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Finally the use of reduction to absurdity that they should pay attention to solving some problems.

最后指出了运用反证法解题时应注意的几点问题。

In another part, apagoge is used in this paper to tell us that not all the stability conditions deduced by the heuristic method are the necessary computational stability conditions, which should be given attention in their applications.

在文章的另一部分,反证法的运用表明了从启示性方法推导来的稳定性条件并非全都是必要条件,在应用中应引起注意。

In another part, apagoge is used in this paper to tell us that not all the stability conditions deduced by the heuristic method are the necessary computational stability conditions, which should be pay attention to in their applications.

在文章的另一部分,反证法的运用表明了从启示性方法推导来的稳定性条件并非全都是必要条件,在应用中应引起注意。

The argument principle of the method of proof by contradiction is base on equivalent relation of dual propositions.

反证法是利用对偶命题等价的原理进行论证。

It is proved that there is no contradiction between biaxial stress ellipse theory and practical loading condition.

摘要采用反证法探讨了前人在基础理论的推理过程中存在的问题,证明双向应力椭圆理论与实际载荷条件并不矛盾。

For the value of n given 4m-3,the author uses the propositional transformation,the counterevidence and one-to-one correspondence between variables and the value of the functionso to prove the validity of Erds conjecture.

对于n为4m-3形的奇数,文章采用命题转化法及反证法,并用自变量与函数值的一一对应关系证明了Erd■猜想成立。

Based on the fundamental theory of impulsive differential systems, employing Green formula, Gauss divergence theorem, Jensen inequality and Gronwall-Bellman inequality with impulse, we discuss the oscillation of impulsive partial differential systems by adopting reduction to absurdity and the stability in via of comparison theorem, respectively. Especially, we take an in-depth study on the oscillation of neutral impulsive parabolic systems and the stability of a class of nonlinear impulsive partial differential equations and obtain some useful conclusions.

本学位论文以脉冲微分系统基本理论为基础,利用反证法的分析方法和比较定理,结合Green公式、Gauss散度定理、Jensen不等式、含脉冲的Gronwall-Bellman不等式以及相关数学工具研究了脉冲偏微分系统的振动理论和稳定性理论,特别对中立型脉冲时滞抛物系统的振动性和一类非线性脉冲偏微分系统的稳定性作了较为深入的研究,给出了一些有用的结论。

Mathematics proved to be direct and two indirect method, the reduction to absurdity is a kind of indirect proof, it is mathematical proof of Dafa.

帮我翻译:数学证明有直接法和间接法两,反证法是间接证法的一种,它是数学证明的大法。

The chapter two, by using reduction to absurdity and estimating the differential inequality, we investigate the oscillation of a kind of even order half- linear differential equation, and we give an example to validate the theorem.

在第二章中,我们利用反证法及对微分不等式的估计研究了一种偶数阶半线性微分方程解的振动性,接着举了例子验证所得定理。

To prove the inequality involving for negative proposition, the proposition "or at least",""," nonexistence "and" impossible "words, can consider to use when required.

凡涉及到的证明不等式为否定命题、惟一性命题或含有"至多"、"至少"、"不存在"、"不可能"等词语时,可以考虑用反证法。

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