The adjoint algebra of a partial order set ( X;≤) is studied, and the author points out that all adjoint algebra of a partial order set are automorphism. 研究了偏序集(X;≤)的伴随代数;
Last, a necessary and sufficient condition of a partial ordered set I to be a lattice is given by the algebra properties of KI. 最后,用偏序集代数KI的代数性质,给出偏序集I是格的充分必要条件。
Composite field theory and vector meson dominance ( vmd), partial conservation of axial vector current ( pcac), field-current identity and some problems of current algebra 复合场场论和矢量为主(VMD)、赝矢流近似守恒(PCAC)、场流关系以及流代数的一些问题
This paper gives the probabilistic interpretation for one system of the second order quasilinear parabolic partial differential equations combined with an algebra equation using fully coupled forward-backward stochastic differential equation. 本文利用完全耦合的正倒向随机微分方程,对一类耦合了一个代数方程的二阶拟线性抛物型偏微分方程系统,给出概率表示。
We derive the theory of vector meson dominance, partial conservation of axial vector current, field-current identity and the combined algebra of field and current with the application of the composite field theory. 本文应用复合场场论导出矢量为主、赝矢流近似守恒和一系列新的场流关系,以及场流组合的代数。
Let Sn ( F) be the n x n symmetry matrix algebra over the field with| F|> 2. A partial ordering on matrix algebra is difined. 令Sn(F)是元素个数大于3的域F上的n×n对称矩阵代数。
Without the partial ordering relation and ordering structure, a conversant algebra system Boolean algebra is analyzed with a new point of view in this paper, which makes most concepts in discrete mathematical being understood more deeply. 在不涉及偏序关系和序结构的前提下,用一种新的观点剖析了一个熟悉的代数系统&布尔代数,加深了离散数学中代数系统的有关概念的理解和认识。
The FEM is a method of which transform the partial differential-coefficient equation's initial and boundary value issue to ordinary differential-coefficient equation's initial and boundary value problem ( after space disperse) or a set of regular algebra equation. 有限元法在数学上是将偏微分方程的初边值问题划归一组常微分方程的初值问题(在空间离散化之后)或一组规则代数方程。
General Term-shifting Rules of the Partial Sequence Relation in Boole Algebra 布尔代数中偏序关系的泛移项法则
The construction of exact solutions of nonlinear partial differential equations is a significant problem in studying of differential equations and computer algebra. 通过构造性方法去求出非线性偏微分方程的精确解是微分方程和计机代数学研究的核心内容。
The k-Hessian equation is a kind of very complicated fully nonlinear partial differential equation when k ≥ 2. It is a hard job to study the equation which need a wide knowledge, such as geometry, algebra, analysis, partial differential equations and so on. 当k≥2时,k-Hessian方程是一类复杂的完全非线性方程,对它的研究又是很有挑战的,需要深入了解几何,代数,分析,偏微分方程等各个领域的知识。
The properties of implication algebra on partial ordered set and associated implication algebra are deeper discussed, several sufficient and necessary conditions, by which implication algebra becomes associated implication algebra, are obtained. 进一步挖掘偏序集上蕴涵代数与关联蕴涵代数的性质,得到了蕴涵代数成为关联蕴涵代数的几个充分必要条件。