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 boole BOOLE OPERATION AND REFLEXIVITY TRANSITIVITY OF NONNEGATIVE MATRICES 非负矩阵的布尔运算及自反性与传递性 They are general method,Boole Matrix and Warshall algorithm. 一般方法、布尔矩阵算法、及Warshall算法. Boole Logic and Digital Thinking——About the Transformation of the Thinking Mode of Architecture Design in the Age of Digital Technology 布尔逻辑与数字化思维——试论数字化条件下建筑设计思维特征的转化 Boole Function and Boole Polynomial 布尔函数与布尔多项式 (4)Looking for the contents with keywords according to the Boole logic languages rules. (4)按照布尔逻辑语言规则输入关键词搜索所需学习内容。 2. Some important identitis are provided with their combinatorial proof or combinatorial interpretation on the Boole Lattice B_n. 2.给出了一般布尔格上一些重要的恒等式及其组合证明或组合解释。 2. Some important identitis are provided with their combinatorial proof or combinatorial interpretation on the Boole Lattice B_n. 2.给出了一般布尔格上一些重要的恒等式及其组合证明或组合解释。 In the mid-19th century, English mathematician George Boole founded a logical algebra, realizing Leibniz’s proposal in the main. 19世纪中叶,英国数学家布尔创建了逻辑代数,初步实现了莱布尼茨的设想。 Firstly, in this paper according to the characterization of two elements covered principal congruence relations of a maximal chain and the distributivity of congruence lattices we proved that the congruence lattice of a chain with finite element is a Boole lattice, and we further proved that the congruence lattice of a chain with countable element is a Boole lattice. 本文首先利用极大链中的二元覆盖主同余关系以及根据同余关系的分配性，证明了任意有限链的同余关系格是布尔格，进而又证明了具有可数个元的链的同余关系格是布尔格。 Secondly, we supplied a new iff which characterize distribute lattices, and we proved that the congruence lattice of distributive lattice with finite element is Boole lattice based on the method of a chains congruence lattices, but the converse isn't true, the congruence lattice of distributive lattice with countable element is Boole lattice, but the converse isn't true. 其次，对于分配格，提出了判断分配格的一个充要条件，基于对链的同余关系格的研究方法，证明了有限分配格的同余关系格是布尔格，具有可数个元的分配格的同余关系格是布尔格。 Thirdly, according to the characterization of two elements covered principal congruence relations of modular lattices we proved the congruence lattice of modular lattice with finite element is Boole lattice, but the converse is not true, and we further proved that the congruence lattice of modular lattice with countable element is Boole lattice, but the converse is not true. 再次，对于模格，通过研究模格中二元覆盖主同余关系的特征，证明了有限模格的同余关系格是布尔格，反之不成立。 进而又证明了具有可数个元的模格的同余关系格是布尔格，反之不成立。 The writer of the paper has advanced Boole Matrix and its applied models、 methods aad proce dures in scientific policy、 scientific judeme-nt、scientific classification、 the optimization of information and eletro-nic network. 本文给出了布尔矩阵及其在科学决策、科学判断、科学分类、信息和电子网络的优化等方面的应用模式、方法和步骤。 In this paper, the fundamental theory of coons interpolation is studied, and the general method to construct coons interpolation surface presented. At the same time, the Boole sum approximation and its error estimates are also discussed. 文章研究了康斯插值的基本理论，给出了构造康斯插值曲面的一般方法，对布尔和逼近与误差估计也作了探讨；

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