96:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000 Polinomios algebraicos:@0.073089:0.043661:0.280500:0.043661:0.280500:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4.5 Triángulo de Pascal :@0.293660:0.136836:0.476104:0.136836:0.476104:0.119889:0.293660:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Blaise Pascal, con su análisis del triángulo que lleva su apellido, contribuyó a la :@0.293660:0.164198:0.931118:0.164198:0.931118:0.147764:0.293660:0.147764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 conformación de teorías matemáticas, como también lo hicieron los trabajos del :@0.293660:0.180840:0.930404:0.180840:0.930404:0.164406:0.293660:0.164406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ecuatoriano de origen alemán, Peter Thullen.:@0.293660:0.197482:0.618075:0.197482:0.618075:0.181048:0.293660:0.181048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Qué estructura tiene el triángulo denominado triángulo de Pascal que se observa en la :@0.293660:0.228422:0.931503:0.228422:0.931503:0.211988:0.293660:0.211988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 imagen?:@0.293660:0.245064:0.356318:0.245064:0.356318:0.228630:0.293660:0.228630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Se trata de un triángulo simétrico de números enteros. Está conformado por filas que :@0.293660:0.276004:0.930623:0.276004:0.930623:0.259570:0.293660:0.259570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tienen 1 al inicio y al final de cada fila. Empieza con un 1 en la primera fila, y en las filas :@0.293660:0.292645:0.931267:0.292645:0.931267:0.276212:0.293660:0.276212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 siguientes muestra números de forma que cada uno de ellos son la suma de los dos :@0.293660:0.309287:0.930967:0.309287:0.930967:0.292853:0.293660:0.292853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 números que tiene encima. :@0.293660:0.325929:0.496961:0.325929:0.496961:0.309495:0.293660:0.309495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.599952:0.363456:0.614211:0.363456:0.614211:0.337369:0.599952:0.337369:0.000000 1:@0.566626:0.389529:0.580885:0.389529:0.580885:0.363442:0.566626:0.363442:0.000000 1:@0.629009:0.389529:0.643268:0.389529:0.643268:0.363442:0.629009:0.363442:0.000000 11:@0.659777:0.421846:0.674240:0.421846:0.674240:0.395759:0.659777:0.395759:0.000000:0.000000 1:@0.537583:0.421846:0.551841:0.421846:0.551841:0.395759:0.537583:0.395759:0.000000 2:@0.597599:0.421846:0.611858:0.421846:0.611858:0.395759:0.597599:0.395759:0.000000 1:@0.506815:0.453722:0.521074:0.453722:0.521074:0.427635:0.506815:0.427635:0.000000 3:@0.567065:0.453722:0.581323:0.453722:0.581323:0.427635:0.567065:0.427635:0.000000 3:@0.629535:0.453722:0.643794:0.453722:0.643794:0.427635:0.629535:0.427635:0.000000 1:@0.693613:0.453722:0.707872:0.453722:0.707872:0.427635:0.693613:0.427635:0.000000 1:@0.477537:0.482692:0.491796:0.482692:0.491796:0.456606:0.477537:0.456606:0.000000 4:@0.537787:0.482692:0.552046:0.482692:0.552046:0.456606:0.537787:0.456606:0.000000 6:@0.603326:0.482692:0.617585:0.482692:0.617585:0.456606:0.603326:0.456606:0.000000 4:@0.663342:0.482692:0.677601:0.482692:0.677601:0.456606:0.663342:0.456606:0.000000 1:@0.726484:0.482692:0.740743:0.482692:0.740743:0.456606:0.726484:0.456606:0.000000 1:@0.445893:0.514943:0.460152:0.514943:0.460152:0.488856:0.445893:0.488856:0.000000 5:@0.507750:0.514943:0.522009:0.514943:0.522009:0.488856:0.507750:0.488856:0.000000 10:@0.559994:0.514943:0.588512:0.514943:0.588512:0.488856:0.559994:0.488856:0.000000:0.000000 10:@0.625678:0.514943:0.654196:0.514943:0.654196:0.488856:0.625678:0.488856:0.000000:0.000000 5:@0.700333:0.514943:0.714592:0.514943:0.714592:0.488856:0.700333:0.488856:0.000000 1:@0.759940:0.514943:0.774199:0.514943:0.774199:0.488856:0.759940:0.488856:0.000000 1:@0.413244:0.546262:0.427503:0.546262:0.427503:0.520176:0.413244:0.520176:0.000000 6:@0.477000:0.546262:0.491259:0.546262:0.491259:0.520176:0.477000:0.520176:0.000000 15:@0.527958:0.546262:0.556476:0.546262:0.556476:0.520176:0.527958:0.520176:0.000000:0.000000 20:@0.593000:0.546262:0.621518:0.546262:0.621518:0.520176:0.593000:0.520176:0.000000:0.000000 15:@0.657399:0.546262:0.685917:0.546262:0.685917:0.520176:0.657399:0.520176:0.000000:0.000000 6:@0.729892:0.546262:0.744151:0.546262:0.744151:0.520176:0.729892:0.520176:0.000000 1:@0.793035:0.546262:0.807293:0.546262:0.807293:0.520176:0.793035:0.520176:0.000000 Ejemplo 5:@0.293660:0.580666:0.369443:0.580666:0.369443:0.563997:0.293660:0.563997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Obtén la fila 9 y 10 del triángulo de Pascal.:@0.293660:0.611606:0.597757:0.611606:0.597757:0.595173:0.293660:0.595173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Solución:@0.293660:0.642546:0.359794:0.642546:0.359794:0.625877:0.293660:0.625877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para obtener la fila 9, sumamos