138:@0.032380:0.974518:0.061577:0.974518:0.061577:0.956590:0.032380:0.956590:0.000000:0.000000:0.000000
Funciones:@0.073089:0.043661:0.163813:0.043661:0.163813:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El grafo de   es el conjunto  ( ) = {( , 2 ) |      }.:@0.293660:0.140040:0.638353:0.140040:0.638353:0.123606:0.293660:0.123606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.374137:0.140040:0.378830:0.140040:0.378830:0.123634:0.374137:0.123634:0.000000
G f:@0.489035:0.140040:0.509356:0.140040:0.509356:0.123634:0.489035:0.123634:0.000000:0.000000:0.000000
x:@0.542471:0.140040:0.549926:0.140040:0.549926:0.123634:0.542471:0.123634:0.000000
x:@0.565847:0.133976:0.570193:0.133976:0.570193:0.124411:0.565847:0.124411:0.000000
x:@0.586665:0.140040:0.594120:0.140040:0.594120:0.123634:0.586665:0.123634:0.000000
∈ ℝ:@0.597949:0.140622:0.630438:0.140622:0.630438:0.122968:0.597949:0.122968:0.000000:0.000000:0.000000
Observa que la gráfica de   se extiende hacia arriba en la medida en que   > 0 sea :@0.293658:0.167402:0.930899:0.167402:0.930899:0.150968:0.293658:0.150968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.495144:0.167402:0.499838:0.167402:0.499838:0.150996:0.495144:0.150996:0.000000
x:@0.857749:0.167402:0.865204:0.167402:0.865204:0.150996:0.857749:0.150996:0.000000
suficientemente grande. Por otro lado, la gráfica se aproxima al eje   tanto como se :@0.293640:0.184044:0.930916:0.184044:0.930916:0.167610:0.293640:0.167610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.803981:0.184044:0.811436:0.184044:0.811436:0.167637:0.803981:0.167637:0.000000
quiera, en la medida en que –   sea muy grande, con   < 0.:@0.293640:0.200685:0.717504:0.200685:0.717504:0.184252:0.293640:0.184252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.512907:0.200685:0.520362:0.200685:0.520362:0.184279:0.512907:0.184279:0.000000
x:@0.679198:0.200685:0.686653:0.200685:0.686653:0.184279:0.679198:0.184279:0.000000
La función   es estrictamente creciente, y se evidencia en la Figura 3. de   . Además, esta :@0.293622:0.228047:0.930958:0.228047:0.930958:0.211614:0.293622:0.211614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.374025:0.228047:0.378718:0.228047:0.378718:0.211641:0.374025:0.211641:0.000000
f:@0.818909:0.228047:0.823603:0.228047:0.823603:0.211641:0.818909:0.211641:0.000000
es una función biyectiva.:@0.293603:0.244689:0.472617:0.244689:0.472617:0.228255:0.293603:0.228255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Demostración de biyección:@0.293603:0.272051:0.493528:0.272051:0.493528:0.255617:0.293603:0.255617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Inyectiva:@0.293660:0.299418:0.392055:0.299418:0.392055:0.282749:0.293660:0.282749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,       con   <  . Existe     :@0.323784:0.319638:0.595835:0.319633:0.595835:0.303199:0.323784:0.303204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.363194:0.319638:0.390293:0.319633:0.390293:0.303227:0.363194:0.303232:0.000000:0.000000:0.000000
1:@0.370581:0.322805:0.375818:0.322805:0.375818:0.313224:0.370581:0.313224:0.000000
2:@0.390231:0.322805:0.395468:0.322805:0.395468:0.313224:0.390231:0.313224:0.000000
∈ ℝ:@0.399378:0.320215:0.431867:0.320215:0.431867:0.302561:0.399378:0.302561:0.000000:0.000000:0.000000
x:@0.467301:0.319633:0.474756:0.319633:0.474756:0.303227:0.467301:0.303227:0.000000
1:@0.474677:0.322805:0.479914:0.322805:0.479914:0.313224:0.474677:0.313224:0.000000
x:@0.498660:0.319633:0.506115:0.319633:0.506115:0.303227:0.498660:0.303227:0.000000
2:@0.506046:0.322805:0.511283:0.322805:0.511283:0.313224:0.506046:0.313224:0.000000
