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Using the theories of probability, algebra and spectral theory comprehensively, we investigate some related characteristics of logic functions in cryptography: Firstly, we introduce m order generalized s - correlation immunity of Boolean vector functions and prove that the higher order generalized ε- correlation immunity can guarantee the lower order generalized ε- correlation immunity. Then by applying decomposition formula of joint distribution of Boolean random vectors, we give a spectrum criterion of m order generalized e - correlation immunity of Boolean vector functions. Furthermore, we show that the algebraic degree of m order generalized e - correlation immune Boolean vector functions is not restricted by the correlation immune orders.

本文主要运用概率论的思想和方法，并结合代数学和频谱理论的相关知识，对密码学中逻辑函数的有关性质进行了研究，主要包括以下三个方面的内容：首先，对布尔向量函数的相关免疫性进行了拓展，给出了k维布尔向量函数m阶广义ε-相关免疫的概念，证明了布尔向量函数的高阶广义ε-相关免疫性蕴含低阶广义ε-相关免疫性，并根据布尔随机向量联合分布分解式得到了布尔向量函数m阶广义ε-相关免疫的一个谱判别条件，还说明了m阶广义ε-相关免疫布尔向量函数的代数次数不受相关免疫阶数的制约。

Research emphasis is put on thefollowing aspects:First,study of multiwavelet basis(e.g.periodic vector,interpolation vector,multi-dimensional vector)suitable for different practical demands.Second,from perspective of operatorapproximation order,study of normal function approximation operator,contrast and comparison ofwavelet operator and multiwavelet operator and their respective applicable fields.And further,onbasis of the above,exploration of approaches of multiwavelet analysis application in function spacetheoretical research,and higher-lever,more convenient approaches for multi-function spaceapproximation theoretical research.Third,by fully employing unique features of multiwavelet,research action of multiwavelet analysis in the construction of L〓space non-conditionalbasis.Fourth,research such as transient signal analysis,image edge extraction,datacompression,fractal signal analysis.

其一，研究适宜于不同实际问题需要的向量小波基（如周期向量小波、插值向量小波、高维向量小波等）；其二，从算子逼近阶的角度研究一般函数逼近算子、小波算子和向量小波算子的异同点以及较优适用领域；在此基础上，探索将向量小波分析应用于函数空间理论研究的途径，寻找更高层次、更便捷地研究多元函数空间逼近理论的方法；其三，充分利用向量小波所独具的完美性质，探索在〓空间〓无条件基的构造中，向量小波分析的价值；其四，对向量小波适用的信号瞬态分析、图像边缘分析、数据压缩保真、分形信号分析等领域应给予特别的重视。

During the process of model smoothing, there is an uncertain weight threshold, which is discussed in detail for scientific evaluating.2. In the part of "3D Model Segmentation", the vector of Gauss-Mean curvature, that of Max-Min curvature, that of RMS-Absolute curvature are compared through their performances in segmentation.

在三维模型分割方面，对高斯-均值曲率向量、最大-最小曲率向量、RMS-绝对曲率向量等三种特征向量在分割中的性能，以及指定聚类数目对分割结果的影响通过试验进行了比较。

The image information storing means provides a vector data storing means which stores vector data of an original drawing, and a vector data projecting means which projects the vector data to four kinds of coordinate systems.

图象信息存储器提供存储原始绘图向量数据的向量数据存储器，和将向量数据投影到四种坐标系中的向量数据投影器。

It is also the base of structure optimization.According to main object characteristics of structural dynamics design,structuraleigenveetor sensitivity computation is,first,be studied.A Neumann series expansionmethod is proposed in accordance with the modal method and is developed to agreewith the structure with rigid body modes.A rapid Neumann series expansion methodfor eigenvector sensitivity is formed;it may greatly improve the efficiency ofcomputing eigenvector derivation.

本文根据结构动力学设计的主要目标特性，首先进行了结构特征向量灵敏度分析研究：形成了计算特征向量灵敏度的Neumann级数展开法，并将其扩展到适用于具有刚体模态的结构特征向量灵敏度分析；研究出计算特征向量灵敏度的快速Neumann级数展开法，该方法大大提高了特征向量灵敏度分析的效率；建立了无需K-1运算的结构特征向量灵敏度分析的共轭梯度迭代法。

Programming to derive fuzzy optimal solutions and fuzzy optimal classification function seta fuzzy set which value is fuzzy optimal classification function and member degree is λ(0≤λ≤ 1,therefore the linear fuzzy support vector machine is constructe...

