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Among those; studies, Liu and Bek have obtained many important results for the theory and applications of Banach spaces and their geometry on complex number,(see [3],[41])Here, we have investigated the TP modulus of convexity and TP modulus of smoothness, on the one hand, we have defined a class of new spaces called uniformly TP convex ,on the other hand, we have extended martingale inequalities and the martingale spaces.This article is divided into four parts, in the first part, we define the TP modulus of convexity and TP modulus of smoothness of Banach space, and prove that the space which is characterized by uniform convexity is same as the space which is characterized by TP uniform convexity. Then we give TP q-uniformly convex and TP p-uniformly smoothable characterization of the Banach space. At the same time, we prove the famous renormed theorem.

本文分为四部分,第一部分在Banach空间上定义了一个新的TP凸性模和TP光滑模并证明了在Banach空间上它分别和一致凸性和一致光滑性刻划的空间是同构的,即如果Banach空间X是一致TP凸的充分必要条件是存在一个等价范数,使得在此范数下,它是一致凸的;Banach空间X是一致TP光滑的充分必要条件是存在一个等价范数,使得在此范数下,它是一致光滑的,我们还分别得出了判定一致TP凸和一致TP光滑的一些充分必要条件,同时还证明了箸名的重赋范定理。

The content of this course is divided into four chapter, the normed linear space and bounded linear operator on the normed space; the character of finite dimensional linear space; the basic theorems on Banach space.

本课程主要分为四章,赋范线性空间与内积空间;赋范线性空间上的有界线性算子,有限维赋范线性空间的特征。Banach空间中的基本定理:泛函存在定理,一致有原理,开映象,闭图象、逆算子定理。

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。

On the basis of theories of high-level visual processing subsystems and by following Sternberg's element-adding study pattern, serial studies were made to investigate the plasticity of visual cognitive ability in space. The results show that different degrees of plasticity and stability do exist in the cognition processing of visual space. Moreover, plasticity and flexibility in judgments of appearance swirl and quantitative spatial relationship and in command of visual characteristics are found greater in these studies than those obtained by means of appearance scanning, movement inference and judgment of categorical space relation.

视觉空间能力认知可塑性系列研究以高水平视觉加工子系统理论为基础,以斯滕伯格的加因素法为研究范式,通过对视觉空间任务的练习效应与年龄效应的检验表明,视觉空间认知加工中存在着的不同程度的可塑性与稳定性,结果显示出表象旋转、数量空间关系判断和视觉特征提取任务明显要比表象扫描、运动推断以及类别空间关系判断表现出较强的可塑性和易变性特点。

The proof is given that the category of linear fuzzy neighborhood spaces in the sense of Katsaras is isomorphic to that of co-towers of topological vector spaces and the intersection of the category of linear fuzzy neighborhood spaces with the category of type fuzzy topological vector spaces is the extract category of induced fuzzy topological vector spaces.

证明了Katsaras的线性fuzzy邻域空间范畴与分明线性拓扑空间的余塔空间范畴同构,而Katsaras的线性fuzzy邻域空间范畴与型fuzzy拓扑线性空间范畴的交集恰为诱导的fuzzy拓扑线性空间范畴。

Dongpeng has "casting the brand with quality, promoting the brand with science and technology, promulgating the brand with public praise" as its tenet, introduces the most advanced equipment and technology in the world. Through independent research and development, it has won 192 national patent technologies, successfully developed a number of new technologies to fill the gaps in this industry; successfully launched the new products, such as vitrified tiles of "Soluble Salts","Super White,""Double Charge,""Fly Sky Stone","Sand stone","Corallite", which are popular to consumers and have launched a decorative trend of "all yellow" and "all white" in China; it has taken a lead to launch the products such as "Carrara","Navona"; antique tiles of "Zodiac","Pininfanina","Bayadela". At the same time, it has integrated modern high-tech products with oriental ceramic culture, melted into the artistic life of the people, created the flexible spaces such as cultural home space, fashionable commercial space, entire kitchen bath space, exhibition space for industrial products, hanging space of external walls and entire bath sanitation living space, etc., which leads the trend of this industry.

东鹏以品质铸就品牌、科技推动品牌、口碑传播品牌为宗旨,引进世界最先进的设备及技术,经自主研发,先后获得国家专利技术192项,成功研发了多项新技术填补了行业空白;成功推出玻化砖&金花米黄&、&天山石&、&银河石&、&飞天石&、&砂岩石&、&珊瑚玉&&金碧辉煌&等受消费者推崇的新产品,掀起全国&一片黄&与&一片白&的装饰潮流;领先推出代表中国乃至国际顶尖技术的&卡拉拉&、&洞石&、&纳福娜&洞石等产品;仿古砖&花样年华&、&宾利法尼亚&、&芭雅黛拉&等产品,同时把现代高新技术产品和东方陶瓷文化结合起来,开发了具有民族文化的&艺术壁画&,融入人们的艺术生活,缔造了家居文化空间、时尚商用空间、整体厨卫空间、工业品展示空间、外墙干挂空间及整体卫浴生活馆等灵性空间,引领着行业潮流。

On the basis of the former text, the author summarized that modern and traditional courtyard garden have association in spatial structure and spatial organization, and bring forward measures form the spatial inscape and spatial design of both inheritance and innovation.

笔者还在前文研究的基础上,总结出现代庭园和传统庭园在空间构成与空间组合方式以及空间类型与空间意向上存在相关性,并从空间构成要素和空间设计方法两方面提出继承与创新的措施。

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This method first maps training data into a high dimensional feature space through kernel function concept in Support Vector Machine and constructs orthogonal space in the feature space. Then it maps the data from feature space into the orthogonal space and computes Fisher criterion based global orthogonal discriminants.

首先应用支持向量机中核函数的概念,将样本隐式地映射到特征空间,然后构造特征空间的正交空间,再将特征空间样本映射到特征空间的正交空间,求解基于Fisher的全局正交鉴别矢量集。

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Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时,他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

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