22:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
cción y expresión:@0.306489:0.840201:0.431360:0.840201:0.431360:0.824837:0.306489:0.824837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.284894:0.840987:0.296982:0.840987:0.296982:0.823852:0.284894:0.823852:0.000000
Ejemplos paso a paso:@0.287495:0.866300:0.442388:0.866300:0.442388:0.850936:0.287495:0.850936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.287495:0.893903:0.301722:0.893903:0.301722:0.877003:0.287495:0.877003:0.000000:0.000000
  Analicemos la función del ejemplo planteado inicialmente:  : :@0.301722:0.893903:0.762647:0.893903:0.762647:0.877514:0.301722:0.877514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f E:@0.750705:0.893903:0.770773:0.893903:0.770773:0.877542:0.750705:0.877542:0.000000:0.000000:0.000000
 :@0.770774:0.893589:0.774442:0.893589:0.774442:0.878690:0.770774:0.878690:0.000000
 :@0.801152:0.893589:0.804821:0.893589:0.804821:0.878690:0.801152:0.878690:0.000000
C:@0.804821:0.893903:0.814735:0.893903:0.814735:0.877542:0.804821:0.877542:0.000000
 =  ( ):@0.814735:0.893903:0.856382:0.893903:0.856382:0.877514:0.814735:0.877514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f E:@0.833789:0.893903:0.851498:0.893903:0.851498:0.877542:0.833789:0.877542:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.446967:0.480398:0.446967:0.480398:0.431603:0.306727:0.431603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.447753:0.297460:0.447753:0.297460:0.430617:0.284892:0.430617:0.000000
Función inyectiva:@0.287495:0.478095:0.464871:0.478095:0.464871:0.456585:0.287495:0.456585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,   dos conjuntos no vacíos cualesquiera. Se dice que una función :@0.287495:0.500876:0.907694:0.500876:0.907694:0.484487:0.287495:0.484487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.334615:0.500876:0.367858:0.500876:0.367858:0.484515:0.334615:0.484515:0.000000:0.000000:0.000000
f:@0.287495:0.517472:0.292194:0.517472:0.292194:0.501111:0.287495:0.501111:0.000000
 de   en   es inyectiva, o llamada también uno a uno, si y solo si se verifica que:@0.292194:0.517472:0.903511:0.517472:0.903511:0.501083:0.292194:0.501083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.323171:0.517472:0.333067:0.517472:0.333067:0.501111:0.323171:0.501111:0.000000
B:@0.363896:0.517472:0.372742:0.517472:0.372742:0.501111:0.363896:0.501111:0.000000
∀:@0.290008:0.540036:0.303147:0.540036:0.303147:0.524463:0.290008:0.524463:0.000000
∈:@0.339321:0.540036:0.352460:0.540036:0.352460:0.524463:0.339321:0.524463:0.000000
≠:@0.403449:0.540036:0.413566:0.540036:0.413566:0.524463:0.403449:0.524463:0.000000
⇒:@0.441926:0.540036:0.460114:0.540036:0.460114:0.524463:0.441926:0.524463:0.000000
≠:@0.503290:0.540036:0.513407:0.540036:0.513407:0.524463:0.503290:0.524463:0.000000
xx:@0.302944:0.539358:0.330033:0.539358:0.330033:0.522997:0.302944:0.522997:0.000000:0.000000
x:@0.386864:0.539358:0.394327:0.539358:0.394327:0.522997:0.386864:0.522997:0.000000
x:@0.418228:0.539358:0.425691:0.539358:0.425691:0.522997:0.418228:0.522997:0.000000
fx:@0.467909:0.539358:0.489248:0.539358:0.489248:0.522997:0.467909:0.522997:0.000000:0.000000
fx:@0.516650:0.539358:0.537989:0.539358:0.537989:0.522997:0.516650:0.522997:0.000000:0.000000
1:@0.310530:0.541362:0.315742:0.541362:0.315742:0.531864:0.310530:0.531864:0.000000
2:@0.330843:0.541362:0.336054:0.541362:0.336054:0.531864:0.330843:0.531864:0.000000
