查询词典 involutory algebra

The study of lattice implication algebras On the basis of previous results of lattice implication algebras, we firstly studied some properties of implication filters, prime implication filters, maximal implication filters and ultrafilters. Then we laid stress on the study of two kinds of relatively general lattice implication algebras, i. e. complete and atomic lattice implication algebra and injective lattice implication algebra.

关于格蕴涵代数的研究本文在已有的格蕴涵代数研究结果基础上，首先研究了格蕴涵代数中蕴涵滤子、素蕴涵滤子、极大蕴涵滤子和超滤等的性质和相互的关系，然后重点较系统地研究了两类覆盖面较广的格蕴涵代数：完备的且原子的格蕴涵代数和内射的格蕴涵代数。

In chapter 3, the concepts of M-matrix and H-matrix over a commutative Banach algebra have been proposed, and some of their important properties and applications in linear systems over a commutative Banach algebra have been studied. For usual complex matrix, the Bellman inequality with Hadamard product has been proved.

第三章，提出了交换Banach代数上M一矩阵及H一矩阵的概念，研究了其一些重要性质，并给出了在交换Banach代数上线性系统中的应用；对有限维复矩阵，证明了关于 Hadamard乘积的 Bell.an不等式。

All real simple Malcev algebra,are classified according to whether or not they have a compatible complex structure and simultaneously we give all the invariant bilinear forms by the killing form of the real simple Malcev algebra or the killing form of it s complexification .

研究实单Malcev代数上的不变双线性型，仿照李代数的情形给出实Malcev代数上的容许复结构、实Malcev代数的复化以及Malcev代数上的不变双线性型等概念，并通过对实单Malcev代数上容许复结构的讨论，将实单Malcev代数上的不变双线性型分为两种情形。

The relationships among Boolean algebra,set algebra,logic,and binary arithmetic have given Boolean algebras a central role in the development of electronic digital computers.

由于布尔代数、集合代数、逻辑学和二进制算术之间有内在的联系，所以布尔代数的理论在电子数字计算机的开发研制中是很关键的。

The relationships among Boolean algebra, set algebra, logic, and binary arithmetic have given Boolean algebras a central role in the development of electronic digital computers.

由于布尔代数，集合代数，逻辑学和二进制算术之间的内在联系，使得布尔代数的理论在电子计算机的发展中起到举足轻重的作用。

Like ordinary algebra, Boolean algebra has its own unique identities based on the bivalent states of Boolean variables.

象普通代数，布尔代数具有基于布尔变量的二价规定的独特的特性。

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 T 的集合代数就对应一个有 32 个元素的布尔代数。

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

例如，上面定义的集合T的集合代数就对应于一个有32个元素的布尔代数。

We construct the Tai Chi algebra based on Boolean algebra for philosophical reflection and formal improvements.

我们建构的太极代数基于对其作哲学上的反思和形式上的改进。

Then we study the typical property of theirs form the starting of nature and constitute of the two types of Lie algebra, and we calculated separately their dimension, center, commutator algebra, Killing type, Cartan subalgebra, structure formula, root system, and so on.

本文主要研究了两类典型的李代数即李代数so*(2n)和g*，首先介绍了一些李代数的基本知识，并且给出了这两类李代数的组成结构，然后从这两类李代数的本质构成出发，研究它们的一些典型性质，分别讨论了它们的维数，中心，换位子代数，Killing型，Cartan子代数，结构公式，根系等。

However it can often be frust ating for a child when people are unable to pronounce their name.

但它往往可以令人沮丧的一个孩子当人们无法断言他们的名字。

All these compounds were obtained from this genus for the first time. Compound, 4-cumylphenol, was a new nature product.

所有化合物均为首次从本属海藻中分离得到，其中4cumylphenol为新天然产物。