查询词典 solid geometry

On the base of these, and the ideas of mathematical curriculum reform and the course of the reform of solid geometry, combining with educational reality and students" psychology, put forward some thoughts about solid geometry of middle school in future:(1) The arrangement of curriculum content should. give consideration to both the logical sequence of knowledge and the development of students" psychology, and make them united;(2) Paying great attention to the analogy of plane geometry and solid geometry;(3) Some respects remained to be strengthened about solid geometry in senior middle school;(4) Emphasizing the importance of conversion in solid geometry;(5) Stressing on the combination of solid geometry and algebra and other subjects;(6) The design of the content of solid geometry should have certain elasticity, and make solid geometry and modern education technology well combined.

在此基础上，又植根于近年来我国数学课程改革的理念和立体几何课程改革的进展，并结合我国的教育实际与学生心理，对未来中学立体几何课程的设胃提出若干思考：(1)课程内容的编排，要兼顾知识的逻辑顺序和学尘的心理发展相统一；(2)重视平面几何和立体几何的类比；(3)高中阶段立体几何有待加强的几个方面；(4)强调变换在立体几何中的重要性；(5)注意将立体几何和代数及其他学科相结合；(6)立体几何内容的设计要有一定的弹性，并注意与现代教育技术相结合。

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。

During the course of the well-known "new mathematics" campaign, the status of Euclidean geometry was completely overthrown in I960" s. After deeply thought of "new mathematics", the standpoint that geometry curriculum should reflect the content and method of modern geometry and be in touch with the student" s real life was agreed on. Other countries have tried some significant attempts. We can find from some geometry textbooks that the methods of transform and vector have appeared as a normal part. Simultaneous, not only the new developments of geometry such as Topology have been referred , but also the connection between geometry and practice has been strengthened.In China, geometry curriculum is also in the during of innovation.

而学校几何课程在二千年的时间里一直没有多大的变化，直到二十世纪初"克莱因—培利运动"的第一次冲击，到60年代"新数学"运动的全盘改革，以及之后的深入反思，中学几何课程要反映现代几何学的内容和方法以及紧密联系于实践的观点已经受到普遍的重视，国外的几何课程已经在这方面做了不少有意义的尝试，从国外的一些几何教材中可以发现：变换、向量等工具已经作为正式的内容进入几何教学，拓扑学等几何的新发展也开始在教材中有所体现；几何课程与实践之间的联系更是在很大程度上得以加强。

The major content of this course includes: calculation, measurement and control of solid surface composition, the structure of solid surface, electronic potential, energy band structure and surface energy state of solid, the action between gas and solid surface, chemistry behaviors of molecular on solid surface (chemisorption and catalysis of solid surface), activation and passivation of solid surface, fundamental principle and application of photo and electricity surface reaction, design of solid surface functional materials, and etc.

基本内容包括：固体表面组成计算、测定与调控，固体表面结构表示方法、测定与控制，固体表面电子势和表面态、固体表面能带结构以及固体能带的测定，固体表面的功能、气体-固体表面间的作用以及气体-固体表面作用的研究方法，分子在固体表面上的化学行为(化学吸附和固体表面催化作用)，固体表面的活化与钝化，光电表面化学反应基本原理及应用，固体表面功能材料的设计等领域。

Therefrom; heating said waste edible oil from which solid materials have been removed to a predetermined temperature, thereby removing moisture and materials of odor contained in the waste edible oil therefrom by evaporation; dissolving in alcohol a catalyst containing at least one type or more types of alkaline material selected from a group comprised of at least potassium hydroxide, potassium carbonate and potassium alcoholate, thereby preparing an alcoholic solution containing the catalyst; mixing said waste edible oil from which said solid materials, moisture and materials of odor have been removed with said alcoholic solution containing the catalyst and stirring the waste edible oil and alcoholic solution, thereby accelerating a catalytic reaction between the waste edible oil and the alcohol and obtaining a reaction product between the waste edible oil and the alcohol; separating said reaction product into a light solution and a heavy solution; mixing the light solution obtained in the separation step with a solid absorbent, thereby impurities such as residual catalyst, odor material, moisture contained in the light solution being absorbed by the solid absorbent; and separating and removing said solid absorbent from a mixture of the solid absorbent having absorbed the impurities and the light solution.

