Talk:Multiplicity (mathematics): Difference between revisions
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Hey guys, I appreciate the precise mathematical definition of the multiplicity of the zeros of a function, but how about a simple one line explanation that the multiplicity of a root is the number of times that root is repeated? Followed by a simple example, like the root of f(x) = (x-1)^3 is 1, with a multiplicity of 3, because it occurs 3 times. |
Hey guys, I appreciate the precise mathematical definition of the multiplicity of the zeros of a function, but how about a simple one line explanation that the multiplicity of a root is the number of times that root is repeated? Followed by a simple example, like the root of f(x) = (x-1)^3 is 1, with a multiplicity of 3, because it occurs 3 times. |
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<small>—Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[User:Nedunuri|Nedunuri]] ([[User talk:Nedunuri|talk]] • [[Special:Contributions/Nedunuri|contribs]]) 18:59, 20 Oct 2006 (UTC)</small><!-- Template:Unsigned --> |
<small>—Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[User:Nedunuri|Nedunuri]] ([[User talk:Nedunuri|talk]] • [[Special:Contributions/Nedunuri|contribs]]) 18:59, 20 Oct 2006 (UTC)</small><!-- Template:Unsigned --> |
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I second that. [[User:Myers6609|Myers6609]] ([[User talk:Myers6609|talk]]) 01:15, 7 January 2009 (UTC) |
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== Root / zeros == |
== Root / zeros == |
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Revision as of 01:15, 7 January 2009
Categories
[This article] is not just about multisets. It also and mostly talks about the multiplicity of roots of a function. So it should not just be in the Category:Set theory. It should be in another category as well. I guessed that it should be in Category:Numerical analysis. If I was wrong, then what other category would you put it in? JRSpriggs 06:04, 1 May 2006 (UTC)
- Fair point, I was a bit rash in removing Category:Numerical analysis. My point was that multiplicity of roots is used more widely than numerical analysis. Hence, I should have put it in a more general category. I have now added Category:Mathematical analysis. Does that make sense? -- Jitse Niesen (talk) 12:51, 1 May 2006 (UTC)
- Category:Mathematical analysis is the good one I think. Oleg Alexandrov (talk) 15:13, 1 May 2006 (UTC)
- OK. That looks like a better category. But this raises the question of whether "Numerical analysis" should be a subcategory of "Mathematical analysis". It seems like it should be, but it is not now. JRSpriggs 07:12, 2 May 2006 (UTC)
- At the moment, Category:Numerical analysis is a subcategory of Category:Analysis, which also contains Category:Mathematical analysis and Category:Musical analysis. I don't see the rationale for that, so I changed it to make num. analysis a subcategory of math. analysis as JRSpriggs suggest. -- Jitse Niesen (talk) 06:54, 4 May 2006 (UTC)
- OK. That looks like a better category. But this raises the question of whether "Numerical analysis" should be a subcategory of "Mathematical analysis". It seems like it should be, but it is not now. JRSpriggs 07:12, 2 May 2006 (UTC)
- Category:Mathematical analysis is the good one I think. Oleg Alexandrov (talk) 15:13, 1 May 2006 (UTC)
Hey guys, I appreciate the precise mathematical definition of the multiplicity of the zeros of a function, but how about a simple one line explanation that the multiplicity of a root is the number of times that root is repeated? Followed by a simple example, like the root of f(x) = (x-1)^3 is 1, with a multiplicity of 3, because it occurs 3 times. —Preceding unsigned comment added by Nedunuri (talk • contribs) 18:59, 20 Oct 2006 (UTC)
I second that. Myers6609 (talk) 01:15, 7 January 2009 (UTC)
Root / zeros
The article should be consistent in using root or zeros. Root is the more common in scientific use. Thomas Nygreen (talk) 22:52, 5 December 2007 (UTC)
- Then edit it... However, in analysis, I think that the zeroes of a function is more common than roots. mattbuck (talk) 23:02, 5 December 2007 (UTC)