闭包算子

In this section we have obtained some fundamental results on closure operator of poset matroids.

在这一节我们得到了偏序集拟阵闭包算子的一些基本结论。

In Chapter Ⅳ, we study the dependence and closure operator of poset matroids.

第四章研究了偏序集拟阵的相关性和闭包算子。

In Section 5, we define the closure operator of poset matroid 〓 on 〓.

第5节定义了偏序集拟阵的闭包算子。

The concept of Galois connections for partially ordered objects in a topos is introduced and the kernel operator and closure operator are investigated.

在任意 topos 中引入了偏序对象之间的 Galois 联络的定义，刻画了偏序集对象上的核算子和闭包算子。

The rank function is introduced for poset greedoids on the base of poset matroids,and the closure operator s are defined and a series of properties of closure operaters of poset greedoids are discussed.

在偏序集拟阵的基础上，引入了偏序集广义拟阵的函数，定义了偏序集广义拟阵的闭包算子，讨论了偏序集广义拟阵的一系列性质。

This thesis including four chapters: Chapter Ⅰ, Introduction: Chapter Ⅱ, bases and Circuits of Poset Matroids; Chapter Ⅲ, A Class of Functions Associated with Poset Matroids: Chapter Ⅳ, Dependence and Closure Operator of Poset Matroids.

本文包括四章内容，第一章，引言。第二章，偏序集拟阵的基和圈。第三章，一类与偏序集拟阵相关的函数。第四章，偏序集拟阵的相关性和闭包算子。

The study includes the fuzzy independent set, fuzzy bases, fuzzy circuits, fuzzy rank, fuzzy hyperplanes, fuzzy closure operator, fuzzy submatroid, quasi-fuzzy graph matroids, fuzzy graphic matroids, fuzzy dual matroid and so on.

研究的内容包括模糊拟阵的独立集，模糊基，模糊圈，模糊秩函数，模糊超平面，模糊闭包算子，模糊子拟阵，准模糊图拟阵，模糊图拟阵，模糊拟阵的对偶和模糊拟阵的运算等等。

The study includes fuzzy bases, fuzzy circuits, fuzzy rank function, fuzzy hyperplanes, fuzzy closure operator, fuzzy submatrods, quasi-fuzzy graph matroid, fuzzy graphic matroids, fuzzy dual matroid and so on.

研究的内容包括模糊拟阵的模糊基，模糊圈，模糊秩函数，模糊超平面，模糊闭包算子，模糊子拟阵，准模糊图拟阵，模糊图拟阵，模糊拟阵的对偶等等。

It is proved that closed pretopologies and pseudo-closure operator s on a complete lattice are corresponding one by one.

引入了预拓扑分子格的概念，并证明了完备格上的闭预拓扑和伪闭包算子是一一对应的。

For an abitrary set X, appropriate order relations on WCL (the set of all weak closure operators), WIN (the set of all weak interior operators), WOU (the set of all weak exterior operators), WB (the set of all weak boundary operators), WD (the set of all weak derived operators), WD*(the set of all weak difference derived operators), WR (the set of all weak remote neighborhood system operators) and WN (the set of all weak neighborhood system operators) can be defined respectively, which make WCL, WIN, WOU, WB, WD, WD*, WR and WN to be complete lattices that are ismorphic to CS(X,CS is the set of all closure systems on X.

证明了可以在WCL(X上的弱闭包算子的全体)、 WIN(X上的弱内部算子的全体)、 WOU (X上的弱外部算子的全体)、 WB (X上的弱边界算子的全体)、WD、 WD*(X上的弱差导算子的全体)、 WR(X上的弱远域系算子的全体)和WN(X上的弱邻域系算子的全体)上定义适当的序关系，使它们成为与CS(X，〖JX-*5[JX*5]同构的完备格其中CS(X是给定集合X上的闭包系统的全体。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。