通过反证法，不存在一个程序，能像传说中的P一样运行。
By reductio, there cannot possibly be a procedure that acts like the mythical P.
议论文写作中，利用反证法常能很好地驳斥对方论点并树立自己的论点。
Using rebuttals of evidence in an argumentative paper can both attack the arguments of your opponents and support your own ones.
反例和反证法是数学中常用的方法，在统计数学中也有许多有趣的应用。
The negative example and reductio ad adsurdum Proof obtain an interesting application in statistical mathematic.
着重以例题的形式详细阐述了反证法在中学数学证明题中的应用和适应的评述。
Emphasis on the form of sample questions in detail reduction to absurdity to prove title in middle school math application and adaptation of the comments.
如何有效地提高和改进反证法的教学，是摆在中学数学教师面前的一个重要课题。
The proof by contradiction is one of the most important methods of proving propositions in mathematics.
用反证法证明在负绝对温度下热力学第二定律的开尔文表述和克劳修斯表述等效。
This paper tries to prove equivalence of Kelvin Statement and Clausius Statement of the second law of thermodynamics under negative absolute temperature by reduction to absurdity.
基于具有同构关系的对应点无限衍生技术，采用反证法证明了这个充分必要条件的成立。
With the help of the technique for unlimitedly generating the corresponding pairs of vertices, this condition is proved with the method of reduction to absurdity.
基于具有同构关系的对应点无限衍生技术，采用反证法证明了这个充分必要条件的成立。
With the help of the technique for unlimitedly generating the corresponding pairs of vertices, this condition is proved with the method of reduction to absurdity.
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