查询词典 combinatorial optimization problem

Inverse eigenvalue problem; Constrained matrix equation problem; Procrustes problem; Matrix norm; Optimal approximation solution

矩阵逆特征值问题；约束矩阵方程问题； Procrustes问题；矩阵范数；最佳逼近解

Based on the fundamental principles of the improved method mentioned above, multi-functional computation software package, which can be used to analyze effectively the interference effects of random flaws in plane problem, boundary problem and space problem, is compiled and a number of problems involved in the interference effects of different kinds of flaws such as random equal length through-cracks, random branched throughcracks, random unequal length through-cracks, random holes to through-cracks, unequal length edge cracks, equal length and distance multiple edge cracks, random notches with different aspect ratio, random notch to edge crack, non-coplanar surface cracks with different aspect ratio, staggered surface cracks, surface crack to embedded crack and embedded cracks near free boundary are analyzed and computed by the package.

依据上述改进法的基本原理，本文编制了能有效地分析平面问题，边界问题及空间问题的任意缺陷群相互干涉效应的多功能计算软件包。据此，本文分析计算了各类缺陷群。诸如，任意等长裂纹群。任意折裂纹群；任意不等长裂纹群，任意孔与裂纹群，不等长边裂纹群。等长等间距多裂纹群，任意形状比缺口群，任意缺口与边裂纹，非共面不同形状比表面裂纹群，交错型表面裂纹群，表面裂纹与埋藏裂纹群及自由边界附近埋藏裂纹群等的相互干涉效应问题。

How to provide route to meet the driver's multiple psychological expectations is the key problem of navigation system. The essence of this problem is resource constrained shortest path problem, which belongs to NP-C problems and can not be solved with the traditional shortest path algorithm.

提供满足驾驶员多个心理期望的路径是导航系统该解决的关键问题，其本质是资源约束最短路径问题，属于NP难问题，无法使用传统的最短路径算法解决。

The circulation problem and the generalized circulation problem cover the whole field of the flow analysis about the generalized network flow problem.

环流问题和一般环流问题构成了一般网络流量分析问题。

The single source and single sink network and the multiple sources and multiple sinks network are considered,respectively.We first construct an auxiliary network and convert the min-cost flow problem in origial network into the min-cost circulation problem in the auxilary network,and then find the optimal solution of min-cost circulation problem in the auxiliary network by using out-of-kiltem algorithm.

分别就单源单汇和多源多汇情况构造不同的辅助网络，将原网络中的最小费用流问题转化为辅助网络中的最小费用循环流问题，然后用瑕疵算法求最小费用循环流问题的最优解，这样在求出原网络中最小费用流的同时，也获得了总流量的最优取值。

Von Neumann proposed that a problem be broken into discrete logical steps, much like the steps in a long division problem, and that intermediate values in the task be stored temporarily in the computer in such a way that those values could be considered input for the next portion of the problem.

冯诺依曼建议，将问题分解为分立的合乎逻辑的阶段，很像一个长期分离的问题，把工作中的中间值临时储存在计算机中，这样一来，那些数值可以被看成是为下一部分问题输入的数据。

This is no longer a Niger Delta problem, nor a Nigerian problem but a global problem.

这已经不再是尼日尔三角洲的问题，也不是尼日利亚的问题了，而是全球性问题。

The analytic focus includes five aspects of this international strategy: the guiding principles for resolving the China Problem; policies towards other nations; attitudes toward the Nine-Power Treaty and the existing international order; evaluations of the international situation; responses to the relationship between the "China Problem" and the "World Problem".

分析的重点包括这个国际战略所包含的五个方面：对中国问题的解决方针；对第三国的政策；对九国公约与既有世界秩序的态度；对国际形势的判断；对"中国问题"与"世界问题"相互关系的应对。

Among many directions of the fixed point researches, it becomes main problem that the convergence problem about making approximating fixed point sequences and its application in control, nonlinear operator and derivative equation etc. The research of this problem will play an important role in its application in reality.

在不动点问题研究的众多方向中，关于构造渐近不动点序列的迭代收敛问题以及其在控制、非线性算子和微分方程等方面的理论结合及应用成为研究的主流问题，对这方面问题的研究会在实际运用中起到至关重要的作用。

Exive least-squares solutions, antire?exive least-squares solutions, bisymmetric least-squaressolutions, symmetric and antipersymmetric least-squares solutions, symmetric or-thogonal symmetric least-squares solutions, symmetric orthogonal antisymmetricleast-squares solutions and their optimal approximation to the linear matrix equa-tion AX = B, and solve them successfully. 2. For Problem II, we can convert it to another problem of finding the least-squares solutions with the least norm of a new consistent matrix equation. Onthe base of the solutions of Problem I we can apply the iterative method to get

本文所构造的迭代法的优点在于先利用法方程变换将求矩阵方程的最小二乘解转化为求一个相容矩阵方程的解的问题，再利用迭代法对于任意给定的初始矩阵进行迭代，均可在有限步内迭代出所求问题的一个解；可将问题II转化为求新方程的极小范数解的问题，同样用迭代法求解，从而系统且全面地解决了问题I、II在约束矩阵类如中心对称、中心反对称、自反矩阵、反自反矩阵、双对称、对称次反对称、对称正交对称、对称正交反对称矩阵中的最小二乘解及其最佳逼近问题。

The studies on the developing of new media are very important to the increasing of the area density of HDD and to the implementation of hybrid recoding technology.

光磁混合记录方法，是一种可以突破超顺磁极限的限制，并进一步提高硬盘记录密度和读写速率的一种新型超高密度信息存储方式。

In io, mTOR inhibition promotes T cell anergy under conditions that would normally induce priming.

体内研究中，在正常可激发免疫反应的条件下，抑制mTOR可促使T细胞无能。