算术和初等代数中普通的数通称纯量。
The ordinary numbers of arithmetic and elementary algebra are known as scalars.
本文试图用群的思想考察初等代数中的部分内容。
In this paper, we attempt to inspect partially the content of school algebra with the idea of group.
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。
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.
定理机器证明的研究已有将近50年的历史，并已经在数理逻辑、初等代数和几何学等学科取得显著成功。
There has been a lot of success in the study of automated theorem proving during the past 50 years.
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。
First, the matrix of elementary transformation in the use of advanced algebra in a very wide and easy to 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 discussed the matrix of elementary transformation in the higher elementary algebra linear algebra and number theory in wide 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。
This paper focuses on a matrix of elementary transformation in higher algebra, linear algebra and number theory in the elementary extensive use.
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。
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.
以初等变换为首要方法，解决线性代数中一类重要问题。
The primary transform is used to solve a lot of important questions, such as finding matrix inversion and standard form.
数学从萌芽时期开始，历经了初等数学时期、变量数学时期、近代数学时期和现代数学时期。人们已经从数学的内容、表现形式、作用等方面为研究数学的特点提供了框架。
People had already provided the frame for the research of mathematical characteristics from the aspects of the content, forms of expression, the role and the research procedure of mathematics.
还证明了很多有限次代数数域不与上述的超积初等等价。
Also, it is proved that many algebraic number fields of finite degree are not elementarily equivalent to the above-mentioned ultraproducts.
还证明了很多有限次代数数域不与上述的超积初等等价。
Also, it is proved that many algebraic number fields of finite degree are not elementarily equivalent to the above-mentioned ultraproducts.
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