查询词典 proof by contradiction

Inequality proof of various ways, they were: use derivative testify inequality nature, Includes using functional monotonicity and extreme value, the function and the concave and convex inequality, proving is concave and convex function in the original definition of equivalent definitions and a lemma is proposed on the basis of relevant concave and convex function of several theorems about inequality, and briefly discusses how to use the definitions and theorems in proof of inequality.

不等式的证明方法多种多样，它们分别是：用导数性质证明不等式；包括利用函数单调性，极值与最值，函数凹凸性证明不等式，其中在给出凹凸函数原始定义等价的解析定义和一个引理的基础上提出有关凹凸函数关于不等式的几个定理，并简要阐述了利用定义和定理在证明不等式中的运用。

Ji wants to win the proof of congelation letter of credit requested to must be a full proof, in other words, only prove to cheat is cheat materially, cheating the exception then can be the exception of independent sex principle but be applied.

纪要中所要求的冻结信用证的证据必须是充分的证据，换言之，只有证明欺诈是实质性的欺诈，欺诈例外才能作为独立性原则的例外而得到适用。

Refering to a sophisticated proof method in thermodynamics and based on a physics consideration, this article gives a clear and plain proof to the theorem that the conservative force has potential s.

借鉴热力学中的一种方法，用直观的物理论证，给出了保守力具势的充分性证明。

Refering to a sophisticated proof method in thermodynamics and based on a physics consideration, this article gives a clear and plain proof to the theorem that the conservative force has potentials.

借鉴热力学中的一种方法，用直观的物理论证，给出了保守力具势的充分性证明。

In the proof,sufficient conditions are proved mainly by properties of K function and continuity of Lyapunov function:in necessary proof,we separately structure Lyapunov functions which satisfy the conditions of the theorems, such that the results establish.

在定理的证明中充分性主要利用K类函数严格单调递增和Lyapunov函数的连续性；必要性的证明中，分别构造Lyapunov函数，满足定理的条件，使得定理的结论成立。

In this paper,making use of hyperplane method,we improve the proof of the separation theorem;On the other hand,we use a new method of moving neighborhood to simplify the proof for the continuity of a subconvex function defined on a convex in a normed linear space.

在巴拿赫空间理论中，Hahn-Banach泛函延拓定理作为泛函分析三大基本定理之一，分隔性定理是Hahn-Banach定理的重要应用，本文利用"超平面"的方法，改进了一个分隔性定理的证明；另外，本文利用邻域的"平移"方法，给出了定义在赋范线性空间内的凸集上的次凸泛函连续性的简捷证明。

Proof standard should be a kind of legal request defined that main bodies who is burden with proof try to reach when they prove the controvert facts with evidences and expound their own opinions.

总之，我们探讨的证明标准应该仅涉及狭义的证明和具体的具有可操作性的标准。

If not, you can assume some facts without proof, for example you could omit the proof that F_p^* is a cyclic group.

如果讲不完，可以承认一些事实而不用证明，比如你可以删掉Fp*是一个循环群的证明。

In the case of applying for declaration of bankruptcy of a debtor by a debtee, the debtee shall provide proof relevant to the amount and character of the creditors and the proof that the debtor being incapable to repay the due debt.

债权人申请宣告债务人破产的，应当提供关于债权数额、性质以及债务人不能清偿到期债务的证据。

He deemed that even though the premise of inductive inference was authentic, it was not the guarantee of authenticity of conclusion. Philosophers and logicians have tried quite a few ways to solve the issue, that is, to do deductive proof ; to do inductive proof with the help of the uniformity of the world; and so on.

对这一问题，哲学家和逻辑学家提出了种种解决途径：或借助概率弱化归纳推理的结论，企图对之作演绎论证；或借"世界齐一性"对之作归纳证明；或诉诸无知的解决方式；或釜底抽薪的解决方式。

You can do some assertiveness training.

你可以进行一些自信训练。

We were well on the path to making a rear-wheel-drive global platform," says Mays."

我们正致力于建立一个后轮驱动的平台，"Mays这样说道。"