Lesson plan

Regular part

In mathematics, the regular part of a Laurent series consists of the series of terms with positive powers. That is, if : f(z) = \sum_{n=-\infty}^{\infty} a_n (z - c)^n, then the regular part of this Laurent series is : \sum_{n=0}^{\infty} a_n (z - c)^n. In contrast, the series of terms with negative powers is the principal part.

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Article summary

In mathematics, the regular part of a Laurent series consists of the series of terms with positive powers. That is, if : f(z) = \sum_{n=-\infty}^{\infty} a_n (z - c)^n, then the regular part of this Laurent series is : \sum_{n=0}^{\infty} a_n (z - c)^n. In contrast, the series of terms with negative powers is the principal part.

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  1. Summarise the article in your own words. Which single claim would you verify first, and why?
  2. Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
  3. If two sources disagreed about one of these facts, what would you need in order to trust one over the other?

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