对于非线性模糊分类问题，引入核函数，类似于线性模糊分类问题得到非线性模糊支持向量分类机。最后构造显示模糊支持向量分类机特点的模糊支持向量集取值为模糊训练点，隶属度为λ(0≤λ≤1的模糊集合。模糊支持向量分类机较好地解决了支持向量机中含有模糊信息的分类问题。

For this reason, the author of the article puts forword a new concept projective vector and coefficient "image" of projective vector. Coefficient of projective vector is put forword by the author for the frist time. It is of high value, both in mathematics and theory.

为此，本文给出了"一个向量在另一个向量方向上的射影向量和射影向量系数"的概念，"射影向量系数"这一概念，为作者本人首次提出，具有重要的教学价值和理论价值。

Firstly, the damaged structure was measured to obtain the residual force vector matrix. Then the matrix was compared with the one of undamaged structure to get the difference matrix. The biggest absolute value in each row of the difference matrix formed the improved residual force vector.

该方法首先通过测试损伤结构多阶模态得到残余力向量，并计算相对于损伤前结构的残余力向量得到残余力向量差矩阵，选取向量差矩阵各行元素中最大绝对值组成改进的残余力向量。

In chapter Ⅰ, a historial review of structure control is given; In chapter Ⅱ, A discussion of the controllability and observablity of flexible structures is given, Two kinds of controllability and observablity index are defined, and applied to actuator allocation; chapter Ⅲ considers the reduction of high order flexible structure mode; the content of chapter Ⅳ is about the basic problem of distributed parameter control system design. It is proved that a stable controllor in mode space may be unstable in real use in distributed paramater systems, also, by closed loop mode concept, a pole assignment method of flexible structure controllor design is given; chapter Ⅴ is about the low-authority controllor design, it is pointed out by use of high order eigenvalue/eigenvector perturbation, a better controllor can be designed; chapter Ⅳ considers flexible structure reduced order control; chapter Ⅶ disscusses the basic problem of flexible structure computer control, analyses discreate controllablity and observablity and its computing, the sample period and coefficient wordlength; chapter Ⅷ is on the problem of low flexibility compensation; chapter Ⅸ is a design example.

在第一章简要回顾了挠性结构控制的历史，并且指出控制中的一些问题；第二章讨论了挠性结构的能控性与能观性，定义了两类能控性程度和能观性程度指标，还将能控性程度概念应用于执行器位置的确定；第三章论述了高阶模型的降价问题，比较了适于挠性结构模型降阶的方法，指出其适用范围；第四章内容是分布参数系统设计的基本问题，首先证明在模态空间中设计的稳定的控制器在实际分布系统上可能是不稳定的，进而根据闭环模态的概念，获得挠性结构控制器设计的极点配置方法；第五章的内容是关于低权控制器的设计问题，指出利用特征值高价摄动和特征向量的摄动，可以设计出更加完善的低权控制器；第六章讨论挠性结构降阶控制问题；第七章讨论挠性结构计算机控制的基本问题，分析了时间离散化模型的能控性和能观性及其计算问题，讨论了采样周期选择和系数字长问题；第八章讨论低挠性结构的补偿问题；第九章的设计例子用来说明第二章和第四章的结果。

The approach primarily adopts patch-based texture synthesis flow, synthesizing progressively-variant textures to reflect the diversification trend of vector fields.

在纹理合成过程中利用向量场作为指导，生成反映向量场大小和方向变化的合成结果·采用块纹理合成的流程，在对向量场合成块均匀划分的基础上，通过进一步的自适应分割，将向量场划分成为不同大小和不同形状的最终合成块，使之与向量场的变化趋势相吻合·对向量变化过于剧烈的区域，则采用点合成的方式进行纹理合成，以保证合成效果的平滑·实验表明，文中的方法可以实现快速而高质量的向量场可视化

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。