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proof by contradiction

  • 反证法:一种论证方式,通过假设某命题成立,然后推理出明显矛盾的结果,从而得出原假设不成立的结论。

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  [数] 反证法

这方法叫反证法(proof by contradiction),是数学上一个颇常用的方法。这方法的特色就是由一个假设开始。

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  归谬法

...所要求证的状况的反面只有一种情形,只要断定该种状况不成立就可以得证,这种反证法又叫做「归谬法proof by contradiction);相反,如果所要求证的状况的反面不止一种,则必须一一把那些状况驳倒,才能断定所要求证者为真,这种反证法叫做「穷举法(pr...

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短语

proof f by contradiction 归谬法 ; 反证法

  • 归谬法
    反证法

·2,447,543篇论文数据,部分数据来源于NoteExpress

Proof by contradiction

  • abstract: In logic, proof by contradiction is a form of proof that establishes the truth or validity of a proposition by showing that the proposition's being false would imply a contradiction.

以上来源于: WordNet

双语例句权威例句

  • The proof by contradiction is one of the most important methods of proving propositions in mathematics.

    如何有效地提高和改进反证法教学,摆在中学数学教师面前的一个重要课题。

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  • The proof is by contradiction. Suppose each real number could be given its own room.

    这样论证自相矛盾的。

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更多双语例句
  • It is time for the Court to construct a straight-forward reductio ad absurdum proof by logical contradiction to uncover the fallacies and inconsistencies in its past reasoning, which have led to a constitutional contradiction.

    FORBES: The Paradox of Rights 'Granted' Us by Government

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