查询词典 multiple algebra

The quantum deformation of a Lie algebra is obtained by adding one parameter q,which is reduced to the original Lie algebra when taking the limit q→1;some properties of the original Lie algebra remain.

在Hopf代数或量子群理论中，构造李双代数的量子化是产生新的量子群的一个十分重要方法，研究李双代数的重要目的之一就是对其量子化。

According to the rough structure and algebra structure, the main work is to study the application of rough set theory on algebra system-groups and rings in this thesis. So that rough algebra system is built better perfectly.

本文根据粗糙结构和代数结构，研究了粗糙集理论在代数系统——群、环上的应用，以此建立比较完善的粗糙代数系统。

In this paper,the main work is to extended the premitive model of rough sets;Accorting to the Rough structure and algebra structure,the main work is to study the application of rough set theory on algebra system-group,so that rough algebra system is better perfectly.

本文在现有的Pawlak粗糙集模型基础上，对模型进行推广；根据粗糙结构和代数结构及已有的研究成果的基础上，更进一步地研究了粗糙集理论在代数系统一群上的应用，以此建立较为完善的粗糙代数系统。

First of all, the dissertation proves that the three structures are pairwisely isomorphic—the Boolean Algebra formed by the value range topological space, the Boolean Algebra by knowledge nodes, and the Boolean Algebra by data sub-classes. Thus the essential relations between the three Boolean Algebras are constructed. Furthermore, The three structures have the same multiplying mechanism.

首先，论文从理论上证明了由数值域拓扑空间形成的布尔代数、由知识结点集形成的布尔代数、和由数据子类结构集形成的布尔代数在结构上有两两同构的关系，从而建立了了这三者在本质上的联系，并且论证了它们具有相同的"繁衍"机制。

Keywords: Groebner basis; regular point; two-point algebra; radical square zero algebra; wild algebra

中文关键词： Groebner基；正则点；两点代数；根方零代数；野代数

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。

A multi-channel representation of the input image was obtained by a bank of Gabor filters, corresponding to multiple scales and multiple orientations. Full-wave rectification of each channel and contrast gain control among the channels were performed sequentially to get orientation feature maps with multiple scales and multiple orientations.

从输入图像出发，采用Gabor算子建立多尺度、多方位的多通道图像，通过全波整流和各通道间的对比度增益控制，得到多尺度、多方位的方位特征图，这些特征图的线性组合则为显著性图。

In real flight, multiple sensors of aircraft engine control system may fault at a time. In order to solve this problem, a revised multiple-failure-hypothesis based testing is investigated. This approach uses multiple Kalman filters, and each of Kalman filter is designed based on a specific hypothesis for detecting specific sensors fault, and then uses WSSR (Weighted Sum of Squared Residual) to deal with Kalman filter residuals, and residual signals are compared with threshold in order to make fault detection decisions. The simulation results show that the proposed method can be used to detect multiple sensors soft failures fast and accurately.

一般认为两个以上传感器同时发生故障的概率较小，但实际上不能排除其发生的可能性；提出了一种改进的多重故障假设方法来解决航空发动机控制系统多传感器同时发生软故障的问题，这一方法采用一组卡尔曼滤波器，每个滤波器对应一个被检测传感器的故障模态；采用残差加权二乘方处理滤波残差并与门限值作比较来判断是否发生故障；仿真结果表明，所提出的方法能有效解决多传感器软故障的检测与隔离问题。

The French are not suggesting a new EU treaty, but they have plenty of other wheezes.

法国人并不是在建议签署一个新的欧盟条约，但他们有许多其他的阴谋。

This letter was written by my brother.

这封信是我弟弟写的。