查询词典 convolution equation

Considering the characteristic of dynamic consolidation in soft soil, L'place transformation is carried out on the basis of relaxed resolution problem of dynamic consolidation in saturated soft soil proposed by Zienkiewicz. With calculus of variations as the principal theory, the function of dynamic consolidation equation is constructed, and further, dynamic consolidation equation in matrix forms is deducted.

本文针对软土地基上动力固结法的特点，在Zienkiewicz提出的饱和土体动力固结定解问题的基础上做拉氏变换，以变分原理为基本理论，构造动力固结方程的泛函，进一步推导得到动力固结方程的矩阵形式表达式。

In Chapter 3, the generalized skew-symmetric solutions of the matrix equation A~TXA = B on the linear manifold S ={X e GKSR~|||XY - Z}}= min, Y, Z∈ R~}, using the canonical correlation decomposition of a matrix pair, the necessary and sufficient conditions for the existence and the expressions for the generalized skew-symmetric solutions of matrix equation A~TXA — B on the linear manifold are established.

利用矩阵对的标准相关分解，给出了这类线性流形上矩阵方程A~TXA=B存在广义次对称解的充要条件及其通解表达式，并且导出了极小Frobenius范数广义次对称解的表达(来源：d7d7A7dBC论文网www.abclunwen.com)式。

In Chapter 5, the least-squares solutions bisymmetric matrix set of the matrix equation ATXA = B on two linear manifolds Si ={X BSRnxn\\\XY - Z\\ = min} and S2 ={X BSRnXn\XY = Z, YtTZi = ZjYu ZtffYi = Zi,i = 1,2, Y, Z e Rnxm}, by applying the singular value decomposition of matrix and the canonical correlation decomposition of matrix pairs, we obtain a general expression of the least-squares solutions of the matrix equation ATXA = B on two linear manifolds.

在第五章，我们研究了两类线性流形S_1={X∈BSR~|‖XY-Z‖=min}和S_2={X∈BSR~|XY=Z，Y_i~TZ_i=Z_i~TY_i，Z_iY_i+Y_i=Z_i，i=1，2，Y，Z∈R~}上矩阵方程A~TXA=B的双对称最小二乘解。

Uncertain differential equation is a type of differential equation driven by canonical process.

不确定微分方程是由标准过程驱动的一类微分方程。

The equivalence of canonical equation and Heisenbergs Equation to harmonic oscillator systems are verified.

从而验证了海森伯方程和哈密顿正则方程对谐振子系统的等价性。

The corresponding relations between the multi-variable canonical difference equation and the extended-state multi-variable equation are also reviewed.

文中还展示了多变量典范差分方程与多变量扩展状态方程之间的对应关系。

Based on the Hamilton canonical equation for elastic bodies, and using its semi-analytical solution , the linear equation for each layer of laminated shells is established respectively.

以弹性力学中的Hamilton正则方程为基础，分别应用Hamilton正则方程的半解析法构建层合壳每一层的线性方程。

In this paper,the author deduces the basic equation of statistical Mechanics- Liouville Theorem in two different ways from analytical mechanics′ concepts of phase space and the Hamilton Canonical Equation.

本文笔者用两种不同思路由分析力学的相空间概念和哈密顿正则方程推导了统计力学的基本方程———刘维定理。

With the Hamilton canonical equation of cylindrical shells, the coupling equation of an elastically constrained circular cylindrical double-shell system is derived.

以圆柱壳的Hamilton正则方程为基础，推导了受弹性约束的双层圆柱壳的耦合方程，并将其应用于大型发电机定子系统的振动特性分析。

Based on the relationship between the discrete-time difference equation and its observable state-space canonical form, the explicit solution to Diophantine equation in generalized predictive control is derived.

利用被控对象的离散差分方程与其状态空间能观标准型之间的关系，推导出广义预测控制中Diophantine方程的显式解，从而避免了其递推求解，使广义预测控制的应用更加方便。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。