模数函数

词组短语

modular function

与模数函数相关的网络例句 [注：此内容来源于网络，仅供参考]

Software Description: XICalc is an integer calculator program with the following features: multiple precision integers with millions of digits; uses Hartley Transform to speed-up long multiplies; separate input and outputnotation, base 2 to base 36; greatest common divisor function; Modulo arithmetic options; Bernoullinumbers, Euler Numbers; Boolean functions; random number generator; prime factor algorithm using theElliptic Curve Method; number theoretic functions phi, sigma and tau; prime testing and searching using the Adleman function; algebraic notation; if-then-else statement; go-to statement; can run XICalc code from files; hot help from F1 key; and it抯 written in Microsoft Visual C#.

XICalc 是一款带有如下功能的综合性计算器软件：带有百万数位的多精度整数；使用 Hartley Transform 加速长整型多样化计算；以2到36为基数分隔输入和输出符号；最大公约数函数；模数算法选项；Bernoulli 数字；Euler 数字；布尔函数；随机数字生成器；使用圆周曲线算法的主要因素运算法则；π，τ，Σ的数字理论函数；使用 Adleman 函数的最初测试和搜索功能；代数符号；if-then-else 语法结构声明；go-to 语法结构声明；来自于文件的XICalc 代码；F1键的热点帮助；并且该软件是采用适用于 Windows 操作系统的微软 Visual C#。

The content of this course is: analytic function (the definition of analytic function, elementary functions, etc.), conformal mapping (the definition if conformal mapping, fractional linear functions, elementary mappings, etc.), complex integration (Cauchy's integral formula, Cauchy's theorem, etc.), Series (Laurent Series, singularities, local property, etc.), residues and its applications (the Residues Theorem, integration by residues, the Argument Principle, the Maximum Principle, Schwarz's Lemma, etc.), analytic continuation and harmonic functions, etc.

本课程内容主要包括：解析函数(解析函数的定义、初等函数等)、共形映射(共形映射的定义、分式线性变换及初等映射等)、复积分(Cauchy 积分公式、 Cauchy 定理等)、级数(Laurent 级数、孤立奇点、局部映射等)、留数及其应用(留数定理、利用留数计算积分、幅角原理、最大模原理、 Schwarz 引理等)、解析开拓和调和函数等内容。

The pupose of the research is to develops public key encryption and digital signature shemes based on matrix canonical decomposition problem, or matrix diagonalization problem over Z/n, the ring of integers with modulo-n addition and multiplication in particular, where n is an RSA modulus.

本课题研究基于矩阵经典分解问题，特别是Z/n上矩阵对角化问题的公钥密码与数字签名算法，其中n是一个RSA模数。新算法采用由一个矩阵多项式构成的多维单向陷门函数，其单向性由矩阵对角分解问题(即通过相似变换将矩阵化为对角型的问题)的复杂性来保障，对该函数求逆的陷门由矩阵的特征值或特征向量提供。

Firstly, this paper investigated roundly the basic theory of the ambient vibration method, analyzed systematically the main methods of ambient vibration identification, and discussed their advantages and disadvantages. Then we established the finite element model of structural dynamics and test model and analyzed their mutual relation, improved MUSIC method and correlation function method in the harmonic identification, and gave the subspace method and correlation function method based on continuous model, which is multi-harmonic retrieve technique. And then, this paper also puts forward least-squares method to estimate directly structural physical and modal parameters; this approach replaced the derivative operator in the continuous time model with an equivalent approximation, and estimated the physical parameters of structures by the least-squares method. And then, we discussed the approximation methods of derivative and their convergence. Finally, this paper researched the modal parameters of a frame structure by the simulation and test. The results demonstrated that subspace method, correlation function method and the least-squares method are effective and stable respectively.

全面地研究环境振动识别方法的基本理论，系统地分析环境振动识别方法的主要方法，讨论它们的优点和不足；建立结(来源：6666AB44C论文网www.abclunwen.com)构动力学的有限元模型和试验模型，分析有限元模型与试验模型之间的相互关系；改进谐波识别中的MUSIC识别方法和相关函数识别方法，给出大型结构模态识别的连续型的子空间分解识别方法和相关函数识别方法，这个方法是多元谐波识别方法；提出直接识别结构的物理参数和模态参数的最小二乘方法，这个方法利用导数的近似值代替导数值，并运用最小二乘方法识别结构的物理参数，讨论导数近似值的选择方法，分析算法的收敛性；通过仿真计算和模型实验，研究高层框架结构的模态参数识别，验证子空间分解识别方法、相关函数识别方法和最小二乘识别方法的有效性，算法的稳定性；从理论和试验两个方面分析和研究噪声对识别精度的影响，影响识别精度的因素，以及部分模态成分的模态参数不能够被识别的原因。

Using algebraic methods which include extended Tanh-method,some new solitary solutions to the DBM and Log-DBM equation,such as singular solitary solutions,double singular peakon solitary wave solutions,double solitary wave solution with peakon and singular periodic solitary wave solutions are obtained..With the aid of an auxilitary function combined with the elliptic integral of the first kind,periodic solitary solution,singular and periodic singular solitary solutions can be obtained.

