Is There a Simple Programmable Form of Multinomial Expansion?

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The discussion focuses on the programmable form of multinomial expansion, specifically the general term represented as (n!/[m1!m2!...mk!])a1m1a2m2...akmk. The summation limits are defined by the conditions mj >= 0 and the constraint that m1 + m2 + ... + mk = n. This formulation allows for a clear representation of multinomial coefficients and their corresponding variables, facilitating easier programming implementations.

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EngWiPy
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Hello,

Is there a simple programmable form of multinomial expansion, like a summation with explicit and clear lower and upper limits?

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It is a little messy. The general term is (n!/[m1!m2!...mk!])a1m1a2m2...akmk. The sum limits are all mj >=0 and m1+m2+...+mk=n.

To simplify typing all aj and mj should be thought of as being subscripted. k is the total number of variables.
 

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