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Chinese to English translations [PRO]
Science - Mathematics & Statistics | | Chinese term or phrase: 用多项式逼近函数 | | Taylor定理中用多项式逼近函数的思想 |
|  albertdengKudoZ activityQuestions: 2212 ( 4 open) ( 9 without valid answers) ( 20 closed without grading) Answers: 164
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| | to expand a function in a power series and truncate | Explanation:
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. |
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franksf
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