查询词典 algebra system

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

它们对应的一般代数分别是正则双Stone代数、预粗代数和半简单Nelson代数。

AF C*-algebra is the self-adjoint limit algebra, so it has relatively complex structure.

AF代数是自伴的极限代数，因而结构比较复杂。

For example, the set algebra for the set T defined above corresponds to a Boolean algebra of 32 elements.

例如，上文定义的集合的个元素集合代数就对应一个有32个元素的布尔代数个元素的布尔代数。

High School: Algebra, Geometry, Advanced Algebra, Trigonometry, Pre-Calculus conics and limits

高中：代数，几何，高等代数，三角学，微积分先修课二次曲线论和极限

High School: Algebra, Geometry, Advanced Algebra, Trigonometry, Pre-Calculus

高中：代数，几何，高等代数，三角学，？圆锥和极限

In chapter 1, we introduce the notions of the approximately 2-local automorphisms, the approximately local Hilbert space representations and the approximately 2- local Hilbert space representations;We prove that every surjective and multiplicative approximately local *-automorphisms of a C*- algebra with a unique faithful tracial state is *-automorphisms;surjective approximately 2- local *- automorphisms of C*-algebra with unique faithful tracial states are Jordan *- automorphisms;Surjective approximately 2- local *- automorphisms of a finit factor are *-automorphisms;Approximately 2- local *- automorphisms of M_n are *-automorphisms.

第一章定义了近似2—局部自同构，近似局部表示，近似2—局部表示；证明了有唯一忠实迹态的C~*-代数上的满可乘近似局部*—自同构是*—自同构，满近似2—局部*—自同构是Jordan *—自同构，有限因子上的满近似2—局部*—自同构是*—自同构，以及矩阵代数M_n上的近似2—局部*—自同构是*—自同构。

The concept of congruence is an important content of the universal algebra and congruences play a fundamental role in defining the structure and properties of the universal algebra.

同余是泛代数的重要研究内容，泛代数上的同余在一定意义上能够刻画和确定泛代数的结构和性质。

The verification theories and algorithms of value-passing CCS and the π-calculus bisimulation equivalences are the hot point of research in the area of process algebra, and the critical step for the application of process algebra in practice.

传值CCS和π-演算互模拟等价的验证理论和算法是进程代数领域的研究热点，也是使进程代数从理论研究走向实际应用的关键环节。

The following exciting results are revealed: 1 When considering the influence of some nonlinear elements such as hard-limit of exciters, the effects of some devices such as Power System Stabilizer and Static Var Compensator which can introduce positive damping in power system, the reasonability of system parameter values in simulation, the SNB surface and HB surface on the boundary of SSSR will turn close to each other and even coalesce together; 2 Under some conditions, coupling between slow exciters and shunt capacitors will bring negative damping in power system dynamics, which increases the possibility of oscillatory instability. So the power system with mass shunt compensators is easily subjected to the oscillatory instability. In recent years, chaotic phenomena of power system have been reported many times. Some simulation studies even found chaos existing inside the power system SSSR. In this dissertation, chaotic phenomena in power systems are thoroughly studied in order to make clear the relation of chaos and SSSR. The following results are derived: 1 Based on Li-Yorke Theorem and their definition on the chaos, the existence of chaos in power system is verified; 2 Three possible routes of causing chaos in power system are found and deeply investigated. They are route of cascading period doubling, route of directly initial energizing and route of torus bifurcation (or quasi-periodicity). The latter two routes are investigated for the first time in power system stability studies; 3 When the stability conditions of chaos are broken, it is found they can lead to voltage collapse, angle divergence, or voltage collapse with angle divergence simultaneously.

针对在电力系统小扰动稳定区域内可能存在混沌吸引域的有关报道，本文深入研究了电力系统混沌现象的出现途径和与系统失稳模式之间的关系：1利用Li-Yorke定理和Li-Yorke的混沌定义，从理论上证明了电力系统混沌现象的存在性；2发现了电力系统中导致混沌出现的三种可能途径：倍周期分岔导致混沌、初始能量直接激发混沌和经由环面分岔导致混沌，并对后两种新发现的途径进行了较为细致的研究；3发现了混沌极限环破裂导致电压崩溃、角度失稳以及电压崩溃和角度失稳同时出现的现象，其中混沌极限环破裂导致系统角度失稳和电压崩溃及角度失稳同时出现的现象均属首次报道；4证明由微分-代数方程描述的系统模型，其小扰动稳定域的边界只包含HB、SNB和SIB三种分岔界面，在SSSR的内部和边界上，均不可能存在会导致混沌的点，从而将混沌现象排除在小扰动稳定域的研究之外，简化了后者的研究工作。

Factory remaining hot water, remaining vapor and boiler heating system, were adopted in tilapia overwintering. Every step, such as site selection, pond and fish preparation, cultivation of fish, fish selection, timing of overwintering, stocking density and managements during overwintering, was compared among three systems. The results of data analysis showed that the survival rate in remaining hot water system was 12% higher than in remaining vapor system and 21.25% higher than in boiler heating system. The overwintering cost in remaining hot water system was 735 Yuan/m~3, which was 18 Yuan lower than in remaining vapor system and 71.4 Yuan lower than in boiler heating system. The profit in remaining hot water system was 201 Yuan/m~3, which was 162 Yuan higher than in remaining vapor system and 275.4 Yuan higher than in boiler heating system.

本论文采取了余热水、余热气、锅炉加温三种方式对进行罗非鱼越冬保种，从地点选择、越冬池、鱼的准备、越冬苗种的培育、越冬前催肥、越冬鱼的选留、越冬鱼进池时间和密度、越冬期间饲养管理等环节进行对比试验获得了三种方式的试验数据并进行了分析讨论，结果显示：余热水越冬雌亲鱼的成活率比余热气越冬高出12％、比锅炉加温越冬高出21.25％；余热水越冬雌亲鱼的成本每立方米为735元比余热气越冬的成本每立方米低18元、比锅炉加温越冬的成本每立方米低71.4元；余热水越冬雌亲鱼的利润每立方米为201元比余热气越冬的利润每立方米高162元、比锅炉加温越冬的利润每立方米高275.4元。

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。