第三章利用扩展的Jacobi椭圆函数展开法研究了方程，并给出ZK-MEW方程的Jacobi椭圆函数解，特别的，当模数m→0和m→1时，其中一部分解退化为三角函数解和孤立波解；其次使用sn-cn拟设法，研究了K(k，s，1)方程，得到了k=s=3时的新的精确解，并在模数m→0和m→1时得到了丰富的三角函数和孤立波解。

Moreover,using Ito differential formul a to the constructed Lyapunov function along solutions of lto stochastic differential systems,Lyapunov method is adopted to set up the fundamental theory of dissipativity in the module corresponding to the theory on the dissipativity of deterministic ordinary dif- fere.

提出了有关Ito型随机微分系统耗散性理论的新概念：按模耗散、按模等度耗散和按模一致耗散，并利用Lyapunov方法，借助于Ito 微分公式沿着Ito型随机微分系统的解对所构造的Lyapunov函数求导数，给出了Ito型随机微分系统有关按模耗散理论的一些代数判据，获得了与确定性常微分系统耗散性理论相对应的结论，最后的算例证明了该方法的有效性和可行性。

According to two hypotheses: one for the relation between the dynamic complex stiffness and the material dynamic characteristics, another for the relation between the static displacement and the force acting on the element, the predicting formula for rectangular cross section are obtained respectively using the static stiffness formulation from the beam——column theory and the G〓bel method.

利用粘弹性材料的标准导数和分数导数模型的本构关系，建立了动态储能和损耗模量函数的关系式，由材料特性实验确定其中的参数，按元件的动态复刚度和材料动态特性之间与元件静态位移与作用力之间的关系假定，依柱梁理论或G〓bel的方法建立的静刚度表达式，建立了矩形截面环元件的刚度和阻尼的预测公式。

Some new conceptions are presented about the dissipativity theory of Ito stochastic differential systems as follows:dissipativity in module,equi-dissipativity in module and uniform dissipativity in module.

提出了有关Ito型随机微分系统耗散性理论的新概念：按模耗散、按模等度耗散和按模一致耗散，并利用Lyapunov方法，借助于Ito微分公式沿着Ito型随机微分系统的解对所构造的Lyapunov函数求导数，给出了Ito型随机微分系统有关按模耗散理论的一些代数判据，获得了与确定性常微分系统耗散性理论相对应的结论，最后的算例证明了该方法的有效性和可行性。

The simulation results show that calculated tortuosities varies with network connectivity as well as the Thiele modulus.This work also suggests that tortuosities obtained under diffusion-only conditions can only be used under the strong reaction control conditions.

模拟结果表明，计算出的曲折因子既是孔网络配位数的函数，又随Thiele模数的变化而不同，在纯扩散条件下测得的有效扩散系数只能应用于扩散影响不严重的反应扩散区域。

The simulation results show that calculated tortuosities varies with network connectivity as well as the Thiele modulus.This work also suggests that tortuosities obtained under diffusion-only conditions can only be used under the strong reaction control conditions.

模拟结果表明，计算出的曲折因子既是孔网络配位数的函数，又随Thiele模数的变化而不同，在纯扩散条件下测得的有效扩散系数只能应用於扩散影响不严重的反应扩散区域。

与模数函数相关的网络解释 [注：此内容来源于网络，仅供参考]

unimodularly bounded function：幺模有界函数

unimodular number 单模数 | unimodularly bounded function 幺模有界函数 | union 并集

elliptic function field：椭圆函数域

椭圆函数|elliptic function | 椭圆函数域|elliptic function field | 椭圆积分[的]模数|modulus of an elliptic integral

modular majorant：模强函数

modular machine components 组合机床的组件 | modular majorant 模强函数 | modular masonry unit 模数砌筑单位

modular function：模函数,模数函数

modular form 模形式 | modular function 模函数,模数函数 | modular function theory 模函数论

modular function theory：模函数论

modular function 模函数,模数函数 | modular function theory 模函数论 | modular functional 模泛函

residue class modulo m：模m剩余类

residue class module 剩余类模 | residue class modulo m 模m剩余类 | residue of a function 函数的残数

residue class modulo m：模

residue class module 剩余类模 | residue class modulo m 模 | residue of a function 函数的残数

residue of a function：函数的残数

residue class modulo m 模m剩余类 | residue of a function 函数的残数 | residue system 剩余系

modulation transfer function：调制转换函数

modulation of wave group 波群调制 | modulation transfer function 调制转换函数 | module 模数{单}

unimodular number：单模数

unimodular matrix 幺模阵 | unimodular number 单模数 | unimodularly bounded function 幺模有界函数