查询词典 quaternion algebra

In this paper, we discuss effect algebra and related topics. The main results are the following:1. Effect algebra is a commutative algebraic structure. To get a non-commutative algebraic structure.we introduced the concepts of left difference and right difference, and we also introduced the concept of the Bi-difference sets, the concept of pseudo-difference poset, and proved that pseudo-difference poset is equivalent to pseudo-effect algebra.

效应代数描述的是具有交换性的量子系统，我们借助于差运算的思想研究了不可交换的量子逻辑结构，建立了左差、右差、伪差偏序集、双差集等概念，证明了伪差偏序集与伪效应代数等价，并得到了双差集的幺半群表示定理。

Software Description: About Personal Algebra Tutor, Enter your problems into this algebra problem solver to view step-by-step solutions and explanationsto basic algebra through pre-calculus problems.

Personal Algebra Tutor 输入你的难题到这款代数题解答器观看分步式答案以及贯穿学习微积分前必修课程的注释说明。

In third part, I discussed R0 algebra in two different aspect:(1) Defined Boole element in R0 algebra. Gave the properties of Boole element and distributive rules of Boole element about finite R0 algebra. Study the filter and the stone filter of L are filters of M.

元的分布规律：研究了民代数M的滤子和民代数M作为有界分配格（记这个有界分配格为L（MO 的滤子之间的关系，得出结论：L的极小素滤子以及 L的 Stone滤子都是 M的滤子，但 L的滤子一般不必是M的滤子。

Basing on the famous Schur theorem on real quaternion division algebra and the operation of matrix, some properties and judging criterions of skew self-conjugate matrix are obtained. Several theorems about characteristic value, similar decomposition and real expression of skew self- conjugate matrix are gained.

借助四元数体上的Schur三角分解定理和体上矩阵的运算，得到了斜自共轭矩阵的一些性质及判定准则，获得了斜自共轭矩阵的实表示、相似分解以及特征值的几个定理。

In this note, we show that for any two matrices A and B over a generalized quaternion algebra defined on an arbitrary field F of characteristic not equal to two, if A and B are similar and the main diagonal elements of A and B are in F, then their traces are equal.

本文对于特征不是2的任意域F上定义的广义四元数代数上的两个矩阵A和B，给出如果A和B相似并且它们的主对角线上的元素在F中，那么它们的迹相等。

In this note, we show that for any two matrices $A$ and $B$ over a generalized quaternion algebra defined on an arbitrary field ${\bf F}$ of characteristic not equal to two, if $A$ and $B$ are similar and the main diagonal elements of $A$ and $B$ are in $\bf F$, then their traces are equal.

本文对于特征不是2的任意域${\bf F}$上定义的广义四元数代数上的两个矩阵$A$和$B$，给出如果$A$和$B$相似并且它们的主对角线上的元素在${\bf F}$中，那么它们的迹相等。

Computer; mathematical problems; Mizar project; quaternion numbers; algebra structure

计算机；数学问题； Mizar系统；四元数；代数结构

Because of Its wide-ranging connection with many applied science, such as the quantum physics, geostatic, the figure and pattern recognition and the space telemetry and so forth, the research in quaternion algebra is valuabe.

四元数在众多的应用问题中存在广泛的联系，如四元数在量子力学，刚体力学方面的应用，在计算机图形图像处理和识别方面的应用，在空间定位方面的应用等。

Quaternion is applied widely in many domains, such as algebra, geometry, physics, engineering and so on.

四元数在代数学，几何学，物理学，工程技术等方面有着广泛和重要的应用。

From the view of the number of composition series and table subset of order or elementary abelian table algebra is depicted by making use of fundamental theorem on homomorphism of table algebra.

分别从合成列及表基的p阶、阶表子集的数目角度刻画了初等abelian表代数。

Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式，通过36个有趣的填孔迷你的三维设计的课程，以提升绿党，掩体，桥梁和水的危害，除其他疯狂的障碍。

Some participles can be used either as attributes or as predicatives.

有些分词既可当定语用，也可当表语用。