综合几何

词组短语

synthetic geometry

与综合几何相关的网络例句 [注：此内容来源于网络，仅供参考]

In this dissertation, the mechanical behavior of the metal adhesively bonded composite joints under loading have been systematically investigated by numerical calculation methods and experiments, and effects of shape dimensions and physical parameters of joints on stress distribution and strength of adhesively bonded joints have been placed emphasis upon.

本文在对国内外关于金属-胶层复合材料接头力学性能数值研究及发展现状进行综述的基础上，运用有限元法并结合实验手段主要研究了胶接接头承载后的力学行为，综合考虑了几何尺寸和物性参数对接头强度和应力分布的影响，并运用层次分析法对胶接质量进行综合评估，综合考虑接头形式，制造工艺，操作人员素质等因素的影响。

The stress distribution of adhesively-bonded metal/metal single lap joints under tensile shear loading is analysed using elastic-plastic finite element method .The influence of lap length on the strength of adhesively bonded metal joints which are bonded with phenolic resin and acrylic resin respectively is discussed in detail. It is shown that adhesive has great influence on the stress distribution of the lap region. With the increment of lap length, the stress concentration of adhesive layer decreases.

本文在对国内外关于金属-胶层复合材料接头力学性能数值研究及发展现状进行综述的基础上，运用有限元法并结合实验手段主要研究了胶接接头承载后的力学行为，综合考虑了几何尺寸和物性参数对接头强度和应力分布的影响，并运用层次分析法对胶接质量进行综合评估，综合考虑接头形式，制造工艺，操作人员素质等因素的影响。

As we all known, with the founding of Euclidean geometry in ancient Greece, with the development of analytic geometry and other kinds of geometries, with F.Kline" s Erlanger program in 1872 and the new developments of geometry in 20th century such as topology and so on, man has developed their understand of geometry. On the other hand, Euclid formed geometry as a deductive system by using axiomatic theory for the first time. The content and method of geometry have dramatically changed, but the geometry curriculum has not changed correspondingly until the first strike from Kline and Perry" s appealing.

纵观几何学发展的历史，可以称得上波澜壮阔：一方面，从古希腊时代的欧氏综合几何，到近代解析几何等多种几何的发展，以及用变换的方法处理几何的埃尔朗根纲领，到20世纪拓扑学、高维空间理论等几何学的新发展，这一切都在不断丰富人们对几何学的认识；另一方面，从欧几里得第一次使用公理化方法把几何学组织成一个逻辑演绎体系，到罗巴切夫斯基非欧几何的发现，以及希尔伯特形式公理体系的建立，极大地发展了公理化思想方法，不管是几何学的内容还是方法都发生了质的飞跃。

This is to be seen in the context of the axiomatization of the whole of pure mathematics , which went on in the period c.1900 c.1950: in principle all methods are on a common axiomatic footing.

笛卡儿的做法目前占主导地位，有几何的问题正在处理的工具，其他地区的数学和几何理论的相当开放和综合。

This paper presents an IFMC CAD model that consits of a geometry model and a material model, in which the geometry space acts as a base space and the material space acts as a bundle space. In this CAD model, the geometry model is based on the non-manifold model. In addition, a half-face data sturucture, which is derived from the half-edge data structure with the non-manifold feature of IFMC taken into account, is adopted to represent the geometry and topology information of the component. For the material model of IFMC, this paper focuses on the FGM component representation firstly and present a simplex-subdivision based CAD data exchange format, in which the material information is represented as a (n-1) simplex and material distributing feature is represented by the interpolation on the simplex-subdivision. Based on those, a part-building orientation optimization algorithm and an adaptive slicing algorithm for FGM component are presented in the paper. For the IFMC material model, the IFMC material information representation is divided into a meso-scale and a macro-scale representation. In the meso-scale, a concept named parameterized periodic functional meso-structure is presented as a unique form to represent the FGM (the homogeneous materials are regarded as a special FGM), the composite and the functional meso-structure material. The model of PMS is a three-tuple that contains the space state informatation, the material parameter and the material meso-scale distribution feature. The macro-scale material information representation is similar to the FGM components by interpolation of the control parameter of the periodical functional meso-structure based on the simplex-subdivision. Through an example of manufacturing-oriented IFMC CAD data processing, it is proved that the IFMC CAD model and the material information representation and process method proposed in this paper can provide a reliable data support for IFMC digital concurrent design and manufacturing.

