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1·This paper characterizes symmetric ternary cellular automata (CA -3) with the help of matrix algebra.

本文提出对称三值系统中的元胞自动机(CA - 3)的特征化表示方法。

2·The planar components and straight line components of the quadric surfaces intersections are studied precisely by means of matrix algebra in this paper.

本文利用特征多项式方程使得二次曲面交线的平面曲线分支的求解简化成平面与二次曲面求交问题。

3·Moreover, a fuzzy inference mechanism was developed to form the core of fuzzy expert system frame, which could be realized through linear fuzzy matrix algebra.

此外，还开发了用以形成模糊专家系统框架核心的推理机制，并通过线性模糊矩阵代数运算予以实现。

4·For homotopic interaction, the saturation curve, molecular conformation vs ligand curve and certain correlation functions etc. are obtained by means of pure matrix algebra.

对于等同配位体的相互作用，以纯矩阵代数方法，得到饱和曲线，分子构象-配位体曲线以及某些关连函数等等。

5·It is theoretically important to solve the problems of decomposition of automorphisms of solvable subalgebra and nilpotent subalgebra of matrix algebra over commutative rings.

交换环上矩阵代数的可解子代数和幂零子代数的自同构分解问题是一类重要的具有理论意义的研究课题。

6·The eight-vecter algebra is found in the paper, as a kind of square matrix algebra and as more complete operation system containing the complex number vecter algebra and quaternion numbers.

本文建立了八元向量代数，它既是一种方阵代数，又作为一个更加完备的运算系统而包含了复数、矢量和四元数。

7·It runs on a variety of computer systems and is especially good at arithmetic involving arbitrary-length integers and fractions, graphics, and matrix and polynomial algebra.

它在各种各样的计算机系统上运行，尤其擅长于涉及任意长度整数和小数、图、矩阵和多项式代数的算术。

8·Even though two-dimensional arrays are similar to matrices from linear algebra, operations (such as multiply) have nothing to do with the operations in linear algebra (such as matrix multiplication).

虽然二维数组与线性代数中的矩阵类似，但是对它们的操作(比如乘)与线性代数中的操作(比如矩阵乘)是完全不同的。

9·So the third... the algebra way of looking the problem is the matrix form, in using a matrix that I'll call it a.

所以第三…用代数的方法审视这个问题是使用我称之为a的矩阵表示的矩阵表格。

10·Finally, the equivalence properties between Boolean matrix representation and algebra representation of attribute reduction are proved.

最后证明了属性约简在布尔矩阵和代数两种不同表示下是等价的。