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UBA - CienciaS :: Ver Tema - [Resuelto] Practica 6 Ejercicio 8) ii)
UBA - CienciaS
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[Resuelto] Practica 6 Ejercicio 8) ii)
http://ubacs.com.ar/ubacs/viewtopic.php?f=14&t=852
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Autor:  akd mia [ 13 Feb 2009, 15:26 ]
Asunto:  [Resuelto] Practica 6 Ejercicio 8) ii)

Dice asi: Calcular para cada

Lo q hice fue, llamé a . Entonces . Luego me puse a buscar todos los aplicando argumento y modulo a cada lado de la igualdad. Mi pregunta es: cuando trabajo con argumento los argumentos se respiten en modulo 12; es decir q para n=1 y n=13 tienen elmismo argumento. El tema es q eso lo vi haciendolo manualmente y no se como inferir q los argumentos se van a repetir en modulo 12. A alguien se le ocurre porq??

graciass

Autor:  exequiel131719 [ 13 Feb 2009, 16:54 ]
Asunto:  Re: [No Resuelto] Practica 6 Ejercicio 8) ii)

Observá que ejerce cierta siniestra presión, por medio de y . La idea es escribirlo en forma trigonométrica al número complejo:
.
Recordando que satisface:


te queda:

Calcular ahora la potencia de , para todo , debería serte fácil.
Según lo que dije, se repiten módulo 6 los argumentos, por ser (en realidad, módulo 3, dado que , primitiva). Si se te repitieron módulo 12, pusiste en vez de (o yo ya perdía la noción de lo que hago)

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