hereditarily indecomposable continuum
- hereditarily indecomposable continuum的基本解释
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遗传不可分解的连续统
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The soundness and completeness theorem of this method were proved at last. This part consists of the following points: 1. The properties of the indecomposable extremely simple form of LP were discussed, the theorem shown that every logical formula of LP was equals of a generalized conjunction normal form. 2. The method for judging a logical formula is a indecomposable extremely simple form or not was discussed, the necessary and sufficient conditions of a logical formula with not more than three implicative connective being a indecomposable extremely simple form was given. 3. The α-resolution fields of the indecomposable extremely simple form of LP were discussed, some elementary results were obtained. 4. The automated reasoning method based on the resolution principle of classical logic was discussed, the author given a method to describe the set of clauses by using a matrix, and translated the resolution of two clauses to column operations of this matrix.
二、关于格值命题逻辑系统LP中α-自动推理方法的研究 1、对LP中不可分极简式的性质进行了研究,证明了LP中任何一个格值逻辑公式等值于一个广义合取范式; 2、对LP中不可分极简式的判定方法进行了研究,讨论了含有不超过3个蕴涵运算的格值逻辑式为不可分极简式的充分必要条件; 3、对LP中不可分极简式的α-归结域进行了研究,得到了一些基本结果; 4、对经典逻辑中基于归结原理的自动推理方法进行了研究,给出了用符号矩阵表示子句集合的一种方法,把不同的归结过程转换成矩阵的列变换。
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A compromise between the implicit and explicit models, known as discrete-continuum, cluster-continuum, semicontinuum, orsupermolecule-continuum model, is to include several solvent molecules around the solute into the QM part, but the rest bulk solvent is treated with the continuum theory.
结果表明:(1),离散—连续组合模型既在从头算水平考虑了溶质分子和第一溶剂化层中溶剂分子间的短程作用,又包含了溶剂效应的长程静电作用;既包括了量子力学的精确性,又利用了连续场的高效性。
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Firstly, it's proved that the base of free monoid is unique, and that the equation of a base, a generating set and a irreducible generating set in the semigroup with length; Secondly, it's given the relation of a primitive word and a word of indecomposable--Let and is indecomposable, then is primitive ;And by using the length's method and chart,some properties of primitive word have been proved and the solutions of the equation , are discussed; Lastly, on the base of some proposition in Free monoids and Languages ,the proofs of some properties are improved by instruction. For example: Let be a primitive word over X, where .Then is a code. And let then if and only if {} is a code.
首先,讨论了含幺半群中基的基本性质及基与最小生成元集的联系,并给出了含幺半群中基、生成元集、不可约生成元集三者之间的关系;证明了在有唯一长度的半群S中,不可约生成元集、基、最小生成元集三者之间的等价关系;其次,讨论了字的组合与分解性,得出了字的本原性与不可分解性之间的关系---若为不可分解的,则一定是本原的,反之,不一定真;并运用图示法证明了字的可补性理论,讨论了方程,的可解性;在此基础上,用归纳法进一步证明了本原字与码的有关命题--若是X上的一个本原字,其中,则是一个码;若则当且仅当{}是一个码。
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hereditarily indecomposable continuum:遗传不可分解的连续统
hereditarily generating system 遗传的生成系 | hereditarily indecomposable continuum 遗传不可分解的连续统 | hereditarily normal space 遗传正规空间