问题求解

It can be followed adaptively to the change of network topology and transferred the complicated radial network into simple trunk network set. Dynamic topology logic equivalent decoupling and subarea is realized by the dynamic topology analysis under the normal network operation condition. It can reduce the fault disposal time availably. The problem of fault analysis disposal is simplified and the efficiency of problem solving is improved.

它能自适应跟踪网络拓扑结构变化，将复杂的辐射网的故障分析处理问题转化为简单的树干网集合的形式，拓扑逻辑等效解耦与分区是在网络正常运行状况下进行动态拓扑分析实现，可有效节省故障处理的时间，简化了故障分析处理问题，提高了问题的求解效率。

The radiation problem is transformed into a transmission problem of the corresponding waveguide structure to avoid the difficulty of the field source problem which is met in the traditional analysis.

在分析过程中，将天线的辐射问题转化为相应波导结构的传输问题，从而避免了求解场源问题的困难；并使计算过程得到了简化。

The stochastic programming becomes a common programming after the expectation is gotten. An algorithm is given to solve this kind of programming.

在求得模型中各随机变量的数学期望之后，将随机规划问题转化为通常的数学规划问题，并给出了求解这类问题的一个算法。

The Jacobi matrix rank one update problems, given either their mix-type eigenpairs or their pricinpal submatrix and defective eigenpairs(the eigenvalues of the matrix and some elements of the corresponding eigenvectors) are also discussed.

n阶对称箭形矩阵与n阶Jacobi矩阵一样只有2n-1个非零元素，类似Jacobi矩阵逆特征值问题的提法，本文提出并讨论了六类对称箭形矩阵逆特征值问题，研究了这类矩阵的结构性质，得到了问题有解的充分必要条件及求解的数值算法和数值算例。

Electromagnetic field theory,lumped-element circuit theoy and distributed circuit theory,based on maxwell′s equations,kirchhoff's laws,telegrapher's equation respectively,are the main methods to analyze electromagnetic problems.

0引言电磁场问题的"场"理论是基于Maxwell方程组的理论分析途径，这种分析方法归结为电磁场边值问题地求解，通常比较复杂而繁琐，原则上可以用来处理几乎所有得宏观电磁场问题。

A proper k total colouring of a graph G is a colouring to its vertices and edges using k colours such that no two adjacent or incident elements of G may be assigned the same colour.

利用梯度投影与罚函数相结合的技巧，将带不等式和等式约束的优化问题化成一个无约束问题，提出了初始点可任意的求解不等式、等式约束优化问题的摄动梯度投影算法；参数δk取不同的数还可以得到一类梯度投影算法，从而得出了在搜索方向和步长不精确条件下的梯度投影法，保证了在实际应用中更容易实现；在较弱条件下，证明了该算法的全局收敛性。

There is a kind of important problem that is solving linear systems in the computing problems of engineering, but sometimes they are unsolvable.

在工程计算问题中，有一类重要的问题就是线性方程组的求解问题，但有些线性方程组是不相容的。

The problem of seeking monitor-nodes for measuring the network traffic is regarded as the problem of finding out the minimum weak vertex cover of a graph which is NP-hard.

摘要网络流量监测点问题可以抽象为图的最小弱顶点覆盖问题，而求解最小弱顶点覆盖问题是一个NP难题。

Meanwhile the weighted mean optimum order method to solve the problems of multi-objective decision is obtained.

提出了状态不确定情况下的多目标决策问题的优序值矩阵，推广了多目标决策问题的优序法，并且重点研究了系统状态是一个模糊集时的模糊效益集和效益矩阵，得到了求解多目标决策问题的均值优序法。

Embedding the gradient direction search and new kinds of evaluation functions into the Genetic Algorithm, a special hybrid Genetic Algorithm with mutation along the weighted gradient direction to solve non-linear programming problems is developed. Then in Chapt 4, a type of nonlinear programming problems with fuzzy objective and fuzzy resources constraints is discussed, in which the objective is ill-defined and the resources possess two different types of fuzzy resources, i. e., tolerance and imprecision. By way of description and formulation of fuzzy objective and fuzzy resources, the problem with fuzzy objective and two different types of fuzzy resources is modelled into a fuzzy nonlinear programming model FO/RNLP and interpreted as three equivalent alternative crisp model to reflect the variety of the environment and the subjective and preference of the decision maker .

本文首先针对遗传算法在求解非线性规划问题中存在的问题，首次提出非可行点／染色体的主导准可行方向，准可行方向，及非可行点属于可行域的可行度等新概念，借助于模糊思想，提出了描述和度量非可行染色体的新方法；通过嵌入非可行染色体的信息于评价函数中，提出了三种新的评价非可行染色体的评价函数；把传统的启发式方法-梯度方向搜索和新的评价函数嵌入到遗传算法中，提出了一种沿加权梯度方向变异的新型混合式遗传算法；第四章针对生产实际中非清晰定义的模糊目标和两种类型的模糊资源，建立了一类连续型模糊目标／资源约束非线性规划问题的模型FO／RNLP。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。