名词
中文翻译：贝塞尔不等式
同义词：
["Bessel's inequality", "Bessel's inequalities例句：1. In the contextof probability theory", 'the Besselinequality is a fundamental result that states thatthe expected value of a sum of independentrandom variables is equal to the sum oftheir individual expected values.（在概率论的背景下，贝塞尔不等式是一个基本的结果，它表明独立随机变量之和的期望值等于各个随机变量期望值之和。）2. This inequality has applications in variousfields', 'including engineering and finance', "whereit is used to analyze the behavior ofsystems under different conditions.（这个不等式在工程和金融等领域有着广泛的应用，用于分析系统在不同条件下的行为。）3. TheBessel inequality isalso known as the Bessel's inequality", 'and itis a key tool for studying the distributionof random variables.（贝塞尔不等式也被称为贝塞尔不等式，它是研究随机变量分布的关键工具。）']
例句：
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1. In the contextof probability theory, the Besselinequality is a fundamental result that states thatthe expected value of a sum of independentrandom variables is equal to the sum oftheir individual expected values.
在概率论的背景下，贝塞尔不等式是一个基本的结果，它表明独立随机变量之和的期望值等于各个随机变量期望值之和。
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2. This inequality has applications in variousfields, including engineering and finance, whereit is used to analyze the behavior ofsystems under different conditions.
这个不等式在工程和金融等领域有着广泛的应用，用于分析系统在不同条件下的行为。
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3. TheBessel inequality isalso known as the Bessel's inequality, and itis a key tool for studying the distributionof random variables.
贝塞尔不等式也被称为贝塞尔不等式，它是研究随机变量分布的关键工具。