Talk:Residue theorem

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Can somebody put the proof of the residue theorem in this page?

--130.207.180.90 01:43, 7 September 2005 (UTC)Arun

Contents

[edit] The joke was pointless

So I removed it.

[edit] The joke is in a mathematics journal

So I put it back.


== I think the joke is actually to be removed

I vote for keeping the joke. :)

[edit] integral of the arc

Hello, I'm trying to understand this theorem and everything I can follow except for why the integral of the arc is zero when a approaches infinity. Is there an explanation to this, or I'm missing something terribly simple?

Actually, I just found out the answer, and ironically, after hours and hours looking at the equations and the diagram, I found the answer by reading the joke. (The fact that the poles, if outside the curve makes the integral of the curve to be zero). So I hope that the joke stays as it greatly improved the understanding of at least 1 human being (me).
The joke that won't die... :) It wasn't clear to me either why the integral of the arc is zero, but having read this I have a clue. --Wtt 11:26, 2 May 2007 (UTC)

[edit] Extremely Pointless joke

Please remove it, this doesn't suit the style. Please tell me what's the name of the Mathematical Journal. http://mathworld.wolfram.com/Pole.html scroll down.

  • The jokes do not make the article any better, or easier to understand; even the source agrees that both jokes are "bad." I'm removing the "Humor" section, again. -ElTchanggo 05:41, 26 November 2006 (UTC)
    • And in addition, the second joke had been changed from the innocuous version at Mathworld, to a racist one. I agree to delete the humor section entirely. Spebudmak 05:53, 26 November 2006 (UTC)

[edit] Actual proof more powerful

The curve does need to be homotopic to a point in the set, but I do not believe a simply connected set is required. I'm still shaky on the idea of simply connected sets, but I'm pretty sure just one homotopic curve to a point is sufficient.49giantsharks (talk) 05:10, 2 May 2008 (UTC)