查询词典 discrete optimization problem

To price the continuously sampled arithmetic average Asian option, an implicit upwind difference scheme is constructed based on the final boundary value problem of partial differential equation, which is satifiable to the option pricing problem. Then the unique existence and unconditional stability of the difference solution are demonstrated and the error estimate is given under the discrete L2 norm.

研究连续取样的算术平均亚式期权定价问题的差分方法，根据问题所满足的偏微分方程终边值问题，构造出一种隐式的迎风差分格式，论证了差分解的惟一存在性和绝对稳定性，并给出差分解在离散L2范数下的误差估计。

Then a filled function method for the integer programming problem is proposed,which tries to find a better discrete local minimal solution of the problem by minimizing a filled function.

该方法通过寻找填充函数的离散局部极小解以期找到整数规划问题的比当前离散局部极小解好的解。该文的算法是直接法，数值试验表明算法是有效的。

Firstly, the eigenvalue problem of a class of second order elliptic equation with critical potential and indefinite weights is considered. Then, using critical point theory, Trudinger-Moser inequality and the properties of the first eigenvalue, we prove the existence of a nontrivial solution for a class of nonlinear elliptic with critical potentialand indefinite weights in R~2. Secondly, we prove the existence of nontrivial solutions for a class of subcritical and critical elliptic systems with indefinite part in R~2 byusing a generalized linking theorem, Trudinger-Moser inequality and concentration-compactness principle.5. The existence of at least three weak solutions for discrete boundary value problem is established by using a three critical point theorem introduced by Ricceri.

首先，讨论了R~2中一类带不定权且含临界位势的二阶椭圆型方程的特征值问题，并借此特征值问题的第一特征值性质，利用山路引理及Trudinger-Moser不等式，证明了R~2中一类带不定权且含临界位势的非线性椭圆型方程非平凡解的存在性；其次，利用广义环绕定理，Trudinger-Moser不等式及集中列紧原理，得到了R~2上一类具有强不定部分的半线性椭圆型方程组在非线性项分别为次临界增长和临界增长情形下非平凡解的存在性。

The quadratic optimal control problem of delay discrete-time linear system is proposed with quadratic performance index. It is transformed intoanother problem by using the Principle of Optimality. The direct expressions of theoptimal control sequence and performance index sequence are given by mathematicalinduction.

针对给定的二次型性能指标，提出了时滞离散系统线性二次最优控制问题，并利用最优性原理将该问题进行了转化，进而利用数学归纳法推出最优有记忆饱和控制序列及最优性能指标序列的直观表达式。

In order to improve the security, a signature scheme based on two hard problem assumptions is proposed. The security of the scheme is based on the difficulties of simultaneously solving the elliptic curve and quadratic residue. A attacker can't forge the signature of messages even if a attacker can solve theelliptic curve discrete logarithm problems or quadratic residue problem in the scheme.

为了提高签名的安全性，本文对Wang等人提出的签名方案进行改进，提出了一个基于椭圆曲线离散对数问题和二次剩余问题的数字签名方案，并对该方案的安全性进行分析，指出在椭圆曲线离散对数问题或二次剩余问题可解的情况下，攻击者也无法伪造消息的签名。

First, the discrete method of separation of variables is applied to the numerical solution of a model problem-the interface problem.

本文首先以一个模型问题——带内界面的二阶椭圆型方程为例，提出了一种求解带奇性的椭圆型方程的离散分离变量方法，并把这种方法用于复合弹性材料问题的求解。

By introducing a slack variable, the stabilization problem of discrete T-S fuzzy systems is converted into an LMI feasibility problem, and an LMI based design method for output feedback H(subscript ∞) controller is presented.

通过引入松弛变量，将离散T-S模糊系统的输出反馈镇定问题归结为求解一组线性矩阵不等式，进而给出基于LMI的输出反馈H控制器的设计方法。

In order to implement nonlinear predictive control for the controlled plant, a T-S fuzzy predictive model is built on-line by using fuzzy clustering and linear identification, and discrete optimization of the control action is carried out according to the principle of Branch and Bound method.

算法由两部分组成：第一部分采用模糊聚类和线性辨识方法在线建立系统的T-S模糊预测模型；第二部分基于分支定界法的基本原理对控制量进行离散寻优，从而实现对象的非线性预测控制。

Firstly establishing mechanical model of casing structure , and then processing casing forces analysis using space finite-element method and superposition method(put structure stress and outer force stress together), it computes the stress of casing in three dimensions, and gets the internal force and transmutation. The structure of casing-coadjutor is computed overlaply and the question of contact is solved. In the aspect of design, it provides the mixed integer-discrete variable optimization method of casing cross section size and coadjutor layout.

本文就上述两个问题的最优化设计展开研究，首先建立了套管结构的力学模型，进行套管的受力分析，用了空间有限元法和叠加法(结构应力和外载应力相叠加)，对套管进行三维计算，确定结构的内力和变形，对套管—扶正器结构进行整体的叠代计算，解决接触问题；在设计方面，提出了解决套管截面尺寸参数和扶正器布局的混合整数—离散变量优化方法。

Other semirings arise naturally in such diverse areas of mathematics as combinatorics, functional analysis, topology, graph theory, Euclidean geometry, probability theory, commutative and noncommutative ring theory, optimization theory, discrete event dynamical systems, automata theory, formal language theory and the mathematical modeling of quantum physics and parallel computation systems.

在许多不同的数学领域存在着其它形式的半环，比如组合学，泛函分析，拓扑学，图论，欧式几何，概率论，交换和非交换环，优化论，离散动力系统，自动化理论，形式语言理论，量子物理的数据模型和并行计算系统。

Continuously improve the production mechanism, to provide customers with better quality products and services.

不断的完善生产机制，给客户提供更优质的产品及服务。

B:Yes, he was the very prize-winner in the court tennis ten years ago?

是的，他是十年前的世界网球冠军。