查询词典 presumption of proof

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。

However, based on my understanding of Jiang Chun-xuan's analysis and the preprint of his new paper "Disproof Of Wiles' Proof For Fermat's Last Theorem", I believe that I am in the position to make some important remarks, which provide strong support to Jiang's disproof of "Wiles's Proof For Fermat's Last Theorem" as follows

然而，基于我对于蒋春暄的分析及其新的文章"对怀尔斯费马大定理证明之否定"预印本的理解，我相信我有条件提出一些重要的看法，可以对蒋春暄否定"怀尔斯费马大定理证明"的文章给予重要支持

Like most university graduates in mechanical engineering, I do not have the sufficient mathematical knowledge to judge major mathematical problems, i.e. Fermat's Last Theorem, Riemann's Hypothesis, Jiang Chun-xuan's proof of FLT, Wiles's in question proof of FLT, or Jiang Chun-xuan's disproof RH, etc.

像大部分机械工程大学毕业生那样，我没有足够的数学知识判断重大数学问题，如费马大定理〔FLT〕、黎曼假设〔RH〕等，以及蒋春暄对于FLT的证明、怀尔斯〔Wiles〕对FLT有问题的证明、蒋春暄对于RH的否定。

Furthermore, the proof of correctness of CalcCycleTime is also the proof of the existence of cycle time, the existence of generalized eigenvectors, and the duality theorem.

本论文中给出的CalcCycleTime算法的正确性证明同时是周时存在性、广义特征向量存在性和对偶定理的证明。

Methods Clinical data of 3 cases of bile duct injury during laparoscopic cholecystectomy were analyzed retrospectively.

回顾总结3例LC术中胆管损伤的临床资料，分析3例胆管损伤的原因及对策。

These techniques are applied to the gobang.

本文将这些技术用于五子棋中。