查询词典 geometric complex

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。

In Chapter 5, in geometric perspectives, the geometric properties of complex numbers are explored, including complex plane, four arithmetic operations of complex numbers and nth root of a complex number. It is also exemplified how these geometric properties are applied to solving the problems of plane geometry.

第五章从几何的观点探索复数的几何性质，包括复数平面、复数的四则运算及复数的n次方根，并举出几个例子，说明这些几何性质如何应用在解决平面几何的问题上。

The existing points and lines would form a closed geometric shape. If we put the new point Z outside the closed geometric shape at first and later then found that the point Z has neighboring relationship with the existing point A which is inside the closed geometric shape, we could not link point Z and A directly because that would bring line crossing. If we rearrange the point Z into the closed geometric shape, that also would cause a lot of work to do. With the help of Exclave, all problems could be solved easily. We use point X outside the closed geometric shape as the Exclave of the point A. Then the line between point Z and X could demonstrate the neighboring relationship of the point Z and A.

原有的各点和相邻线段往往会形成一个封闭的几何图形，如果我们把新增点 Z 设在原有的封闭几何图形外部，后来又发现该点 Z 和位于封闭几何图形内部的点 A 存在相邻关系，这时不能直接将两点连接因为那将产生交叉，而如果将点 Z 重新设在封闭图形内部也将导致大量的调整工作；此时借助外飞地的概念，可以轻松地解决上述问题，即在封闭几何图形外部设置点 X 作为点 A 的外飞地，两点使用同样的颜色，用点 Z 和点 X 的相邻线段表示点 Z 和点 A 之间的相邻关系。

Automated geometric theorem proving, as a byproduct of the completion of geometric theorems, is further developed into automated quantitative description of geometric relations. The recovery of the geometric meaning of this quantitative description leads to a natural extension of the geometric theorem.

几何定理的机器证明作为几何定理完全化的副产品，被发展成几何定理的关系定量化，这种量化的几何还原就是几何定理的自然推广。

The scale-type geometric wear-resistant structure surface is characterized in being made up of a base and the bionic geometric units on the surface. The bionic geometric structure unit is a scale-type structure distributed regularly on the surface of the base, and the distribution density is that: the ratio between the geometric projection area of the scale-type structure on the base surface and the surface area of the base formed by all the edge ends is 50-100%; the scale-type geometric structure unit has a symmetric hexagon shape on the surface; the sides L2/L1=1.0-2.0, L1: 1mm-50mm, and the internal angle Alpha is 120 degree -130 degree, the internal angle Beta is 100 degree -110 degree; the A-A section is subtriangular, and the B-B section is a trapezoid, the height H of the scale-type is 1-5mm.

本发明由基体和其表面上的仿生几何结构单元组成，仿生几何结构单元为在基体表面规律分布的鳞片型结构，鳞片型的分布密度为：其在基体表面上的几何投影面积之和与所有棱端围成的基体表面积之比为50-100％，鳞片型几何结构单元的表面形状为对称六边形结构：边长L2/L1＝1.0-2.0，L1：1mm-50mm，内角α为120°-130°，内角β为100°-110°，鳞片型的A-A截面为近似三角形，B-B截面为梯形，鳞片型的高度H为1-5mm。

In this paper,fuzzy complex numbers,limits of the sequence of fuzzy complex numbers,the metrical convergence and levelwise convergence,the continuity offuzzy complex functions,the calculus of fuzzy complex functions,theseries whose terms are fuzzy complex numbers,the series whose terms arefuzzy complex functions,the fuzzy complex measure and fuzzy differentialequation are investigated in details.All this may be a foundation forfurther researching fuzzy complex analysis.

本文对模糊复数、模糊复数列的极限、度量收敛与水平收敛、模糊复函数的连续性、模糊复函数的微积分、模糊复数项级数、模糊复函数项级数、模糊复测度及模糊微分方程理论进行了详细的研究，为模糊复分析的进一步研究打下一定基础。

conformal geometric algebra is a kind of new geometric representation and geometric computation tool, and it has properties of geometric intuitiveness, compactness, high efficiency, unification and elegance.

摘 要：共形几何代数是一种新的几何表示和几何计算工具，它具有直观、简洁、高效、统一、雅致等特性。

On the basis of Ritter real morphological associative memory, complex lattices and complex rings are defined respectively through introducing two ordinal relationships between complex numbers, consequently the same recall rules are obtained as RMAM in complex domain and construct a class of complex MAM, called extended RMAM. The CMAM can directly process complex signals such as FFT-ed complex data.

在Ritter的实域形态联想记忆(real morphological associative memory，简称RMAM)模型的基础上，通过在复数域中序关系的引入构成复数格和环，导出了在复数域上与RMAM相一致的联想规则，构建了一类复域MAM(complex MAM，简称CMAM)，从而将RMAM从实域推广至复域，使其可直接处理复信号如经FFT(fast Fourier Transformation变换所得数据。

The method for determining a phase-noise spectrum comprises generating real complex samples, by digitally sampling a phase component and phase quadrature component of the input signal in baseband, determining ideal complex samples from generated real samples, establishing complex quotients from the real and ideal complex samples, generating modified complex quotients by assigning the value 1 to the complex quotients, and subjecting the modified complex quotients to a Fourier transform.

所述方法包括以下步骤：通过对基带中的所述输入信号的相位分量和相位正交分量进行数字采样，产生实际复数采样Areal(n(S100)；根据产生的实际采样Areal(n确定理想复数采样Aideal(n(S101)；根据实际复数采样Areal(n和理想复数采样Aideal(n形成复数商ΔA1(n＝Areal/Aideal；通过对所述复数商指定值1，产生经修正复数商B(n(S106)；以及对经修正复数商B(n进行傅立叶变换(S107)。

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。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48