p:@0.563475:0.319633:0.572734:0.319633:0.572734:0.303227:0.563475:0.303227:0.000000
∈ ℝ:@0.576563:0.320215:0.609052:0.320215:0.609052:0.302561:0.576563:0.302561:0.000000:0.000000:0.000000
+:@0.608943:0.312308:0.615339:0.312308:0.615339:0.302727:0.608943:0.302727:0.000000
, tal que   =   +  .:@0.615292:0.319633:0.751537:0.319633:0.751537:0.303199:0.615292:0.303199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.676404:0.319633:0.683859:0.319633:0.683859:0.303227:0.676404:0.303227:0.000000
2:@0.683795:0.322805:0.689032:0.322805:0.689032:0.313224:0.683795:0.313224:0.000000
x:@0.707780:0.319633:0.715235:0.319633:0.715235:0.303227:0.707780:0.303227:0.000000
1:@0.715164:0.322805:0.720401:0.322805:0.720401:0.313224:0.715164:0.313224:0.000000
p:@0.739149:0.319633:0.748408:0.319633:0.748408:0.303227:0.739149:0.303227:0.000000
Luego,:@0.323771:0.339853:0.372703:0.339853:0.372703:0.323419:0.323771:0.323419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2  = 2:@0.564354:0.360073:0.610559:0.360065:0.610559:0.343631:0.564354:0.343639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.573268:0.354001:0.577614:0.354001:0.577614:0.344436:0.573268:0.344436:0.000000
2:@0.577571:0.356524:0.582808:0.356524:0.582808:0.346943:0.577571:0.346943:0.000000
x +p:@0.610457:0.354001:0.631705:0.354001:0.631705:0.344436:0.610457:0.344436:0.000000:0.000000:0.000000:0.000000
1:@0.614761:0.356524:0.619998:0.356524:0.619998:0.346943:0.614761:0.346943:0.000000
 = 2 2 ,:@0.631673:0.360065:0.686325:0.360065:0.686325:0.343631:0.631673:0.343631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x:@0.659365:0.354001:0.677972:0.354001:0.677972:0.344436:0.659365:0.344436:0.000000:0.000000:0.000000
1:@0.677929:0.356524:0.683166:0.356524:0.683166:0.346943:0.677929:0.346943:0.000000
y como 2  > 1, de esta igualdad se deduce 2  > 2 .:@0.323776:0.387427:0.692758:0.387427:0.692758:0.370993:0.323776:0.370993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.391150:0.381363:0.396548:0.381363:0.396548:0.371798:0.391150:0.371798:0.000000
x:@0.642867:0.381363:0.647214:0.381363:0.647214:0.371798:0.642867:0.371798:0.000000
1:@0.647171:0.383886:0.652408:0.383886:0.652408:0.374305:0.647171:0.374305:0.000000
x:@0.680059:0.381363:0.684405:0.381363:0.684405:0.371798:0.680059:0.371798:0.000000
2:@0.684362:0.383886:0.689599:0.383886:0.689599:0.374305:0.684362:0.374305:0.000000
2.  Sobreyectiva:@0.293660:0.414790:0.422092:0.414790:0.422092:0.398121:0.293660:0.398121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea     :@0.323784:0.439656:0.384639:0.439656:0.384639:0.423222:0.323784:0.423222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.353733:0.439656:0.361206:0.439656:0.361206:0.423250:0.353733:0.423250:0.000000
∈ ℝ:@0.365366:0.440238:0.398187:0.440238:0.398187:0.422584:0.365366:0.422584:0.000000:0.000000:0.000000
+:@0.398091:0.432327:0.404487:0.432327:0.404487:0.422746:0.398091:0.422746:0.000000
. Halla      , tal que   = 2 . Admitimos que esta ecuación siempre tiene :@0.404440:0.439652:0.931229:0.439652:0.931229:0.423218:0.404440:0.423218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.451839:0.439652:0.459294:0.439652:0.459294:0.423246:0.451839:0.423246:0.000000
∈ ℝ:@0.463454:0.440235:0.496274:0.440235:0.496274:0.422580:0.463454:0.422580:0.000000:0.000000:0.000000
y:@0.558288:0.439652:0.565761:0.439652:0.565761:0.423246:0.558288:0.423246:0.000000
x:@0.594041:0.433588:0.598388:0.433588:0.598388:0.424023:0.594041:0.424023:0.000000
