pointed simplicial complex

pointed simplicial complex的基本解释

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有点单纯复形

与pointed simplicial complex相关的网络例句 [注：此内容来源于网络，仅供参考]

In this thesis, a series of complexes based on aromatic multicarboxylic acids have been successfully synthesized in solutions or under hydrothermal conditions. Their structure and properties are investigated.(1) Eight complex compounds have been synthesized and characterized by X-ray single crystal diffractive technology: The eight complexes are listed as following: [Cu242] complex 1 [Cd22(H2O)4]·4H2O complex 2 [Co(H2btc)(H2O)3] complex 3 [Co2(H2O)2]·H2O complex 4 [Ni22(H2O)4] complex 5 [Cu22(H2O)4] complex 6 [Co(H2biim)2(H2O)2](H2btc) complex 7 [Zn(H2biim)2(H2O)2](H2btc) complex 8 The structure of complex 1 is dinuclear complex resulted from weak interactions（0-D chain）; complex 2 is 1-D chain stucture result from interactions of water molecules; complex 3、4、5、6 are coordination polymers using hydrothermal synthses, where the first kind ligand is H4btc, the second kind ligand is phen and Co2+、Ni2+、Cu2+ as center ions, respectively. While the coordination enviroment of Co2+ is the same in complex 3, the coordination geometries around the Co atoms in complex 4 are obviously different because of the different reaction conditions. In complex 4, the 1-D chains are connected into 2-D layer through carboxy groups of ligand H4btc. The structures of complex 5、6 are 1-D chain stucture result from interactions of carboxy groups in ligand H4btc. Complex 7、8 are homeomorphy compounds. Either of them are linked to the 3-D chains through intermolecular hydrogen bonds. Each H4btc lose two protons and H2btc2- acts as negative electron balance.

合成了8个结构新颖的配合物，并用X-射线单晶结构分析方法确定了晶体结构，分别为： [Cu242] 配合物1 [Cd22(H2O)4]·4H2O 配合物2 [Co(H2btc)(H2O)3] 配合物3 [Co2(H2O)2]·H2O 配合物4 [Ni22(H2O)4] 配合物5 [Cu22(H2O)4] 配合物6 [Co(H2biim)2(H2O)2](H2btc)配合物7 [Zn(H2biim)2(H2O)2](H2btc)配合物8 配合物1是一个依靠弱作用连接的双核铜结构；配合物2借助水分子形成一维链状结构；配合物3、4、5、6是以H4btc为第一配体、phen为第二配体，通过水热法合成的配合物，其中，Co2+、Ni2+、Cu2+为中心离子；配合物3中的二价钴离子具有相同的配位环境，不同反应条件下得到的配合物4中的二价钴离子存在不同的配位环境，在配合物4中，一维链通过H4btc上的羧基形成一个二维层结构；配合物5、6是借助H4btc上的羧基形成的一维链状结构；配合物7、8属于异质同晶结构，它们的分子通过分子间氢键形成三维网状结构，H4btc上的羧基失去2个质子，作为一个二价负离子起到电荷平衡作用。

Simplicial homology group; topological invariant; homotopy type invariant; degree distribution; clustering coefficient; average distance; simplicial complex; triangulation; complex network; orientability

基础科学，数学，几何、拓扑单纯同调群；拓扑不变量；伦型不变量；度分布；簇系数；平均距离；单纯复形；三角剖分；复杂网络；定向

This paper discusses the kernel of the system -- geometric model and includes the following:(1) The topological elements and the relation between them in geometric modeling system are explained and expressed by the theory of simplicial complex and CW-complex. In addition, the identification operators and homology theory in algebraic topology are used in our model. A hierarchical structure is built on the base of complex.

本文主要讨论这个系统的核心问题——几何建模问题，包括以下几个方面内容：(1)用单纯复形和CW复形的理论来解释和表达造型系统中的拓扑元素和拓扑元素之间的相关关系，并将代数拓扑中的粘合操作和同调论应用到模型中，建立以复形为基础的层次结构。

与pointed simplicial complex相关的网络解释 [注：此内容来源于网络，仅供参考]

pointed simplicial complex：有点单纯复形

有点集 pointed set | 有点单纯复形 pointed simplicial complex | 点态有界序列 pointwise bounded sequence