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Topic: How well do the first n terms of Maclaurin's expansion approximate a
function?

Replies: 16   Last Post: Apr 10, 2004 4:03 PM

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James Dolan

Posts: 79
Registered: 12/6/04
Re: How well do the first n terms of Maclaurin's expansion approximate a function?
Posted: Apr 10, 2004 4:03 PM
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In article <waderameyxiii-3f1f1b.11232210042004@comcast.ash.giganews.com>,
the world wide wade <waderameyxiii@comcast.remove13.net> wrote:

|> i guess you're only doing the case where x0<x1<...<xn at all non-zero
|> times?
|
|Not sure how you got that idea. I only assumed x0, x1, ..., xn are
|distinct; I see no problem allowing one of xj's to be 0. I haven't thought
|about "degenerate" cases.

that's what i was talking about, that you didn't discuss the
degenerate cases. (in the non-degenerate case x0<x1<...<xn without
loss of generality.) in giving a characterization of the c^n
functions along the lines i suggested it would probably be more
annoying to leave the degenerate cases out than to include them.


--


[e-mail address jdolan@math.ucr.edu]



Date Subject Author
4/6/04
Read How well do the first n terms of Maclaurin's expansion approximate a
function?
George Cox
4/6/04
Read Re: How well do the first n terms of Maclaurin's expansion approximate a function?
The World Wide Wade
4/7/04
Read Re: How well do the first n terms of Maclaurin's expansion approximate
a function?
Stephen Herschkorn
4/7/04
Read Re: How well do the first n terms of Maclaurin's expansion approximate a function?
Alex.Lupas
4/7/04
Read Re: How well do the first n terms of Maclaurin's expansion approximate
a function?
George Cox
4/7/04
Read Re: How well do the first n terms of Maclaurin's expansion approximate a function?
Herman Rubin
4/7/04
Read Re: How well do the first n terms of Maclaurin's expansion approximate a
function?
George Cox
4/7/04
Read Re: How well do the first n terms of Maclaurin's expansion approximate a function?
Lee Rudolph
4/7/04
Read Re: How well do the first n terms of Maclaurin's expansion approximate a function?
James Dolan
4/7/04
Read Re: How well do the first n terms of Maclaurin's expansion approximate a function?
James Dolan
4/8/04
Read Re: How well do the first n terms of Maclaurin's expansion approximate a function?
David C. Ullrich
4/8/04
Read Re: How well do the first n terms of Maclaurin's expansion approximate a function?
Lee Rudolph
4/8/04
Read Re: How well do the first n terms of Maclaurin's expansion approximate a function?
David C. Ullrich
4/9/04
Read Re: How well do the first n terms of Maclaurin's expansion approximate a function?
The World Wide Wade
4/9/04
Read Re: How well do the first n terms of Maclaurin's expansion approximate a function?
James Dolan
4/10/04
Read Re: How well do the first n terms of Maclaurin's expansion approximate a function?
The World Wide Wade
4/10/04
Read Re: How well do the first n terms of Maclaurin's expansion approximate a function?
James Dolan

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