Maxima Discret Sum: Develop & Simplify Expression

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The discussion focuses on simplifying the expression involving cosine and sine terms in the context of a sum over charges. The expression S is defined using a combination of terms involving q_j, k, and r_j, with an emphasis on developing it in terms of cosine and sine. Éric seeks assistance in substituting the expression Q, which represents a sum involving an exponential term, into a variable for simplification. The conversation is technical, centered on mathematical manipulation and expression development. Éric concludes by indicating he has resolved the issue.
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Dear all,

In order to develop in cos in sin terms and then simplify the expression

<br /> S=\left(q_{j}\cos\mathbf{k}\centerdot\mathbf{r}_{j}\right)\left(\sum_{j}^{N}q_{j}exp\mathbf{-k}\centerdot\mathbf{r}_{j}\right)-\left(q_{j}\cos\mathbf{-k}\centerdot\mathbf{r}_{j}\right)\left(\sum_{j}^{N}q_{j}exp\mathbf{k}\centerdot\mathbf{r}_{j}\right)<br />

I'd like to put the expression

<br /> Q=\sum_{j}^{N}q_{j}exp\mathbf{-k}\centerdot\mathbf{r}_{j}<br />

in a variable.

Does anyone know how to proceed ?
Thanks,

Éric.
 
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I got it.
 

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