Talk:Polynomial expansion

Pascals Triangle
The coeffecients of all the terms are highly dependent on the appropriate line of pascal's triangle. This should be included in the article. 202.168.18.88 02:23, 21 October 2007 (UTC)

Using the terms degree, power
I'm not a native English speaker and unsure about this. But I think the terms degree and power are used as follows… …while the article mixes both formulations:
 * x has degree y; x is of degree y
 * x is raised to the power of y
 * variables raised to different degrees

Could someone please rephrase the article in case I'm right here? Thank you. — Ocolon 18:07, 21 March 2007 (UTC)

Question that had been posted on the article page, moving here, not sure if a solution to the question below belongs in this article
How to solve the problem: turn production-sum into sum-production $$ \prod_{n}\left( \sum_{m}A_{mn}\right) =\sum_{m}\left(\prod_{n}B_{mn}\right) $$, What is $$B_{mn}$$ in terms of $$A_{mn}$$? —Preceding unsigned comment added by 206.169.234.26 (talk) 21:50, 30 June 2010 (UTC)


 * A good question, even if not directly related to this article. To write the expansion in a clear form we have to use more structured set than just $$\{1,2,\dots,m\}$$ as index sets. Let $$I$$ and $$J$$ be finite sets, and let $$J^{\, I}$$ be the set of all functions $$\mu:I\to J$$. Then


 * $$\prod_{n\in I} \sum_{m\in J} a_{n,m} = \sum_{\mu\in J^I}\prod_{n\in I} a_{n,\mu(n)}. $$
 * --pm a 07:10, 1 May 2011 (UTC)