查询词典 generalized function

According to generalized modular design, finite element models of each function module are built in ANSYS, which belong to pre-tightening frame of 45 MN forging press. MPC banded contact is used to simulate the connection of two fixed parts, while standard contact is used to simulate the connection of two dissociable parts, Deformations and stresses of the forging press under two working conditions are discussed, which provide good guides to the design of such kind of press.

依据广义模块化设计原理，在ANSYS中分别建立了45MN锻压机预紧组合机架各个功能模块的有限元模型，采用MPC绑定接触模拟闭合模块间的连接，标准接触模拟可开裂模块间的连接，分别讨论了空载和临界载荷两种状态下机架的变形和应力分布，计算方法和计算结果为此类机架的分析、设计提供参考和指导。

They are the deflection w, the rotations of the normal to the undeformed median surface Φx,Φy and the force function F. In the present paper these dependent functions are expressed as generalized double Fourier series with beam eigenfunctions as general terms.

本文中将这四个独立的函数表示为广义傅里叶级数，选用了两个变量分离的梁本征函数之积构成广义傅里叶级数的通项，通过梁本征函数中的待定常数使所选级数预先满足简支、固支或弹性支持边界条件。

A complete global analysis is given to the continuous vaccination models by using a generalized Dulac function.

在连续预防接种下，利用广义Dulac函数方法证明了无病平衡点和正平衡点的全局渐近稳定性。

In this paper,using the theory of planar dynamical system and the method of Jacobian elliptic function,the generalized Boussinesq equation is studied.

1引言非线性Boussinesq方程在物理学和流体力学领域是一个非常重要的数学模型，主要用于描述在弱非线性条件下和弱介质中的波的传播[2-7]。

In this paper, the Jacobi elliptic function method is generalized to study nonlinear coupled scalar field equation , and a lot of new analytic solutions of nonlinear coupled scalar field equation are obtained.

推广了Jacobi椭圆函数展开方法，研究了非线性耦合标量场方程组的求解问题，得到了更多更新的非线性耦合标量场方程组的解释解。

For robustness of parameter estimation of linear model,we obtain the maximal classes of the error distribution,in which Generalized Least Squares Estimate,Gauss-Markov Estimate of estimable function of parameters,and Minimum Norm Quadratic Unbiased Estimator of variance maintain their optimal statistical properties.

这些研究成果不仪具有比较深刻的理论意义，还具有较为广泛的应用价值。

Based on expansion of ODF in series of Generalized Spherical Harmonics by Bunge, we design programming in Orientation Distribution Function for polycrystal which contained five thousands crystals based on increment arithmetic of Voronoi. Geometrical data information, ODF of every crystal in polycrysal are imported to Open Graphics Library to draw, that means we implement visualization of ODF for every crystal in polycrystal.

主要针对具有立方结构的多晶体材料，采用Bunge级数展开法模型计算取向分布函数的理论模型，利用C语言在VC++环境下对ODF值进行了计算，并以Voronoi增量算法为基础生成包含有5000个晶粒的多晶体材料各晶粒的几何数据信息，与计算得到的ODF值一起导入OpenGL进行可视化处理，直观显示了多晶体材料中ODF值在各晶粒内的分布。

In order to avoid the singularity in the integration, the integrand was expressed to be sum of complex exponential terms by using discrete complex image method. With generalized pencil of function method introduced, the number, location and intensity of images were obtained without extracting the quasi-static and surface wave terms in the integrand, which makes DCIM more efficient for multi-layered media.

为了避免积分中的奇异性，利用离散复镜像法将积分核用复镜像的指数求和式表示，引入广义函数束方法，可以在不提取积分核中表面波项的条件下，采用数值方法提取准静态项，给出复镜像点的数目、位置和强度，使得该方法在多层介质情况下对格林函数的计算更为有效。

The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p-polynomials, as well as the permutation theory over finite field: The new definition of Chrestenson linear spectrum is given and the relation between the new Chrestenson linear spectrum and the Chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field; The distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field GF (2) and prime field F〓; The relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of Chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed; Using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized Bent functions over its prime field; The existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p-polynomials over finite field.

重新定义了有限域上逻辑函数的Chrestenson线性谱，考察了新定义的Chrestenson线性谱和原来的Chrestenson循环谱的关系，并利用一组对偶基给出了有限域上逻辑函数的反演公式；给出了有限域上随机变量联合分布的分解式，并利用随机变量联合分布的分解式对有限域上逻辑函数的密码性质进行了研究；给出了有限域上逻辑函数与相应素域上向量逻辑函数的关系，探讨了它们之间密码性质的联系，如平衡性，相关免疫性，扩散性，线性结构以及非线性度等；讨论了有限域上逻辑函数各类线性结构之间的关系，并给出了任意点都是线性结构的逻辑函数的全部构造，由此引出了有限域上的"泛仿射函数"的概念；考察了有限域上逻辑函数的退化性与线性结构的关系、退化性与Chrestenson谱支集的关系；给出了有限域逻辑函数非线性度的定义，利用有限域上逻辑函数的非线性度与相应素域上向量逻辑函数非线性度的关系，考察了有限域上逻辑函数的非线性度与线性结构的关系；利用有限域上逻辑函数与相应素域上向量逻辑函数的关系，揭示了有限域上的广义Bent函数与相应素域上的广义Bent函数的关系，以及有限域上的完全非线性函数与相应素域上向量广义Bent函数之间的关系；给出了任意有限域上任意n元完全非线性函数存在性与否的完整证明，并利用有限域上平衡的p-多项式的性质给出了有限域上完全非线性函数的一些基本构造方法。

A Green function expression and an equivalent generalized Fourier expansion with corresponding Sturm-Liouville eigenfunctions and eigenvalues are given.

给出了用格林函数表示的普遍解和相应的Sturm-Liouville本征函数及本征值。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。