完成前述对象，根据这项发明的特点是获得的柴油燃油从废油脂透过几个步骤：去除固体材料包含在一个废油脂倾倒，从餐厅，食品厂，民政等因此；暖气说，废油脂从哪个固体材料已被调离到一个预定的温度，从而消除了水分和材料的气味，载于废油脂因此由蒸发；溶解在酒精的催化剂至少含有一种或更多类型的碱性材料选定由一组组成的至少氢氧化钾，碳酸钾和钾，醇，从而准备一醇溶液中含有催化剂；混合说，废油脂从哪个说，固体材料，含水率和材料的气味已被剔除与说，酒精性解决方案载有催化剂和搅拌废物食用油及含酒精的解决办法，从而加速催化反应之间的废油脂及酒精和获得反应产物之间的废油脂及酒精；分开说，反应产物成为一个轻型的解决方案和沉重的解决方案；混合轻解决方案，获得了在分离一步一个坚实的吸水性，从而杂质，如残留的催化剂，气味的物质，水分，载于轻解决方案，被吸收的固体吸收剂；分离和消除说，固体吸附剂从混合物对固体吸收剂吸收了杂质和轻便的解决办法。

Dealcoholization temperature markedly influences the surface area and porosity of the resultant MAO-supports. When the support was pretreated at lower or higher temperature, the corresponding MAO-support shows very low surface area;2.XRD and IR analyses indicate that MAO has reacted with the residual ethanol in the supports, which is an important manner to get MAO fixed on the carrier. Morever, XPS analyse indicates that MAO can also be coordinated with MgCl_2, which is another way to get MAO fixed on the support;3.ICP and EDX analyses indicate that dealcoholization temperature not only determined the element content on the solid catalyst, but also influences the element distribution on the carrier;4.The activities of the supported phenoxy-imine catalysts and the properties of resultant polymers are strongly dependent on the dealcoholization temperature. The support (MSP-5) obtained by treating MgCl_2·2.56C_2H_5OH at 160℃for 4 h, then modified by MAO is very effective for immobilizing complex 3, the resultant solid catalyst (MSPC-5) shows very high activity in ethylene polymerization, and its kinetics of polymerization is stable during the reaction process. Finally, PEs with spherical morphology and high bulk density (over 0.35g/ml) were obtained, without reactor fouling;5.In this work, polymerization conditions such as alkylaluminums, Al/Zr ratio, temperature and H_2 had a pronounced effect on the activity of MSPC-5 and properties of PE;(3). New MgCl_2-Supported Single-Site Catalysts for Ethylene PolymerizationIn this work, a kind of new MgCl_2 support was obtained by anhydrous MgCl_2 co-milled with solid MAO, and it is a creative contribution. Then some single-site catalysts were supported on the new MgCl_2 support, and the resulted solid catalysts were tested in ethylene polymerization, the results indicated that:1.XRD and IR analyses indicate that MAO does be coordinated with MgCl_2, which is in good agreement with the results obtained by XPS;2.co-mlling time had no obvious effect on the texture of support after 12 hours;3.In this work, MgCl_2 was co-milled with solid MAO for different hours, and then complex 3 was supported on these co-milled supports. It was found that co-milling time markedly influences the activity of solid catalysts, but it had negligible effect on the kinetic profile and the properties of resultant PE.

XPS研究结果表明，MAO不仅仅只和乙醇作用，MAO还与MgCl_2本身有一定的作用，这是一个极为重要的发现；3、通过ICP和EDX表征，发现载体的脱醇温度直接影响着元素在固体催化剂中的含量及分布；4、脱醇温度极大地影响着负载苯氧基亚胺类催化剂的活性和聚合物的性能，特别是原始载体经160℃活化4小时制备得到的固体催化剂MSPC-5的活性明显高于其他脱醇温度条件下制得的固体催化，并且催化剂寿命长，表现出稳定的动力学行为，最终获得了高堆密度(大于0.35g／ml)的球形聚乙烯颗粒；5、本文选择MSPC-5为研究对象，考察了聚合反应参数对催化剂的活性及其聚合物的影响，研究发现：不同的烷基铝对催化剂具有非常重要的影响，特别足TIBA对MSPC-5的助催化活性最高，烷基铝的加入量有一个较佳值，聚合温度为80度时活性最高，H_2的加入使催化剂的活性明显降低且聚合物的分子量也减小；、新型氯化镁载体负载单活性中心催化剂催化乙烯聚合本文创造性采用固体MAO与无水氯化镁直接进行共研磨，制备出了一种的新型的氯化镁载体，并将该载体用于多种单活性中心催化剂的负载化研究，研究表明：1、通过BET、XRD的表征，再次证实了MAO与MgCl_2之间具有直接作用，与XPS的研究结果相一致；2、当研磨时间高于12小时时，延长研磨时间对载体的结构没有显著的影响；3、将配合物3负载于共研磨时间不同的一系列载体上，乙烯聚合结果表明，尽管共研磨时间对负载催化剂的活性具有明显的影响，但是它对聚合物的性能以及催化剂的影响不明显。

