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Simplification de formule/ Simplification of formula

  • To: mathgroup at smc.vnet.net
  • Subject: [mg124404] Simplification de formule/ Simplification of formula
  • From: Nicolas Simon <nicodumonastal at gmail.com>
  • Date: Wed, 18 Jan 2012 06:04:01 -0500 (EST)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com

Hi !

I want to simplify this formula :

-((DK Pv2 Cos[a2 - alpha3] Cos[aV2] Sin[a2 - aV2])/(
  DK Cos[a2 - alpha3] - KF Sin[a2 - alpha3])) + (
 KF Pv2 Cos[aV2] Sin[a2 - alpha3] Sin[a2 - aV2])/(
 DK Cos[a2 - alpha3] - KF Sin[a2 - alpha3]) - (
 DG3 P3 Sin[alpha3] Sin[a2 - aV2])/(
 DK Cos[a2 - alpha3] - KF Sin[a2 - alpha3]) - (
 DK FV2 Pv2 Cos[a2 - alpha3] Cos[a2 - aV2] Sin[aV2])/(
 L2 (DK Cos[a2 - alpha3] - KF Sin[a2 - alpha3])) + (
 FV2 KF Pv2 Cos[a2 - aV2] Sin[a2 - alpha3] Sin[aV2])/(
 L2 (DK Cos[a2 - alpha3] - KF Sin[a2 - alpha3])) - (
 KF Pv2 Cos[a2 - alpha3] Sin[a2 - aV2] Sin[aV2])/(
 DK Cos[a2 - alpha3] - KF Sin[a2 - alpha3]) + (
 FV2 KF Pv2 Cos[a2 - alpha3] Sin[a2 - aV2] Sin[aV2])/(
 L2 (DK Cos[a2 - alpha3] - KF Sin[a2 - alpha3])) - (
 DK Pv2 Sin[a2 - alpha3] Sin[a2 - aV2] Sin[aV2])/(
 DK Cos[a2 - alpha3] - KF Sin[a2 - alpha3]) + (
 DK FV2 Pv2 Sin[a2 - alpha3] Sin[a2 - aV2] Sin[aV2])/(
 L2 (DK Cos[a2 - alpha3] - KF Sin[a2 - alpha3])).

By manually regrouping the terms, the denominator disappears for a
large number of fraction but I'm not able to reproduce this result
with Simplify or others Mathematica tools to handle formula. Any
suggestion of how I could do that with Mathematica ?
Thank you for your help !









Bonjour,

Je souhaite simplifier cette formule :

-((DK Pv2 Cos[a2 - alpha3] Cos[aV2] Sin[a2 - aV2])/(
  DK Cos[a2 - alpha3] - KF Sin[a2 - alpha3])) + (
 KF Pv2 Cos[aV2] Sin[a2 - alpha3] Sin[a2 - aV2])/(
 DK Cos[a2 - alpha3] - KF Sin[a2 - alpha3]) - (
 DG3 P3 Sin[alpha3] Sin[a2 - aV2])/(
 DK Cos[a2 - alpha3] - KF Sin[a2 - alpha3]) - (
 DK FV2 Pv2 Cos[a2 - alpha3] Cos[a2 - aV2] Sin[aV2])/(
 L2 (DK Cos[a2 - alpha3] - KF Sin[a2 - alpha3])) + (
 FV2 KF Pv2 Cos[a2 - aV2] Sin[a2 - alpha3] Sin[aV2])/(
 L2 (DK Cos[a2 - alpha3] - KF Sin[a2 - alpha3])) - (
 KF Pv2 Cos[a2 - alpha3] Sin[a2 - aV2] Sin[aV2])/(
 DK Cos[a2 - alpha3] - KF Sin[a2 - alpha3]) + (
 FV2 KF Pv2 Cos[a2 - alpha3] Sin[a2 - aV2] Sin[aV2])/(
 L2 (DK Cos[a2 - alpha3] - KF Sin[a2 - alpha3])) - (
 DK Pv2 Sin[a2 - alpha3] Sin[a2 - aV2] Sin[aV2])/(
 DK Cos[a2 - alpha3] - KF Sin[a2 - alpha3]) + (
 DK FV2 Pv2 Sin[a2 - alpha3] Sin[a2 - aV2] Sin[aV2])/(
 L2 (DK Cos[a2 - alpha3] - KF Sin[a2 - alpha3])).

En regroupant les bons termes le d=E9nominateur se simplifie pour un
grand nombres de fractions mais je n'arrive pas a ce r=E9sultat avec les
outils de simplification (FullSimplify ou Simplify) ou les outils de
manipulations de formule. Est ce que vous auriez une id=E9e de comment
faire comme pr=E9ciser certains "assumption" dans Simplify ?
Merci de votre aide.



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