1:@0.394451:0.541362:0.399662:0.541362:0.399662:0.531864:0.394451:0.531864:0.000000
2:@0.426490:0.541362:0.431701:0.541362:0.431701:0.531864:0.426490:0.531864:0.000000
1:@0.489362:0.541362:0.494573:0.541362:0.494573:0.531864:0.489362:0.531864:0.000000
2:@0.538787:0.541362:0.543999:0.541362:0.543999:0.531864:0.538787:0.531864:0.000000
,:@0.316288:0.539358:0.319494:0.539358:0.319494:0.522969:0.316288:0.522969:0.000000
, A    :@0.365029:0.539358:0.386867:0.539358:0.386867:0.522969:0.365029:0.522969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.475116:0.539358:0.500306:0.539358:0.500306:0.522969:0.475116:0.522969:0.000000:0.000000
():@0.523860:0.539358:0.551262:0.539358:0.551262:0.522969:0.523860:0.522969:0.000000:0.000000
, o de manera equivalente::@0.553859:0.538847:0.747754:0.538847:0.747754:0.522458:0.553859:0.522458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.290008:0.570377:0.303147:0.570377:0.303147:0.554804:0.290008:0.554804:0.000000
∈:@0.339321:0.570377:0.352460:0.570377:0.352460:0.554804:0.339321:0.554804:0.000000
=:@0.414192:0.570377:0.424309:0.570377:0.424309:0.554804:0.414192:0.554804:0.000000
⇒:@0.469733:0.570377:0.487921:0.570377:0.487921:0.554804:0.469733:0.554804:0.000000
=:@0.516337:0.570377:0.526453:0.570377:0.526453:0.554804:0.516337:0.554804:0.000000
xx:@0.302944:0.569699:0.330033:0.569699:0.330033:0.553338:0.302944:0.553338:0.000000:0.000000
fx:@0.378793:0.569699:0.400132:0.569699:0.400132:0.553338:0.378793:0.553338:0.000000:0.000000
fx:@0.427220:0.569699:0.448560:0.569699:0.448560:0.553338:0.427220:0.553338:0.000000:0.000000
x:@0.499727:0.569699:0.507190:0.569699:0.507190:0.553338:0.499727:0.553338:0.000000
x:@0.530777:0.569699:0.538240:0.569699:0.538240:0.553338:0.530777:0.553338:0.000000
1:@0.310530:0.571703:0.315742:0.571703:0.315742:0.562205:0.310530:0.562205:0.000000
2:@0.330843:0.571703:0.336054:0.571703:0.336054:0.562205:0.330843:0.562205:0.000000
1:@0.400260:0.571703:0.405472:0.571703:0.405472:0.562205:0.400260:0.562205:0.000000
2:@0.449365:0.571703:0.454577:0.571703:0.454577:0.562205:0.449365:0.562205:0.000000
1:@0.507324:0.571703:0.512536:0.571703:0.512536:0.562205:0.507324:0.562205:0.000000
2:@0.539053:0.571703:0.544265:0.571703:0.544265:0.562205:0.539053:0.562205:0.000000
,:@0.316288:0.569699:0.319494:0.569699:0.319494:0.553311:0.316288:0.553311:0.000000
, ():@0.365029:0.569699:0.411209:0.569699:0.411209:0.553311:0.365029:0.553311:0.000000:0.000000:0.000000:0.000000
():@0.434446:0.569699:0.461848:0.569699:0.461848:0.553311:0.434446:0.553311:0.000000:0.000000
A :@0.353770:0.569699:0.374777:0.569699:0.374777:0.553311:0.353770:0.553311:0.000000:0.000000
  :@0.491664:0.569699:0.499735:0.569699:0.499735:0.553311:0.491664:0.553311:0.000000:0.000000
 :@0.546891:0.569699:0.550927:0.569699:0.550927:0.553311:0.546891:0.553311:0.000000
Es decir, una función es inyectiva si para elementos diferentes del domino siempre les :@0.287485:0.599711:0.907627:0.599711:0.907627:0.583322:0.287485:0.583322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
corresponden imágenes diferentes.:@0.287485:0.616308:0.546648:0.616308:0.546648:0.599919:0.287485:0.599919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función sobreyectiva:@0.287495:0.649064:0.502725:0.649064:0.502725:0.627554:0.287495:0.627554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una función   de   en   es sobreyectiva solo si Rec( ) =  . Se expresa::@0.287495:0.671845:0.789438:0.671845:0.789438:0.655456:0.287495:0.655456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.381587:0.671845:0.386286:0.671845:0.386286:0.655484:0.381587:0.655484:0.000000
