查询词典 combinatorial problem

Abortion is a problem closely related to women, meanwhile, it is a social ethics problem and bioethics problem.

堕胎是一个与女性密切相关的问题，同时，它又是一个社会伦理问题和生命伦理问题。

The general form of solution for the non symmetric matrix A is given, the expression of optimal approximation solution is presented, and an algorithm for solving the problem is described. The total least squares problem with symmetric and bisymmetry constraints is discussed respectively. A sufficient condition for existence of solution is derived by use of the theory of matrix Ricaati equation. The general form of solution is given if the problem has a solution, and the expression of optimal approximation solution is presented. Some numerical examples are given.

对矩阵A是非对称情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，并给出了其解的表达式，描述了求解问题的算法；讨论了带对称和双对称约束的总体最小二乘问题，利用Ricaati矩阵方程的理论得到了解存在的一个充分条件，分别对对称矩阵和双对称矩阵两种情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，给出了其解的表达式，提出了求解这些问题的算法，并给出了数值例子。

But if you know its a differentiation problem, or a convex optimization problem, or a boolean logic problem, then you at least know where to start looking for the solution.

但如果你知道这是个变异的问题，或者是一个凸优化问题，或者一个布尔的逻辑问题，然后你起码能知道从哪着手开始寻找解决方案。

Problem, or a convex optimization problem, or a boolean logic problem, then you at least know where to start looking for the solution.

者是一个凸优化问题，或者一个布尔的逻辑问题，然后你起码能知道从哪着手开始寻找解决

The braid group is infinite non-commutative group, and it has many hard problems that can be utilized to design cryptographic primitives, such as the word problem, conjugacy problem and root problem.

辫群是一种非交换的无限群，该群中有许多困难问题是不可解的，如字问题、共轭问题和根问题等，利用这些困难问题可以去设计一些密码协议。

The topics are divided into three parts: the first part introduced the basic concepts of algorithms, mathematical algorithms and algorithms based on complexity analysis scheduling problem for the second part of the problem and plans to discuss a variety of existing algorithms, and describes the design of commonly used algorithms including sub-rule law, greedy method, dynamic programming, backtracking and branch and bound method, and describes the complexity of the calculation, as well as NP-complete problem the third part of the model on parallel computing and parallel algorithm design techniques.

全书分为3个部分：第一部分介绍算法的基本概念、算法的数学基础以及算法复杂度分析；第二部分针对排序问题和图的问题，讨论各种已有的算法，并介绍常用的算法设计方法包括分治法、贪心法、动态规划法、回溯法和分支限界法，并介绍了计算的复杂性以及NP完全问题；第三部分讲述并行计算模型和并行算法设计技术。

How to deal with the restrictions of deep excavation is a very difficult problem. This paper analyzes the restrictions of pile-support structure detailedly, uses a castigatory function to deal with the restrictions, and adds the castigation to the function. Now the problem has changed to solve a minimal problem, and GA can be used to the optimal design successfully.

束条件的处理是遗传算法应用到深基坑支护结构优化的难题和重点，本文详细分析了桩撑支护结构的约束条件，采用了罚函数法对约束条件进行处理并反映到适应度函数上，使其变为无约束的极小值问题，从而使遗传算法得以顺利实施。

One of graph edge coloring and graph total coloring problem, as well as whole graph chromatic number problem can be converted to graph vertex coloring to deal with problem.

其中图的边着色和图的全着色问题以及图的色数问题都可以转化为图的顶点着色问题进行处理。

We also show that the one-to-one defensive competition problem is a generalization of the Tukey median problem and the smallest enclosing circle problem which are two famous problems in computational geometry.

同时我们也讨论了竞争性区位设施之防御问题与其他计算几何领域内的著名题目例如，Tukey 中间值及最小圆盘集合之间的关系。

The structure theorem is obtained by defining "ternary ordered partition method" which is used to choose the test-sets of the first $k$ tests, and by defining two operations and two relations on feedback sequences; The isomorphism classification theorem is strictly proved by virtue of the structure theorem, thus the complicated problem of discussing $3^k$ possible search domains is reduced to the relatively easy problem on $k+1$ representative search domains; By the techniques of "super-coin construction method" and "image-union method", the search problem on $k+1$ representative search domains is reduced to the simple verification of several conditions on finite space of small cardinality.

通过引入用于选取前$k$次试验的试验集的"三元有序剖分法"以及关于反馈序列的两种运算和两种关系，得到了结构定理；基于结构定理严格地证明了同构类定理，从而将必须针对$3^k$个搜索域的复杂问题转变为讨论$k+1$个具代表性的搜索域的相对简单的问题；通过"构造超币法"和"并像法"等技术手段，将关于$k+1$个具代表性的搜索域的搜索问题转化为简单的关于势非常小的有限空间的几个条件的验证问题。

The statistical analysis of this large set of mutations has led us to propose a diagnostic strategy that should help with the molecular work-up of optic neuropathies.

这一大系列基因突变的统计学分析引导我们提出一个诊断策略，可以帮助我们对视神经病变进行分子学的诊断检查。

The results show that the pipe grouting changes the mechanical parameters of surrounding rocks to achieve the security of engineering objectives by reinforcing surrounding rocks and bolcking the water.

研究表明：小导管注浆一方面改变了围岩的力学参数，另一方面利用浆液的固结特性可以实现堵水和加固围岩的工程目标，使隧道在开挖过程中的安全得到保障。