5:@0.926628:0.510692:0.936081:0.510692:0.936081:0.494068:0.926628:0.494068:0.000000
En resumen:@0.184972:0.523553:0.325734:0.523553:0.325734:0.489606:0.184972:0.489606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Álgebra y funciones:@0.527388:0.559830:0.670872:0.559830:0.670872:0.544465:0.527388:0.544465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Capítulo 1:@0.179903:0.559830:0.253815:0.559830:0.253815:0.544465:0.179903:0.544465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Álgebra y funciones:@0.120102:0.114393:0.504603:0.114393:0.504603:0.060078:0.120102:0.060078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Capítulo 1: Álgebra y funciones:@0.951133:0.367674:0.951133:0.198945:0.930662:0.198945:0.930662:0.367674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Capítulo:@0.043190:0.126496:0.099639:0.126496:0.099639:0.104770:0.043190:0.104770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.063813:0.105944:0.079015:0.105944:0.079015:0.031260:0.063813:0.031260:0.000000
Shutterstock, 532721611.:@0.902799:0.438597:0.902799:0.350772:0.888903:0.350772:0.888903:0.438597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Aplicación de funciones logarítmicas en la vida diaria.:@0.484824:0.457041:0.811179:0.457041:0.811179:0.443632:0.484824:0.443632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El uso de las funciones y, en particular, de las :@0.120102:0.181940:0.458340:0.181940:0.458340:0.165551:0.120102:0.165551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones  logarítmicas  sirve en  varias  ramas :@0.120102:0.198537:0.458376:0.198537:0.458376:0.182148:0.120102:0.182148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.454324:0.198537:0.458360:0.198537:0.458360:0.182148:0.454324:0.182148:0.000000
y con distintas utilidades, como::@0.120102:0.215133:0.353798:0.215133:0.353798:0.198744:0.120102:0.198744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.120102:0.238852:0.130053:0.238852:0.130053:0.221716:0.120102:0.221716:0.000000:0.000000
En la estadística: suele aplicarse en el creci-:@0.143837:0.238852:0.454379:0.238852:0.454379:0.222463:0.143837:0.222463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
miento de la población.:@0.143837:0.255448:0.317700:0.255448:0.317700:0.239059:0.143837:0.239059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.120102:0.279167:0.130053:0.279167:0.130053:0.262032:0.120102:0.262032:0.000000:0.000000
En la publicidad: cuando se realizan las es-:@0.143837:0.279167:0.454324:0.279167:0.454324:0.262778:0.143837:0.262778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tadísticas sobre la campaña publicitaria que :@0.143837:0.295764:0.458358:0.295764:0.458358:0.279375:0.143837:0.279375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se va a lanzar, se realizan cálculos matemá-:@0.143837:0.312360:0.454370:0.312360:0.454370:0.295971:0.143837:0.295971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ticos con logaritmos. Estas estadísticas defi-:@0.143837:0.328956:0.454361:0.328956:0.454361:0.312568:0.143837:0.312568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nen el fracaso o éxito de la campaña.:@0.143837:0.345553:0.407664:0.345553:0.407664:0.329164:0.143837:0.329164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.120102:0.369272:0.130053:0.369272:0.130053:0.352136:0.120102:0.352136:0.000000:0.000000
En la biología: es aplicado en los estudios :@0.143837:0.369272:0.458360:0.369272:0.458360:0.352883:0.143837:0.352883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los efectos nutricionales de los organis-:@0.143837:0.385868:0.454304:0.385868:0.454304:0.369479:0.143837:0.369479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mos. Así como también en el cálculo del :@0.143837:0.402465:0.458341:0.402465:0.458341:0.386076:0.143837:0.386076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pH y en la genética, donde se utiliza la es-:@0.143837:0.419061:0.454324:0.419061:0.454324:0.402672:0.143837:0.402672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tadística y la probabilidad para saber sobre :@0.143837:0.435657:0.458395:0.435657:0.458395:0.419268:0.143837:0.419268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lo que un hijo heredara de sus padres. :@0.143837:0.452254:0.425959:0.452254:0.425959:0.435865:0.143837:0.435865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto de :@0.144118:0.661582:0.231482:0.661582:0.231482:0.646683:0.144118:0.646683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matrices:@0.157504:0.676669:0.214411:0.676669:0.214411:0.661770:0.157504:0.661770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Operaciones :@0.143767:0.710313:0.231834:0.710313:0.231834:0.695414:0.143767:0.695414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con matrices:@0.142996:0.725401:0.228936:0.725401:0.228936:0.710502:0.142996:0.710502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinantes :@0.136186:0.760512:0.239413:0.760512:0.239413:0.745613:0.136186:0.745613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de