查询词典 propositional algebra

Secondly, for the spascial AF C* algebra-UHF algebra, I study the linear characterization of 2-local isometry on it: make use of the frame attribute, find the trace state of UHF algebra according to the one of matrix algebra and verify the 2-local isometry is linear.

充分利用UHF代数的结构特点，利用矩阵代数的迹态找到UHF代数的迹态，从而证明了2-局部等距的线性性质。

Some other conditions which the implicative operator of a Implication Algebra should satisfied in a logic system are given. The relations between MV-Algebra and Distributive Implication Algebra, Implication Algebra with condition are gained.

对于偏序集上蕴涵代数中的蕴涵算子引入了一些逻辑条件，得到了偏序集上具有不同条件的蕴涵代数与MV-代数之间的关系，给出了偏序集上蕴涵代数与MV代数之间的几个等价定理。

By utilizing the concepts and methods developed in Algebra Topology,Algebra Geometry and Algebra Representations,we first depicted the concepts and results of Incidence Algebra which reflects the linear structure of underlying posets and Sheaf theory which reflects the topological structure of underlying poset in the framework of Category Theory.

本文综合运用了代数拓扑、代数几何及代数表示论里发展起来的概念与方法，首先在范畴的框架下，对和偏序集的线性结构密切相关的Incidence代数，及与偏序集的拓扑结构紧密联系的层，进行了刻画。

Explicitly, they are consist of three classes: If H is semisimple, then H k* for some finite group; If H is not semisimple and the characteristic of k is zero, then H is isomorphic the dual of the cross product between one so called Andruskiewitsch-Schneider algebra and a group algebra; If H is not semisimple and the characteristic of k is not zero, then H is isomorphic the dual of the cross product between one special algebra and a group algebra.

具体地讲，它们共(来源：5fbfA02BC论文网www.abclunwen.com)分三类：①如果H是半单的，则H同构与一个群代数的对偶；②如果H是非半单的并且基础域的特征是0的话，则H同构一个所谓Andruskiewitsch-Schneider代数与一个群代数交差积的对偶；③如果H是非半单的并且基础域的特征不是0的话，则H同构于某个特定代数与一个群代数交差积的对偶。

We study the properties of $BR_0$-algebra and the total complication triple I method on complete $BR_0$-algebra, and we apply the results to $R_0$-Unite interval $\overline{W}$. Not only we have simplified the proof of the results of $R_0$-type triple I method on $R_0$-Unite interval $\overline{W}$, but also we make the proof to combine with the formal deductive system for fuzzy propositional calculus. This work also explains that the $R_0$-type triple I method is a matching fuzzy inference with $B{\cal L}^*$ system.

研究了基础$BR_0$-代数的性质和基于完备基础$BR_0$-代数的全蕴涵三I算法，对一般蕴涵算子给出了三I算法解存在的一个充分条件，并将结果应用于$R_0$-单位区间$\overline{W}$，不但极大的简化了$R_0$-单位区间$\overline{W}$的$R_0$-型$\alpha$-三I算法结果的证明，而且使其证明过程与相应的模糊命题演算系统结合起来，说明了$R_0$-型三I算法是与$B{\cal L}^*$系统相匹配的模糊推理方法。

We study the properties of BR0-algebra and the total complication triple I method on complete BR0-algebra, and we apply the results to R0-Unite interval W. Not only we have simplified the proof of the results of R0-type triple I method on R0-Unite interval W, but also we make the proof to combine with the formal deductive system for fuzzy propositional calculus. This work also explains that the R0-type triple I method is a matching fuzzy inference with B?

研究了基础BR0-代数的性质和基于完备基础BR0-代数的全蕴涵三I算法，对—般蕴涵算子给出了三I算法解存在的—个充分条件，并将结果应用于R0-单位区间W，不但极大的简化了R0-单位区间W的R0-型α-三I算法结果的证明，而且使其证明过程与相应的模糊命题演算系统结合起来，说明了R0-型三I算法是与B？

The course contains four sections as follows: mathematical logic (including basic concepts of propositional logic and predicate logic, propositional calculuses and inference theories), set theory (including set algebras, relations, functions and cardinal numbers), algebraic structure (including algebraic systems, semigroups and groups, rings and fields, lattices and Boolean algebras), graph theory (including basic concepts of graph, Euler graphs and Hamiltonian graphs, trees, planar graphs and coloring graphs, some special vertex subsets and edge subsets).

本课程包含四部分内容：数理逻辑（包含命题逻辑与一阶逻辑的基本概念、等值演算以及推理理论），集合论（包含集合代数、二元关系、函数和基数），代数结构（包含代数系统、半群与群、环与域、格与布尔代数），图论（包含图的基本概念、欧拉图与哈密顿图、树、平面图及图的着色、图的某些特殊的顶点子集与边子集）。

But the content of a situated thought cannot be fully captured as propositional content: the content as delivered by the situatedness of the thinker essentially extends beyond anything that the mere propositional construal of the content can deliver.27 Because of this, although the over-all form of a transcendental argument might seem to be of a deductively valid argument e.g.

但是a situated thought的内容不能被完全把握为命题内容：内容作为被思者的situatedness给出，本质上超出了对纯粹的命题解释所能给出的内容。

Using the infinite product of unevenly distributed probability space with potential of 3, the concept of formula truth degree was introduced into the Gdel 3-valued propositional logic system. Moreover, it was proved that in the 3-value (1/4, 1/2, 1/4), measure the set of truth of degree of propositions was dense in [0, 1], and a general expression of truth degree was obtained, providing a basis for further developing approximate reasoning of 3-valued propositional logic system.

利用势为3的非均匀概率空间的无穷乘积，在Gdel三值命题逻辑系统中引入公式的真度概念，在三值逻辑(四分之一，二分之一，四分之一)测度下证明G3中全体公式的真度值之集在[0， 1]上是稠密的，并给出公式真度的表达通式，为进一步在三值命题逻辑系统中展开近似推理奠定基础。

In chapter 2, to meet the application requirements of incomplete information system, based on propositional connectives ∧、∨、→、ヲ、～ and ～, we construct medium logic propositional calculus system MP〓 and medium logic predicate calculus system MF〓.

第一章：简要说明不完全信息数据库和模糊数据库研究的目的和意义，介绍中介逻辑和模糊数据库的发展、模糊数据库系统的特性以及本文的主要研究工作。

He became prime minister in 1997 and won international acclaim for his role in the Northern Ireland peace process.

他在1997年成为总理，并且因为在北爱尔兰的和平进程中发挥的作用受到国际社会的赞许。

Mixed Page Sorting Method Using the cuttable user model, this thesis proposes a mixed page sorting method by using cutted user model in server-side and complete user model in client-side.

隐私分级利用的混合式页面排序方法针对个性化搜索中搜索结果排序的问题，本文利用隐私可控开放的用户偏好模型，提出一个在客户端和服务器端分步进行的隐私分级利用的混合式页面排序方法。