查询词典 difference equation

Throush the interlace series type linear differential equation,coefficient containing three negative number of times,power function and arrangement number can be changed into the linear differential equation of successive integral.

通过把系数含有负三次幂函数与排列数的交错级数型线性微分方程化为可逐次积分的线性微分方程，找出了求这类方程通解的方法与理论，把所得定理给出了严格的证明，并将其推广，同时通过实例介绍了它的应用。

In Chapter 2, the D-symmetric solutions of matrix equation A~TXA = B on the linear manifold S ={X ∈ D~(-2)SR~|XZ = Y, Y = Y{D~2Z+D~2Z, Z~TD~2Y = Y~TD~2Z, Y,Z∈ R~}, by applying the generalized singular value decomposition of a matrix pair, the necessary and sufficient conditions for the existence and the expressions for the D-symmetric solutions of matrix equation A~TXA — B on the linear manifold are established.

运用矩阵对的广义奇异值分解，给出了这类线性流形上矩阵方程A~TXA=B存在D对称解的充要条件及其通解的表达式。另外给出了它的D对称最小二乘解的表达式。

In Chapter 4, the centro-symmetric solutions of matrix equation A~TXA = B on the linear manifold S ={X ∈ CSR~|||XY - Z||= min, Y,Z ∈ R~|}, using the quotient singular value decomposition of matrix pairs, the necessary and sufficient conditions for the existence and the expressions for the centro-symmetric solutions of matrix equation A~TXA = B on the linear manifold are established.

利用矩阵对的商奇异值分解，给出了这类线性流形上矩阵方程A~TXA=B存在中心对称解的充要条件及其通解表达式。

The general constitutive equation of the rheological component model is a linear ordinary differential equation of N order, which is a typical SISO linear stationary system.

岩石流变组合模型的本构方程通式—n阶线性常微分方程，是一种典型的SISO线性定常系统。

Chapter 4 discusses the stability of a class of nonlinear impulsive partial differential equations. The main idea is translating the stability of the considered nonlinear impulsive partial differential equation into that of the corresponding linear impulsive ordinary differential equation via Gronwall-Bellman inequality with impulse on the basis of comparison theorem.

第四章基于比较定理，主要利用含脉冲的Gronwall-Bellman不等式初步讨论了脉冲偏微分系统的稳定性，将一类非线性脉冲偏微分方程的稳定性化归为线性脉冲常微分方程的稳定性，为将脉冲常微分方程稳定性的有关结论推广到脉冲偏微分方程提供了理论依据并奠定了基础。

An integrated Hamiltonian theory was constituted in Classical Mechanics and applied to studying the form of Lagrange equation in theory of electromagnetic, the Schrodinger equation and the Liouville theorem in statistical Physics.

经典力学利用Hamilton系统建立了一套完整的Hamilton理论，用以研究电磁场理论的拉格朗日方程形式，薛定谔波方程，统计物理学中的Liouville定理等。

Let M be a compact submanifold of locally symmetric space N~,we apply Gauss equation,Ricci equation and the property of locally symmetry of the outer space ,through studying f =.

我们应用Gauss方程，Ricci方程和外围空间的局部对称性质等方法，通过研究函数f=？

The manipulation of sugar can divide the curve of pink wine alcohol fermentation density with the changes of time into two parts when the sugar content of raw material-grape is lower than 12%. The regression analysis results showed that quadrative equation and logarithmic equation can be used to describe changes of density with changes of time before and after replenishing sugar respectively.

当葡萄原料含糖量低于12%酒度要求时，加糖操作可将桃红葡萄酒酒精发酵密度随时间变化的曲线分为2段，用回归分析法分析结果表明，加糖前密度随时间的变化规律可用二次方程描述，加糖后密度随时间的变化规律可用对数方程描述。

After researching on open channel roughness coefficient, the authors conclude that coefficients n and k have a good relationship and fit out of n-k logarithmic equation. But smooth and rough open channel with different n-k equation, needing further study.

对明渠糙率系数的研究，得出结论：明渠糙率系数与系数k有良好的对数关系并拟合出n-k的对数方程，但是光滑床面和粗糙床面有不同的n-k方程，有待进一步研究。

In this paper, we constructed the new conservative schemes of regularized long wave equation according to the physical laws of this equation.

在本文中，我们基于RLW方程本身具有的物理律，构造RLW方程的新的守恒型差分格式。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。