Talk:Taylor series: Difference between revisions

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imported>Derek Harkness
(Article checklist)
imported>Paul Wormer
(→‎multidimensional: new section)
 
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|                  by = [[User:Derek Harkness|Derek Harkness]] 10:12, 8 June 2007 (CDT)
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I just changed what I'd inserted previously.  Part of it now says:
I just changed what I'd inserted previously.  Part of it now says:
:''So it continues, adding corrections to corrections, and in the limit, if it converges then it converges to the actual value of <math>f(x)</math> even if <math>x</math> and <math>a</math> are far apart.''
:''So it continues, adding corrections to corrections, and in the limit, if it converges then it converges to the actual value of <math>f(x)</math> even if <math>x</math> and <math>a</math> are far apart.''
I'm not sure this is worded quite correctly or clearly either.  I had forgotten to take into account that it doesn't necessarily converge e.g. if x-a>1. --[[User:Catherine Woodgold|Catherine Woodgold]] 11:28, 5 May 2007 (CDT)
I'm not sure this is worded quite correctly or clearly either.  I had forgotten to take into account that it doesn't necessarily converge e.g. if x-a>1. --[[User:Catherine Woodgold|Catherine Woodgold]] 11:28, 5 May 2007 (CDT)
== multidimensional ==
Dmitrii, could you introduce  Taylor series of functions on <math>\mathbb{R}^n,\; n > 1</math>? I sometimes refer to those. Thanks,--[[User:Paul Wormer|Paul Wormer]] 12:39, 19 December 2008 (UTC)

Latest revision as of 06:39, 19 December 2008

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 Definition:  Representation of a function as an infinite sum of terms calculated from the values of its derivatives at a single point. [d] [e]
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I just changed what I'd inserted previously. Part of it now says:

So it continues, adding corrections to corrections, and in the limit, if it converges then it converges to the actual value of even if and are far apart.

I'm not sure this is worded quite correctly or clearly either. I had forgotten to take into account that it doesn't necessarily converge e.g. if x-a>1. --Catherine Woodgold 11:28, 5 May 2007 (CDT)

multidimensional

Dmitrii, could you introduce Taylor series of functions on ? I sometimes refer to those. Thanks,--Paul Wormer 12:39, 19 December 2008 (UTC)

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