A:@0.413319:0.671845:0.423215:0.671845:0.423215:0.655484:0.413319:0.655484:0.000000
B:@0.450101:0.671845:0.458946:0.671845:0.458946:0.655484:0.450101:0.655484:0.000000
f :@0.660152:0.671845:0.668168:0.671845:0.668168:0.655484:0.660152:0.655484:0.000000:0.000000
B:@0.692106:0.671845:0.700951:0.671845:0.700951:0.655484:0.692106:0.655484:0.000000
Rec():@0.289432:0.694312:0.333824:0.694312:0.333824:0.677923:0.289432:0.677923:0.000000:0.000000:0.000000:0.000000:0.000000
 tal que :@0.492707:0.694312:0.551657:0.694312:0.551657:0.677923:0.492707:0.677923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.431970:0.694312:0.435176:0.694312:0.435176:0.677923:0.431970:0.677923:0.000000
,:@0.486995:0.694312:0.490201:0.694312:0.490201:0.677923:0.486995:0.677923:0.000000
():@0.584108:0.694312:0.604913:0.694312:0.604913:0.677923:0.584108:0.677923:0.000000:0.000000
f:@0.320833:0.694312:0.325532:0.694312:0.325532:0.677951:0.320833:0.677951:0.000000
B:@0.349838:0.694312:0.358683:0.694312:0.358683:0.677951:0.349838:0.677951:0.000000
yB:@0.398100:0.694312:0.431288:0.694312:0.431288:0.677951:0.398100:0.677951:0.000000:0.000000
xA:@0.451761:0.694312:0.487105:0.694312:0.487105:0.677951:0.451761:0.677951:0.000000:0.000000
yf x:@0.551639:0.694312:0.598205:0.694312:0.598205:0.677951:0.551639:0.677951:0.000000:0.000000:0.000000:0.000000
=⇔ ∀∈:@0.336809:0.694989:0.421411:0.694989:0.421411:0.679417:0.336809:0.679417:0.000000:0.000000:0.000000:0.000000:0.000000
∃∈:@0.441718:0.694989:0.475072:0.694989:0.475072:0.679417:0.441718:0.679417:0.000000:0.000000
=:@0.563856:0.694989:0.573973:0.694989:0.573973:0.679417:0.563856:0.679417:0.000000
Por consiguiente, una función es sobreyectiva cuando todos los elementos del con-:@0.287497:0.724324:0.903695:0.724324:0.903695:0.707935:0.287497:0.707935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
junto de llegada   son imágenes de algún elemento del conjunto de partida  .:@0.287497:0.740920:0.865012:0.740920:0.865012:0.724531:0.287497:0.724531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.411091:0.740920:0.419937:0.740920:0.419937:0.724559:0.411091:0.724559:0.000000
A:@0.851910:0.740920:0.861805:0.740920:0.861805:0.724559:0.851910:0.724559:0.000000
Función biyectiva:@0.287495:0.773678:0.465551:0.773678:0.465551:0.752168:0.287495:0.752168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean   y   dos conjuntos no vacíos cualesquiera, una función o aplicación   de   en   :@0.287495:0.796459:0.907713:0.796459:0.907713:0.780070:0.287495:0.780070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.326986:0.796459:0.361169:0.796459:0.361169:0.780097:0.326986:0.780097:0.000000:0.000000:0.000000
f:@0.827792:0.796459:0.832491:0.796459:0.832491:0.780097:0.827792:0.780097:0.000000
A:@0.858787:0.796459:0.868683:0.796459:0.868683:0.780097:0.858787:0.780097:0.000000
B:@0.894832:0.796459:0.903677:0.796459:0.903677:0.780097:0.894832:0.780097:0.000000
es biyectiva si y solo si   es inyectiva y sobreyectiva.:@0.287495:0.813055:0.658825:0.813055:0.658825:0.796666:0.287495:0.796666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.453066:0.813055:0.457765:0.813055:0.457765:0.796694:0.453066:0.796694:0.000000
