查询词典 existence proof

The chemist Dalton first gave a proof of the existence of atoms and the engineer Sadi Carnot first gave a proof of the Second Law of Thermodynamics.

化学家道尔顿最先证明了原子的存在，工程师萨迪。卡诺第一个证明了热力学第二定律。

Not that we believe God does exist, but we think that the real problem is not that of His existence; what man needs is to find himself again and to understand that nothing can save him from himself, not even a valid proof of the existence of God.

这就是我们的观点。人所需要的是去重新发现他自己，是去了解没有什么东西能够从他的自身中拯救他，就算有上帝存在的确切证据也不能够的。

We divide the existence of generalized solutions into three theorems becauseof the existence of a generalized supersolution we need in the proof.To ob-tain this fact,we discuss three different cases separately.WhenΩhas strictconvexity,it can be proved that the generalized supersolution of (1)(2)is theconvex-monotone hull of 〓in 〓,this is theorem 2.WhenΩdoesn't hasthe strict convexity,in theorem 3 we have to suppose there exists a generalizedsupersolution.

我们的广义解的存在性结果之所以分成三个定理陈述，主要是因为在我们的存在性证明中，一个重要的事实就是广义上解的存在性，而为了得到这个事实，我们分别讨论了三种不同的情况：在定理2中的假设〓具有严格凸性时，我们证明了问题（1）（2）的广义上解就是初边值〓的凸单调包，而在〓没有严格凸性时，我们在定理3中假定了一个广义上解的存在性。

Therefore, this research emphasizes on the learners with personality traits and learning style, and adds knowledge creation factor to see how the learners' responses toward the external stimulators under the E-learning environments. Then this research analyzes the learners' differences on the basic existence and points out that what kind of teaching methods suits the learners best. This research has three results as following: 1.The personality traits and the learning style have the remarkable corresponding relational existence. Openness corresponds to assimilator; Conscientiousness corresponds to converger; Extraversion corresponds to accommodator; Neuroticism corresponds to diverger; Agreeableness has no remarkable correspondence relational existence.

故本研究以人格特质、学习风格等学习者个体本身对於外在环境刺激所反应出的行为，加入知识创造行为，在数位学习的学习环境下进行成效的探讨，分析学习者在根本上所存在的差异，并指出以何种方式进行教学较适合学习者本身，研究结果发现：一、人格特质与学习风格有显著对应的关系存在，聪颖开放人格对应同化型；严谨自律人格对应聚合型；外向人格对应调适型；神经人格对应於分散型；和善人格无显著对应的关系存在。

Huang and Lin proposed the weak solution concept for Backward Stochastic Differential Equation This paper based on the predecessor's work , gives the weak solution concept for Backward Stochastic Differential Equation with continuous martingale,uses the Girsanov transformation, obtains its weak solution of the existence of a necessary and sufficient conditions, and on this basis obtains its weak solution of the existence of sufficient conditions,these sufficient conditions weakened the drifting coefficient which requested in the existence uniqueness of strong solution to satisfy the Lipschitz condition the request.

本文在前人研究的基础上，给出由连续鞅驱动的倒向随机微分方程弱解的概念，利用Girsanov变换，得到其弱解存在的存在的一个充分必要条件，并在此基础上得到了其弱解存在的一些充分条件，这些充分条件减弱了在强解的存在唯一性中要求的漂移系数满足Lipschitz条件的要求。

But the existence in question is no longer the juridical existence of sovereignty; at stake is the biological existence of a population.

但是生存的考虑不再是君主的司法存在；考虑的是人口的生物存在。

The author strictly distinguishes existor from existence, reveals their symmetrical and complemental features and expounds the symmetrical and complemental relation between subjective existence and objective existence.

作者严格区分了在者与存在，揭示出其对称互补的特征，并进而论述了主客体存在的对称互补及其各自的对称互补关系。

This article is divided into four chapters: Chapter I of the existence of Marxist theory on the basis of science and the clarity; chapter of history throughout the domain of the existence of "person" and "Nature" and its relations; Chapter HI of Marx\'s "a science" thinking; conclusion in Chapter IV of the existence of Marxist theory on the scientific understanding of the minds of historical materialism.

本文共分为四章：第一章马克思关于科学的存在论基础的澄明；第二章在历史的存在论境域中的"人"与"自然"及其关系；第三章马克思的"一门科学"思想；第四章结语在马克思关于科学的存在论思想中领会历史唯物主义。

The contents are the following:In chapter two, the existence and multiplicity results for the following equation of p-Laplacian type are obtained.For the elliptic quasilinear hemivariational inequality involving the p-Laplacian operator,in order to use the mountain pass theorem proving the existence result, the authors usually need to use the uniform convexity of the Sobolev space to prove the energy function satisfies the PS condition. But for the p-Laplacian type equation mentioned above, this method is no use. To overcome this difficulty, the potential function is assumed to be convex, then I prove the existence result and by using the extension of the Ricceri theorem, the multiplicity result for the problem is obtained.

在第二章我们首先考虑关于以下p-Laplacian型(p-Laplacian type)方程非平凡解及多解的存在性对于带有p-Laplacian算子的椭圆拟线性半边分不等式问题，为应用非光滑的山路引理证明解的存在性，在证明方程所对应的能量泛函满足非光滑的PS条件时，需利用Sobolev空间的一致凸性，但是对于具有更一般形式的算子的p-Laplacian型方程，不具备上述性质，在文中为克服这一困难，本人对位势泛函做了一致凸的假设，从而证明了解的存在性，并应用推广的Ricceri定理，证明了方程三个解的存在性。

As for the existence of positive solutions, the cone theory and the fixed point index of condensing mapping are employed, and the results of the existence of positive solutions are obtained in the case of superlinear and sublinear. The conclusions extend and improve the existence theorem which Lou Ben-dong extablished in 1996 about the question of Sturm-Liouville of Banach spaces.

三、对于正解存在性问题，我们应用凝聚映射的不动点指数理论，分别在超线性与次线性情形下进行讨论，获得了一些正解存在的结果，主要结果推广和改进了1996年Lou Ben-dong对Banach空间Sturm-Liouville问题所建立的存在性定理。

In this new architectural plan the Garden of Golgotha came to be at the centre of the new city.

Aelia 是高举他自己，并在此城内朝拜罗马诸神。

The continuous nature of peat accumulation means that terrestrial coaly rocks may provide a higher resolution and more complete record of base-level change than the time-equivalent shallow-marine strata, thus enabling the identification of highfrequency cycles that are not recorded in themarine strata.

泥炭积累的持续性质的手段，陆地coaly岩石可提供较高的分辨率和更完整的记录基准面变化的影响时，相当于浅海阶层，从而使确定的高频周期，不记录在themarine 阶层。