查询词典 discrete problem

Optimization design is often used in the design of MRI superconducting main magnet, where all variables are treated as continuous ones. According to the fact that not all variables are continuous, here the design problem is seen as a global optimization problem with discrete variables.

软件简介：在进行MRI超导主磁体的设计时常采用优化设计的方法，将各设计参数看作连续变量处理，但实际上很多参数是离散变量，为了更符合工程实际，将超导MRI 主磁体的设计作为一个含有离散变量的全局优化问题。

Based on the analysis of the transportation network design problem, the discrete transportation network design problem was discussed.

交通网络规划的目的在于更好地满足现在或将来的交通需求状况，使交通出行流量合理的分布在交通网络上。

ECC is set up on the basis of solving this mathematics difficult problem of the Elliptic Curve Discrete Logarithm Problem.

椭圆曲线密码体制建立在解椭圆曲线离散对数问题这一数学难题的基础上。

This paper studies inverse design problem of generalized eigenvalue problem of linear parameter discrete vibration system.

本文研究了具有线性参数的离散振动系统广义特征值逆设计问题。

The security of the dynamic group signature is based on the fact that the gap Diffie Hellman problem and discrete logarithm problem are hard problems.

该方案的安全性是建立在间隙群上计算Diffie-Hellaman问题和离散对数问题均是困难问题的基础上。

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。

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。