Pienso y progreso:@0.294883:0.373939:0.417347:0.373939:0.417347:0.358575:0.294883:0.358575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Por qué consideras que las contraseñas o claves son necesarias?:@0.294883:0.392590:0.725916:0.392590:0.725916:0.377691:0.294883:0.377691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una empresa cuenta con 500 empleados y utiliza un sistema de seguridad que :@0.287495:0.168345:0.907714:0.168345:0.907714:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
requiere asignar a cada empleado una clave de acceso única de 4 dígitos (entre 0000 :@0.287495:0.184941:0.907678:0.184941:0.907678:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y 9999). :@0.287495:0.201538:0.347735:0.201538:0.347735:0.185149:0.287495:0.185149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si llamamos   al conjunto de empleados,   al conjunto de todas las claves posibles de :@0.287495:0.225257:0.907692:0.225257:0.907692:0.208868:0.287495:0.208868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.377865:0.225257:0.385991:0.225257:0.385991:0.208896:0.377865:0.208896:0.000000
C:@0.585632:0.225257:0.595547:0.225257:0.595547:0.208896:0.585632:0.208896:0.000000
4 dígitos, podemos establecer la siguiente función, mediante la cual se asigna a cada :@0.287495:0.241853:0.907714:0.241853:0.907714:0.225464:0.287495:0.225464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
empleado una sola clave de acceso::@0.287495:0.258450:0.549993:0.258450:0.549993:0.242061:0.287495:0.242061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f E:@0.287495:0.282169:0.307563:0.282169:0.307563:0.265807:0.287495:0.265807:0.000000:0.000000:0.000000
: :@0.292194:0.282169:0.299437:0.282169:0.299437:0.265780:0.292194:0.265780:0.000000:0.000000
 :@0.307561:0.281864:0.311230:0.281864:0.311230:0.266965:0.307561:0.266965:0.000000
 :@0.337942:0.281864:0.341611:0.281864:0.341611:0.266965:0.337942:0.266965:0.000000
C:@0.341611:0.282179:0.351525:0.282179:0.351525:0.265817:0.341611:0.265817:0.000000
 =  ( ) :@0.351525:0.282179:0.397207:0.282179:0.397207:0.265790:0.351525:0.265790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f E:@0.370579:0.282179:0.388288:0.282179:0.388288:0.265817:0.370579:0.265817:0.000000:0.000000:0.000000
Responde a las siguientes preguntas::@0.287489:0.305898:0.557929:0.305898:0.557929:0.289509:0.287489:0.289509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es el dominio y recorrido de la función?; ¿es el dominio igual al conjunto de :@0.287489:0.329617:0.907770:0.329617:0.907770:0.313228:0.287489:0.313228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llegada de la función?, ¿por qué?:@0.287489:0.346213:0.527066:0.346213:0.527066:0.329824:0.287489:0.329824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 :@0.094760:0.108603:0.183816:0.108603:0.183816:0.011514:0.094760:0.011514:0.000000:0.000000
Funciones biyectivas:@0.286308:0.075160:0.592317:0.075160:0.592317:0.041608:0.286308:0.041608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una función también se :@0.085302:0.579001:0.248906:0.579001:0.248906:0.564102:0.085302:0.564102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede representar :@0.121973:0.594089:0.248904:0.594089:0.248904:0.579190:0.121973:0.579190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mediante un diagrama :@0.092707:0.609176:0.248904:0.609176:0.248904:0.594277:0.092707:0.594277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sagital o de Venn-Euler.:@0.091433:0.624264:0.245235:0.624264:0.245235:0.609365:0.091433:0.609365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–30:@0.091400:0.671614:0.116126:0.671614:0.116126:0.656715:0.091400:0.656715:0.000000:0.000000:0.000000
