Is There a Simple Programmable Form of Multinomial Expansion?

Thread starter EngWiPy
Start date Sep 5, 2009
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Expansion

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A simple programmable form of multinomial expansion is sought, specifically a summation with clear limits. The general term for this expansion is expressed as (n!/[m1!m2!...mk!])a1m1a2m2...akmk. The constraints for the summation include all mj being greater than or equal to zero, with the condition that m1+m2+...+mk equals n. The discussion emphasizes the need for clarity in the notation, suggesting that subscripts should be used for all variables. Overall, the conversation highlights the complexity of representing multinomial expansions in a straightforward programmable format.

Sep 5, 2009

EngWiPy

Hello,

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

Regards

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Sep 7, 2009

mathman

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It is a little messy. The general term is (n!/[m1!m2!...mk!])a1^m1a2^m2...ak^mk. 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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