查询词典 proof leaf

The proof of some propositions on points collinear in elementary geometry with vector mothod;2. The last we proof points of intersection being collinear .

文章首先证明了巴卜斯定理的特殊情况，然后利用此特殊情况及巴卜斯定理作了四个推广应用，最后将巴卜斯定理的原来三点共线推广到了六点共线，再推广到12n(n-1)个交点共线。

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。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。