Glossary entry (derived from question below)
Chinese term or phrase:
用多项式逼近函数
English translation:
to expand a function in a power series and truncate
Added to glossary by
albertdeng
Sep 25, 2007 10:39
16 yrs ago
Chinese term
New Zealand
Highest, strongest, best
Native in: Chinese 
Works in: English to Chinese, Chinese to English, English
用多项式逼近函数
Chinese to English
Science
Mathematics & Statistics
Taylor定理中用多项式逼近函数的思想
Proposed translations
(English)
| 3 | to expand a function in a power series and truncate |
franksf
|
| 5 | approximation by polynomials |
Bogoyedov
|
| 4 | employs a polynomial approximation function |
Jennifer Brooks
|
Proposed translations
7 hrs
Selected
to expand a function in a power series and truncate
to expand a function in a power series and then truncate it to end up with a polynomial
The Taylor theorem is the following:
f(x) = f(a) + f'(a) (x-a) + (1/2) f"(a) (x-a)^2 + (1/6) f'''(a) (x-a)^3 + ...
On any computer it has to be truncated to a polynomial, if the series expansion is applied literally.
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Note added at 7 hrs (2007-09-25 18:31:48 GMT)
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To approximate a function by polynomials is an often used but different algorithm.
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Note added at 7 hrs (2007-09-25 18:35:14 GMT)
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To approximate a function by polynomials is applied where there is no analytic form of the function at hand.
The Taylor theorem is the following:
f(x) = f(a) + f'(a) (x-a) + (1/2) f"(a) (x-a)^2 + (1/6) f'''(a) (x-a)^3 + ...
On any computer it has to be truncated to a polynomial, if the series expansion is applied literally.
--------------------------------------------------
Note added at 7 hrs (2007-09-25 18:31:48 GMT)
--------------------------------------------------
To approximate a function by polynomials is an often used but different algorithm.
--------------------------------------------------
Note added at 7 hrs (2007-09-25 18:35:14 GMT)
--------------------------------------------------
To approximate a function by polynomials is applied where there is no analytic form of the function at hand.
4 KudoZ points awarded for this answer.
Comment: "Thank you."
1 hr
Chinese term (edited):
用逼近函数
employs a polynomial approximation function
employs a polynomial approximation function
6 days
approximation by polynomials
In the context of Taylor's theorem, this must be what is meant here.
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