本文讨论了关于泛代数的几个问题，特别是引进了泛代数中的一些基数函数。
In this paper the author has discussed several questions on universal, especially introduced some functions on cardinal numbers in universal algebras and made some discussions on them.
在一元泛代数上引入了双同余关系，从而使双同态映射与双同构映射得到了沟通。
In this paper we have given the concept of double-congruence, by which the concepts of double-homomorphism and double-isomorphism in a unary algebra are linked together.
本文中，我们证明了作为泛代数的半格的定义与作为偏序集的半格的定义是等价的。
In this paper, we proved that the definition of a semilattice as a universal algebra and the definition of a semilattice as a partial ordered set are equivalent.
以泛布尔代数理论为依据，以城市主干道十字路口为研究对象，设计了一种新的交通灯逻辑控制模型。
Pan Boolean algebra-based logical control model of the traffic light is designed in this paper, with an illustration of crossroads in the urban trunk roads.
针对多纸种造纸机纸页定量控制系统的特点，提出了一种基于泛布尔代数的自整定pid控制方法。
A method of auto tuning parameters for PID controller based on the Pan Boolean algebra is introduced according to its parameters which affect the performance of the PID controller.
对具有泛包络代数结构的量子力学控制系统，研究了泛包络代数的可扩张性和系统状态的定义域问题。
For quantum mechanical control systems with structures of universal enveloping algebras, the thesis studies the enlargability of the universal enveloping algebras and the domain problems.
本文介绍了泛布尔代数的数学模型、公理体系和化简方法；
This paper introduces the mathematics model, axiom system and simplified method of the Panboolean alegara.
目前，非线性泛函分析已经成为现代数学中的一个重要分支。
At present, nonlinear functional analysis has been one of the most important branch of learning in modern mathematics.
讨论了偏序线性空间的代数对偶空间上的端单调线性泛函的延拓性。
In this paper, our aim is to discuss the extension of an extremal monotonic linear functional in the algebraic dual space of a partially ordered linear space.
泛函分析和算子代数；量子化方法和路径积分；变分技术。
Functional Analysis and Operator Algebras; Quantization Methods and Path Integration; Variational Techniques.
近代数学的一些学科，如代数结构理论与泛函分析可以在矩阵论中寻找到它们的根源。
Some subjects of modern mathematics, such as the algebraic structure theory and functional analysis, would be found in the Matrix theory.
近代数学的一些学科，如代数结构理论与泛函分析可以在矩阵论中寻找到它们的根源。
Some subjects of modern mathematics, such as the algebraic structure theory and functional analysis, would be found in the Matrix theory.
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