查询词典 integral

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational ,basic , differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality and Minkowski inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式和闵可夫斯基不等式以及这几个不等式的应用，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

The thesis consists of the followingmain results:the Cauchy's integral formula on certain distinguished boundaryfor LR regular functions with values in a universal Clifford algebra 〓,theCauchy's integral theorem,the mean value theorem,the maximum modulus the-orem.the Taylor's expansion,the Laurent's expansion and the residue theoremetc..

第一章叙述了泛Clifford代数基本理论，其中，我们首先准确而又富有创造性地给出了在泛Clifford代数〓上的一个对合运算表示，由此，我们给出了在泛Clifford代数〓上的一个内积，然后，我们借此给出了在泛Clifford代数〓上的相应的两个等价的范数，并证明了若在〓上赋予其中的一个范数，则〓是一个Banach代数。

In chapter 1, we introduce some notions and some classical results related to this paper, such as Cauchy type integral as well as the limiting value of Cauchy integral and so on.

第一章介绍了本文涉及到的知识背景和相关的基本概念：Cauchy型积分，Cauchy主值积分等，以及本文要用到的与它们有关的一些经典结果。

This paper discusses the Noether theorem of complete singular integral equation which containsboth the convolution kernel and the Cauchy kernel, and comes up with the Noether theoremwhich is similar to the Fredholm integral equation, the convolution equation and the singularintegral equation.

本文讨论了既含卷积核又含Cauchy核的完全奇异积分方程的Noether定理，得到了与Fredholm积分方程、卷积型积分方程、奇异积分方程相类似的Noether定理。

According to the principle of quantum mechanics, exploringly presented the possible mechanism of large-scale expansion at forepart of earth, quanta earth tectonic dynamic mechanism formed from super solid state of centrosphere material, presented the integral tectonic criterion in the process of evolution of earth system considering potential of quanta, potential energy of gravitation and heat energy as a result of special state of matter of centrosphere.③Established the evolutional model of finite nonlinear expansion to of integral tectonic dynamic of earth expansion., presumed and gived the skeleton model of original forepart earth before expanding. Applying the universal large scale finite element software, for the first time considered heat power and self gravitation in the same model of tectonic dynamic model simultaneously.

较系统地讨论了地球膨胀整体构造动力的若干基本理论问题：①分析汇总了地球演化产生、积累和以各种形式损耗的总能量，根据考虑引力势能与热能的维里定理，对现时地球整体动力状态进行判断；②根据量子力学原理，探索性地提出地球大规模膨胀的可能机制——地核物质超固态形成量子简併压强产生的动力——地球量子动力，给出了考虑地核特殊物态的量子势能、引力势能和热能的地球系统演化过程中的整体动力状态判据；③建立了地球膨胀整体构造动力的非线性有限膨胀演化模型，推测给出膨胀前早期地球的轮廓性模型。

For instance, it is the closest give 1000 to have sales promotion choicely from inside supplier of many 7000 hotels, want consumer to be booked through the network only, can obtain corresponding integral, these integral are OK the monetary amount with specific translate into, support the consumption that buckles hotel or airline ticket.

比如，它最近从7000多家酒店供应商中精选出1000家进行促销，只要消费者通过网络预订，便能获得相应的积分，这些积分可以转化为具体的货币金额，抵扣酒店或机票的消费。

It gives a relationship between a surface integral over an oriented surface and a line integral along a simple closed curve .

它建立了有向曲面上的曲面积分与它的边界曲线积分的关系。

The main subjects of the volume include:- spectral analysis of periodic differential operators and delay equations, stabilizing controllers, Fourier multipliers;- multivariable operator theory, model theory, commutant lifting theorems, coisometric realizations;- Hankel operators and forms;- operator algebras;- the Bellman function approach in singular integrals and harmonic analysis, singular integral operators and integral representations;- approximation in holomorphic spaces.

卷包括：主要课程-定期微分算子和延迟方程谱分析，稳定控制器，傅立叶乘数；-多变量算子理论，模型论，换位解除定理，coisometric变现；- Hankel算子和形式；-算子代数；-在奇异积分和谐波分析，奇异积分算子和积分表示贝尔曼函数方法；-在全纯空间近似。

In using integral equation, The author brought forth some new idea about the dissection of magnet. The author also made a thorough investigation and study of the fast convergence numeric algorithm of complete and incomplete elliptic integral. In order to make full use of the computer resource, the author considered the symmetry of the magnet structure.

在应用积分方程法设计时，依据设计要求而对源区进行的剖分有独到之处，并对由剖分而引入的各类完全和不完全椭圆积分的快速收敛数值算法进行了深入探讨，还充分利用磁体结构对称性进行简化，以减少计算时间，使得当前的计算机资源能满足积分方程法之所需。

Finally, the application example is introduced the basic concept of integral n heavy weight and simply introduces n application in the life of the integral whole.

最后，介绍了n重积分的基本概念并且简单介绍了n重积分在生活中的应用实例。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。