名词
中文翻译：弗雷德霍尔姆替代定理
同义词：
["Fredholm's alternative theorem", "Fredholm's alternative theorem"]
例句：
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1. This theoremhas been proven to be a powerful tool for solving complex problems.
这个定理已被证明是解决复杂问题的强大工具。
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2.In the field of mathematics, this theorem is often used to prove theorems in other areas.
在数学领域，这个定理经常被用来证明其他领域的定理。
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3.The theorem has been widely applied in various fields, including engineering and computer science.
这个定理已在工程和计算机科学等多个领域得到广泛应用。