–25:@0.092238:0.693830:0.116964:0.693830:0.116964:0.678931:0.092238:0.678931:0.000000:0.000000:0.000000
–20:@0.091400:0.716047:0.116126:0.716047:0.116126:0.701148:0.091400:0.701148:0.000000:0.000000:0.000000
–15:@0.091400:0.738263:0.116126:0.738263:0.116126:0.723364:0.091400:0.723364:0.000000:0.000000:0.000000
0:@0.198336:0.660502:0.206511:0.660502:0.206511:0.645603:0.198336:0.645603:0.000000
1:@0.198336:0.682718:0.206511:0.682718:0.206511:0.667819:0.198336:0.667819:0.000000
2:@0.198336:0.704935:0.206511:0.704935:0.206511:0.690036:0.198336:0.690036:0.000000
3:@0.198336:0.727151:0.206511:0.727151:0.206511:0.712252:0.198336:0.712252:0.000000
4:@0.198336:0.749368:0.206511:0.749368:0.206511:0.734469:0.198336:0.734469:0.000000
A:@0.068579:0.646900:0.077575:0.646900:0.077575:0.632026:0.068579:0.632026:0.000000
f:@0.151973:0.646900:0.156245:0.646900:0.156245:0.632026:0.151973:0.632026:0.000000
B:@0.229687:0.646900:0.237728:0.646900:0.237728:0.632026:0.229687:0.632026:0.000000
¿La función del diagrama :@0.083857:0.779696:0.248245:0.779696:0.248245:0.764822:0.083857:0.764822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representado es :@0.145741:0.794784:0.248249:0.794784:0.248249:0.779910:0.145741:0.779910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobreyectiva?, ¿por qué?:@0.094143:0.809872:0.245232:0.809872:0.245232:0.794998:0.094143:0.794998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.116277:0.546559:0.223818:0.546559:0.223818:0.529658:0.116277:0.529658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Tienes alguna :@0.146748:0.183091:0.248905:0.183091:0.248905:0.168192:0.146748:0.168192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contraseña?, ¿para qué la :@0.077846:0.198178:0.248905:0.198178:0.248905:0.183279:0.077846:0.183279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
usas?:@0.209855:0.213266:0.245236:0.213266:0.245236:0.198367:0.209855:0.198367:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.109592:0.154214:0.228827:0.154214:0.228827:0.137314:0.109592:0.137314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las claves también llamadas :@0.072616:0.407567:0.241267:0.407567:0.241267:0.394158:0.072616:0.394158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contraseñas sirven para :@0.072616:0.420138:0.217023:0.420138:0.217023:0.406729:0.072616:0.406729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proteger el acceso a :@0.072616:0.432710:0.196897:0.432710:0.196897:0.419301:0.072616:0.419301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
información, sistemas, :@0.072616:0.445282:0.208097:0.445282:0.208097:0.431873:0.072616:0.431873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dispositivos o cuentas :@0.072616:0.457854:0.208052:0.457854:0.208052:0.444445:0.072616:0.444445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
personales. :@0.072616:0.470425:0.143160:0.470425:0.143160:0.457016:0.072616:0.457016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.070380:0.350219:0.070380:0.307393:0.058469:0.307393:0.058469:0.350219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000