本文将理想材料零件CAD模型建立在以几何空间为底空间、以材料空间为丛空间的结构上，使用非流形几何模型作为理想材料零件几何拓扑模型的基础，并在半边数据结构基础上，针对理想材料零件的非流形特征局限内部边界上的特点，给出了一个半面数据结构来表述零件的几何拓扑信息；对于理想材料零件的材料模型，本文先从功能梯度材料零件的信息表述与CAD数据交换和处理入手，将材料信息表述为（n-1）维单纯形，然后通过对三维几何区域的单纯剖分，以插值的方式表述零件材料分布特征；在此基础上，根据功能梯度材料零件分层制造中对CAD数据处理的要求，给出了综合考虑零件几何特征与材料特征的生长方向优化算法和自适应切片算法；而对于文中所定义的理想材料零件，本文将其材料信息表述分解到细观和宏观两个尺度进行，首先给出了细观尺度上参数化的周期性功能细结构概念，以此来统一表述功能梯度材料（单质材料作为特殊的功能梯度材料看待）、复合材料和功能细结构材料；把周期性功能细结构模型化为一个包含空间状态信息、材料构成参数和材料细观分布特征参数的三元组，以表达零件的细观材料特征；对于零件宏观的材料变化特征，则同样在几何区域单纯剖分的基础上，通过对细观尺度上周期性功能细结构控制参数的插值来完成；通过理想材料零件CAD数据处理的算例，验证了本文中理想材料零件CAD模型及材料信息表述与处理方法完全可以为理想材料零件的数字化制造提供可靠的数据支持。

This paper presents an IFMC CAD model that consits of a geometry model and a material model, in which the geometry space acts as a base space and the material space acts as a bundle space. In this CAD model, the geometry model is based on the non-manifold model. In addition, a half-face data sturucture, which is derived from the half-edge data structure with the non-manifold feature of IFMC taken into account, is adopted to represent the geometry and topology information of the component.For the material model of IFMC, this paper focuses on the FGM component representation firstly and present a simplex-subdivision based CAD data exchange format, in which the material information is represented as a (n-1) simplex and material .distributing feature is represented by the interpolation on the simplex-subdivision. Based on those, a part-building orientation optimization algorithm and an adaptive slicing algorithm for FGM component are presented in the paper.For the IFMC material model, the IFMC material information representation is divided into a meso-scale and a macro-scale representation. In the meso-scale, a concept named parameterized periodic functional meso-structure is presented as a unique form to represent the FGM (the homogeneous materials are regarded as a special FGM), the composite and the functional meso-structure material. The model of PMS is a three-tuple that contains the space stateinformatation, the material parameter and the material meso-scale distribution feature. The macro-scale material information representation is similar to the FGM components by interpolation of the control parameter of the periodical functional meso-structure based on the simplex-subdivision.Through an example of manufacturing-oriented IFMC CAD data processing, it is proved that the IFMC CAD model and the material information representation and process method proposed in this paper can provide a reliable data support for IFMC digital concurrent design and manufacturing.

本文将理想材料零件CAD模型建立在以几何空间为底空间、以材料空间为丛空间的结构上，使用非流形几何模型作为理想材料零件几何拓扑模型的基础，并在半边数据结构基础上，针对理想材料零件的非流形特征局限内部边界上的特点，给出了一个半面数据结构来表述零件的几何拓扑信息；对于理想材料零件的材料模型，本文先从功能梯度材料零件的信息表述与CAD数据交换和处理入手，将材料信息表述为(n-1)维单纯形，然后通过对三维几何区域的单纯剖分，以插值的方式表述零件材料分布特征；在此基础上，根据功能梯度材料零件分层制造中对CAD数据处理的要求，给出了综合考虑零件几何特征与材料特征的生长方向优化算法和自适应切片算法；而对于文中所定义的理想材料零件，本文将其材料信息表述分解到细观和宏观两个尺度进行，首先给出了细观尺度上参数化的周期性功能细结构概念，以此来统一表述功能梯度材料(单质材料作为特殊的功能梯度材料看待)、复合材料和功能细结构材料；把周期性功能细结构模型化为一个包含空间状态信息、材料构成参数和材料细观分布特征参数的三元组，以表达零件的细观材料特征；对于零件宏观的材料变化特征，则同样在几何区域单纯剖分的基础上，通过对细观尺度上周期性功能细结构控制参数的插值来完成；通过理想材料零件CAD数据处理的算例，验证了本文中理想材料零件CAD模型及材料信息表述与处理方法完全可以为理想材料零件的数字化制造提供可靠的数据支持。

After the researching about the styles, sculpting and the colors of the knitting products, the cause of the influence on the knitting from the Geometry pattern is summarized in the article. After the researching on the designing ways about Geometry patterns, the primary designing ways ang thoughts are summarized in the article. When working in the knitting factories, I tried to use what I have studied in the factories to my research. Then I added the modern technique to the geometry pattern designs. At last, the new design thoughts and the emphases of the market design for different age, jobs about the Geometry were brought forward.

