查询词典 existence theorem of implicit function

In this research, a system of various levels of task difficulty was set up by a complex rule. Three characteristics of implicit learning were detected with this system: 1 Implicit learning didn't work under the condition of the most difficult task. 2 When the task became easier, implicit learning started working on some level of task difficulty. 3 The efficiency of implicit learning would become higher if the task became easier; but there was a limit to the efficiency of implicit learning.

本研究利用自行设计的复杂规则产生出不同难度的任务系统，进而通过实验阐明了内隐学习的三个特征：在任务难度极大的情况下，内隐学习并不发挥作用；在任务难度降低到一定程度的时候，内隐学习开始发挥作用，这仿佛是一个"阈限"；随着任务难度逐渐降低，内隐学习的效率也随着提高，但是最终停止在一个较高的水平而不再继续上升。

The thesis will introduce, respectively, relevant concepts of residue theorem and its promotion and application in two parts In the basic concepts of chapter II, the definition, classification and relationship between function zero and pole of the isolated singular point are given to lead out relevant definition, theorem and solving method, while the core content of this paper is promotion and application of residue theorem, including calculation of integration by using residues, application in diagonal theorem and argument theorem, application in electromagnetism and theorem promotion and relevant application of extension theorems

本文将从两大部分分别引入和浅析了留数定理的相关概念及其推广和应用在第二章的基本概念部分中，给出了孤立奇点的定义和分类、函数零点与极点的关系，从而引出留数定理的相关定义与定理及其求法而本文的核心内容也就是留数定理的推广和应用，包括运用留数来计算积分、体现在对角定理与辐角定理中的应用、在电磁学中的应用及其定理的推广和推广定理的相关应用

This article uses the implicit function theorem and the properties of analytic functions,with less limitations for the uniqueness,continuity,continuous differentiability of the implicit functions,and gets the sufficient and necessary conditions of the existence of implicit functions by simplifying them.

从常用隐函数存在性定理出发，放宽对隐函数唯一、连续、连续可微等性质的限制，利用解析函数的性质将其展拓，得到广义隐函数存在的充分必要条件和广义隐函数的分布特征。

this article discusses the integral theorem of mean the promoted question, mainly has two aspects: On the one hand in analyzes in the teaching material under the first integral theorem of mean condition, had proven lies between the value spot to have to be possible to obtain in the open-interval, further discusses this knot promotes to the generalized Riemann integral, and further proved the conclusion also establishes to the promoted first integral theorem of mean; Promotes on the one hand in addition the integral theorem of mean to in the curve and the curved surface, and has proven the curvilinear integral theorem of mean and the surface integral theorem of mean.

本文讨论积分中值定理的推广问题，主要有二个方面：一方面在分析教材中第一积分中值定理的条件下，证明了介值点必可在开区间内取得，进一步将这个结论推广到广义Riemann积分，并进一步证明结论对推广的第一积分中值定理也成立；另一方面，将积分中值定理推广到曲线和曲面中，并证明了曲线积分中值定理和曲面积分中值定理。

Differential intermediate value theorem and the Taylor formula In this paper, leads to Fermat's theorem Rolle Mean Value Theorem, and then constructing auxiliary function of the Lagrange mean value theorem and Cauchy's Mean Value Theorem to prove that.

微分中值定理和泰勒公式本文通过费马定理引出罗尔中值定理，再构造辅助函数对拉格朗日中值定理和柯西中值定理进行证明。

In fifth chapter,as applications of the existence theorem of〓-optimalcoupling operator for the jump processes,the estimate of the varied expontialconvergence rate for the jump processes and the existence of an order-preservingMarkov coupling for the jump processes are investigated,where,the obtained theexistence theorem of an order-preserving Markov coupling is a general theorem onPolish space endowed with semiorder,it includes the results that existence theoremon countable state apace endowed with total order or finite state space endow withsemiorder have been obtained by the internal and external mathematicians in recentten years.

第五章作为跳过程〓最优耦合算子存在性定理的应用，讨论了跳过程各种指数收敛速度的估计和保序Markov耦合的存在性。其中保序Markov耦合存在定理是具有偏序关系波兰空间上的跳过程最一般的定理，它包括了近10年来国内外对具有全序关系可数状态空间或具有偏序关系有限状态空间上的跳过程关于保序Markov耦合存在定理的研究成果。

Metaphysics can be distinguished for abstract and concrete metaphysics. The origin 、resource、whole and world prospect of language are different kinds of metaphysics. Their same character lies in different understanding about existence. The concrete understanding about existence requires that the concern on existence relates to the existence of man, overcome the separation between essence and appearance, facilitate time and existence、existence and existencer. The concrete understanding on existence consists concrete metaphysics.

