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The theoretical system for describing the structures of organic and drug molecules using 3 types of molecular electronegativity-distance is created based on various atomic types and atomic attributes. These MEDVs include MEDV-4 based on 4 atomic types and relative electronegativity and relative bond length to carbon atom, and molecular holographic distance vector based on 13 atomic types and relative bond length to carbon atom, and MEDV-13 based on 13 atomic types and atomic attributes and the modified electrotopological state index.

通过不同原子类型与原子属性划分方案，创建了3种形式的分子电性距离矢量即以4种原子类型划分方案和以碳原子为标准的相对电负性与相对键长为基础的分子电性距离矢量MEDV-4、以13种原子类型划分方案和相对键长为基础的全息分子距离矢量MHDV、以13种原子类型与43种原子属性划分方案以及修饰的电拓扑状态指数和拓扑距离为基础的分子电性距离矢量MEDV-13等3种矢量描述子表征分子结构的理论体系。

Early in the 1950s, in algebraic topology, the concept of graded Hopf algebras was derived from an axiomatization of the works of H. Hopf relating to topological properties of Lie groups. Hence the name,'Hopf algebra'.

50年代初，H.Hopf在研究李群的拓扑性质这一代数拓扑领域的理论工作中引入了分次Hopf代数的概念，"Hopf代数"由此而得名。

In chapter 5,we introduce the De Morgan algebra of metric and investigate the pseudo-metric Uniformity and the pseudo-metric topology and the separation axioms in De Morganalgebra of metric.We establish the Baire category theorem and the Banach contraction theo-rem,the Edelstein contraction theorem and other fixed quasi-atom theorems in De Morganalgebra of metric.In final,we give a sufficient condition for the metrization of a De Morganalgebra of topology.

在第五章里，我们地德摩根代数中引进了伪度量，探讨了伪度量一致和伪度量拓扑以及德摩根度量代数的分离公理，得到了Baire范畴定理、Banach收缩定理、Edelstein收缩定理以及其它不动拟原子定理，最后给出一个德摩根拓扑代数可度量化的充分条件。

With the exception of "catch-and-kill," which is ineffective against the Taiwan bandicoot rat and thus not appropriate for sugar cane farms, all of these baits can be used on all kinds of farms.

目前推广的有可灭鼠、扑灭鼠及伏灭鼠等三种饵剂，除了扑灭鼠对鬼鼠的毒效较差，不适用於甘蔗园外，其余的药剂都可施用於各种作物区。

High-level features including corners, doors and openings are identified and extracted which is the base for metric-topological map building.

在先验几何地图的基础上，本文讨论墙角、房门和通路等高级环境特征的辨识和提取，依据几何和拓扑环境模型实现几何—拓扑混合地图的构建。

In this paper, an algorithm based on backtrack which calculates the betweenness for simple un-weighted network with O run time complexity is proposed, after which the unique feature of Internet AS graph, i.e, edges between two ASes are associated with some kind of commercial relationships, is considered.

在进一步考虑Internet AS拓扑的特殊性，即任意两个相连的AS都具有某种商业关系的基础上提出了互联网AS层拓扑的Betweenness计算方法。

The Y M of binary oxides MO m?2 molecules were calculated and its application in correlation with acid-basicity scale of binary oxides were studied.

运用分子拓扑理论，提出了一个新的拓扑指数YM ，并用YM 建立了一种标度二元氧化物酸碱性的新方法。

Two methods are presented to calculate the lower bound and upper bound on the bisection width of H-Torus topology.

针对H-Torus拓扑结构，给出两种确定该拓扑结构等分带宽上、下界的方法。

In[5],combining the algebraic topology method,we have proven that conjunction matrix is complete topological invariant of bounded closed domain in plane under F-homeomorphism.so,for any two bounded closed domain in plane ?

主要原因在于拓扑不变量通常比较难算，没有比较实用的方法来恰当地提取图形的拓扑不变量，尤其是对较复杂的图形而言更是困难重重。

However,in this paper,it is first introduced sequential convergence C and L*- space which is a vector space giving some relation:xmCx between sequences and points in it,then the bounded set is defined in vector space.

设C为一序列收敛关系，T是由C确定的拓扑，B是由C确定的有界集族，则有B=BT(C，并进一步从L*-空间构造了包囿拓扑向量空间。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。