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Questions using the Sum command, especially for series and other algebraic objects, and related functions such as SumConvergence

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Generic sums in Mathematica [duplicate]

I would like to treat sums in very generic manners, but it looks like mathematica is very bad at that. For example, it cannot simplify to zero such expressions : Sum[y[i], {i, 1, dim}] - Sum[y[j], {j, …
Adrien Martina's user avatar
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Optimal way of defining sums-linear function [duplicate]

I asked on a previous post how to define a function which satisfies $f[x+y]=f[x]+f[y]$ and then define $f[x]$ on monomials. The problem with this is that it involves a lot of iterations when we consi …
Adrien Martina's user avatar