对偶的

To solve the problem, the method that all the elements of the image of dual absolute quadric are transformed into the same magnitude is proposed.

提出了一种变换法，使对偶绝对二次曲面像的各个元素变到同一个数量级上，可以使求解过程更具有鲁棒性。

The AFT of even functions is improved in this paper.

本文对偶函数的AFT进行了改进。

The main idea is to design two CNNs with two antithetic CA rules.By this way,Image restoration can be implemented,getting obviously better results than the traditional ones.

核心思想是用两个对偶CA规则设计两个CNN网络，联合实现图像滤波处理，能够获得比传统算法好得多的处理速度和效果。

The argument principle of the method of proof by contradiction is base on equivalent relation of dual propositions.

反证法是利用对偶命题等价的原理进行论证。

Introduced a graphical method ﹑ simplex method ﹑ artificial variable ﹑ dual simplex method and the solution of several basic advantages and disadvantages. Some of the basic methods of improvement.

介绍了图解法﹑单纯形法﹑人工变量法﹑对偶单纯形法几种基本解法及其优、缺点，以及对几种基本方法的改进。

And we also study the attainability of this LQ problem via a semi-definite programming and its dual problem.

另外，我们还利用一类半定规划及其对偶问题来研究这类控制问题的最优控制。

The bilinear programming is converted into a max-min problem on the principle of duality, and a linear approximation algorithm for the max-min problem is presented, which proves to be convergent in finite steps.

利用对偶原理，将双线性规划问题转化为极大极小问题，研究了该极大极小问题的线性逼近算法，并证明了该算法在有限步内收敛。

The bilinear programming is converted into a max min problem on the principle of dual ity, and a linear approximation algorithm for the max min problem is presented, which proves to be convergent in finite steps.

利用对偶原理，将双线性规划问题转化为极大极小问题，研究了该极大极小问题的线性逼近算法，并证明了该算法在有限步内收敛。

Let X be a real Banach space with strictly convex dual space X(superscript *) and G a bounded, open subset of X. T: DX→2 is a m-accretive operator, C: D→X is bounded operator.

设X是一个实Banach空间，X为其对偶空间，G是X的开、有界子集。T：DX→2是m-增生算子，C：D→X是有界算子。

Chapter 1 gives the background,current research process of relatedproblems and summarizes this thesis\'s work.In chapter 2,we study the Brownian motion with holding and jumping on the boundary.We use the resolvent method to obtain the infinitesimal generator because the domain of the infinitesimal generator is essentially the same as the range of the resolvent.Knowledge of this range and of the differential operator determines uniquely the infinitesimal generator.Since the semigroup generated by the DHJ is not strongly continuous,to use the nice property of strongly continuous semigroup in analytic theory,in chapter 3 we show that the dual is strongly continuous and derive ergodicity through spectral radius formulas and finally obtain the ergodic theorem by duality. In chapter 4,we discuss a class of a more general process---one dimensional Feller diffusion proposed by W.Feller in 1954.The Feller diffusion allows the possibility of jumps from boundary to boundary,not only from boundary to the interior.We give the stationary distribution of this process.

具体地，本文的结构如下：第一章给出了问题产生的背景，研究现状及本文的主要工作；第二章研究了在边界上逗留后随机跳的布朗运动，我(来源：3dABC论文网www.abclunwen.com)们用预解算子的方法得到其无穷小生成元，因为无穷小生成元的定义域本质上就是预解算子的值域，知道这个值域和微分算子形式就能唯一地决定无穷小生成元；由于DHJ过程产生的半群不是强连续的，为利用强连续半群的一些漂亮性质，在第三章中我们证明其对偶半群是强连续的，然后由谱半径公式得到遍历性并且最后由对偶得到遍历定理；第四章讨论了Feller在1954年引入的更广的一类过程----一维Feller扩散过程，Feller扩散过程允许有从边界到边界的跳发生，即不仅仅局限于从边界到内部的跳，在这一章中，我们给出了一维Feller扩散过程的平稳分布；在第五章，我们讨论了一些相关的问题，给出了DHJ过程对应的PDE问题及特征值与收敛速度的关系。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。