函数

The concept of the midpoint quasi-convex function is introduced, and some conditions are obtained to ensure that midpoint quasi-convex function is quasi-convex in the measurable function space.

本文提出了中点拟凸函数的概念，在可测函数空间中，给出了中点拟凸函数拟凸的若干个充分条件。

The research on integral function and meromorphic function oriented to three branches and profoundly guided to different function fields from the end of 19~ to beginning of 20~ century.

魏尔斯特拉斯对整函数和亚纯函数的研究开启了三个方向的系统研究，对19世纪末至20世纪诸多函数论分支的发展产生深刻的启发与导向。

In chapter three, we study the uniqueness of meromorphic function and its derivative, and obtain the following result: There exists a set S with 6(4) elements such that any nonconstant meromorphic function f and its derivative f' satisfying E=E must be identical.

在第三章中，我们讨论了涉及导函数的唯一性问题，得到了下述结果：存在一个集合 S含有 6(4)元素，对于任意一个非常数亚纯函数f 及其导函数 f'，若 E=E，则f=f'。

In chapter two, under non-Lipschitz condition, the existence and uniqueness of the solution of the second kind of BSDE is researched, based on it, the stability of the solution is proved; In chapter three, under non-Lipschitz condition, the comparison theorem of the solution of the second kind of BSDE is proved and using the monotone iterative technique , the existence of minimal and maximal solution is constructively proved; in chapter four, on the base of above results, we get some results of the second kind of BSDE which partly decouple with SDE, which include that the solution of the BSDE is continuous in the initial value of SDE and the application to optimal control and dynamic programming. At the end of this section, the character of the corresponding utility function has been discussed, e.g monotonicity, concavity and risk aversion; in chapter 5, for the first land of BSDE ,using the monotone iterative technique , the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied.

首先，第二章在非Lipschitz条件下，研究了第二类方程的解的存在唯一性问题，在此基础上，又证明了解的稳定性；第三章在非Lipschitz条件下，证明了第二类BSDE解的比较定理，并在此基础上，利用单调迭代的方法，构造性证明了最大、最小解的存在性；第四章在以上的一些理论基础之上，得到了相应的与第二类倒向随机微分方程耦合的正倒向随机微分方程系统的一些结果，主要包括倒向随机微分方程的解关于正向随机微分方程的初值是具有连续性的，得到了最优控制和动态规划的一些结果，在这一章的最后还讨论了相应的效用函数的性质，如，效用函数的单调性、凹性以及风险规避性等；第五章，针对第一类倒向随机微分方程，运用单调迭代方法，证明了最大和最小解的存在性，并研究了解的其它性质及在效用函数上的应用。

In order to study vector-valued optimization problem, in chapter 5, a class of vector -valued function, that is, uniformly same-order set-valued function is introduced , which includes the separated functions as its proper subset; without hypothesis of convexity, new minimax theorem and saddle point theorem for uniformly same-order set-valued function are established. Next, by employing Ky Fan\'s lemma and H-KKM mapping , several existence results for generalized vector equilibrium problem established.

为了研究向量优化问题，作为可分函数的推广，第五章引入了一致同阶集值函数类，在没有凸性条件的假设下，对一致同阶集值函数建立了新的极小极大定理与鞍点存在定理；利用H-KKM映射，对一般向量均衡问题建立了(来源：A73BcbC论文网www.abclunwen.com)几个存在性定理；最后讨论了集值向量均衡问题系统，利用集值映射的拟凸性，在较弱的条件下证明了解的存在性。

In this paper, an algorithm based on heuristic function for minimum set covering problem is presented, as well as the definition of complete strategy concept and the method to structure heuristic function.

本文给出了求解NP困难问题的完备策略的概念，在此基础上提出了一个求解集合覆盖问题的启发函数算法SCHF（set－coveringheuristicfunction），文中对该算法的合理性、时间复杂性以及解的精度进行了分析，本文的主要创新点是用已知的完备策略建立启发函数，并用该启发函数进行空间搜索求出优化解。

Constructors have optional extra parameters for the initial minimum number of buckets, a hash function and an equality object.

构造函数有可选的额外参数，用于初始化最小的桶数量、散列函数和等同性函数对象。

Calculation program codes for Molecular Dynamic simulation of Hamilton motion equation resolutions in NPT ensemble have been made.

通过X射线衍射测试并计算了非晶样品的全干涉函数，全约化径向分布函数和全双体分布函数，该实验结果可为分子动力学模拟计算提供检验依据。

This paper presents the construction of the shape functions using the monomial basic function and describes the properties of the shape functions.

本文研究了点插值法中以单项式为基函数的形函数的建立及其性质，并通过矩阵三角化算法来克服形函数矩阵大奇异性。

It is also proved that the class of monotone increase functions is PAC solvable under a GA with reproduction and random mutation.

本文还证明了对于由复制和一个按顺序的变异构成的遗传算法，严格单增的函数是PAC可解的，单峰函数是非PAC可解的；对于由复制和随机变异构成的遗传算法，严格单增函数是PAC可解的。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。