本文在对毛衫上的几何图案造型、风格、色彩进行研究分析后，针对基本几何图案和组合几何图案分别总结出它们影响毛衫风格的主要因素，在对几何图案的造型手法进行深入研究分析后，归结出毛衫几何图案设计创新的主要手法和思路，同时综合在毛衫企业实习后的得到感受和经验，将几何图案结合现代毛衫工艺手法，针对不同年龄、职业、消费层次的市场提出不同的设计思路和实践操作要素。

The synthetic geometers were developing projective geometry.

综合几何学家们在发展射影几何学。

If the pertubation factors in judgments are stochastic,it was proved in this paper that the matrix of GMJ will converge in probability at a consistent positive reciprocal matrix whose vector of priorities is just the geometric mean of the vectors of p...

如果判断矩阵的干扰因子是随机的，文章证明了几何平均综合矩阵将依概率收敛于一个一致性的正互反矩阵，其排序向量刚好是各判断矩阵的几何平均综合排序向量。无疑这对于在群组决策时几何平均综合判断矩阵法的使用是重要的。

Results The four main mathematical branches in 17th century are considered roundly in the general view: analytic geometry,calculus,algebra and synthetic geometry.

结果17世纪数学形成四大分支———解析几何、微积分、代数和综合几何。

与综合几何相关的网络解释 [注：此内容来源于网络，仅供参考]

homogeneity：齐性

将方程变成比例的形式等.第6章处理了一些涉及综合法的问题,第7章讨论了几何量与数之间的关系,若事物本身能表示成长度、面积或体积,则在方程中能用一个数表示这个量.韦达拘泥于希腊人的齐性(homogeneity)原则,即认为一个数表示线段,

integrator：综合者

英西图公司的"综合者" (Integrator)无人机项目的发展已进行了三年,基本布局于2005年11月设计定型,原型机已在2006年首飞. 2007年8月在华盛顿特区举办的无人机系统协会的国际无人系统北美展上,展出了这种无人机生产型的机体几何形状和外部模线.

Generalized least squares：综合最小平方法

General census, 全面普查 | Generalized least squares, 综合最小平方法 | Geometric mean, 几何平均数

lofting：放样

机、船舶的外形放样(Lofting)工艺,主要研究在计算机图像系统的环境下对曲面信息的表示、逼近、分析和综合.它已与微分几何、代数几何、函数逼近论、拓扑学、抽象代数、矩阵论、微分方程、最优化、数值分析等数学分支以及计算机辅助设计/加工、数据结构、数控、程序设计、计算机动画等有着紧密联系,

projective geometry：射影几何

即各独力事件的积的机率等於各独立事件机率的乘积,最先是在棣美弗的((机遇说))中说到的.他的第二篇关於概率论的著作是((综合分析))(Misellanea Analytica,1730)生平: 从事射影几何(Projective Geometry)的研究,为名数学家迪沙格(Desargues)的挚友,

pure projective geometry：综合射影几何

综合射影几何 pure projective geometry | 纯二次的 pure quadratic | 纯表现代数 pure representation algebra

synthetic projective geometry：综合射影几何[学]

11944,"synthetic method","综合法" | 11945,"synthetic projective geometry","综合射影几何[学]" | 11946,"synthetic proof","综合证明"

pure geometry：综合几何(与解析几何相对者)

纯方程 pure equation | 综合几何(与解析几何相对者) pure geometry | 纯虚数 pure imaginary

synthetic geometry：综合几何

synthetic fibre 合成纤维 | synthetic geometry 综合几何 | synthetic resin 合成树脂

transversal：横截

从而给著名的K.库拉托夫斯基(Ku-ratowski)不可嵌入平面图的定理一个直接的组合证明.惠特尼在组合论方面的最大成就是他引进拟阵(matroid)理论,这是一种抽象的线性相关性理论,它不仅包含图论为其特例,而且还包括网络理论、综合几何以及横截(transversal)理论等.他的出发点很简单,