映射

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。

The embodiment of the invention discloses a multi-address space mobile network architecture, wherein, EN is connected with CN via CER, DHT positioned in the CN is used to not only store or update the mapping relation of CER ID and the position information of the CER in the CN, and but also receive the registration information sent by a host via CER, store or update the mapping relation of a host identifier and a CER identifier as well as the host position information.

本发明实施例公开了一种多地址空间移动网络架构，其中EN通过CER与CN相连，CN中设置的DHT不仅用于存储或更新CER ID与CER在CN中的位置信息的映射关系；还用于接收主机通过CER发送的注册信息，存储或更新主机标识HI与CER标识CER ID以及主机位置信息的映射关系。

It is not easy to solve the problem of tensor product multilinear mapping if only matrix algebra knowledge is used. The introduction of structure matrix will make this problem much easier to be solved and more acceptable among people.

在解决张量积多重线性映射问题时，只用矩阵代数知识解决问题有些繁琐，而引入结构矩阵来解决张量积多重线性映射问题，不仅能使问题变得更加简单而且更加容易理解接受。

Simulation shows that the proposed algorithm can achieve similar performance to that of the ITS using natural binary bit mapping and has about 1dB gap with the ITS using Gray bit mapping. In the high SNR region, the complexity of the proposed bit-level ITS is about 6％~40％ of the symbol-level ITS.

仿真结果表明：在误码率性能上，该算法略次于使用自然二进制映射的基于符号的ITS算法，与使用格雷映射的基于符号的ITS算法只有1dB左右的差距；而该算法的计算量在高信噪比时只相当于基于符号的ITS算法的6％~40％。

On basis of the theory of metal plastic fluid and research of die cavity on non axis symmetry extrusion of special shaped products, in virtue of mathematical research results of the conformal mapping theory, by using method of normal convergence, numerical value analysis of mapping function was built.

针对非轴对称金属异型挤压塑性流动及模腔研究的理论课题，借助于近代共形映射数学理论研究成果，利用法线收敛法，建立了映射函数解析方法。

We discuss the completely tr-rank nonincreasing linear maps on finite vN algebras and prove that a unital self-adjoint and surjective linear map on finite vN algebras is completely tr-rank preserving if and only if it is a spatial 〓-automorphism that leaves the central elements fixed.

我们刻画了有限vN代数上完全迹秩不增的线性映射；也证明了有限vN代数上保单位元的自伴线性满射完全保迹秩当且仅当它是空间〓-自同构且限制到中心上是恒等映射。

based on the analysis of the traditional gnss carrier phase measurement model and the rule of the integer ambiguity estimation,the quality of normal integer mapping is gained,then,the theory of rough integer mapping is proposed,the question of gnss integer ambiguity estimation is solved,the searching efficiency of integer ambiguity is improved,the problem of gnss carrier phase measurement in a certain extent is solved.

摘 要：在分析传统的基于gnss载波相位测量模型对整周模糊度解算的一般规律后，得出一般归整映射的性质，进而提出粗糙归整映射理论，用来解决整周模糊度浮点解归整问题，提高了整周模糊度的搜索效率，一定程度上解决了载波相位实时测量的技术难题。

The problem of set partitions in combinatorial mathematics is conside-red, and the following three points are emphasized:(1) the non-recursivealgorithm for computing the number of partitions of an N-Set, P;(2)the algorithm for mapping the partition vector V to the partition sequencenumber D;(3) the algorithm for mapping the partition sequence number Dto the partition vector V.

本文对组合数学中的集合划分问题进行了一些探索，试图回答下面三个问题：①集合划分方法数P的非递归算法，②划分向量V映射到划分序号D的算法，③划分序号D映射到划分向量V的算法。本文以划分的构造树为基础，加以变换，得到数目树和分块树，由此求得P，以及K块划分方法数P_K。

In this paper,based on the skew tent map, a class of discretized finite state chaotic maps are proposed which allow an exact numerical study without round_off errors.

基于skew tent映射，提出了一类离散化的有限状态混沌映射，它允许精确的数值计算，没有舍入误差。

For 3D dressing rendering of fabric, the paper states the theory of 2D texture mapping onto 3D surface. And then, the mapping relations of fabric texture toward garment surface and shading/texturing model are studied, the graphic transformations and texture mip-mapping technology, which concern the 3D dressing display, are put forward too.

针对于织物三维着装效果的展示，论文介绍了纹理映射技术的原理，研究了织物纹理对服装曲面的纹理映射关系和纹理光照模型，并对涉及三维着装图形显示的图形变换和纹理细化技术进行了探讨。

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。