109:@0.917174:0.510692:0.945535:0.510692:0.945535:0.494068:0.917174:0.494068:0.000000:0.000000:0.000000
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
Capítulo:@0.042655:0.120209:0.099104:0.120209:0.099104:0.098483:0.042655:0.098483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.056460:0.105944:0.085300:0.105944:0.085300:0.031260:0.056460:0.031260:0.000000
Capítulo 3:@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
Capítulo 3: Estadística y probabilidad:@0.952808:0.406561:0.952808:0.185362:0.930290:0.185362:0.930290:0.406561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 88123762.:@0.902071:0.438262:0.902071:0.354732:0.888174:0.354732:0.888174:0.438262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Probabilidad:@0.647617:0.610188:0.741011:0.610188:0.741011:0.594824:0.647617:0.594824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estadística:@0.263427:0.610188:0.340689:0.610188:0.340689:0.594824:0.263427:0.594824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Medidas de :@0.134762:0.663156:0.221908:0.663156:0.221908:0.647792:0.134762:0.647792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tendencia :@0.140458:0.678243:0.216212:0.678243:0.216212:0.662879:0.140458:0.662879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
central:@0.151582:0.693331:0.201604:0.693331:0.201604:0.677967:0.151582:0.677967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Media:@0.169113:0.741952:0.210625:0.741952:0.210625:0.727053:0.169113:0.727053:0.000000:0.000000:0.000000:0.000000:0.000000
Concepto de :@0.531883:0.734566:0.621942:0.734566:0.621942:0.719667:0.531883:0.719667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
probabilidad:@0.532369:0.749653:0.617772:0.749653:0.617772:0.734754:0.532369:0.734754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Rango:@0.289896:0.742266:0.333201:0.742266:0.333201:0.727367:0.289896:0.727367:0.000000:0.000000:0.000000:0.000000:0.000000
Unión, :@0.693297:0.735037:0.740740:0.735037:0.740740:0.720138:0.693297:0.720138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Intersección:@0.674384:0.750125:0.756001:0.750125:0.756001:0.735226:0.674384:0.735226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuartiles:@0.406518:0.742266:0.464431:0.742266:0.464431:0.727367:0.406518:0.727367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Coeficiente :@0.810685:0.735037:0.890223:0.735037:0.890223:0.720138:0.810685:0.720138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
binomial:@0.819111:0.750125:0.878130:0.750125:0.878130:0.735226:0.819111:0.735226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mediana:@0.160820:0.789679:0.218918:0.789679:0.218918:0.774780:0.160820:0.774780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Varianza:@0.283966:0.789994:0.339131:0.789994:0.339131:0.775095:0.283966:0.775095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Diferencia y :@0.676143:0.782764:0.757894:0.782764:0.757894:0.767865:0.676143:0.767865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
complemento:@0.667264:0.797852:0.763103:0.797852:0.763103:0.782953:0.667264:0.782953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Deciles:@0.411493:0.789994:0.459455:0.789994:0.459455:0.775095:0.411493:0.775095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Binomio :@0.820277:0.782764:0.879932:0.782764:0.879932:0.767865:0.820277:0.767865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de Newton:@0.810845:0.797852:0.885693:0.797852:0.885693:0.782953:0.810845:0.782953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Moda:@0.170748:0.837405:0.209547:0.837405:0.209547:0.822506:0.170748:0.822506:0.000000:0.000000:0.000000:0.000000
Axiomas de  :@0.536275:0.782450:0.619885:0.782450:0.619885:0.767551:0.536275:0.767551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
probabilidad:@0.532506:0.797537:0.617910:0.797537:0.617910:0.782638:0.532506:0.782638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desviación :@0.275399:0.830176:0.351923:0.830176:0.351923:0.815277:0.275399:0.815277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estándar:@0.282937:0.845263:0.340733:0.845263:0.340733:0.830364:0.282937:0.830364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Leyes de De :@0.675196:0.830490:0.759543:0.830490:0.759543:0.815591:0.675196:0.815591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Morgan:@0.689251:0.845578:0.741820:0.845578:0.741820:0.830679:0.689251:0.830679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Percentiles:@0.399738:0.837720:0.471773:0.837720:0.471773:0.822821:0.399738:0.822821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Experimentos :@0.510594:0.670700:0.614222:0.670700:0.614222:0.655335:0.510594:0.655335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aleatorios:@0.524783:0.685787:0.596567:0.685787:0.596567:0.670423:0.524783:0.670423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Medidas de :@0.258544:0.670700:0.345690:0.670700:0.345690:0.655335:0.258544:0.655335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dispersión:@0.262514:0.685787:0.338235:0.685787:0.338235:0.670423:0.262514:0.670423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Operaciones :@0.646514:0.670700:0.741065:0.670700:0.741065:0.655335:0.646514:0.655335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con sucesos:@0.649144:0.685787:0.734967:0.685787:0.734967:0.670423:0.649144:0.670423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Medidas de :@0.383309:0.670700:0.470455:0.670700:0.470455:0.655335:0.383309:0.655335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
posición:@0.394466:0.685787:0.455830:0.685787:0.455830:0.670423:0.394466:0.670423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factorial de un :@0.776161:0.670700:0.886459:0.670700:0.886459:0.655335:0.776161:0.655335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número natural:@0.773213:0.685787:0.885938:0.685787:0.885938:0.670423:0.773213:0.670423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estadística y probabilidad:@0.496498:0.560615:0.701762:0.560615:0.701762:0.543715:0.496498:0.543715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Sir Isaac Newton.:@0.484824:0.457041:0.593016:0.457041:0.593016:0.443632:0.484824:0.443632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estadística y probabilidad:@0.120102:0.114393:0.623277:0.114393:0.623277:0.060078:0.120102:0.060078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Isaac Newton (1642 - 1727) fue un matemá-:@0.120102:0.181940:0.454285:0.181940:0.454285:0.165551:0.120102:0.165551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tico inglés, se graduó en la Universidad de :@0.120102:0.198537:0.458358:0.198537:0.458358:0.182148:0.120102:0.182148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cambridge, en la que recibió los reconoci-:@0.120102:0.215133:0.454341:0.215133:0.454341:0.198744:0.120102:0.198744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mientos de los mejores filósofos y científicos :@0.120102:0.231729:0.458360:0.231729:0.458360:0.215340:0.120102:0.215340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la época. Centró sus investigaciones en las :@0.120102:0.248326:0.458360:0.248326:0.458360:0.231937:0.120102:0.231937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas y la física. :@0.120102:0.264922:0.290263:0.264922:0.290263:0.248533:0.120102:0.248533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entre sus logros destacan: el teorema del bi-:@0.120102:0.288641:0.454322:0.288641:0.454322:0.272252:0.120102:0.272252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nomio, que lleva su nombre; el cálculo dife-:@0.120102:0.305237:0.454324:0.305237:0.454324:0.288849:0.120102:0.288849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rencial y el cálculo integral, casi en simultáneo :@0.120102:0.321834:0.458378:0.321834:0.458378:0.305445:0.120102:0.305445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con Gottfried Leibniz; y la mecánica clásica. :@0.120102:0.338430:0.458395:0.338430:0.458395:0.322041:0.120102:0.322041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Con base en los trabajos de Kepler, formuló la :@0.120102:0.355027:0.458375:0.355027:0.458375:0.338638:0.120102:0.338638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ley de gravitación universal.:@0.120102:0.371623:0.321993:0.371623:0.321993:0.355234:0.120102:0.355234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fue docente de la Universidad de Cambridge, :@0.120102:0.395342:0.458360:0.395342:0.458360:0.378953:0.120102:0.378953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representante del Parlamento británico, pre-:@0.120102:0.411938:0.454324:0.411938:0.454324:0.395549:0.120102:0.395549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sidente de la Royal Society, la que le confirió :@0.120102:0.428535:0.458338:0.428535:0.458338:0.412146:0.120102:0.412146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el título de Sir. Isaac Newton, funciones que :@0.120102:0.445131:0.458413:0.445131:0.458413:0.428742:0.120102:0.428742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejerció hasta su muerte.:@0.120102:0.461727:0.294240:0.461727:0.294240:0.445339:0.120102:0.445339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000