映射

The performance of this structure and the corresponding algorithm is studied.(6) The concept of hash function mapping uniformity ratio is proposed. With it, the mapping uniformity of modular based hash function is studied.

6就哈希映射的均衡性问题，提出了哈希映射均衡度的概念，并对基于取模运算的哈希映射均衡性进行了深入的研究。

Moreover,we consider the techniques in calculating the map\'s degree respectively in two cases that the functional responses function is monotone and differentiable or is nonmonotonic and undifferentiable.

本文深入到算子度的计算方法尤其是抽象算子同伦映射的构造，并为抽象算子同伦映射的构造提供了普遍适用的操作方法，即一步到位构造一个多项式函数作为抽象算子的同伦映射。

Hibernate's ORM can mapping one object to many tables,can mapping several types of associations and class inheritance.

它提供的ORM机制可以把一个对象映射到多个数据库表，可以实现多种实体关联关系的映射，可以实现继承映射；它提供的查询语言HQL实现了ORM的多态连接查询和动态查询。

For regular topology surface, intermediate surface local texture mapping are used; for irregular topology surface, subdivision surface local texture mapping are used. So different topology surface using different texture mapping methods can solve the contradiction between texture effect and processing speed when they are dealt with by single method. The three judge conditions of texture distortion in the process of mapping onto the sphere surface are discussed and the exiting algorithms of mapping are analyzed, the new algorithms of mapping onto the sphere surface are presented. In order to enhance the realistic of graphics, a new function of wood texture is presented. OpenGL is also introduced in this papers and some realization examples of texture mapping based on OpenGL under the environment of VC++ and POV-RAY are presented in some chapters.

对于简单拓扑表面，利用改进的两步纹理映射，对于复杂拓扑表面利用新的面片分割算法，初步解决了颜色纹理中速度与走样之间的矛盾；通过对球面纹理时纹理不变形的三个判断条件的研究，分析了现在各种球面纹理映射算法，并在此基础上提出了一种基于等面积的半球面纹理映射算法，明显减少了球面纹理的纹理变形；针对现有的木纹纹理中，两种表示木纹的颜色差距表现出的颜色突变问题进行研究，提出对这两种颜色进行线性插值或二次插值，使生成的木纹纹理颜色更加连续，更加逼真；在VC++环境下，通过调用Open GL的图形库及在Pov-Ray软件环境下，实现了参数化纹理、球面纹理、凹凸纹理及木纹纹理等各种算法。

In order todiscuss the structure of operator algebra, in recent years, many scholars have focusedon linear maps and various multiplieative maps on opcrator algebras, and studied thealgebraic and geomrtrial properties and the problem of classification of these mapsMany deep and intercepting results have been achieved, and many new ideals and meanswas introduced.

为了进一步探讨算子代数的结构，近年来国内外许多学者对算子代数上的线性映射和各种可乘映射进行了系统研究，探讨这些映射的代数和几何性质以及刻画分类问题，取得丰富成果并不断提出新的思路和方法。

XEX ~ Arg min{FIy E ~2} where the upper level is about topological structure optimization(a~ is a topological structure varable), and the lower level is a constrained programming about continuous variable y. 2 Apply graph, the action of permutation group on a graph, equiva- lent class, orbit etc.

取得的主要成果有： 1 依点到集的映射、集值映射、二元映射和分离定理等理论首次建立了具有拓扑结构双层规划的数学模型 min F s.t.x∈X y∈Arg min｛F|y∈Ω｝其上层规划为关于离散变量x的拓扑结构优化，下层规划是关于连续变量的约束规划。

Firstly,the wavelet-based contourlet coding using an SPIHT-like algorithm is utilized on the plain image,and as a result,the compressed datum stream could be achieved which is then mapped to a 3D bit matrix. Afterward,a chaotic sequence is generated by Lorenz chaotic map,and it is preprocessed to a bit sequence which is used to permute and substitute the elements of the 3D bit matrix achieved above. In the end,the processed 3D matrix is mapped back to datum stream,and the encrypted compressed image could be achieved if decoding and inverse transform are performed on the datum stream.

首先采用基于小波的Contourlet变换的类等级树集合分割编码算法对明文图像进行压缩，得到压缩数据流，然后将压缩数据流映射为一个三维位矩阵；利用Lorenz混沌映射产生混沌序列，并对其进行预处理得到比特值序列，根据比特值序列对上述三维位矩阵进行置乱和替代操作；将置乱和替代后的位矩阵重新映射为数据流，并对其进行解码和反变换操作，得到加密后的压缩图像。

The parameter space is included to construct a compound piecewise smooth map by composing previous discontinuity mappings with a Poincarémap for smooth periodic solution.

引入参数空间，将未发生碰撞的周期轨道对应的光滑映射与前面得到的不连续映射复合得到两类擦边分岔的分段映射形式。

The programs of nonlinear infinite and finite element which analyze material nonlinear problems of plane and spatial infinite domain.

模拟平面、空间材料非线性无限域问题的非线性映射无限元（包括非线性映射节理，映射夹层无限元）、有限元计算程序。

In order to make problems simple relative map germs which map proper subspace R~s of R~m to proper subspace R~t of R~n are considered in the paper.

本文将相对映射芽的基本理论与经典奇点理论相结合，把A等价的判断条件应用到相对映射芽环中，推广了原有结论，得出了在两个C~r相对映射芽κ等价条件下判断其A等价的方法。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