760:0.204292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.376115:0.213527:0.399345:0.213527:0.399345:0.197094:0.376115:0.197094:0.000000:0.000000:0.000000
5:@0.380072:0.212973:0.395405:0.212973:0.395405:0.199257:0.380072:0.199257:0.000000
12:@0.422481:0.207103:0.438746:0.207103:0.438746:0.192163:0.422481:0.192163:0.000000:0.000000
240 000:@0.404492:0.220126:0.456752:0.220126:0.456752:0.205186:0.404492:0.205186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3  240 000   12   60 000:@0.290671:0.240891:0.488789:0.240891:0.488789:0.224457:0.290671:0.224457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.303520:0.240336:0.318853:0.240336:0.318853:0.226620:0.303520:0.226620:0.000000
5:@0.380075:0.240336:0.395409:0.240336:0.395409:0.226620:0.380075:0.226620:0.000000
3:@0.421013:0.240336:0.436346:0.240336:0.436346:0.226620:0.421013:0.226620:0.000000
720 000   720 000:@0.320731:0.268252:0.458730:0.268252:0.458730:0.251819:0.320731:0.251819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.382045:0.267698:0.397378:0.267698:0.397378:0.253982:0.382045:0.253982:0.000000
Al obtener una identidad, se puede concluir, que la igualdad entre las razones, si :@0.073079:0.295614:0.710648:0.295614:0.710648:0.279181:0.073079:0.279181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
corresponde a una proporción.:@0.073079:0.312256:0.298064:0.312256:0.298064:0.295822:0.073079:0.295822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La igualdad entre razones       es una proporción, si y solo si              .:@0.106162:0.344379:0.676472:0.344379:0.676472:0.327945:0.106162:0.327945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.299743:0.337954:0.308160:0.337954:0.308160:0.323039:0.299743:0.323039:0.000000
b:@0.299743:0.350978:0.308160:0.350978:0.308160:0.336063:0.299743:0.336063:0.000000
5:@0.315561:0.343824:0.330895:0.343824:0.330895:0.330108:0.315561:0.330108:0.000000
c:@0.338999:0.337954:0.345960:0.337954:0.345960:0.323039:0.338999:0.323039:0.000000
d:@0.338279:0.350978:0.346696:0.350978:0.346696:0.336063:0.338279:0.336063:0.000000
a:@0.568661:0.344379:0.577920:0.344379:0.577920:0.327973:0.568661:0.327973:0.000000
3 5 3:@0.581804:0.343824:0.660219:0.343824:0.660219:0.330108:0.581804:0.330108:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.601003:0.344379:0.610262:0.344379:0.610262:0.327973:0.601003:0.327973:0.000000
c:@0.633344:0.344379:0.641002:0.344379:0.641002:0.327973:0.633344:0.327973:0.000000
b:@0.664084:0.344379:0.673343:0.344379:0.673343:0.327973:0.664084:0.327973:0.000000
1.4 Magnitudes correlacionadas:@0.073101:0.381712:0.323780:0.381712:0.323780:0.364765:0.073101:0.364765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos magnitudes están correlacionadas si tienen el mismo comportamiento, esto quiere :@0.073101:0.405496:0.710850:0.405496:0.710850:0.389062:0.073101:0.389062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decir que, si una de las cantidades aumenta, la otra también debe hacerlo. Del mismo :@0.073101:0.422138:0.710568:0.422138:0.710568:0.405704:0.073101:0.405704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
modo, si una de las cantidades disminuye, la otra también debe hacerlo, aunque no :@0.073101:0.438780:0.710068:0.438780:0.710068:0.422346:0.073101:0.422346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
necesariamente en la misma proporción.:@0.073101:0.455421:0.369318:0.455421:0.369318:0.438988:0.073101:0.438988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.073101:0.479205:0.148884:0.479205:0.148884:0.462536:0.073101:0.462536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El precio de la gasolina ha aumentado en los :@0.073101:0.502989:0.414714:0.502989:0.414714:0.486556:0.073101:0.486556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
