本文利用线性自动机的图型理论，给出一些由初等因子组判定奇偶性的结果。
In this paper some results are reported upon the decision of the evenness by elementary divisors, in accordance with the state diagram theories of linear automata.
你可以简要地说其实证明就是初等矩阵理论，三角不等式和鸽笼原理的运用。
You can say that the proof USES nothing beyond elementary matrix theory, repeated use of the triangle inequality, and the pigeonhole principle.
该文利用矩阵的初等变换解决有限维向量空间中向量组的线性性质的有关问题，并给出了这种方法的理论依据。
This paper with elementary transformation of matrix discusses some properties of a set of vectors in finite dimensional vector space and the theory basis of this method is given.
由于剪力滞效应及剪切变形的存在，箱梁的弯曲振动频率按照初等梁理论计算往往存在较大的误差。
The vibration frequency of box gird is usually calculated by the elementary beam theory, but it will lead to a large error because of the existence of shear lag effect and shear deformation.
它运用初等灾变理论中分岔的概念找出决定电力系统稳定的控制参数的分岔值，从而确定了系统的稳定区域，由稳定区域即可进行系统的稳定判断。
It applied bifurcation approach of elementary catastrophe theory to find out control parameters' bifurcation values, which decide stability of power systems, further, stability region can be obtained.
同余理论是初等数论的核心内容之一，蕴含着大量的数论所特有的思想、概念和方法。
The congruent theory is one of the core contents of number theory, containing a great deal of special thought, concept and method.
玻尔理论具有强烈的初等古典力学的气味，这就构成了古典物理和近代原子理论间的一座重要的桥梁。
The Bohr theory, with its strong flavor of elementary classical mechanics, formed an important bridge between classical physics and present-day atomic theory.
通过对增广矩阵适当“加边”，利用矩阵的初等行变换，直接求出线性方程组的通解形式，并在理论上给予了论证。
This paper presents directly the general solution to sets of linear equations by properly bordering on augmented matrix and elementary transformation, and produeces some theoretical proving.
通过对增广矩阵适当“加边”，利用矩阵的初等行变换，直接求出线性方程组的通解形式，并在理论上给予了论证。
This paper presents directly the general solution to sets of linear equations by properly bordering on augmented matrix and elementary transformation, and produeces some theoretical proving.
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