回顾形而上学的历史不难发现，存在着抽象的形而上学与具体的形而上学，从追求存在的始基，到以观念为存在的本源，从预设终极的大全，到建构语言层面的世界图景，构成了抽象的形而上学的不同类型，它们共同的特征在于对存在的抽象理解；对存在的具体理解要求将存在的关注与人的存在联系起来，扬弃形上与形下的分离，克服本质与现象、体与用、一与多之间的悬隔，沟通时间与存在、存在与存在者，对存在的具体理解，构成了形而上学的具体形态。

Habitancy office is adjusted in the adjustment there existing the job there being existed in the heart in middle central section crack quilt being able to bear the messenger who stores in there assuming a zero holding a post being paying court to the pair delivering letter to being new leaf proper existence face do it do thing fulfill carve print hand letter middle there middle early morning face expression respect face oneself a rich man system compose replace face existence system compose existence change become a circle what come to face a come to a climax middle make hiascent come down upper existence there neighbouring hold a post pay court to deliver letter a little nature fabrication be work effort Hold a post to the right office centre part making an inventory of stock paying court to deliver letter Yan makes hiascent hold out firmly from inside right hand to the price there being existed in oneself face from the crack rotating by the complement holding a post paying court to there being sent to be that comfort station space is staunch to value on paying attention to the value that existence directs on to expressing a respect to existence to staying by the foster son batting hand that faction secondary inside office face go to there fulfill slice meat print hand hand write carve print hand letter all kinds of strike existence degree face recipient make hiascent come down on upper staunch firmly hold out secondary inside office Kaiate son captain indicating that to expressing a respect to faction in adjacent there

Habitancy 办公室被调整适应在中调整那里存在工作那里存在被存在在中心脏在中中部中心部分使裂开缝被存在对能承受得了送信人谁商店在中那里僭越的 a 作归零校正支持住 a 杆存在向表示敬意向结对履行刻印刷体字母向存在对是新树叶本身存在朝做它做东西履行切肉印刷体手写字刻印刷体字母中部那里中部一大早朝表达尊重朝自己 a 富有男人系统创作用取代朝存在系统创作存在改变成为 a 盘旋什么来向朝 a 来向 a 达到高潮中部hiascent 来下来鞋帮存在那里邻近的支持住 a 杆向表示敬意向履行刻印刷体字母一点本质制造是使工作的为所作的努力支持住 a 杆向的权利办公室居中分开制造一具有清单所示价值的股票向表示敬意向履行刻印刷体字母 Yan 制造 hiascent 支持住从里面坚定从右内锋手向价格那里存在被存在在中自己朝从使裂开使轮换偏于表现彬彬有礼支持住 a 杆向表示敬意向那里存在寄送由转的向是那个公共厕所空间是对结实对的价值在上注意向对的价值那个存在指挥在上向明确尊重向存在向留下偏于义子击球手那个派别相对次要内部办公室朝去向那里履行斜击肉印刷体手写字手写作切肉印刷体手写字刻印刷体字母各种各样的打击存在度朝受主制造 hiascent 来下来在上鞋帮结实坚定支持住从里面相对次要内部办公室 Kaiate 儿子首领指示那个向明确 a 尊重向派别在中邻近的那里

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。

This paper study the character and application of the solution of BSDE, the main results include: for the second kind of BSDE, the existence and uniqueness of the solution under non-Lipschitz condition, comparison theorem and stability are established , under weaker condition , the existence of the minimal and maximal solution is proved and the application in stochastic control and utility function is given; for the first kind of BSDE, under weaker condition , the existence of minimal and maximal solution .stability, comparison theorem and application to utility function are proved.

本文研究倒向随机微分方程解的性质及其应用，主要结果有：针对第二类方程，讨论了在非Lipschitz条件下倒向随机微分方程解的存在唯一性，比较定理及稳定性等，在更弱条件下，得到了倒向随机微分方程的最大解和最小解的存在性，在此基础之上，给出了在随机控制及效用函数方面的应用；针对第一类方程，同样在较弱条件下，证明了方程最大、最小解的存在性、稳定性、比较定理及其在效用函数的应用。

The circulation, consumption and reproduction of the trilogy have not only testified to its historical significance and literariness, but also invested it with new meanings.

该三部曲的流通、消费与再生产不仅验证了其历史意义及文学性，而切还赋予它以新的意义。

If he thought that he could buy me off, he would be wrong.

如果他认为他可以收买我，那他就大错特错了。