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单词 absolute convergence
释义

absolute convergence in American English

noun Math
1. 
the property of an infinite series in which the series formed by replacing each term in the original series with its absolute value converges
Compare conditional convergence
2. 
the property of a sequence of functions in which the series whose terms are the successive differences of the elements of the sequence exhibits absolute convergence
3. 
the property of an improper integral in which the integral formed by replacing the integrand by its absolute value converges
Also called: unconditional convergence
Word origin
[1905–10]
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更新时间:2024/9/21 20:50:46