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topologically closed set的中文,翻译,解释,例句

topologically closed set

topologically closed set的基本解释
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闭集

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Based on the existed theory of mareoids and fuzzy matroids, this thesis studies the closed regular fuzzy matroid and its fundamental sequence, the fuzzy base and its algorithm of closed fuzzy matroids, the fuzzy circuit and its algorithm of closed fuzzy matroids and so on. The main contributions of this thesis are as follows: 1 The necessary and sufficient condition of closed regular fuzzy matroid and a property of its fuzzy dual matroid are found by studying some properties of closed regular fuzzy matroid. 2 By studying some properties of fuzzt bases of closed fuzzy matroid, the necessary and sufficient condition of judging fuzzy bases of closed fuzzy matroids and some corollaries are found. In the end, an algorithm of obtaining a fuzzy base is given. 3 By studying some properties of fuzzt circuits of closed fuzzy matroid, some necessary and sufficient conditions of using its fundamental sequence to express fuzzy circuits are found. An algorithm of obtaining a fuzzy circuit is given. 4 By studying the fundamental sequence of closed regular fuzzy matroid, some necessary and sufficient conditions of fundamental sequence of closed regular fuzzy matroid are found.

本文在现有拟阵和模糊拟阵理论的基础上,研究了闭正规模糊拟阵及其基本序列,闭模糊拟阵的模糊基及算法、模糊圈及算法等内容,现分述如下: 1研究了闭正规模糊拟阵的一些性质,得到了闭正规模糊拟阵的充要条件及其模糊对偶拟阵的一个性质; 2研究了闭模糊拟阵模糊基的性质,找到了闭模糊拟阵模糊基的充要条件和几个推论,最后还给出了求模糊基的算法; 3研究了闭模糊拟阵模糊圈的性质,找到了用基本序列来表达模糊圈的几个充要条件,并给出了求模糊圈的算法; 4研究了闭正规模糊拟阵的基本序列,找到了闭正规模糊拟阵的基本序列的几个充要条件。

The results prove that T*1 S-closed space and T2 S-closed space are identical and that the regular S-closed space and normal S-closed space are the same. Therefore, to make T*1 space X become the complete conditions of S-closed space is the X extremely unconnected H-closed space, while S-closed space X can be measured as the complete condition X of S-closed T1 normal (A1) space.

首先讨论了S-闭空间的分离性,证明T*1型的S-闭空间与T2型S-闭空间是相同的,正则的S-闭空间与正规的S-闭空间是相同的,从而得到要使T*1型空间X成为S-闭空间的充要条件是X为极不连通的H-闭空间, S-闭空间X可度量化的充要条件是X为S-闭的T1型正则(A1)空间。

In terms of subshifts of finite type determined by an irreducible marrix, affine maps of compacted connected metric abelian group and continuous maps of tree, the two concepts of topologically ergodic map and topologically transitive map are identical.

指出对于由不可约方阵所决定的符号空间有限型子转移而言,或紧致交换群的仿射变换及树上连续自映射而言,拓扑遍历与拓扑可迁这两个概念是一致的。

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topologically complete space:拓扑完备空间

topologically complete set 拓扑完备集 | topologically complete space 拓扑完备空间 | topologically equivalent space 拓扑等价空间

topologically complete space:位相完备空间

位相完备空间 topologically complete space | 位相等价空间 topologically equivalent spaces | 位相等价变换 topologically equivalent transformation

topologically nilpotent element:拓扑幂零元

topologically equivalent space 拓扑等价空间 | topologically nilpotent element 拓扑幂零元 | topologically ringed space 拓扑环式空间