查询词典 problem

The module conversion for a kind of Max-min problems is given, namely, the Max-min problem with equality and inequality constraint is converted into convex problem with linear constraint, which provides theoretical basis for designing effective algorithms.

最后，给出一类极大极小问题的模型转化，把带等式、不等式约束的极大极小问题转化为带线性约束的凸规划问题，这为设计更为有效的算法提供了理论依据。

Under the appropriate assumptions, the asymptotic solutions of the problem with different forms are obtained according to the multiple number of the root of some equation, which is satisfied by the boundary value of the reduced problem, by giving the general expressions for the coefficients of outer solution expansion and the corresponding boundary conditions.

在适当的假设下，通过给出外部解展开式系数及其对应边界条件的一般表达式，根据退化问题的边值作为某方程的根的重数，得到了此问题不同形式的渐近解。

We also study a new problem in secure multiparty computation, the secure multiparty equation solving problem. We give an efficient protocol to compute the root of equation in a distributed way.

我们还研究了安全多方计算协议的一个新应用领域，解决了安全多方方程求解问题。

And then the complex area coverage problem is transformed into simple equilateral triangle coverage problem.

从而将复杂的区域覆盖问题转化为简单的正三角形区域覆盖问题。

To solve QoS-constrained routing problem and the problem of balancing network load, an algorithm based on tabu search is proposed, which has a better ability of balancing the cost of the multicast tree and the network load; upon this algorithm, a new algorithm based on degree-constrained and load-balance is proposed, which has a nicer integrative performance on equipoise the cost of multicast tree and the load of links and nodes.

2针对网络负载均衡的QoS问题，提出基于禁忌搜索的负载均衡QoS组播路由算法，算法能平衡组播树代价和网络链路负载均衡状况；在此基础上提出了基于度约束和负载均衡的QoS组播路由算法，算法在满足QoS约束的基础上，均衡了组播树代价、网络链路负载和节点负载三者之间的关系，综合性能良好。

The complementary variational principles are extened to two-medium region problems. The equivalence between variational problem and boundary value problem is proved.

将互补变分原理推广到包含两个区域的问题中，从数学上证明了变分问题与边值问题的等价性。

The main problems researched in the dissertation and achievements are as follows: The dissertation explains the science background and the theoretical and actual meaning of the task. The progress and the problems of the flow imaging technique are briefly explained. The advantages of electrical capacitance tomography are discussed. The paper discusses the formation and operating principle of ECT, and builds up the definite mathematical model by detail theoretical analyse, and establishes the Finite Element Model of the system by changing the finite boundary value problem of ECT into equivalence variation problem according to variation principle. On the basis of the FEM of the system, the paper builds the finite element model of the capacitance sensitivity field distribution and programs its finite element simulation software and proves the validity of the FEM of the ECT from different aspects. With the FEM and the qualitative analyse of the effect of each structural parameter of the capacitance transducer on its capability, this paper optimizes the structural parameters of the capacitance transducer, and obviously improves its capability. The compare of the simulated result with the static experimental result shows that the error of them is less than 0.9%.

其主要研究内容包括：阐述课题研究的学术背景及其理论与实际意义，概括总结出流动层析成像技术的发展现状和存在的问题，指出电容层析成像技术的优点；讨论电容层析成像系统的组成及工作原理，进行详尽的理论分析，以变分原理为基础，将ECT的有限元边值问题转换为等价的变分问题，从而建立系统的有限元模型；在系统有限元模型的基础上，建立敏感场的数学模型，编制有限元的仿真软件，并从不同角度证明电容层析成像系统有限元模型的正确性；利用有限元模型，定性地分析电容传感器各结构参数对其性能的影响，并对传感器结构参数进行优化设计，使其性能得到明显的改善。8电极ECT系统的仿真和静态实验结果的比较表明，它们之间的相对误差小于0。

Secondly,the deterministic equivalence problem of theprobabilistic inequality is discussed,and the expression formula of thedeterministic equivalences for several commonly used probabilitydistributions,such as normal,exponent,uniform,β and Γ distributions etc.,are given for the linear function with respect to random variables,which solvesthe problem of the deterministic equivalence for the linear-function-class.

其次，本章讨论了概率不等式的确定性等价问题，就随机变量的线性函数类，给出了与几种常用的概率分布，如正态分布、指数分布、均匀分布、β分布、Γ分布等等，相关的确定性等价问题。

Based on this model, we studies the simultaneous existence of the agent"s optimal capital stock and income, the government"s optimal tax and public expenditure (We call the combination as an equilibrium mechanism), This essay draws the equivalent proposition of equilibrium mechanism existing and converts the former problem into another problem of selecting public sector mechanism that only includes the government behavior. So the existence of such as the optimal tax has been showed.

本文先建立了均衡机制存在性的一个等价命题，然后将均衡机制存d＼硕士学位论文＼N＝－wy MUnR'STImIS在性问题转化为只有政府行为的公共部门机制选择问题，从而得到最优税收等的存在性。

Finally, before the eradication of simple questions, and then step-by-step problem-solving the problem.

最后，先消灭简单的试题，然后再一步一步地解决疑难的问题。

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。