拟阵

In Section 4, we establish the dependence axioms of poset matroids, which is one of our main results in this thesis.

第4节建立了偏序集拟阵的相关性公理，这是本文的主要结论之一。

In Section 6, we set up the closure axioms of poset matroids. which is one of our main results in this thesis.

在第6节，我们建立了偏序集拟阵的闭包公理，这是本文主要定理之一。

In Section 5, we use the corank function of poset matroids to investigate the relationship between a poset matroid and its dual.

在第5节，我们用偏序集拟阵的余秩函数来研究偏序集拟阵与其对偶之间的关系。

Fuzzy matroids is a theory which is set up by introducing the notion"fuzzy"into theory of matroid, it has existed nearly 20 years old.

模糊拟阵是将"模糊"的概念引入到拟阵理论中而建立起来的理论，已有近20年的历史。

So we only focus on the reducibility of central essential arrangements. A matroid is constructed from a given arrangement .

超平面构形可以看成是简单拟阵的一个实现，本文利用拟阵讨论构形的可约性。

A necessary and sufficient condition about the reducibility of central essential hyperplane arrangements is given:a central essential arrangement is irreducible if and only if the matroid is connected.

具体地，本文将对每一个超平面构形，构造一个拟阵，证明中心本质构形不可约的充分必要条件是对应的拟阵是连通的。

Since a partially ordered set has longitudinal and lateral structures, the characterization of poset matroids by rank function is much more complicated than that of the classical matoid.

因为一个偏序集有横向与纵向的结构，因此我们用秩函数来刻画偏序集拟阵要比刻画经典拟阵要复杂得多，但还是有章可寻。

Basing on the existing theory of crisp matroids and fuzzy matroids, the paper studies mainly fuzzy rank function and fuzzy submodularity function, The main contributions of the pap...

本文在现有拟阵和模糊拟阵理论的基础上主要研究了模糊秩函数以及模糊子模函数等内容，现分述如下：(1)从传统的子模函数出发，定义了模糊子模函数。

In particular, they present an open problem: the characterization of the representable discrete polymatroids, that is, which discrete polymatroids are representable?

在文中，他们给出了一个开放性问题：可表示的离散多拟阵具有的特性，即哪些离散多拟阵是可表示的，哪些是不可表示的。

Weak. Then the relations among rank-weak maps, independent set-reflected maps and closed set-reflected are studied. The isomorphism between matroids is characterized by these new maps, which shows that both weak map and rank-weak map are appropriate morphisms for matroids.

讨论了秩弱映射、反射独立集的映射以及反射闭集的映射之间的关系，利用这些映射给出了拟阵同构的等价刻画，说明了弱映射和秩弱映射也是合适的拟阵态射。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了