órdenes 2 y 3:@0.131026:0.775600:0.240922:0.775600:0.240922:0.760701:0.131026:0.760701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolución de :@0.138942:0.809977:0.236659:0.809977:0.236659:0.795078:0.138942:0.795078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistemas de :@0.147117:0.825065:0.228467:0.825065:0.228467:0.810166:0.147117:0.810166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones:@0.148290:0.840152:0.223625:0.840152:0.223625:0.825253:0.148290:0.825253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matrices reales:@0.127594:0.617043:0.235427:0.617043:0.235427:0.601679:0.127594:0.601679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Operaciones :@0.305317:0.733248:0.393384:0.733248:0.393384:0.718349:0.305317:0.718349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con funciones :@0.300241:0.748335:0.398443:0.748335:0.398443:0.733436:0.300241:0.733436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales:@0.328301:0.763423:0.366714:0.763423:0.366714:0.748524:0.328301:0.748524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Producto de :@0.306372:0.797800:0.392329:0.797800:0.392329:0.782901:0.306372:0.782901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales :@0.296656:0.812888:0.402045:0.812888:0.402045:0.797989:0.296656:0.797989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por funciones:@0.301380:0.827975:0.393652:0.827975:0.393652:0.813076:0.301380:0.813076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Operaciones  :@0.297306:0.681165:0.395324:0.681165:0.395324:0.665801:0.297306:0.665801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con funciones:@0.292447:0.696253:0.393247:0.696253:0.393247:0.680889:0.292447:0.680889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Límite de una :@0.463324:0.679401:0.558477:0.679401:0.558477:0.664502:0.463324:0.664502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesión:@0.479875:0.694489:0.538257:0.694489:0.538257:0.679590:0.479875:0.679590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades :@0.467662:0.728866:0.554138:0.728866:0.554138:0.713967:0.467662:0.713967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
básicas:@0.485102:0.743954:0.533030:0.743954:0.533030:0.729055:0.485102:0.729055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Método  :@0.482999:0.778332:0.543643:0.778332:0.543643:0.763433:0.482999:0.763433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Newton-Raphson:@0.455207:0.793420:0.564098:0.793420:0.564098:0.778521:0.455207:0.778521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sucesiones :@0.464521:0.610866:0.548166:0.610866:0.548166:0.595502:0.464521:0.595502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales :@0.483150:0.625954:0.529521:0.625954:0.529521:0.610589:0.483150:0.610589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
convergentes:@0.455576:0.641041:0.553627:0.641041:0.553627:0.625677:0.455576:0.625677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función :@0.644291:0.749810:0.701786:0.749810:0.701786:0.734911:0.644291:0.734911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponencial:@0.630370:0.764898:0.712055:0.764898:0.712055:0.749999:0.630370:0.749999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función :@0.644291:0.799275:0.701786:0.799275:0.701786:0.784376:0.644291:0.784376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
logarítmica:@0.633603:0.814363:0.708822:0.814363:0.708822:0.799464:0.633603:0.799464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuaciones  :@0.634317:0.848741:0.716605:0.848741:0.716605:0.833842:0.634317:0.833842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e inecuaciones:@0.621987:0.863829:0.721597:0.863829:0.721597:0.848930:0.621987:0.848930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función :@0.637689:0.682532:0.699120:0.682532:0.699120:0.667168:0.637689:0.667168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponencial  :@0.622445:0.697620:0.717849:0.697620:0.717849:0.682256:0.622445:0.682256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y logarítmica:@0.619496:0.712707:0.713862:0.712707:0.713862:0.697343:0.619496:0.697343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Integral :@0.807820:0.666828:0.862533:0.666828:0.862533:0.651929:0.807820:0.651929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indefinida:@0.799829:0.681916:0.866855:0.681916:0.866855:0.667017:0.799829:0.667017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Integral definida:@0.778713:0.723837:0.887972:0.723837:0.887972:0.708938:0.778713:0.708938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cálculo  :@0.809195:0.765759:0.866003:0.765759:0.866003:0.750860:0.809195:0.750860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de áreas:@0.806314:0.780847:0.861563:0.780847:0.861563:0.765948:0.806314:0.765948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Integración:@0.787903:0.617043:0.871045:0.617043:0.871045:0.601679:0.787903:0.601679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000