问题的

For strictly convex problems, it is proved that the decomposed two-level problem is equivalent to the original one.

对于严格凸问题，证明了分解问题与原问题的等价性。

In this paper, a least-square collocation formulation for solving Helmholtz equation with Dirichlet and Neumann boundary conditions was established.

对于Helmholtz方程问题，其微分方程和边界条件可表示为法应用于Helmholtz方程问题的研究，建立了 Helmholtz方程问题的最小二乘配点格式，分别研究了Hdmholtz方程的波传播问题和边界层问题。

Furthermore, the Matrix Dominating Set problem and some research directions on dominating problem were also introduced.

文中对VDS和EDS问题进行了分类，给出了每类问题的具体定义及其相关算法介绍，此外还对矩阵支配集问题进行了简单介绍，并提出了支配问题研究中值得关注的几个方面。

In the second chapter, this problem is converted into a dual problem, i.e.

第二章把原规划转化为一个对偶问题，即无约束极大化问题，推广和证明了这个对偶问题的一些性质和基本定理。

For some cases of single machine scheduling, parallel machine scheduling and flow shop scheduling, the polynomial algorithms are given, respectively.

对单机问题、平行机问题和流水作业问题的某些情况给出了多项式算法。

In the second part, we studied blind source separation in ill conditioned cases, obtained the sufficient and necessary conditions on solvability, and presented the neural network model and corresponding adaptive algorithm. We also discussed the blind digital source separation, established the blind separation and extration models and algorithms. These algorithms can be used to deal with high noise and ill-conditioned cases.

在第二部分，我们研究了奇异混合情形下信号盲分离问题，给出了神经网络模型及相应的自适应算法；我们也研究了数字信号盲分离问题，得到了有关可解性的充要条件，提出了分别处理低噪声问题和高噪声问题的算法，这些算法对感知信号个数少于源信号个数等病态问题也适用。

The air transportation problem is formulated as an Integer Programming problem.

建立了航空运输调度问题的整数规划模型，并证明了该问题等同于一个运输问题。

Via connecting the maximal module ideal point algorithm with the power coefficient under Kuhn-Tucker condition, the bilevel multiobjective programming problem is changed to a singular-level singular-objective constraint programming problem.

给出双层多目标决策问题数学模型的一种解决方法，把带权极大模理想点法和Kuhn-Tucker条件结合起来，从而把双层多目标规划问题转化为单层单目标约束规划问题，进而求得原问题的弱有效解。

The displacement of each strip is interpolated in nodal line displacements.Then the problem is east into ODLS problem by variational principle,and solved byNDTFM.

将位移离散模型代入问题的变分关系中，通过积分、变分等过程将问题转化为一个一维问题，这样就可以应用数值传递函数求解。

The contents of this course include: the mathematical basis of FEM, the generic solution principles and expressions of elastic mechanics issue, the construction of element and its interpolation function, iso-parametric element and numerical integral, solution of linear equations, some practical issues of FEM modeling, brief introduction to typical commercial FEM packages, FEM for truss, plate blending and shell, and FEM for heat exchange and dynamics.

课程内容主要包括：有限单元法的数学基础、弹性力学问题有限单元法的一般原理和表达格式、单元和插值函数的构造、等参单元和数值积分、线性方程组解法、有限元建模的若干实际问题、典型商用有限元分析软件简介、杆件结构力学问题的有限单元法、平板弯曲问题的有限单元法、一般壳体问题的有限单元法、热传导问题的有限单元法、动力学问题的有限单元法等。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。