查询词典 existence proof

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。

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没有碰到水帘的漆雾由水帘下部进入喷漆室的后部，由喷嘴喷出的水雾冲洗、迷宫折板过滤及折板上的喷淋系统三次过滤后，废气经风机排至大气中，布局特点如次：一、设置双工位水帘喷漆室。二、槽体采用型钢及Q235钢板制作，板厚4mm。水帘板为不锈钢板，喷淋捕捉喷嘴为雾化喷嘴，抽风机采用防爆型风机。3、室体拼装板之间采用螺栓连接、安装、拆卸、迅速，便捷。四、配置喷漆室专用防爆照明，内部采光充足、明亮。5、漆雾处理采用水帘、喷淋捕捉加迷宫折板，可高效去除漆雾。6、轮回泵采用占地少、安装简略的管道泵。7、室体采用δ1.5mm钢板与型钢制作而成。八、防尘室体采用EPS板制成，设有出进门。9、水帘喷漆室技术参数序号项目参数1 处理风量（m3/h） 90002 功率 43 水泵功率 34 开口风速 0.6-0.75 压缩空气耗量（m3/min） 0.36 照明灯照度 4007 喷嘴 Z型8 喷漆室：外形尺寸 2500×2400×26009 防尘室：外形尺寸 2500×1800×3400注：手动喷漆系统采用台湾优质名牌产品。六、流平室流平室的作用是使喷漆后喷在工件表面上的漆铺平，并使溶剂挥发一些，以防止烘烤过快而在漆膜上浮现针孔。一、室体采用型钢与钢板焊制而成。

He writes,"Today I find it an impossible book: I consider it badly written, ponderous, embarrassing, image-mad and image-confused, sentimental, in places saccharine to the point of effeminacy, uneven in tempo, without the will to logical cleanliness, very convinced and therefore disdainful of proof, mistrustful even of the propriety of proof, a book for initiates…".

他写道，今天我觉得这是不可能的书：我认为写得很差，笨重，令人尴尬的，形象疯狂和图像混淆，感情用事，在地方糖精的地步effeminacy ，不均衡的节奏，而将逻辑清洁，非常确信，因此轻蔑的举证责任，不信任甚至是适当的证明，一本书的开始。。。

But this is impossible, as long as it is engaging in a market economy, there are risks in any operation.

但是，这是不可能的，只要是搞市场经济，是有风险的任何行动。

We're on the same wavelength.

我们是同道中人。