查询词典 Boole

Based on the new theories developed in biology,the basic theoreticalproblems of the genetic algorithm,which are the representation scheme,co-nvergence and convergence rates of the genetic algorithms,etc.,are discussedwith Boolean algebra,group theory,martingale theory and axiomatic method inthe framework of the Markov chain.

本文以生物学发展的新理论为背景，在遗传算法的Markov链框架下运用Boole代数、群、鞅及公理化方法研究遗传算法的表示、收敛性与收敛速度等基本理论问题。

This equivalent characterization offers a new way for us to investigate Boolean algebra from a new angle.

Boole代数新定义的引入为进一步认识和研究Boole代数提供了新的途径。

Results Axioms of equivalent characterization is simplest and which is proved to be equivalent to the Boolean algebra.

结果 得出了Boole代数的等价刻画以及等价刻画中各条公理的独立性。

In Chapter 3,we classify a binary-coded individual space equivalently withthe help of the ideals of Boolean algebra and analyze the search capabilitiesof a new kind of algebraic crossover operator in these equivalence classes,thenprovide the algebraic representation of a type of genetic algorithms by usingthe permutation group,therefore we can derive a lot of new forms of geneticalgorithms.

第三章运用Boole代数的理想将二进制编码的个体空间进行等价分类，分析了一类代数杂交算子在这些等价类上的搜索能力；然后利用置换群给出一类遗传算法的代数表示，由此导出多种新形式的遗传算法，并给出其中两类算法形式的收敛性结果。

In first part,we define the concept of Attribute Set on Boole Algebra.

我们首先引进属性集的概念。

A system of symbolic logic devised by George Boole; used in computers.

乔治·布尔发明的符号逻辑；用在电脑上。

George Boole was an English mathematician who helped establish the field of mathematics called symbolic logic.

乔治布尔是一名曾帮助建立数学邻域中逻辑符号的英国数学家。

In an algebra proposed by George Boole about 1850, the variables are permitted to have only two values true or false , usually written as 1 and 0, and the algebraic operations on the variables are limited to those defined as AND, OR, NOT.

George Boole 在1850年提出的代数学中，变量值只有两种：真和假，通常记为1和0，代数运算也仅局限于与、或、非。

Boolean Logic is named after the 19th century mathematician, George Boole.

布尔逻辑以 19 世纪数学家 George Boole 的名字命名。

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。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新