Convergence of measures
In mathematics, more specifically measure theory, there are various notions of the convergence of measures. For an intuitive general sense of what is meant by convergence in measure, consider a sequence of measures μn on a space, sharing a common collection of measurable sets. Such a sequence might represent an attempt to construct 'better and better' approximations to a desired measure μ that is difficult to obtain directly. The meaning of 'better and better' is subject to all the usual caveats for taking limits; for any error tolerance ε > 0 we require there be N sufficiently large for n ≥ N to ensure the 'difference' between μn and μ is smaller than ε. Various notions of convergence specify precisely what the word 'difference' should mean in that description; these notions are not equiv
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Convergence of measures
In mathematics, more specifically measure theory, there are various notions of the convergence of measures. For an intuitive general sense of what is meant by convergence in measure, consider a sequence of measures μn on a space, sharing a common collection of measurable sets. Such a sequence might represent an attempt to construct 'better and better' approximations to a desired measure μ that is difficult to obtain directly. The meaning of 'better and better' is subject to all the usual caveats for taking limits; for any error tolerance ε > 0 we require there be N sufficiently large for n ≥ N to ensure the 'difference' between μn and μ is smaller than ε. Various notions of convergence specify precisely what the word 'difference' should mean in that description; these notions are not equiv
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En mathématiques, plus spécifi ...... unes sont décrites ci-dessous.
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In mathematics, more specifica ...... nvergence are described below.
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测度收敛是测度论中的一个概念: 假设可测空间上有一个有趣却很 ...... 互相不等价,强弱有别。 下面介绍3种最常见的测度收敛的定义。
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En mathématiques, plus spécifi ...... spécifient précisément ce que
@fr
In mathematics, more specifica ...... n; these notions are not equiv
@en
测度收敛是测度论中的一个概念: 假设可测空间上有一个有趣却很 ...... 互相不等价,强弱有别。 下面介绍3种最常见的测度收敛的定义。
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Convergence de mesures
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Convergence of measures
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测度收敛
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