últimos años; esto ha implicado un incremento :@0.073101:0.519631:0.414627:0.519631:0.414627:0.503197:0.073101:0.503197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el costo de los servicios de transporte de :@0.073101:0.536273:0.414861:0.536273:0.414861:0.519839:0.073101:0.519839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Transmilenio.  La  siguiente  gráfica presenta :@0.073101:0.552915:0.414813:0.552915:0.414813:0.536481:0.073101:0.536481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estos datos durante el periodo comprendido :@0.073101:0.569557:0.414931:0.569557:0.414931:0.553123:0.073101:0.553123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre 2018 y 2023.:@0.073101:0.586199:0.205738:0.586199:0.205738:0.569765:0.073101:0.569765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como podemos observar, cada vez que una de :@0.073101:0.609982:0.414951:0.609982:0.414951:0.593549:0.073101:0.593549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las variables aumenta, la otra también lo hace.:@0.073101:0.626624:0.406110:0.626624:0.406110:0.610191:0.073101:0.610191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Lo anterior también podría ser representado :@0.073101:0.650408:0.414585:0.650408:0.414585:0.633974:0.073101:0.633974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por medio de una tabla de datos como :@0.073101:0.667050:0.414869:0.667050:0.414869:0.650616:0.073101:0.650616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la siguiente::@0.073101:0.683692:0.159350:0.683692:0.159350:0.667258:0.073101:0.667258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pasaje de Transmilenio:@0.157781:0.713453:0.336911:0.713453:0.336911:0.696506:0.157781:0.696506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Costo de la gasolina (por galón):@0.365765:0.713453:0.613723:0.713453:0.613723:0.696506:0.365765:0.696506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2200:@0.231101:0.736888:0.263564:0.736888:0.263564:0.721948:0.231101:0.721948:0.000000:0.000000:0.000000:0.000000
6400:@0.473491:0.736888:0.505954:0.736888:0.505954:0.721948:0.473491:0.721948:0.000000:0.000000:0.000000:0.000000
2300:@0.231101:0.760640:0.263564:0.760640:0.263564:0.745700:0.231101:0.745700:0.000000:0.000000:0.000000:0.000000
7800:@0.473491:0.760640:0.505954:0.760640:0.505954:0.745700:0.473491:0.745700:0.000000:0.000000:0.000000:0.000000
2400:@0.231101:0.784393:0.263564:0.784393:0.263564:0.769453:0.231101:0.769453:0.000000:0.000000:0.000000:0.000000
8000:@0.473491:0.784393:0.505954:0.784393:0.505954:0.769453:0.473491:0.769453:0.000000:0.000000:0.000000:0.000000
2500:@0.231101:0.808145:0.263564:0.808145:0.263564:0.793205:0.231101:0.793205:0.000000:0.000000:0.000000:0.000000
9800:@0.473491:0.808145:0.505954:0.808145:0.505954:0.793205:0.473491:0.793205:0.000000:0.000000:0.000000:0.000000
2650:@0.231101:0.831898:0.263564:0.831898:0.263564:0.816958:0.231101:0.816958:0.000000:0.000000:0.000000:0.000000
10 100:@0.467651:0.831898:0.511811:0.831898:0.511811:0.816958:0.467651:0.816958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2950:@0.231101:0.855650:0.263564:0.855650:0.263564:0.840710:0.231101:0.840710:0.000000:0.000000:0.000000:0.000000
15 600:@0.467651:0.855650:0.511811:0.855650:0.511811:0.840710:0.467651:0.840710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos :@0.080915:0.893949:0.113673:0.893949:0.113673:0.877515:0.080915:0.877515:0.000000:0.000000:0.000000:0.000000
magnitudes:@0.113445:0.893949:0.205662:0.893949:0.205662:0.877279:0.113445:0.877279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 están :@0.205647:0.893949:0.253285:0.893949:0.253285:0.877515:0.205647:0.877515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
correlacionadas:@0.253046:0.893949:0.374188:0.893949:0.374188:0.877279:0.253046:0.877279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si tienen el mismo comportamiento, lo que :@0.374147:0.893949:0.698093:0.893949:0.698093:0.877515:0.374147:0.877515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
implica que, si una aumenta, la otra también lo hace; y, si una disminuye, la otra :@0.080920:0.910591:0.697933:0.910591:0.697933:0.894157:0.080920:0.894157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
