研究了标度广义效应代数与标度效应代数的代数结构，给出了比较完整的结果。
The complete constructions of scale generalized effect algebras and scale effect algebras are studied in this paper.
另外，群体特性通过微分运算及其逆运算所得到的李代数的代数结构而得到了解释。
Lie's Theory Within the framework of Lie' Theory, we associate infinitesimal transformations making up a Lie algebra with finite operations which are obtained from the previous ones by exponentiation.
代数学,据约翰·德比夏尔所说,可以追溯到古巴比伦人留在楔形文字石碑上的简单的代数问题.
THE roots of algebra, asJohn Derbyshire tells us, go back to the ancient world: the Babylonians leftcuneiform tablets showing simple algebraic problems.
代数和线性代数(比如,矩阵).他们会在教完代数后立即教线性代数.这也简单,这但相当多的领域非常有用,包括机器学习.
They should teach Linear Algebra immediately after algebra. It's pretty easy, and it's amazingly useful in all sorts of domains, including machine learning.
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。
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).
假定Iw是产生可运行软件的迭代数值，I t是总的迭代数，跟前面的一样。
Where Iw is the number of iterations that produced working software and it is the total number of iterations, as before.
它体现了代数学中研究其他代数结构的基本思路。
It reflects the algebra in other algebraic structure of the basic idea.
类似于代数数据类型理论，本文提出了对象、对象类型及抽象对象类型的代数模型。
In analogy to algebraic data type theory, this paper proposed the mathematical model of objects, object types and abstract object types.
代数和线性代数(比如：矩阵)，他们会在教完代数后立即教线性代数。这也简单，但这在相当多的领域非常有用，包括机器学习。
Algebra and Linear algebra (i. e. matrices). They should teach Linear algebra immediately after algebra. It's pretty easy and it's amazingly useful in all sorts of domains including machine learning.
有限的对称布尔代数都是某个带有一个对合映射的集合x上的集合代数。
All finite symmetry Boolean algebra are set algebra of a certain set X, Which has a doubly mapping.
重点介绍了图像的代数特征抽取以及作者关于奇异值特征矢量作为图像的一种代数特征方面的研究工作。
The algebraic feature extraction of images and the authors' research work on singular value vectors as a kind of algebraic features of images are emphasized.
这门课程用的数学涉及到线性代数、机率论、代数、组合学和各式其他的相关领域。
The mathematical content of this course involves some linear algebra, probability theory, algebra, combinatorics and topics from a variety of other fields.
也考虑了在根与解的问越上代数方程与具有滞后的代数方程的等价性。
The equivalauce of roots and solutions between algebraic equation and algebraic equation with time lags is considered.
代数动力学方法便是求解该系统的一种有效方法。该方法利用系统的代数结构使系统按照动力学规律随时间演化。
Algebraic dynamical method is an effective method to deal with the dynamical evolution of such systems by making use of its algebraic structure.
文中给出了形态灰阶图象代数的基本定义、原理和基本图象处理操作，并且给出基于形态灰阶图象代数的一些灰阶图象变换操作。
The basic definitions and operators of this theory are given. In the end some grey scale image transformations based on the morphological grey scale image algebra are explained.
如果某些问题(比如代数和线性代数)一次又一次的出现，我就做些练习去确认我是否真正的理解它了。
If something comes up again and again (like algebra and linear algebra), then I'll start doing some exercises to make sure I really understand it.
文章结合代数曲线积分思想与活性边表技术，提出了一种新的任意多边形代数积分算法。
Based on the Curvilinear Integral and its sorted edge table, a new polygon fill algorithm is developed in the article.
CASS1是用代数化简方法设计的计算机代数系统。
The computer algebra system CASS1 is designed by algebraic simplification method.
结果证明时态关系代数运算与传统关系代数运算是相容的。
The conclusion is that the algebra operations of temporal relation and traditional relation are similituded.
最后一部分中，我们讨论左对称代数和李代数上的左对称结构在着色李超代数中进一步的推广。
In the last part, we further generalize left symmetric algebra and left symmetric structure on Lie algebras into Lie color algebras.
利用BCI -代数的固有理想这一概念，在BCI -代数中定义了一个同余关系，从而得到这个BCI -代数的固有商代数。
In a BCI-algebra, a congruence relation is defined by using its intrinsic ideal, thus the intrinsic quotient algebra of the BCI -algebra is obtained.
元微分算子代数的导子李代数结构。
Lie algebras of derivations of n-differential operator algebra.
该文证明了这样抽取的代数特征具有一些重要的代数和几何不变性。
This paper proved that this algebraic feature has some important properties of algebraic and geometric invariance.
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.
本文在对同态与模糊代数不加任何限制的情况下，证明了模糊代数的同态象仍是模糊代数。
In this paper we have proved, without any restriction, that homomorphic Images of fuzzy algebras form are fuzzy algebras.
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.
将原子及其分支的概念引入BZ -代数，并提出强BZ -代数的概念。
The notions of an atom and its branch in a BZ algebra are introduced in this paper.
将原子及其分支的概念引入BZ -代数，并提出强BZ -代数的概念。
The notions of an atom and its branch in a BZ algebra are introduced in this paper.
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