Dealcoholization temperature markedly influences the surface area and porosity of the resultant MAO-supports. When the support was pretreated at lower or higher temperature, the corresponding MAO-support shows very low surface area; 2.XRD and IR analyses indicate that MAO has reacted with the residual ethanol in the supports, which is an important manner to get MAO fixed on the carrier. Morever, XPS analyse indicates that MAO can also be coordinated with MgCl_2, which is another way to get MAO fixed on the support; 3.ICP and EDX analyses indicate that dealcoholization temperature not only determined the element content on the solid catalyst, but also influences the element distribution on the carrier; 4.The activities of the supported phenoxy-imine catalysts and the properties of resultant polymers are strongly dependent on the dealcoholization temperature. The support (MSP-5) obtained by treating MgCl_2·2.56C_2H_5OH at 160℃for 4 h, then modified by MAO is very effective for immobilizing complex 3, the resultant solid catalyst (MSPC-5) shows very high activity in ethylene polymerization, and its kinetics of polymerization is stable during the reaction process. Finally, PEs with spherical morphology and high bulk density (over 0.35g/ml) were obtained, without reactor fouling; 5.In this work, polymerization conditions such as alkylaluminums, Al/Zr ratio, temperature and H_2 had a pronounced effect on the activity of MSPC-5 and properties of PE;(3). New MgCl_2-Supported Single-Site Catalysts for Ethylene Polymerization In this work, a kind of new MgCl_2 support was obtained by anhydrous MgCl_2 co-milled with solid MAO, and it is a creative contribution. Then some single-site catalysts were supported on the new MgCl_2 support, and the resulted solid catalysts were tested in ethylene polymerization, the results indicated that: 1.XRD and IR analyses indicate that MAO does be coordinated with MgCl_2, which is in good agreement with the results obtained by XPS; 2.co-mlling time had no obvious effect on the texture of support after 12 hours; 3.In this work, MgCl_2 was co-milled with solid MAO for different hours, and then complex 3 was supported on these co-milled supports. It was found that co-milling time markedly influences the activity of solid catalysts, but it had negligible effect on the kinetic profile and the properties of resultant PE.

XPS研究结果表明，MAO不仅仅只和乙醇作用，MAO还与MgCl_2本身有一定的作用，这是一个极为重要的发现； 3、通过ICP和EDX表征，发现载体的脱醇温度直接影响着元素在固体催化剂中的含量及分布； 4、脱醇温度极大地影响着负载苯氧基亚胺类催化剂的活性和聚合物的性能，特别是原始载体经160℃活化4小时制备得到的固体催化剂MSPC-5的活性明显高于其他脱醇温度条件下制得的固体催化，并且催化剂寿命长，表现出稳定的动力学行为，最终获得了高堆密度(大于0.35g／ml)的球形聚乙烯颗粒； 5、本文选择MSPC-5为研究对象，考察了聚合反应参数对催化剂的活性及其聚合物的影响，研究发现：不同的烷基铝对催化剂具有非常重要的影响，特别足TIBA对MSPC-5的助催化活性最高，烷基铝的加入量有一个较佳值，聚合温度为80度时活性最高，H_2的加入使催化剂的活性明显降低且聚合物的分子量也减小；、新型氯化镁载体负载单活性中心催化剂催化乙烯聚合本文创造性采用固体MAO与无水氯化镁直接进行共研磨，制备出了一种的新型的氯化镁载体，并将该载体用于多种单活性中心催化剂的负载化研究，研究表明： 1、通过BET、XRD的表征，再次证实了MAO与MgCl_2之间具有直接作用，与XPS的研究结果相一致； 2、当研磨时间高于12小时时，延长研磨时间对载体的结构没有显著的影响； 3、将配合物3负载于共研磨时间不同的一系列载体上，乙烯聚合结果表明，尽管共研磨时间对负载催化剂的活性具有明显的影响，但是它对聚合物的性能以及催化剂的影响不明显。

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。

Based on projective geometry,the research works about 3D invariances extraction and application have been done in this thesis as following:(1) The basic theories and concepts in projective geometry are systematically summarized. It includes:the camera models of perspective imaging,projective collineation,cross ratio,a simple compare about invariance among some geometry transformations,fundamental matrix,epipolar and epipolar line in epipolar geometry,and so on.

基于射影几何理论，论文围绕3D不变特征的提取和应用进行了如下的研究工作：(1)系统总结了射影几何中的若干基础概念，包括：透视成像的相机模型、射影对应、交比不变量、基于不同几何变换下的不变量的简单对比、对极几何中的基础矩阵、对极点、对极线等。

It has to be computed by the host for the actual clock rate.

主控制器可以用来计算实际的时钟速率。

Let's see what you got.

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