también lo hace.:@0.080920:0.927233:0.203247:0.927233:0.203247:0.910799:0.080920:0.910799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 7 (Ev. 1) Plantea modelos algebraicos, gráficos o numéricos en los que identifica variables y rangos de variación de las variables.:@0.082576:0.971366:0.775407:0.971366:0.775407:0.959414:0.082576:0.959414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La frecuencia cardíaca (FC) :@0.740548:0.190969:0.919356:0.190969:0.919356:0.176029:0.740548:0.176029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es la cantidad de veces :@0.740548:0.204837:0.895999:0.204837:0.895999:0.189897:0.740548:0.189897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que el corazón late por :@0.740548:0.218705:0.895909:0.218705:0.895909:0.203765:0.740548:0.203765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
minuto. La intensidad del :@0.740548:0.232573:0.911249:0.232573:0.911249:0.217634:0.740548:0.217634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejercicio se refiere al nivel :@0.740548:0.246442:0.911177:0.246442:0.911177:0.231502:0.740548:0.231502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de esfuerzo físico durante :@0.740548:0.260310:0.913759:0.260310:0.913759:0.245370:0.740548:0.245370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una actividad. Existe una :@0.740548:0.274178:0.905894:0.274178:0.905894:0.259238:0.740548:0.259238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relación directa entre la :@0.740548:0.288046:0.898574:0.288046:0.898574:0.273106:0.740548:0.273106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intensidad del ejercicio :@0.740548:0.301914:0.896310:0.301914:0.896310:0.286975:0.740548:0.286975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y la FC: a medida que la :@0.740548:0.315783:0.899286:0.315783:0.899286:0.300843:0.740548:0.300843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intensidad del ejercicio :@0.740548:0.329651:0.896310:0.329651:0.896310:0.314711:0.740548:0.314711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aumenta, la FC también :@0.740548:0.343519:0.901461:0.343519:0.901461:0.328579:0.740548:0.328579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incrementa.:@0.740548:0.357387:0.819142:0.357387:0.819142:0.342447:0.740548:0.342447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aumentar la FC fortalece :@0.740548:0.371255:0.907482:0.371255:0.907482:0.356316:0.740548:0.356316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el corazón, mejora :@0.740548:0.385124:0.865192:0.385124:0.865192:0.370184:0.740548:0.370184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la circulación, ayuda :@0.740548:0.398992:0.876732:0.398992:0.876732:0.384052:0.740548:0.384052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a controlar el peso y :@0.740548:0.412860:0.876889:0.412860:0.876889:0.397920:0.740548:0.397920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aumenta la capacidad :@0.740548:0.426728:0.890115:0.426728:0.890115:0.411788:0.740548:0.411788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pulmonar. :@0.740548:0.440596:0.811610:0.440596:0.811610:0.425657:0.740548:0.425657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo cambia tu FC :@0.740548:0.454465:0.881809:0.454465:0.881809:0.439525:0.740548:0.439525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a medida que realizas :@0.740548:0.468333:0.886747:0.468333:0.886747:0.453393:0.740548:0.453393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejercicios de diferentes :@0.740548:0.482201:0.894941:0.482201:0.894941:0.467261:0.740548:0.467261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intensidades y cómo :@0.740548:0.496069:0.881190:0.496069:0.881190:0.481129:0.740548:0.481129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puedes usar razones y :@0.740548:0.509937:0.889958:0.509937:0.889958:0.494997:0.740548:0.494997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporciones