元微分算子代数的导子李代数结构。
Lie algebras of derivations of n-differential operator algebra.
还研究了RNA二进制编码的代数结构。
The paper also investigates the algebraic structure of the binary digital coding of RNA.
然后研究支撑解系的特征、性质、代数结构。
Then we research the character, properties, and algebraic structure of supporting solution systems.
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.
本文研究了含幺可换环上一般线性李代数的子代数结构。
In this paper, we study the subalgebra structure of the general linear Lie algebras over commutative rings.
从而把姜豪的有限单BCK-代数结构定理完整地推广到无限的情形。
This extends totally the structure theorem of finite simple BCK algebras by Jiang Hao to the case of infinite simple BCK-algebras.
讨论近似空间中的孤点对其代数结构以及粗相等的清晰集刻画的影响。
The influences of isolated points on algebraic structure of approximate space and description of rough equality by crisp sets are discussed.
讨论特殊半对称联络的黎曼流形，给出了该流形曲率张量的一个代数结构。
In the present paper, the algebra property of Riemannian manifold which is contained some special semi symmetric connection is given.
本文的目的在于利用抽象代数结构来描述抽象数据类型并给出它的数学含义；
The goal of this paper is to specify abstract data type and provide its mathematical meaning by using algebra structure;
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.
结果表明代数动力学方法对于具有非半单李代数结构的线性动力系统仍然适用。
It has also been shown that the algebraic dynamics might be generalized from the linear dynamic system with a semi-simple Lie algebra to that with a general Lie algebra.
本文主要研究了等价关系的交并运算，建立了等价关系对于交并运算的代数结构。
This Paper study the intersection and union operations, with it establishes the algebraic structure of equivalence relations.
这些语言有些是代数结构的，有些是基于演算的，还有的是面向逻辑程序设计的。
Some of such query languages are based on algebra, some are based on calculations, others are based on logic programming.
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.
近代数学的一些学科，如代数结构理论与泛函分析可以在矩阵论中寻找到它们的根源。
Some subjects of modern mathematics, such as the algebraic structure theory and functional analysis, would be found in the Matrix theory.
不变矩多项式和不变矩多项式空间概念的引入，可以赋予不变矩多项式空间代数结构特征。
Also some concepts as moment invariants polynomial and moment invariants polynomial space were discussed so as to characterize its algebra structure.
对具有泛包络代数结构的量子力学控制系统，研究了泛包络代数的可扩张性和系统状态的定义域问题。
For quantum mechanical control systems with structures of universal enveloping algebras, the thesis studies the enlargability of the universal enveloping algebras and the domain problems.
在量子光学、凝聚态物理、原子分子物理中存在许多典型的具有三生成元李代数结构的量子系统或模型。
There exist a number of typical systems and models which possess the three generator Lie algebraic structure in quantum optics, atomic and molecular physics and condensed matter physics.
本文的理论基础是现代网络优化理论，其中包括图论、最优化方法、运筹学、离散数学及代数结构学。
The paper is theoretically based on modern network optimization, including graph theory, optimization, operation research, network management.
目的为研究拓扑bci代数的拓扑子代数、拓扑理想和拓扑同态的概念。试图在代数结构中嵌入拓扑结构。
AimTo study the notions of topological subalgebras, topological ideals and topological homomorphisms in topological BCI-algebras.
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.
当然，随着粗糙结构与代数结构、拓扑结构、序结构等各种结构的不断整合，必将不断涌现新的富有生机的数学分支。
Certainly, with integration of rough structure and algebra structure, topology structure, order structure and the other structure, some new vital mathematical branches will be emerged.
当然，随着粗糙结构与代数结构、拓扑结构、序结构等各种结构的不断整合，必将不断涌现出新的富有生机的数学分支。
Certainly, with the integration of rough structure and algebra structure, topology structure, order structure and the other structures, some new vital mathematical branches will be emerged.
本文给出了建立在含幺半群基础上的范畴语法的代数结构 ，定义了范畴方程和它的解并对范畴方程的解作了分类 ：相容性的相关性。
In this article, we showed the algebraic structure of syntactic categories based on monoid and defined categorial equation whose solutions are described by consistency and correlation .
李群机器学习(LML)既继承了流形学习的优点，又充分利用了李群的代数结构和几何结构的数学本质，自提出以来就引起了许多研究者的关注。
Lie group Machine learning (LML) inherit the advantages of manifold learning method and make full use of the Lie group's structure of algebraic and geometry in mathematics.
基于S-P网络中P置换的重要性和加解密的一致性，本文提出了对合型列混合变换的概念，并对其代数结构、枝数和计数问题进行了深入地研究和分析。
Based on the importance of P transform and coherence in encryption-decryption in the S-P networks, we put forward the definition of involution-typed mixcolumn transform.
本文中，我们采用概率事件结构作为语义模型，研究了概率进程代数的度量指称语义。
In this paper, we take probabilistic event structures as our semantic model and provide a metric denotational semantics for probabilistic process algebra.
事件结构是一种十分重要的真并发模型，非常适合于为进程代数提供一种具有可组合性的真并发语义。
Event structures are important true concurrent models and are well-suited to provide a true concurrent semantics for process algebra in a compositional way.
他研究的几何在数学上叫做(李代数)E8结构。这个结构在1887年首先被挪威数学家SophusLie发现。
The geometry he has been studying is that of a structure known to mathematicians as E8, which was first recognised in 1887 by Sophus Lie, a Norwegian mathematician.
他研究的几何在数学上叫做(李代数)E8结构。这个结构在1887年首先被挪威数学家SophusLie发现。
The geometry he has been studying is that of a structure known to mathematicians as E8, which was first recognised in 1887 by Sophus Lie, a Norwegian mathematician.
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