查询词典 compatible system of algebraic equations

It is a system of differential algebraic equations.This dissertation focuses on the dynamic simulations for different processes.

面向方程的动态建模将时间变量引入到模型系统，即系统内部的性质随着时间而变。

Simulation model described by the Modelica language can be translated into a system of differential algebraic equations .

基于Modelica语言建立的仿真模型可以映射为一个微分代数方程系统。

The constant element scheme is adopted in the discretization of BIE, anda system of linear algebraic equations is obtained.

采用常单元方案对边界积分方程进行离散化，得到了问题的线性代数方程组。

Then the hybrid boundary value problem is reduced to solve an infinite system of linear algebraic equations. The results are compared both with the calculations from others and with experiment data, and those are discussed.

而后将原来混合边值问题的求解归结为求解无穷线性代数方程组的间题文中将分析计算结果与前人的计算结果及实验数据进行了对比，并对结果进行了分析讨论。

Descartes' influence in mathematics is also apparent, the Cartesian coordinate system allowing geometric shapes to be expressed in algebraic equations being named for him.

笛卡尔在数学中的影响也很显著，因他而命名的笛卡儿坐标系让几何图形可用数学方程表达。

Content of the course consists of:(1)Basic Theories of Polynomials ;(2)Linear Algebra: topics on basic matrix theory, determinant, system of linear equations, vector space, linear transformation, eigenvalue problems, inner product and Euclidean space , and quadratic form etc.;(3) Analytic Geometry: topics on algebraic operations of vectors, coordinates, lines and planes, curves and curved surfaces, etc.

学习本课程后，学生应学会用线性空间与线性变换的观点处理包括线性代数方程组在内的有关理论与实际问题；学会熟练地运用矩阵工具；本课程还学习基本的多项式知识和空间解析几何的基本知识。课程内容包括几个主要部分：（1）多项式代数；（2）线性代数：矩阵，行列式，线性代数方程组，向量空间与线性变换理论，特征值问题，欧氏空间理论，二次型等；（3）解析几何：几何空间向量代数，通过建立坐标系以及借助向量方法研究空间平面与直线及点﹑线﹑面的相互关系，借助曲面方程研究空间曲面，尤其是柱面，锥面，旋转面和二次曲面以及曲面的交线等。

In this paper,new quadratic PEk method and quadratic EPEk method are given for solving a system of linear algebraic equations whose matrix of coefficients is tridiagonal blocked matrix.

建立求解系数矩阵为分块三对角矩阵的线性代数方程组的新型二次PEk方法以及其外插迭代二次EPEk方法，对系数矩阵为对称正定矩阵情形，证明了新型二次PEk方法和二次EPEk方法的可解性和收敛性

Fundamental concepts in power system differential-algebraic equations model, like singular point and multiple energy function sheets defined on constraint manifolds, are studied.

所得研究成果揭示了微分代数模型与奇异扰动模型的本质区别、奇异性与系统模型和系统负载的联系、结构保持能量函数法可能具有的内在保守性等，这对深入理解电力系统微分代数方程模型的拓扑结构、结构保持能量函数法和暂态电压稳定及其与功角稳定的关系具有一定的价值。

By introducing the NCP function, the KKT conditions of POPF system are transformed equivalently. Based on the transformed nonsmooth nonlinear algebraic equations, the FOSMM is used to determine the POPF model expressed by the numerical characteristic of variables. The model includes nonsmooth functions, so it can be solved by a semismooth L-M method based on the subdifferential.

将概率最优潮流表述为随机非线性规划问题后，利用非线性互补函数将该问题的KKT条件进行转化，基于转化后的非线性代数方程组，利用一次二阶矩法确定了以待求量的数字特征表示的概率最优潮流模型，由于该模型包含不光滑函数，因此采用基于次微分的半光滑L-M方法求解。

One of the important classes is Pritchard-Salamon system with unbounded admissible input operator and output operator. Keulen[4]and Curtain[5] has finished excellent work, but they added smooth condition when they transform the solution of H∞-Control into solving two algebraic Riccati equations.

其中重要的一类是具容许无界输入和输出的Pritchard-Salamon系统，这方面已有Keulen[4]，Curtain[5]等人的工作，不过他们在将次最优H_∞-控制器存在问题转化为相应Riccati方程解的存在问题时附加了"光滑性条件"。

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。