solución en  , a la que notamos :@0.323786:0.456294:0.561681:0.456294:0.561681:0.439860:0.323786:0.439860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.411718:0.456876:0.425008:0.456876:0.425008:0.439222:0.411718:0.439222:0.000000
.:@0.568768:0.456294:0.572100:0.456294:0.572100:0.439888:0.568768:0.439888:0.000000
Como la función es inyectiva y sobreyectiva, se concluye que es biyectiva. :@0.323781:0.483657:0.860540:0.483657:0.860540:0.467223:0.323781:0.467223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.  Sea   la función real definida como  :  :@0.293660:0.523543:0.603299:0.523543:0.603299:0.506874:0.293660:0.506874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.354727:0.523543:0.359421:0.523543:0.359421:0.507137:0.354727:0.507137:0.000000
f:@0.587211:0.523543:0.591904:0.523543:0.591904:0.507137:0.587211:0.507137:0.000000
ℝ:@0.610809:0.514557:0.624099:0.514557:0.624099:0.496902:0.610809:0.496902:0.000000
   :@0.624099:0.513974:0.647819:0.513973:0.647819:0.497539:0.624099:0.497540:0.000000:0.000000:0.000000
:@0.628130:0.513299:0.643785:0.513299:0.643785:0.498221:0.628130:0.498221:0.000000
ℝ:@0.647819:0.514555:0.661109:0.514555:0.661109:0.496901:0.647819:0.496901:0.000000
+:@0.661109:0.506648:0.667505:0.506648:0.667505:0.497067:0.661109:0.497067:0.000000
x:@0.610809:0.536249:0.618264:0.536249:0.618264:0.519843:0.610809:0.519843:0.000000
    ( ) =   :@0.618264:0.536249:0.703555:0.536249:0.703555:0.519815:0.618264:0.519815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.622295:0.535575:0.637950:0.535575:0.637950:0.520497:0.622295:0.520497:0.000000
f x:@0.641984:0.536249:0.659011:0.536249:0.659011:0.519843:0.641984:0.519843:0.000000:0.000000:0.000000
1:@0.686730:0.528780:0.695713:0.528780:0.695713:0.512347:0.686730:0.512347:0.000000
2:@0.684558:0.545173:0.693541:0.545173:0.693541:0.528739:0.684558:0.528739:0.000000
x:@0.693539:0.539106:0.697886:0.539106:0.697886:0.529542:0.693539:0.529542:0.000000
  .:@0.705601:0.523543:0.717069:0.523543:0.717069:0.506874:0.705601:0.506874:0.000000:0.000000:0.000000
Tenemos :@0.323781:0.572349:0.394089:0.572349:0.394089:0.555915:0.323781:0.555915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom f:@0.393968:0.572349:0.438863:0.572349:0.438863:0.555943:0.393968:0.555943:0.000000:0.000000:0.000000:0.000000:0.000000
( ) =  , :@0.429365:0.572349:0.482728:0.572349:0.482728:0.555915:0.429365:0.555915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.462369:0.572932:0.475659:0.572932:0.475659:0.555277:0.462369:0.555277:0.000000
Rec f:@0.482636:0.572349:0.516376:0.572349:0.516376:0.555943:0.482636:0.555943:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = ]0, ∞[ y el grafo de :@0.506878:0.572349:0.675549:0.572349:0.675549:0.555915:0.506878:0.555915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f::@0.675304:0.572349:0.683956:0.572349:0.683956:0.555943:0.675304:0.555943:0.000000:0.000000
G f:@0.537931:0.602194:0.558253:0.602194:0.558253:0.585788:0.537931:0.585788:0.000000:0.000000:0.000000
( ) =      ,       |        .:@0.548755:0.602194:0.712761:0.602199:0.712761:0.585765:0.548755:0.585760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.597571:0.602194:0.605026:0.602194:0.605026:0.585788:0.597571:0.585788:0.000000
1:@0.615345:0.595615:0.623919:0.595615:0.623919:0.579929:0.615345:0.579929:0.000000
2:@0.613272:0.610573:0.621846:0.610573:0.621846:0.594887:0.613272:0.594887:0.000000
x:@0.621845:0.604790:0.625993:0.604790:0.625993:0.595660:0.621845:0.595660:0.000000
x:@0.654650:0.602199:0.662105:0.602199:0.662105:0.585793:0.654650:0.585793:0.000000
∈ ℝ:@0.665933:0.602781:0.698422:0.602781:0.698422:0.585127:0.665933:0.585127:0.000000:0.000000:0.000000
