系数函数

By introducing special stress functions, we find solutions of eighth order homogeneous linear equation set with complex functions method and approach of undetermined coefficients, deduce calculation formulas of bi-material elastic constants for two dissimilar orthotropic composite materials. The expressions of stress intensity factors near finite interface crack tip subjected to symmetric loadings are derived. A engineering application numerical example is given.

通过引入特殊的应力函数，采用复变函数方法和待定系数法求解了八阶齐次线性方程组，推出了两种相异正交异性复合材料板的双材料弹性常数的计算公式，得到了受对称载荷作用的界面裂纹尖端应力强度因子的计算公式，给出了一个工程应用算例。

Given the specific marginal distribution, t-Copula is an easy way to get the joint distribution of return of assets in portfolio.

我们发现采用Poon（2003）提出的利用尾部相关性方法能够很好估算出极端情况下的尾部相关性系数并准确地判断出t-Copula函数适合作为资产收益的联合分布函数。

Based on ear recognition, an improved NMFSC(Nonnegative Matrix Factorization with Sparseness Constraints) method was proposed by imposing an additional constraint on the objective function of NMFSC, which could capture the semantic relations of coefficient matrix as orthogonal as possible. The interated rules to solve the objective function with the constraint were presented, and its convergence was proved.

针对人耳识别问题，提出了一种改进的稀疏性受限的非负矩阵因子方法，通过增加一个使系数矩阵尽可能正交的约束条件来定义原目标函数，给出求解该目标函数的迭代规则，并证明迭代规则的收敛性。

Based on ear recognition, an improved NMFSC (Non-negative Matrix Factorization with Sparseness Constraints) method was proposed by imposing an additional constraint on the objective function of NMFSC, which could capture the semantic relations of coefficient matrix as orthogonal as possible. The interated rules to solve the objective function with the constraint were presented, and its convergence was proved.

针对人耳识别问题，提出了一种改进的稀疏性受限的非负矩阵因子方法，通过增加一个使系数矩阵尽可能正交的约束条件来定义原目标函数，给出求解该目标函数的迭代规则，并证明迭代规则的收敛性。

And giving the way to own the biggest coefficient in an inferior expansion; The third is that showing the mathematic expectation for multinomial distribution, covariance matrix, characteristic function as well as generating function; Finally, introducing some application instances about gaining maximum value and some simple applications of multinomial distribution in reality.

并且给出了M项N次多项展开式中最大系数的求法；3。介绍多项分布的数学期望、协方差阵、特征函数以及母函数；最后，介绍多项分布最大值求法的应用事例以及多项分布在实际中的简单应用。

This method decomposes wave-front phase to a linear combination of orthonormal basis functions, According to the covariance of weight coefficient, a random wave-front phase is realized.

协方差冲激函数产生法对连续波前相位进行冲激函数正交分解，根据正交分解系数的协方差模拟平行光通过大气后的瞬时波前相位。

By this parametrization, the problem of identifying AR and MA parameters is converted into one of identifying a new group of parameters.

从而将ARMA参数的辨识问题转化为传递函数参数表示中有界谱函数的分子和分母系数辨识问题。

Then,we prove the convergence of the radial basis function for solving partial differential equations with projection methods .

本文讨论用MQ作为插值的径向基函数，对自共轭椭圆型方程进行插值，证明了插值系数的唯一性，并用投影法证明了用径向基函数解自共轭椭圆型方程的收敛性。

Themethod is based on a decomposition of atomic wavefunction〓 into a product of a correlation factor 〓,partially describing the wavefunctioncharacteristics,and the other factor 〓,which is stillexpanded in the symmetric basis function of 〓permutation group.

将Li原子的波函数ψ分解为两项之积，即ψ=Xφ，X=exp-α（〓；而φ仍向〓群的对称基展开，得出超球径耦合微分方程，〓（1）其中，〓和〓为方阵，〓为对角阵，〓（2）再利用广义Laguerre函数展开法对其求解，得到系数矩阵的递推关系式。

For polydisperse systems at large Péclet number, we establish the systems of differential equations describing the leading term and the second term of the pairdistribution function via regular perturbation method.

针对高Péclet数情形，通过正则扰动法我们建立了决定对分布函数的微扰展开的主导项和一阶项的联立方程组，并用由此算出的对分布函数的数值解计算了系统的沉降系数。

By the time of its fall, most of the prisoners were writers who had written against the corruptions of the government.

到它被攻陷的时候，里面多数的犯人是写了反对政府贪污文章的作家。

The most obvious variation to ovum morphological character was that the color was changed from light green to sepiaceous in embryonic development, and all the ovums were almost hatched after 96h.

在胚胎发育过程中卵的形态特征最明显的变化是颜色从淡绿到深褐色，卵在发育96h后卵基本全部孵化。