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1·The ordinary numbers of arithmetic and elementary algebra are known as scalars.

算术和初等代数中普通的数通称纯量。

2·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。

3·There is some mathematics in most chapters, but it's usually just elementary algebra and plots of functions, which I expect most readers will be okay with.

在大多数章节有数学要求，不过通常只是初等代数和函数图象，我希望大多数读者对这些要求没有问题。

4·In the Mathematics Test, three subscores are based on six content areas: pre-algebra, elementary algebra, intermediate algebra, coordinate geometry, plane geometry, and trigonometry.

核心提示：数学测试部分，共六个方面的内容组成了三个部分的得分：算术、初级代数、中级代数、几何坐标、平面几何、三角形。

5·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。

6·First, the matrix of elementary transformation in the use of advanced algebra in a very wide and easy to use.

首先，矩阵的初等变换在高等代数中的用途很广，且使用方便。

7·Number and algebra 'is a part of traditional content in mathematics textbook for elementary schools.

“数与代数”是小学数学教材中主要的传统内容。

8·When the set of roots for a semi-simple Lie algebra have been selected appropriately, the scalar product of the weights of the elementary representation can be calculated.

在适当地选取了半单李代数的根系之后，就可算出初等表示权的标积。

9·Finally, an example, which is important elementary course linear algebra, is used to explain how to use the new mathematical teaching model to train the students' mathematical application ability.

第四，选择大学理工科重要的数学基础课程《线性代数》作为实例内容，说明如何在课堂教学中采用新的数学教学模式培养学生的数学应用能力。

10·In this paper, we introduce notions of regular ideals of a pseudocomplemented MS-algebra (PMS-algebra, for short) and study their elementary properies.

本文提出伪补MS-代数（简称PMS-代数）中正则理想，正则同余关系等概念。