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The problem of concurrent line and collinear point in Elementary Geomettry is a simple problem. However it is very complex and difficult when we use Elementary Geometry theory to solve it.

初等几何中共线点及共点线的问题，本来是个简单的几何问题，然而这个问题运用初等几何方法去解决，有时会觉得非常复杂和困难。。

For example, teaching outline about research on elementary geometry must be redesigned, teaching plan and courses system should also be revised. Particularly, the course 揜esearch on elementary geometry and Higher geometry?

初等几何研究"课程的教学大纲需要重新制订，其课程体系和教学内容也需要大幅度调整，特别是将原来的"初等几何研究"课程和"高等几何"课程合并成为一门课程，并将该课程的教学目的从初等几何"研究转到初等几何教学素质的培养上来。

This paper discussed the matrix of elementary transformation in the higher elementary algebra linear algebra and number theory in wide use.

本论文主要讨论了矩阵的初等变换在高等代数线性代数以及初等数论中的广泛运用。

This paper focuses on a matrix of elementary transformation in higher algebra, linear algebra and number theory in the elementary extensive use.

本论文主要论述了矩阵的初等变换在高等代数、线性代数以及初等数论中的广泛运用。

In addition, elementary number theory, the matrix also can be used for elementary transformation to bring more than once and the division of congruence, and promotion to general-in addition to polynomial.

另外，在初等数论中，还可以用矩阵的初等变换来求一次带余除法的商及余式，并将其推广到一般除式为次多项式。

According to the characteristics of elementary cellular automata, partitioned matrix is employed to define t he local rules in the form of the matrix for the elementary cellular automata.

针对初等细胞自动机的特点，使用分块矩阵对初等细胞自动机的局部规则进行了基于矩阵形式的定义。

In chapter four of this paper, based on the theory of chapter two, by applying the oblique elementary of matrix or the second oblique elementary of matrix, the algorithm for solving the greatest common factor is presented. Thus the solving of the greatest common factor becomes fast simple and practical.

在第四章中，以第二章作为理论基础，提供了分别依据第一斜消法、第二斜消法求解最大公因式的算法实现过程(具体为算法1、算法2)，实现了最大公因式求解的计算机编程处理，使多项式组的最大公因式的求解变得快速、简便、实用。

The elementary transformation matrix throughout the linear algebra theory has, it makes some of the problems of linear algebra, become more simple, makes it easier to understand, so elementary transformation in the role of linear algebra is very important.

标签：论文摘要，翻译，论文矩阵的初等变换贯穿于整个线性代数理论的始终，它使线性代数里的一些问题变的更加简单，使人更容易理解，所以初等变换在线性代数中作用十分重要。

As a result of myself interest hobby reason, myself have studied related computer aspect some elementary knowledge and the elementary operation eo, including Adobe Photoshop, Word and PowerPoint.

由于本人的兴趣爱好的原因，本人学了有关电脑方面的一些基本知识和基本操作，包括Adobe Photoshop、Word和PowerPoint。

When a truth-operation is applied to the results of truth-operations on elementary propositions, there is always a single operation on elementary propositions that has the same result.

对基本命题真值运算的结果再作一次真值运算，其结果总可等同于对基本命题施用某一单独的真值运算。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。