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Chinese to English translations [PRO] Science - Mathematics & Statistics | | Chinese term or phrase: 幂级数的和函数 | | A mathematical term. |
| albertdengKudoZ activityQuestions: 2113 ( 3 open) ( 8 without valid answers) ( 18 closed without grading) Answers: 164
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| | a function of the sum of a power series | Explanation: Two possibilities
1. The function is the number of the terms included in the summation. Given an epsilon there exists an N such that for n > N the difference between the finite sum of N terms and the infinite sum of the series (convergence assumed) is less than epsilon, otherwise not guaranteed for n < N terms included in the summation.
2. That the series is convergent is not the question, the function depends on the variable, say x, in the power series, Sigma a_n x^n.
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| Selected response from: franksf
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