Regularity of eigenfunction about Laplacian;
Laplace算子的特征函数的正则性
The velocity potential in each region is expanded by eigenfunctions.
假想存在一个圆柱面,把流场划分为内外区域,在每个区域上将速度势用特征函数展开,然后在它们的公共边界上进行匹配,匹配的原则是公共边界上速度连续,压力连续,从而可得到关于未知系数的一组线性代数方程组,解出未知系数,即可求得流域中任意一点的速度势和波高。
The velocity potential in each region is expanded with eigenfunctions.
假想存在一个圆柱面,把流场划分为内外区域,在每个区域上将速度势用特征函数展开,然后在它们的公共边界上进行匹配。
Calculation formula of a characteristic function in patern recognition;
模式识别中特征函数的计算方法
Properties of the general thermodynamic characteristic function;
再论通用特征函数的性质
The numerical feature of the random variable,such as mathematic expectancy and variance,reflects the feature of distributional function;yet it is the feature function that describes the distributional function,and promises more convenience in application.
随机变量的数字特征———数学期望、方差等能反映分布函数的性质,但确切刻画分布函数的是特征函数,特征函数比分布函数应用起来更方便。
In this article,the author uses the probability numeral features which is also called as random variable feature function to get the random variable s n-moment matrix,mathematical expectations and mean square error,so that the average value and mean square error in the quantum mechanics can be got.
利用概率数字特征即随机变量的特征函数,求随机变量的n阶矩及随机变量的期待值和方差的方法,求解量子力学中的平均值。
The feature functions were reckoned as the most important part of the maximum entropy model which could affact the last result of system.
在最大熵等统计机器学习模型当中,特征函数的选择可以说是对系统整体性能影响最大的部分。
On Heat Kernels, Eigenvalues and Eigenfunctions of Compact Symmetric Spaces;
紧致对称空间的热核、特征值和特征函数
Adopting the right eigenfunctions,it was found 3-term truncation is almost accurate.
利用离散化后的微分方程在u—vf平面上的失稳区域随离散维数的变化情况,验证了两端铰支的轴向运动梁取正弦函数做Galerkin截断方法时所得结果的正确性,对于两端固支的轴向运动梁,选取不同的特征函数,分别应用Galerkin截断方法并比较所得结果,最后得到适用于此种支承条件下的离散方法。
There is another type of orthogonality of eigenfunctions of the Sturm-Liouville problem as follows:∫ba[p(x)y′m(x)y′n(x)+q(x)ym(x)yn(x)]dx+hym(a)yn(a)+Hym(b)yn(b)=0(m≠n).
斯图姆—刘维尔型特征值问题中特征函数存在另外一类正交关系,就是:ba∫[p(x)y′m(x)y′n(x)+q(x)ym(x)yn(x)]dx+hym(a)yn(a)+Hym(b)yn(b)=0(m≠n),称此正交关系为第二类正交关系。
On Several Results Fundamental Functions of Meromorphic Functions;
关于亚纯函数的特征函数的几个结果
maximum characteristic root
特征函数根的极大值
characteristic function of binomial law
二项分布律的特征函数
characteristic function of probability distribution
概率分布的特征函数
eigenvalue and eigenfunction of partial differential operator
偏微分算子的特征值与特征函数
On Research of characteristic Functions of differential polynomial of Meromorphic functions;
关于亚纯函数的微分多项式的特征函数的研究
Online Signature Verification Based on Feature Function Method;
基于特征函数法的在线签名鉴别研究
The Convergence and Divergence Problems of Expansion Based on Eigenfunctions of Hamilton Operators;
基于Hamilton算子特征函数系展开的敛散性
Applications and Properties of the Extensive Characteristic Functions in Banach Spaces;
Banach空间中广义特征函数的性质及应用
Analysis of the Eigenfunction of LTI System in Sustainable Time Domain;
连续时间LTI系统特征函数分析法
Two Nature Propositions of Characteristic Function and the Converse Proposition
特征函数的两个性质命题与其逆命题
The Completeness of Eigenfuction System for Two Regular 2×2 Sturm-Liouville Problems;
常型2×2 Sturm-Liouville问题的特征函数系的完备性
The Inverse Problem for the Symplectic Orthogonality of Eigenfunction System of Infinite Dimensional Hamiltonian Operator;
无穷维Hamilton算子特征函数系辛正交性的反问题
The Completeness of the Eigenfunction Systems of a Class of Infinite Dimensional Hamiltonian Operators;
一类无穷维Hamilton算子特征函数系的完备性
On the Characteristics of Haar s Function and Walsh s Function;
关于Haar函数与Walsh函数的特征性质
Dual Relation between Production Function and Cost Function;
生产函数与成本函数的对偶关系及其特征
Finally we discuss contiguous mapping properties of the pairwise contiguous spaces.
其次给出配邻近空间的函数特征。
Lower Bound of Dirichlet L-function for Real Primitive Characters at s=1;
实原特征的Dirichlet L-函数L（1，χ）的下界