En la tabla se muestran algunos puntos.:@0.323779:0.636703:0.611709:0.636703:0.611709:0.620269:0.323779:0.620269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293665:0.664065:0.297696:0.664065:0.297696:0.647631:0.293665:0.647631:0.000000
  :@0.293665:0.691427:0.301728:0.691427:0.301728:0.674993:0.293665:0.674993:0.000000:0.000000
 :@0.293665:0.718789:0.297696:0.718789:0.297696:0.702355:0.293665:0.702355:0.000000
En la Figura 1, se muestra la gráfica de esta :@0.323779:0.746151:0.670986:0.746151:0.670986:0.729717:0.323779:0.729717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función. Para   > 1 tan grande como se:@0.323779:0.762792:0.607906:0.762792:0.607906:0.746359:0.323779:0.746359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.420933:0.762792:0.430431:0.762792:0.430431:0.746386:0.420933:0.746386:0.000000
quiera,  ( ) =   es tan:@0.323779:0.794162:0.481550:0.794170:0.481550:0.777736:0.323779:0.777728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f n:@0.376682:0.794162:0.395605:0.794162:0.395605:0.777756:0.376682:0.777756:0.000000:0.000000:0.000000
1:@0.422225:0.786700:0.431207:0.786700:0.431207:0.770266:0.422225:0.770266:0.000000
2:@0.419464:0.803092:0.428446:0.803092:0.428446:0.786658:0.419464:0.786658:0.000000
n:@0.428438:0.797026:0.433975:0.797026:0.433975:0.787461:0.428438:0.787461:0.000000
pequeño como se quiera, mientras que:@0.323781:0.821532:0.609701:0.821532:0.609701:0.805098:0.323781:0.805098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f n:@0.323781:0.852902:0.351815:0.852902:0.351815:0.836495:0.323781:0.836495:0.000000:0.000000:0.000000
(– ) = :@0.328401:0.852902:0.375432:0.852902:0.375432:0.836468:0.328401:0.836468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.381530:0.845429:0.390512:0.845429:0.390512:0.828995:0.381530:0.828995:0.000000
2:@0.375971:0.861821:0.384953:0.861821:0.384953:0.845388:0.375971:0.845388:0.000000
–:@0.385061:0.855755:0.390426:0.855755:0.390426:0.846174:0.385061:0.846174:0.000000
n:@0.390533:0.855755:0.396071:0.855755:0.396071:0.846190:0.390533:0.846190:0.000000
 = 2  es tan:@0.396614:0.852898:0.477130:0.852898:0.477130:0.836464:0.396614:0.836464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.424306:0.846834:0.429844:0.846834:0.429844:0.837269:0.424306:0.837269:0.000000
grande como se quiera.:@0.323779:0.880260:0.494960:0.880260:0.494960:0.863826:0.323779:0.863826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La función   es decreciente, lo que se evidencia :@0.323779:0.907622:0.670959:0.907622:0.670959:0.891188:0.323779:0.891188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.404495:0.907622:0.409189:0.907622:0.409189:0.891216:0.404495:0.891216:0.000000
en la gráfica de esta función.:@0.323761:0.924264:0.529878:0.924264:0.529878:0.907830:0.323761:0.907830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.356330:0.660340:0.364597:0.660340:0.364597:0.644934:0.356330:0.644934:0.000000
–3:@0.415197:0.660971:0.432381:0.660971:0.432381:0.645284:0.415197:0.645284:0.000000:0.000000
–2:@0.470702:0.660971:0.487886:0.660971:0.487886:0.645284:0.470702:0.645284:0.000000:0.000000
–1:@0.526207:0.660971:0.543391:0.660971:0.543391:0.645284:0.526207:0.645284:0.000000:0.000000
0:@0.586018:0.660971:0.594592:0.660971:0.594592:0.645284:0.586018:0.645284:0.000000
1:@0.641523:0.660971:0.650097:0.660971:0.650097:0.645284:0.641523:0.645284:0.000000
2:@0.697028:0.660971:0.705603:0.660971:0.705603:0.645284:0.697028:0.645284:0.000000
3:@0.752534:0.660971:0.761108:0.660971:0.761108:0.645284:0.752534:0.645284:0.000000
 :@0.328619:0.692980:0.331664:0.692980:0.331664:0.677813:0.328619:0.677813:0.000000
