查询词典 interval algebra

In Reference [3], Cao and Tan described the automorphisms of Lie algebra of the strictly upper triangular matrices over R which is a maximal nilpotent subalgebra of the A_n type classical simple Lie algebra.

在参考文献[3]中，曹和谭把由所有严格上三角矩阵所构成的李代数的自同构问题已经完整的解决了，而这样的李代数恰好就是A_n型李代数的一个极大幂零子代数。

For the simplest interactive system of two particles with spin 1/2,the operator of Lie algebra can only realize the transition among the triplets, however, in order to realize the transition between the triplets and the singlet, the operators of Yangian must be involved, that is ,Yangian goes beyond Lie algebra in Quantum Mechanics.

对于最简单的两个-1/2的耦合系统，李代数生成元只能实现其自旋三重态之间的跃迁，而要实现三重态和单态之间的跃迁，必须由Yangian代数中的J 算子所引起，即 J 成为量子力学中超越李代数生成元的算子。

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。

This paper introduces and investigates the filter theory of pseudo NM algebra. The notions of filters, generated filters, normal filters and prime filters etc. are defined. Their basic properties are investigated, with the structures of generated filters obtained. We show that prime filters and irreducible filters are equivalent, and that maximum filters must be prime filters. The prime filter theorem of pseudo NM algebra and its some corollaries are established.

引入了伪NM代数的滤子理论，定义了滤子、生成滤子、正规滤子和素滤子等概念，研究了它们的特征性质，给出了生成滤子的结构，证明了在伪NM代数中素滤子与不可约滤子等价以及极大滤子必是素滤子，建立了伪NM代数的素滤子定理及其推论。

In the frame of deformation quantization, one deals with functions on the phase space, and the star product deforms the commutative classical algebra of observables into the noncommutative quantum algebra of observables.

在变形量子化理论中，物理量依然是函数形式，坐标以及动量的非对易性均体现在函数之间的乘积上。

A quotient algebra of FI-algebra is established, whose properties are carefully studied.

给出了FI代数的简单性质及理想概念，建立了FI代数的商代数，并研究了商代数的性质，得到了一些重要的结

At last,it's proved that the equivalent class of sharp element is sharp element in the quotient algebra of a weak commutative pseudoeffect algebra gotten by normal Riesz ideals.

讨论了弱可换的伪效应代数商代数中可精确测量元与正规Riesz理想之间的关系。

It is shown that a fuzzy subset of a BCI algebra is an FSI ideal if and only if it is both an FSC ideal and a fuzzy BCI positive implicative ideal.2. A new class of quotient BCK/BCI algebras and a new class of bounded quotient BCK algebra are constructed, respectively. By investigating their applications, it is shown that these quotient structures are more reasonable than ever before and possess good properties.

构造了一类新的商BCK／BCI代数和一类新的有界商BCK代数，利用这种构造，各类型商BCK／BCI代数可以被相应的Fuzzy理想／滤子完全刻画，以往的商构造被Fuzzy理想／滤子刻画时只有充分条件而没有必要条件，因此新构造弥补了以往构造的不足，比以往的构造更加合理。

First,we give some basic concepts of restricted Lie color algebra,for example,p-subalgebra,p-idea and p-nilpotent Lie color algebra.

然后，我们得到限制李color代数的Frattini子代数和Frattini p-子代数的基本性质并证得可解限制李color代数的Frattini子代数和Frattini p-子代数是两个幂零理想。

It including the pitch point electric current equation andthe return route voltage equation two parts, former pointed out that,regarding any pitch point (3 or 3 above legs points of intersection),flows in and flows out the pitch point various electric currents algebra and is zero, this is the constant condition request, latter pointed out, regarding any closed path, each part of loss of voltage algebra and is zero, this is the electrostatic field ring circuit theorem result, two constituted the complete system of equations.

它包括沥青点电流方程强大的回路电压方程由两部分组成，前者指出，对于任何节点（ 3层或3条以上的腿分的交汇点），流入和流出草地点不同电流代数和是为零，这是恒定的条件要求，后者指出，对于任何封闭道路，每部分的损失电压代数和为零，这是静电场的环形电路定理的结果，构成了两个完整的系统方程式。

The two-acre Dunbar Community Garden in Little Rock has served as a model for several years.

几年来，坐落于小石城，占地两英亩的邓巴社区菜园树立了一个标杆。

Jerry points to the jacket hanging in the bathroom. It's ruined, and unwearable What?

杰瑞指着洗手间里挂着的夹克，毁了，不能穿了）什么？