导出了关于混合模的耦合边界积分方程组及其退化形式，并用矩量法将之离散为齐次代数方程组，从而得波导的混合模传输常数；
The coupled boundary integral equations and their reduced forms are deduced for hybrid mode problems, and these equations are discreted into a system of linear algebraic equations by moment method.
本文对这一几何问题利用齐次线性方程组给予了代数方法的又一种证明。
This article given another kind of proof using algebra method by system of homogeneous linear equations to the geometry question.
给出了一个判定齐次线性方程组存在全非零解的充分必要条件。
We present a necessary and sufficient conditions of homogeneous linearity equations existing all-nonzero solution.
给出了求齐次线性方程组正交的基础解系的一个简便方法和一个应用实例。
A simple method for the orthogonal fundamental solution of homogeneous linear equation system and the example in its application are given.
利用齐次线性方程组解的理论讨论矩阵的秩，给出几个关于矩阵秩的著名不等式的证明，并证明了两个命题。
The article discusses rank of a matrix by the solution theorem of system of homogeneous linear equations, and proves several famous inequalities and two propositions on rank of a matrix.
借助于辅助变量，或辅助平面，提出了齐次线性方程组的图解法。
With the help of auxiliary variables or plane, a graphical solution for homogeneous linear equations is presented.
基于齐次平衡法的思想，利用多项式展开法解得了具有色散项的长波方程组的精确解。
The exact solutions to dispersive long-wave equations are obtained by a polynomial expansion method based on the idea of the homogeneous balance method.
给出了求常系数线性齐次差分方程组通解的一种方法，用一个例子说明所给方法。
This paper gives a method to obtain solution of linear homogeneous difference systems with constant coefficients. The method of this paper is illustrated by a example.
在线性方程组有解判别定理的基础上，给出了一个判定非齐次线性方程组存在全非零解的方法。
On the basis of the solution identification theorem in linear equations, a method is presented to ascertain whether there exists all-nonzero solutions to an inhomogeneous linear equation.
本文的目的是要给出关于可列非齐次马尔可夫链M元状态序组出现频率的一类新形式的强极限定理，所得结论对任意可列非齐次马尔可夫链普遍成立。
The purpose of this paper is to present a class of new strong limit theorems on the frequency ofm-tuple of states for arbitrary countable non-homogeneous Markov chains.
将行列式的值、矩阵的秩、齐次线性方程组的解等知识运用于向量组线性相关性判定，归纳出六种判定向量组线性相关性的方法。
The judging methods of the vectors group related dependence from determinant values, rank of matrix, solution of system of linear equations etc were studied.
由非齐次线性方程组解的结构给出静态工作点的基础解；
Then, the basic solution set of conical magnetic bearing static operation points is given based on the solution structure of linear equation group.
运用齐次化同伦连续法给出了两组非线性设计方程组的数值解。
By using the generalized homotopy iteration method, the sets of nonlinear synthesis equations were solved, and the whole numerical solutions were given out as a result.
通过分析发现，预应力设计的结果实际上就是一个齐次线性方程组的解空间。
The result of the prestress design is actually the solution space of a homogeneous linear equation set.
对于上述齐次双曲守恒律方程组与其近似模型之间解的比较，已经有人得到了相关结果。
There are some results on the comparison of weak solutions of homogeneous hyperbolic system and its approximate model.
由板的边界条件可以建立相应的齐次线形方程组。
By plate's boundary condition we can found the homologous homogeneous linear system of equations.
在线性方程组有解判别定理的基础上，给出了一个判定非齐次线性方程组存在全非零解的方法。
Homogeneous linear equations of n-variables have the non-zero solutions when the rank of its matrix is less than n.
利用齐次线性方程组解的理论讨论矩阵的秩，给出几个关于矩阵秩的著名不等式的证明，并证明了两个命题。
The judgment theorems for locating correctness were concluded by skillfully combining the solutions of homogenous linear equations with locating schemes.
通过分析发现，预应力设计的结果实际上就是一个齐次线性方程组的解空间。
The result of the prestress design is actually the solution space of a homo...
通过分析发现，预应力设计的结果实际上就是一个齐次线性方程组的解空间。
The result of the prestress design is actually the solution space of a homo...
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