para analizar :@0.740548:0.523806:0.918683:0.523806:0.918683:0.508866:0.740548:0.508866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esta relación?:@0.740548:0.537674:0.829684:0.537674:0.829684:0.522734:0.740548:0.522734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cátedra :@0.740294:0.139171:0.799873:0.139171:0.799873:0.123765:0.740294:0.123765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de salud y :@0.740294:0.154300:0.815830:0.154300:0.815830:0.138894:0.740294:0.138894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bienestar:@0.740294:0.169429:0.807982:0.169429:0.807982:0.154023:0.740294:0.154023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Valor del galón de gasolina:@0.436682:0.615009:0.436682:0.504016:0.420385:0.504016:0.420385:0.615009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Valor del pasaje del Transmilenio:@0.485845:0.628927:0.663354:0.628927:0.663354:0.616649:0.485845:0.616649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20 000:@0.444113:0.517094:0.480682:0.517094:0.480682:0.504816:0.444113:0.504816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
15 000:@0.444113:0.539019:0.480682:0.539019:0.480682:0.526741:0.444113:0.526741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10 000:@0.444113:0.561245:0.480682:0.561245:0.480682:0.548966:0.444113:0.548966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5000:@0.453836:0.583802:0.480682:0.583802:0.480682:0.571523:0.453836:0.571523:0.000000:0.000000:0.000000:0.000000
2200:@0.469239:0.613187:0.496085:0.613187:0.496085:0.600909:0.469239:0.600909:0.000000:0.000000:0.000000:0.000000
2400:@0.529078:0.613187:0.555924:0.613187:0.555924:0.600909:0.529078:0.600909:0.000000:0.000000:0.000000:0.000000
2600:@0.588160:0.613187:0.615006:0.613187:0.615006:0.600909:0.588160:0.600909:0.000000:0.000000:0.000000:0.000000
2800:@0.647243:0.613187:0.674089:0.613187:0.674089:0.600909:0.647243:0.600909:0.000000:0.000000:0.000000:0.000000
0:@0.473956:0.603986:0.480668:0.603986:0.480668:0.591708:0.473956:0.591708:0.000000
Identidad:@0.746150:0.727675:0.813024:0.726355:0.812497:0.711206:0.745623:0.712525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Una :@0.812926:0.726357:0.849927:0.725627:0.849408:0.710692:0.812407:0.711422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
identidad es una :@0.746673:0.742798:0.860590:0.740551:0.860071:0.725616:0.746154:0.727864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igualdad matemática :@0.747199:0.757922:0.891222:0.755080:0.890702:0.740146:0.746680:0.742987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que es cierta para :@0.747724:0.773046:0.868209:0.770669:0.867690:0.755734:0.747205:0.758111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cualquier valor de las :@0.748250:0.788170:0.890607:0.785361:0.890088:0.770426:0.747731:0.773235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
variables involucradas, :@0.748776:0.803294:0.899758:0.800315:0.899239:0.785380:0.748257:0.788359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es decir, aunque dos :@0.749302:0.818417:0.888038:0.815680:0.887519:0.800745:0.748782:0.803483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
objetos se escriban :@0.749827:0.833541:0.880142:0.830970:0.879622:0.816035:0.749308:0.818606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferente, son el mismo :@0.750353:0.848665:0.907907:0.845556:0.907388:0.830622:0.749834:0.833730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
objeto. Por ejemplo, 2 + :@0.750879:0.863789:0.911762:0.860614:0.911243:0.845680:0.750359:0.848854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 siempre será igual a 5.:@0.751404:0.878913:0.908084:0.875821:0.907565:0.860886:0.750885:0.863978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.799205:0.704581:0.858825:0.704581:0.858825:0.689175:0.799205:0.689175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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