查询词典 Jordan algebra

The fourth had reading, writing, dictation and elementary arithmetic; the third, reading, grammar, arithmetic and geography; the second, reading and grammar, arithmetic, algebra through simple equations, and geography with map-drawing; and the first finished Loomis' Treatise on Algebra, studied four books of Loomis' Geometry, and parts of Swinton's Universal History and read selections from Addison.

第四班级授以阅读、写作、听写与初级算术，三班授以阅读、语法、算术与地理，二班为阅读、语法、算术、线性代数及绘图地理，一班则为卢米兹代数终论，卢米兹几何四部，史云顿寰宇历史，及阿狄森（Joseph Addison十八世纪英国著名作家）文选。

In Kac-Moody algebra, if the given element is a real root vector or in Cartari subalgebra, there exists an element such that they can generate the algebra.

在Kac-Moody代数中，如果预先给定的元素属于Cartan子代数或者是实根向量，能够找到它的配对生成元。

It is shown that if L is a subalgebra of a Lie color algebra Q, then Q is an algebra of quotients of L if and only if Q is ideally absorbed into L.

利用没有非零零化子的理想对Lie color代数的商代数进行刻画，证明了：若L为Lie color代数Q的子代数，则Q为L的商代数当且仅当Q理想吸收于L。

And there is a natural graded B-algebra isomophism〓.where n is the subvariety of all the ad-nilpotent elements in the Lie algebra of B.

并且存在分次B-代数同构〓5这里n是B的Lie代数中伴随幂零元全体。

The algebra of quaternions, the first noncommutative algebra was thus sudd ly born.

四元数的代数，第一非交换的代数，就这样在一夜之间诞生了。

Tensor of the dual space and in the "Linear Algebra"(version 2) At the same time to explain, which is "Linear Algebra"(version 2) is a major feature.

对偶空间和张量在《线性代数》(第2版)同时讲解，这也是《线性代数》(第2版)的一大特色。

The global dimension of a connected graded algebra equals to the global dimension of it viewed as a DG algebra with zero differential.

任意一个连通分次代数，如果将它视为微分为0的连通DG代数，其左整体维数与其作为连通分次代数的整体维数是一致的。

Introduced Fan Boolean Algebra theory as a whole, after analyzing and studying of it, concluded that: the characteristic of Fan Boolean Algebra has determined that it can solve the extant problem of Data Mining to a certain extent, for example, it can guarantee the result after data mining to be usable , assured and construable;can solve the problems about expression difficulty of complicated concept, correlation of attributes emphasized incompletely and redundant examining;it can set up the unified model of Fan Boolean in a certain system;and it can promote the developmental research of new decision support system.

对泛布尔代数进行总体介绍，在分析和研究它的理论体系后，概括出：它的特性决定了它能在一定程度上解决数据挖掘的现存问题，比如可以保证数据挖掘结果的可用性、确定性及可解释性，可以解决复杂概念表达困难、属性间的相互关系强调不够、重复检验等问题；能就某一系统建立统一的泛布尔模型；并促进新型决策支持系统的开发研究，并对泛布尔代数与数据挖掘相结合的原理展开论述。

Especially, by use of the new point, the concept of atom is defined from which the essential implications of atom and nonseparation are brought in, and Stone theorem of finite Boolean algebra is extended to alleged atomic algebra.

特别本文用新的观点给出了&原子&的定义，这个定义给出了&原子&的&不可再分&的本来含义，并且将有限布尔代数的Stone定理推广到所谓原子代数中去。

Based on the knowledge of real f -algebra, the important properties of semi and unital complex f -algebra are studied.

以实f-代数的理论作为基础，主要讨论了半素和有单位元的复f-代数的重要性质。

Methods Clinical data of 3 cases of bile duct injury during laparoscopic cholecystectomy were analyzed retrospectively.

回顾总结3例LC术中胆管损伤的临床资料，分析3例胆管损伤的原因及对策。

These techniques are applied to the gobang.

本文将这些技术用于五子棋中。