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dominated convergence theorem中文是什么意思

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用"dominated convergence theorem"造句"dominated convergence theorem"怎么读"dominated convergence theorem" in a sentence

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百科解释

In measure theory, Lebesgue's dominated convergence theorem provides sufficient conditions under which two limit processes commute, namely Lebesgue integration and almost everywhere convergence of a sequence of functions. The dominated convergence theorem does not hold for the Riemann integral because the limit of a sequence of Riemann-integrable functions is in many cases not Riemann-integrable.
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