查询词典 work on a problem

It consists of the next three aspects: firstly, we study Murthys' open problem whether the augmented matrix is a Q0-matrix for an arbitary square matrix A , provide an affirmable answer to this problem , obtain the augmented matrix of a sufficient matrix is a sufficient matrix and prove the Graves algorithm can be used to solve linear complementarity problem with bisymmetry Po-matrices; Secondly, we study Murthys' conjecture about positive semidefinite matrices and provide some sufficient conditions such that a matrix is a positive semidefinite matrix, we also study Pang's conjecture , obtain two conditions when R0-matrices and Q-matrices are equivelent and some properties about E0 ∩ Q-matrices; Lastly, we give a counterexample to prove Danao's conjecture that if A is a Po-matrix, A ∈ E' A ∈ P1* is false, point out some mistakes of Murthys in [20] , obtain when n = 2 or 3, A ∈ E' A ∈ P1*, i.e.

本文分为三个部分，主要研究了线性互补问题的几个相关的公开问题以及猜想：(1)研究了Murthy等在[2]中提出的公开问题，即对任意的矩阵A，其扩充矩阵是否为Q_0-矩阵，给出了肯定的回答，得到充分矩阵的扩充矩阵是充分矩阵，并讨论了Graves算法，证明了若A是双对称的P_0-矩阵时，LCP可由Graves算法给出；(2)研究了Murthy等在[6]中提出关于半正定矩阵的猜想，给出了半正定矩阵的一些充分条件，并研究了Pang~-猜想，得到了只R_0-矩阵与Q-矩阵的二个等价条件，以及E_0∩Q-矩阵的一些性质；(3)研究了Danao在[25]中提出的Danao猜想，即，若A为P_0-矩阵，则，我们给出了反例证明了此猜想当n≥4时不成立，指出了Murthy等在[20]中的一些错误，得到n=2，3时，即[25]中定理3.2中A∈P_0的条件可以去掉。

However, there are visible directions in research of this problem, which is either external analysis academically, thinking consumerism as neutral problem, such as sociology, or extensive praise, thinking consumerism as boundless beneficence to promoting economical increase, such as economics, or new exploration on advancing technical problem of consumption, so as to help the sustaining increase of consumerism, such as marketing, or as agent provocateur of consumerism, so as to research psychology of consumers, and to find out psychological weakness in human nature, such as consumption psychology.

但各个学科对这个问题的研究也明显存在着方向性的问题：它们或者从纯学术的意义上对消费问题进行客观的分析，对消费主义的盛行采取中性的态度；或者对消费主义的兴起兴高采烈，把消费主义看作是促进经济增长的有功之臣；或：耆对促进消费的技术性问题进行新的探索，以便助消费主义持续增长的一臂之力；或者充当消费主义的密探，对消费者的心理进行偷窥，为消费主义寻找人性的心理弱点，以便进行攻击。

If fractional equation into Interdisciplinary equations into algebraic geometry problem, the problem will be transformed into quadrilateral triangle problem.

如将分式方程化为整式方程，将代数问题化为几何问题，将四边形问题转化为三角形问题等。

In addition, we also prove that solutions for the Stokes problem, Dirichlet problem and Neumann problem are all particular cases of the satellite altimetry.

同时证明了常用的Stokes问题、Dirichlet问题、Neumann问题可以看成卫星测高问题的特殊情况。

Since the problem of GVT with two primes restricted in arithmetic progressionsof the same moduli k is actually the same as the previous problem(2),we consideredthe problem of GVT with exactly one prime in an arithmetic progression.

两个素数取值于相同模的算术级数中的GVT问题实际上和前面的的问题（2）是一样的，于是只需考虑一个素变数在算术级数中取值的奇数Goldbach问题。

In this period, the rural land problem contains land assignment problem and land use problem.

该时期，农村土地问题讨论的重心主要集中于"土地分配"和"土地利用"问题。

The problem is divided into two sub-problems: task assignment problem and task merging problem.

提出了将原问题分解为任务分配与任务合成的分解优化思路。

It is related to the variational inequality problem, bilinear programming, nonlinear equation. So there is actual meaning and theories value to study how to solve it.In recent years, many algorithms for solving the generalized linear complementarity problem are put forward. But they basically belong to the traditional iterative methods, and may not be efficient since the computing time required for a solution is greatly dependent on the dimension, structure of the problem and the complexity of the algorithm used. Different from the traditional algorithms, the neural network has many advantages on calculations and real-time applications for its inherent massive parallelism and electric circuit implementation.

近年来，人们对广义线性互补问题提出了许多算法，但这些方法基本上属于传统的迭代法，由于它们的计算时间极大地依赖于问题的规模、维数以及所使用的算法，因此很难满足实时并行的要求，与传统数值方法不同，由于内在的并行分布处理信息的特点及电路实现的潜能，神经网络有着许多计算上的优势和实时性的应用，自Hopfield提出著名的人工神经网络模型-Hopfield神经网络，并将其成功应用于优化问题后，用神经网络求解优化问题得到了相当深入的研究，并取得了许多重要的成果。

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。

Analog output can display output results.

可以模拟输出显示输出效果。

It implied that RAPD technique pro vided a new alternative for checking irradiation induced effects.

对扩增产物进行数据分析，结果表明RAPD技术能够检测出辐射后唐菖蒲基因组变异情况，可用于对唐菖蒲辐射后基因变异的分析。