查询词典 algebraic algebra

Our work involves the theories of numerical analysis, matrix computation, abstract algebra, control theory and algebraic Riccati equation.

课题的研究涉及到数值分析，矩阵计算，抽象代数，控制论等重要学科。

Difference from other algebraic structures which are introduced for some logic system, Implication Algebra is a abstraction of one logic connective, i. e. implicative operator, and other operators in it are all introduced by implicative operator.

特别值得提出的是，与其它为研究逻辑系统而引入的代数结构不同，蕴涵代数是对一个逻辑联结词，即蕴涵算子抽象而得到的，其它算子均是由蕴涵算子诱导而得到。

In this paper, we discuss some kinds of special filters and congruence relation in fuzzy algebraic system MTL which is used extensively. The conceptions of the special filter are fuzzified in terms of the fuzzy set of Zadehs theories and further study them by way of logic algebra of n-value.

本文在具有广泛应用的模糊逻辑代数系统MTL-代数中，讨论了几类特殊滤子和同余关系，并且进一步用多值逻辑代数的方法研究它们。

It reflects the algebra in other algebraic structure of the basic idea.

它体现了代数学中研究其他代数结构的基本思路。

Based on the filtered Lie algebra of the universal enveloping algebra, the algebraic structure of projected subsystems are studied. It is proved that they have simple decompositions, and the construction of the representations is given as well as the corresponding criterion for project limit controllability.

基于泛包络代数的滤李代数结构，研究了投影子系统的代数结构，证明它们具有简单的分解形式，并给出了它们的表示的构造方法和投影极限能控性的判别定理。

Lattice implication algebra is an algebraic system combinating lattice with implication algebra.

格蕴涵代数是徐扬教授为研究格值逻辑把格与蕴涵代数相结合提出的一个代数系统。

Computing integral closure of a finite extension is not only an important problem in commutative algebra, but also in algebraic geometry and algebraic number theory.

计算有限扩张的整闭包不但是交换代数中的一个核心问题，也很受代数几何以及代数数论发展的推动。

Lattice implication algebra is a kind of algebraic structure combined with lattice and implication algebra. It is an important method in the research of lattice-valued logic.

格蕴涵代数是将格与蕴涵代数结合起来的一种代数结构，是研究格值逻辑系统及其性质的一个重要途径。

This direction of research associates the graph in graph theory with the matrix in algebra by the matrix representation of a graph, then studies the algebraic property of graphs with the methods in graph theory and algebra.

该研究方向是通过图的矩阵表示将图论中的图与代数中的矩阵联系起来，再利用图论和代数方面的一些方法来研究图的代数性质。

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。

If you are unfortunate enough to the lovelorn, please tell me, I will help you out, really, please contact me!

如果你不幸失恋了，请告诉我，我会帮助你摆脱困境，真的，请联系我啦！

China's plan to cut energy intensity by 20 percent and pollutant discharges by 10 percent between 2006 and 2010 is a case in point.

中国计划在2006年到2010间降低20%的能源强度和减少10%的主要污染物排放，就是一个这样的例子。