查询词典 compatible system of algebraic equations

Finally, a basic lemma was given to reveal the relation between the solution set of a centain integral equations and the generalized cyclic invariant subspace. This lemma will play an important role in the determination of controllability.

然后以一个基本引理的形式揭式某一积分方程的解集与广义循环不变子空间之间的联系，这个引理将在能控性的判定中起关键作用。

On the basis of algebra invariant theory, the expression of Helmholtz's free energy for orthotropic material considering damage effect was derived. Then, the corresponding constitutive relationship and damage evolution equations were obtained, based on irreversible thermodynamics theory.

基于代数不变量理论，推导了具各向异性损伤的正交各向异性材料的Helmholtz自由能的表达式，同时应用不可逆热力学理论，建立了其损伤本构关系及损伤演化方程。

In this paper, based on fitting the experimental data with conventional dynamic equations, an inverse circular function equation was developed.

在以常用动力学方程实验数据进行拟合的基础上，创建了反三角函数方程。

Three elements should be calculated in first-order circuit, which can synthesise analytical solution. Second-order series RLC and parallel RLC both can be calculated by the general function, which uses the Matlab to calculate differential equations. Generally, second-order and high-order circuits use Laplace transformation to formulate circuit equation, and get analytical solution by using Laplace inverse transform.

一阶电路先计算3要素，后合成解析结果；RLC串联和并联的二阶电路采用自编的通用函数计算，自编函数采用了Matlab求解微分方程的符号运算方法；一般的二阶电路和高阶电路采用拉氏变换列写电路方程，再用拉氏反变换得到解析结果。

The terms on the right hand side of the momentum equations that are multiplied by the inverse Reynolds number are called the diffusion terms .

该条款对右手边的势头方程是乘以逆雷诺数称为扩散条件。

Inverse operator method for solutions of nonlinear dynamical equations and some typical applications.

逆算符方法求解非线性动力学方程及其一些应用实例。

Inverse problems ; nonlinear ill-posed operator equations ; Newton type method ; implicit iterative method ; iteration stopping rule

反问题；非线性不适定算子方程； Newton型方法；隐式迭代法；迭代终止准则

The conservation theorem and its inverse theorem for the Poincar - Chetaev' s equations were established.

建立了Poincare-Chetaev方程的守恒定理及其逆定理，并举例说明结果的应用。

Chapter 5 deals with the solvable theorem of adaptive inverse optimal control problems for a class of stochastic nonlinear systems driven by Wiener noises of unknown covariance. The systems are depicted by It〓 stochastic differential equations. By using an adaptive backstepping algorithm and stochastic control Lyapunov functions, the designing procedure of control laws of global asymptotic stability in probability and adaptive inverse optimal stabilization in probability are presented systematically. Adaptive control laws and parameter update laws can be obtained at the same time by this design scheme.

在第5章中，针对具有方差不确定Wiener噪声扰动和未知定常参数的随机非线性系统（假设方差的F—范数是一个常数或一个缓慢变化的量，对其进行在线辨识），给出并证明了自适应逆最优控制问题可解定理，基于随机Lyapunov定理和It〓微分规则，采用自适应Backstepping设计方法，系统地设计了全局依概率渐近稳定和自适应逆最优控制策略，这种设计方法可同时获得控制策略和自适应律，计算机数值仿真结果表明该控制算法是有效性的。

The second part(Chapter 4,Chapter 5 and Chapter 6)is devoted to freeboundary problems(inverse boundary value problems or geometric inverse prob-lems)for elliptic systems of partial differential equations in continuum mechanics.

第二部分(即第四章、第五章、第六章)讨论力学中椭圆型方程组的自由边界问题(也称逆边值问题或几何反问题)及数值分析，主要涉及到渗流与气体动力学中的一些问题。

Methods Clinical data of 3 cases of bile duct injury during laparoscopic cholecystectomy were analyzed retrospectively.

回顾总结3例LC术中胆管损伤的临床资料，分析3例胆管损伤的原因及对策。

These techniques are applied to the gobang.

本文将这些技术用于五子棋中。