查询词典 function algebra

This paper generalizes the conclusion of Perfect nonlinear S-boxes by Nyberg(1991), and introduces the conception of inverse regular generalized vector Bent function. It shows that for inverse regular generalized vector Bent function f with even variables, m is no more than half of?. It also shows that when the input dimension n is odd, the regular generalized vector Bent function and the inverse regular generalized vector Bent function do not exist. This may prevent the cryptology designer from seeking the inexistent function.

摘要该文完善并拓展了Nyberg(1991)的关于广义向量Bent函数性质的结论，相应于Nyberg给出的正则广义向量Bent函数，提出了&负则的广义向量Bent函数&的概念：得到有偶数个输入的负则的广义向量Bent函数输出维数也不大于输入维数的一半；证明了奇数个输入的正则和负则的广义向量Bent函数都不存在，这些结果的给出，可使密码设计者避免一味去寻找某类不存在的函数。

The basic function of county government is to perfect the configuration of market economy system to create basic conditions for the performance of market system by institutional innovation; the guiding function refers to the one that county government creates the development plans, strategies, policies and economic levers to promote the agricultural modernization, county industrialization,and urbanization for driving the county developmant; organizational function means that county government carries out the correct measures of industrial organization to avoid infavorable impact of overcompetition on economy and to improve the development and competitivity; regulatory function performs when county government regulates the conducts of market bodies by economic, legislative and administrative means to solve the externality and to sustain the development; and the complementory function acts on market by government supplying the public goods and harmonizing the social development.

基础性作用即县级政府通过一系列市场化的制度创新，建立完善了市场经济体制的基本框架，为市场机制发挥作用创造了基础条件；主导性作用即县级政府通过发展规划、发展战略、经济政策和经济杠杆，促进农业现代化、县域工业化和城镇化，使县域经济发展更具主动性；组织性作用即县级政府实施正确的产业组织措施，克服过度竞争对县域经济发展的不利影响，提高县域经济运行质量和竞争力；矫正性作用即县级政府通过一系列经济、法律、行政手段，对市场主体的行为进行调节，解决县域经济的外部性问题，使县域经济提高效率，实现可持续发展；补充性作用即县级政府发挥对市场的补充作用，主导公共产品供给，从根本上解决县域公共产品短缺问题，实现经济社会协调发展。

The cultural function is the basic function of education, other functions such as economical function and political function, etc. are refracted in the cultural function of education.

教育的基本功能是其文化功能，教育的其它功能是其文化功能的特定形式或在不同背景上的折射。

The investigations in this thesis focus on several aspects as follows: We investigate the method that how to produce permutation matrix by using chaotic map, and get the method of image permutation based on chaotic map. This method can make original image to unorderly image to protect the true content of image. We investigate gray level mix function, and put forward a gray level mix function based on chaotic map. Because this function has chaotic characteristics, the image dealed with this function has very uniform histogram. Aiming at the contradiction between error robust and security on image encryption, we put forward a kind of gray level mix function including diffusion mechanism.

本文的研究工作主要集中在以下几方面：研究了如何利用混沌映射产生置乱矩阵的方法，给出了基于混沌的数字图像置乱方法，该方法能够将原始图像变成面目全非的杂乱图像，从而保护了数字图像的真实内容；研究了灰级混合函数，提出了基于混沌的灰级混合函数，由于该函数具有混沌特性，所以经过该函数处理后的图像具有非常均衡的灰级直方图；针对图像加密的错误鲁棒性与安全性之间的矛盾，提出了一种含有扩散机制的灰级混合函数。

Considering the actual surroundings and the characteristics of internal audit in our country,the supervising and examining function,certificating and appraising function,controlling function,risk early-warned function and counseling function should be as the mostly functions of internal audit.

就我国目前的环境和我国内部审计的特点来看，监督检查职能、鉴证评价职能、控制职能、风险预警职能和咨询服务职能应该是内部审计的主要职能。

The automatic meter readingsystem should have the functions: the data acquisition function, the set up parameters, the control to system, the advanced charge system and the protectionfunction; Below latter should realize the function: The data acquisition, the electric quantity initialization function, opening machine and closing machine function and power failure protection function.

计量方式选择多用户自动远传抄表系统和单项智能电表远传抄表系统，多用户自动远传抄表系统应具有如下功能：数据采集、参数设置、系统控制功能、系统预付费功能和保护功能；单项智能电表远传抄表系统应实现以下功能：数据采集、电量预置功能，开关机功能和掉电保护功能。

Radial basis function coupled with a polynomial basis function was used as a trail function, and a Heaviside function was used as a test function of the weighted residual method.

这种无网格方法采用径向基函数耦合多项式基函数来近似试函数，采用Heaviside函数作为加权残值法中的权函数。

Its primary coverage includes: Function and limit, derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral and application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral and curvilinear integral, infinite series, differential equation and so on.

其主要内容有：函数与极限，导数与微分，中值定理与导数应用，不定积分，定积分及其应用，空间解析几何与矢量代数，多元函数的微分法及其应用，重积分与曲线积分，无穷级数，微分方程等。

We can take Fourier transformation or Laplace transformation towards try to of square distance both ends according to the their lines property, differential calculus property and integral calculus property, its conversion for act for of elephant function square distance, from this algebra square the distance beg an elephant function, then take Fourier negative transformation or Laplace negative transformation have to originally square distance of solution.

我们可以根据他们的线性性质，微分性质和积分性质，对欲求的方程两端取Fourier变换或Laplace变换，将其转化为象函数的代理方程，由这个代数方程求出象函数，然后再取Fourier逆变换或Laplace逆变换就得出原来方程的解。

In Chapter 2, we introduce a new scalar function of the vector optimization problem by virtue of the spectral function in Euclidean Jordan algebra. Correspondingly, we define the spectral scalar optimization problem and spectral scalar solution.

第二章借助欧几里德若当代数中谱函数的概念，引入了欧几里德若当代数向量优化新的标量函数——谱标量函数，并进一步定义了相应的谱标量优化问题及其谱标量解。

Fostering the concept of multi-culture firmly and mastering the development of advanced culture correctly are conductive to resisting terrorism, separatism of nationalities and ultraism of religion, which is of great academic theoretical, immediate and profound historical si...

牢固树立多元文化的理念和正确把握先进文化的发展方向，有助于在世界范围内自觉地抵制恐怖主义，民族分裂主义和宗教极端主义。不仅具有重大的学术理论意义，而且也具有重大的现实意义和深远的历史意义。

But if anyone walks in the night, he stumbles, because the light is not in him.

11：10 若在黑夜行走，就必碰跌，因为那光不在他里面。