 f(x) = :@0.331664:0.692980:0.375708:0.692980:0.375708:0.677574:0.331664:0.677574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.379517:0.685825:0.388499:0.685825:0.388499:0.669391:0.379517:0.669391:0.000000
2:@0.377345:0.702217:0.386327:0.702217:0.386327:0.685784:0.377345:0.685784:0.000000
x:@0.386326:0.696151:0.390672:0.696151:0.390672:0.686586:0.386326:0.686586:0.000000
8:@0.419502:0.691480:0.428077:0.691480:0.428077:0.675793:0.419502:0.675793:0.000000
4:@0.475008:0.691480:0.483582:0.691480:0.483582:0.675793:0.475008:0.675793:0.000000
2:@0.530513:0.691480:0.539087:0.691480:0.539087:0.675793:0.530513:0.675793:0.000000
1:@0.586018:0.691480:0.594593:0.691480:0.594593:0.675793:0.586018:0.675793:0.000000
0,5:@0.635884:0.691480:0.655738:0.691480:0.655738:0.675793:0.635884:0.675793:0.000000:0.000000:0.000000
0,25:@0.687190:0.691480:0.715443:0.691480:0.715443:0.675793:0.687190:0.675793:0.000000:0.000000:0.000000:0.000000
0,125:@0.738496:0.691480:0.775148:0.691480:0.775148:0.675793:0.738496:0.675793:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.153974:0.297402:0.158833:0.297402:0.158833:0.288512:0.153974:0.288512:0.000000
x:@0.250741:0.300739:0.255350:0.300739:0.255350:0.290597:0.250741:0.290597:0.000000
1:@0.183086:0.300030:0.187945:0.300030:0.187945:0.291141:0.183086:0.291141:0.000000
–1:@0.133034:0.300030:0.142871:0.300030:0.142871:0.291141:0.133034:0.291141:0.000000:0.000000
–2:@0.108839:0.300030:0.118676:0.300030:0.118676:0.291141:0.108839:0.291141:0.000000:0.000000
–3:@0.084645:0.300030:0.094482:0.300030:0.094482:0.291141:0.084645:0.291141:0.000000:0.000000
2:@0.207271:0.300030:0.212130:0.300030:0.212130:0.291141:0.207271:0.291141:0.000000
3:@0.231466:0.300030:0.236324:0.300030:0.236324:0.291141:0.231466:0.291141:0.000000
1:@0.151304:0.274450:0.156163:0.274450:0.156163:0.265561:0.151304:0.265561:0.000000
2:@0.151304:0.256222:0.156163:0.256222:0.156163:0.247333:0.151304:0.247333:0.000000
3:@0.151304:0.237993:0.156163:0.237993:0.156163:0.229104:0.151304:0.229104:0.000000
4:@0.151304:0.219765:0.156163:0.219765:0.156163:0.210876:0.151304:0.210876:0.000000
5:@0.151304:0.201536:0.156163:0.201536:0.156163:0.192647:0.151304:0.192647:0.000000
6:@0.151304:0.183308:0.156163:0.183308:0.156163:0.174419:0.151304:0.174419:0.000000
7:@0.151304:0.165079:0.156163:0.165079:0.156163:0.156190:0.151304:0.156190:0.000000
8:@0.151304:0.146851:0.156163:0.146851:0.156163:0.137962:0.151304:0.137962:0.000000
y:@0.150950:0.132746:0.155570:0.132746:0.155570:0.122604:0.150950:0.122604:0.000000
y:@0.184560:0.198801:0.189758:0.198801:0.189758:0.187392:0.184560:0.187392:0.000000
 = 2:@0.189758:0.198801:0.209241:0.198801:0.209241:0.187372:0.189758:0.187372:0.000000:0.000000:0.000000:0.000000
x:@0.209241:0.194585:0.212264:0.194585:0.212264:0.187933:0.209241:0.187933:0.000000
0:@0.792324:0.918819:0.798041:0.918819:0.798041:0.908361:0.792324:0.908361:0.000000
x:@0.916209:0.922745:0.921630:0.922745:0.921630:0.910814:0.916209:0.910814:0.000000
1:@0.826575:0.921911:0.832292:0.921911:0.832292:0.911453:0.826575:0.911453:0.000000
–1:@0.767690:0.921911:0.779264:0.921911:0.779264:0.911453:0.767690:0.911453:0.000000:0.000000
–2:@0.739226:0.921911:0.750799:0.921911:0.750799:0.911453:0.739226:0.911453:0.000000:0.000000
–3:@0.710762:0.921911:0.722335:0.921911:0.722335:0.911453:0.710762:0.911453:0.000000:0.000000
2:@0.855028:0.921911:0.860744:0.921911:0.860744:0.911453:0.855028:0.911453:0.000000
3:@0.883492:0.921911:0.889208:0.921911:0.889208:0.911453:0.883492:0.911453:0.000000
1:@0.789185:0.891817:0.794901:0.891817:0.794901:0.881359:0.789185:0.881359:0.000000
