名词
中文翻译：等价定理
同义词：
['equivalence theorem', 'equivalence principle例句：1. The equivalence theorem states that two functions are equal if they have the same domain and range.（等价定理表明，如果两个函数具有相同的域和范围，那么它们就是相等的。）2. In mathematics', 'the equivalence theorem is used to prove that two expressions are equivalent.（在数学中，等价定理被用来证明两个表达式是等价的。）']
例句：
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1. The equivalence theorem states that two functions are equal if they have the same domain and range.
等价定理表明，如果两个函数具有相同的域和范围，那么它们就是相等的。
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2. In mathematics, the equivalence theorem is used to prove that two expressions are equivalent.
在数学中，等价定理被用来证明两个表达式是等价的。
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3.The equivalence theorem has been proven to hold for all non-zero real numbers.
等价定理已被证明对所有非零实数都成立。