los números de la fila 8.:@0.293660:0.673486:0.690959:0.673486:0.690959:0.657052:0.293660:0.657052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 8 28 56 70 56 28 8 1:@0.370109:0.701987:0.851981:0.701987:0.851981:0.684321:0.370109:0.684321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 9 36 84 126 126 84 36 9 1:@0.347115:0.751810:0.871947:0.751810:0.871947:0.734144:0.347115:0.734144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para formar la fila 10, sumamos los obtenidos de la fila 9.:@0.293660:0.788312:0.699179:0.788312:0.699179:0.771879:0.293660:0.771879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 9 36 84 126 126 84 36 9 1:@0.328376:0.816822:0.892210:0.816822:0.892210:0.799156:0.328376:0.799156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 10 45 120 210 252 210 120 45 10 1:@0.316246:0.866645:0.904340:0.866645:0.904340:0.848979:0.316246:0.848979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En el triángulo de Pascal :@0.078581:0.470945:0.237993:0.470945:0.237993:0.456005:0.078581:0.456005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 se observan algunas :@0.078581:0.486074:0.213715:0.486074:0.213715:0.471134:0.078581:0.471134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 particularidades. Por :@0.078581:0.501203:0.212810:0.501203:0.212810:0.486263:0.078581:0.486263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ejemplo, al sumar los :@0.078581:0.516332:0.217566:0.516332:0.217566:0.501392:0.078581:0.501392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 números de la fila, se :@0.078581:0.531461:0.216210:0.531461:0.216210:0.516521:0.078581:0.516521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 obtienen las potencias de 2.:@0.078581:0.546590:0.258664:0.546590:0.258664:0.531650:0.078581:0.531650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.146728:0.564488:0.151498:0.564488:0.151498:0.555718:0.146728:0.555718:0.000000 1:@0.230062:0.564488:0.234831:0.564488:0.234831:0.555718:0.230062:0.555718:0.000000 2:@0.229241:0.575671:0.234010:0.575671:0.234010:0.566901:0.229241:0.566901:0.000000 4:@0.229241:0.586884:0.234010:0.586884:0.234010:0.578114:0.229241:0.578114:0.000000 8:@0.229241:0.597971:0.234010:0.597971:0.234010:0.589201:0.229241:0.589201:0.000000 16:@0.226857:0.609014:0.236395:0.609014:0.236395:0.600243:0.226857:0.600243:0.000000:0.000000 32:@0.226857:0.619990:0.236395:0.619990:0.236395:0.611219:0.226857:0.611219:0.000000:0.000000 64:@0.226857:0.630995:0.236395:0.630995:0.236395:0.622225:0.226857:0.622225:0.000000:0.000000 128:@0.228020:0.641897:0.242327:0.641897:0.242327:0.633127:0.228020:0.633127:0.000000:0.000000:0.000000 1:@0.153951:0.575671:0.158720:0.575671:0.158720:0.566901:0.153951:0.566901:0.000000 1:@0.161173:0.586884:0.165942:0.586884:0.165942:0.578114:0.161173:0.578114:0.000000 1:@0.168395:0.597971:0.173164:0.597971:0.173164:0.589201:0.168395:0.589201:0.000000 1:@0.175617:0.609014:0.180386:0.609014:0.180386:0.600243:0.175617:0.600243:0.000000 1:@0.182839:0.619990:0.187609:0.619990:0.187609:0.611219:0.182839:0.611219:0.000000 1:@0.190061:0.630995:0.194831:0.630995:0.194831:0.622225:0.190061:0.622225:0.000000 1:@0.197284:0.641897:0.202053:0.641897:0.202053:0.633127:0.197284:0.633127:0.000000 1 7 21 35 35 21 7:@0.096154:0.641897:0.187589:0.641897:0.187589:0.633127:0.096154:0.633127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 6 15:@0.103376:0.630995:0.139409:0.630995:0.139409:0.622225:0.103376:0.622225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 5 10:@0.110823:0.619990:0.146640:0.619990:0.146640:0.611219:0.110823:0.611219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 4:@0.117820:0.609014:0.137034:0.609014:0.137034:0.600243:0.117820:0.600243:0.000000:0.000000:0.000000 1 3 3:@0.125042:0.597971:0.158700:0.597971:0.158700:0.589201:0.125042:0.589201:0.000000:0.000000:0.000000:0.000000:0.000000 1 2:@0.132264:0.586884:0.151478:0.586884:0.151478:0.578114:0.132264:0.578114:0.000000:0.000000:0.000000 1:@0.139487:0.575671:0.144256:0.575671:0.144256:0.566901:0.139487:0.566901:0.000000 4:@0.161153:0.609014:0.165922:0.609014:0.165922:0.600243:0.161153:0.600243:0.000000 6:@0.146709:0.609014:0.151478:0.609014:0.151478:0.600243:0.146709:0.600243:0.000000 6:@0.175598:0.630995:0.180367:0.630995:0.180367:0.622225:0.175598:0.622225:0.000000 5:@0.168375:0.619990:0.173145:0.619990:0.173145:0.611219:0.168375:0.611219:0.000000 10:@0.151546:0.619990:0.161085:0.619990:0.161085:0.611219:0.151546:0.611219:0.000000:0.000000 20 15:@0.144324:0.630995:0.168307:0.630995:0.168307:0.622225:0.144324:0.622225:0.000000:0.000000:0.000000:0.000000:0.000000 Competencia :@0.078581:0.431504:0.187141:0.431504:0.187141:0.414557:0.078581:0.414557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.078581:0.448146:0.176057:0.448146:0.176057:0.431199:0.078581:0.431199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 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