2:@0.789185:0.870372:0.794901:0.870372:0.794901:0.859914:0.789185:0.859914:0.000000
3:@0.789185:0.848927:0.794901:0.848927:0.794901:0.838469:0.789185:0.838469:0.000000
4:@0.789185:0.827481:0.794901:0.827481:0.794901:0.817023:0.789185:0.817023:0.000000
5:@0.789185:0.806036:0.794901:0.806036:0.794901:0.795578:0.789185:0.795578:0.000000
6:@0.789185:0.784591:0.794901:0.784591:0.794901:0.774133:0.789185:0.774133:0.000000
7:@0.789185:0.763145:0.794901:0.763145:0.794901:0.752688:0.789185:0.752688:0.000000
8:@0.789185:0.741700:0.794901:0.741700:0.794901:0.731242:0.789185:0.731242:0.000000
y:@0.788767:0.725107:0.794202:0.725107:0.794202:0.713176:0.788767:0.713176:0.000000
y:@0.742303:0.782075:0.748418:0.782075:0.748418:0.768652:0.742303:0.768652:0.000000
 =:@0.748418:0.782075:0.760692:0.782075:0.760692:0.768630:0.748418:0.768630:0.000000:0.000000
1:@0.766844:0.776379:0.774217:0.776379:0.774217:0.762889:0.766844:0.762889:0.000000
2:@0.765061:0.789243:0.772434:0.789243:0.772434:0.775753:0.765061:0.775753:0.000000
x:@0.772434:0.784270:0.776002:0.784270:0.776002:0.776419:0.772434:0.776419:0.000000
Interdisciplinaria :@0.078581:0.346847:0.201990:0.346847:0.201990:0.331441:0.078581:0.331441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y :@0.078581:0.361976:0.171491:0.361976:0.171491:0.347036:0.078581:0.347036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
salud:@0.078581:0.377105:0.113689:0.377105:0.113689:0.362165:0.078581:0.362165:0.000000:0.000000:0.000000:0.000000:0.000000
Las bacterias en laboratorio :@0.079767:0.404467:0.260619:0.404467:0.260619:0.389826:0.079767:0.389826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son un ejemplo de :@0.079767:0.419294:0.205188:0.419294:0.205188:0.404653:0.079767:0.404653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
crecimiento exponencial, :@0.079767:0.434120:0.246020:0.434120:0.246020:0.419479:0.079767:0.419479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pues duplican su número :@0.079767:0.448946:0.248737:0.448946:0.248737:0.434305:0.079767:0.434305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada hora y alcanzan más :@0.079767:0.463773:0.248654:0.463773:0.248654:0.449132:0.079767:0.449132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de mil millones en un día, :@0.079767:0.478599:0.249170:0.478599:0.249170:0.463958:0.079767:0.463958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representado por una :@0.079767:0.493425:0.224134:0.493425:0.224134:0.478784:0.079767:0.478784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gráfica en forma de J. :@0.079767:0.508252:0.220363:0.508252:0.220363:0.493611:0.079767:0.493611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El crecimiento exponencial :@0.079767:0.526649:0.257878:0.526649:0.257878:0.512008:0.079767:0.512008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ocurre cuando la tasa de :@0.079767:0.541475:0.242286:0.541475:0.242286:0.526834:0.079767:0.526834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
crecimiento per cápita es :@0.079767:0.556301:0.246173:0.556301:0.246173:0.541660:0.079767:0.541660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
positiva y constante y se :@0.079767:0.571128:0.240489:0.571128:0.240489:0.556487:0.079767:0.556487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conoce como su potencial :@0.079767:0.585954:0.255609:0.585954:0.255609:0.571313:0.079767:0.571313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
biótico. :@0.079767:0.600781:0.131188:0.600781:0.131188:0.586140:0.079767:0.586140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sin embargo, debido a la :@0.079767:0.619178:0.244164:0.619178:0.244164:0.604537:0.079767:0.604537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
