Glossary entry (derived from question below)
Chinese term or phrase:
幂级数的和函数
English translation:
a function of the sum of a power series
Added to glossary by
albertdeng
Sep 29, 2007 09:18
16 yrs ago
Chinese term
New Zealand
Highest, strongest, best
Native in: Chinese 
Works in: English to Chinese, Chinese to English, English
幂级数的和函数
Chinese to English
Science
Mathematics & Statistics
A mathematical term.
Proposed translations
(English)
| 3 | a function of the sum of a power series |
franksf
|
| 4 | power series (function) |
Bogoyedov
|
Proposed translations
7 hrs
Selected
a function of the sum of a power series
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.
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.
4 KudoZ points awarded for this answer.
Comment: "Thank you."
10 hrs
power series (function)
You give no context. I think there are two possibilities:
1) all it means is that the function is given by a power series.
"series" already includes the notion of sum. I would translate it simply as "power series" or "power series function"
2) Conceivably, it could be a function given by the sum of two or more power series.
There is no way to tell which is correct without context.
1) all it means is that the function is given by a power series.
"series" already includes the notion of sum. I would translate it simply as "power series" or "power series function"
2) Conceivably, it could be a function given by the sum of two or more power series.
There is no way to tell which is correct without context.
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