limitación de recursos, el :@0.079767:0.634004:0.242417:0.634004:0.242417:0.619363:0.079767:0.619363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
crecimiento exponencial :@0.079767:0.648830:0.243418:0.648830:0.243418:0.634189:0.079767:0.634189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no es sostenible, el :@0.079767:0.663657:0.205158:0.663657:0.205158:0.649016:0.079767:0.649016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
crecimiento se desacelera :@0.079767:0.678483:0.250404:0.678483:0.250404:0.663842:0.079767:0.663842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y la población se estabiliza, :@0.079767:0.693309:0.256976:0.693309:0.256976:0.678668:0.079767:0.678668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
produciendo una gráfica :@0.079767:0.708136:0.242778:0.708136:0.242778:0.693495:0.079767:0.693495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en forma de S. Este punto :@0.079767:0.722962:0.249326:0.722962:0.249326:0.708321:0.079767:0.708321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de estabilidad se llama :@0.079767:0.737788:0.230164:0.737788:0.230164:0.723147:0.079767:0.723147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
capacidad de carga y :@0.079767:0.752615:0.220072:0.752615:0.220072:0.737974:0.079767:0.737974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el crecimiento logístico :@0.079767:0.767441:0.233476:0.767441:0.233476:0.752800:0.079767:0.752800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se modela ajustando :@0.079767:0.782268:0.218102:0.782268:0.218102:0.767627:0.079767:0.767627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la tasa de crecimiento :@0.079767:0.797094:0.224575:0.797094:0.224575:0.782453:0.079767:0.782453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
per cápita según el :@0.079767:0.811920:0.206467:0.811920:0.206467:0.797279:0.079767:0.797279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tamaño poblacional y su :@0.079767:0.826747:0.242561:0.826747:0.242561:0.812106:0.079767:0.812106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proximidad a la capacidad :@0.079767:0.841573:0.253109:0.841573:0.253109:0.826932:0.079767:0.826932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de carga. :@0.079767:0.856696:0.141964:0.856696:0.141964:0.842055:0.079767:0.842055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tomado y adaptado de :@0.079767:0.871818:0.205493:0.871818:0.205493:0.859866:0.079767:0.859866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Khan Academy: https://:@0.079767:0.883921:0.204394:0.883921:0.204394:0.871969:0.079767:0.871969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es.khanacademy.org/science/:@0.079767:0.896024:0.236422:0.896024:0.236422:0.884072:0.079767:0.884072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ap-biology/ecology-ap/:@0.079767:0.908127:0.206296:0.908127:0.206296:0.896175:0.079767:0.896175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
population-ecology-ap/a/:@0.079767:0.920230:0.217595:0.920230:0.217595:0.908279:0.079767:0.908279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponential-logistic-growth:@0.079767:0.932334:0.226879:0.932334:0.226879:0.920382:0.079767:0.920382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 1:@0.711085:0.949133:0.758429:0.949133:0.758429:0.935688:0.711085:0.935688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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