In this paper, we have made a systemic theoretic research on modelling and reshaping several types of spline curves/surfaces in CAGD. And some creative productions are given as follows. At first, the uniform C-B-spline basis is proved to be a normalized totally positive basis, and can be extended to a normalized B-basis. C-B-spline and C-Bézier basis, similar to B-spline basis and Bézier basis in algebraic space, are two bases in algebraic trigonometric space.

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The basic approach of protecting people from being hurt or killed in an accident is to improve crashworthiness of vehicles. This paper starts with discussing theories and methods for vehicle passive safety design, which included experiential methods, analytic methods, multi-body dynamics methods, crash test methods and the finite element method. Emphasis will be paid to the basic FEM theories and algorithms of impact problems. Topics discussed include the governing equation, element discretization, hourglass control, time integration, material model, shell element algorithms and contact-impact algorithms. For more reliable simulation results, this paper then conducts study on how to accurately get material model parameters by combining the FEM method with experimental method, and develops relevant material test machine and parameter calculating software. Based on that, basic typical impact simulation and test validation study are conducted. On the basis of the above work, the paper studies the thin-shell structures'crashworthiness, which was affected by the following factors: spot-weld features, shell thickness, cross-section and pre-deformation. As to vehicle parts'crashworthiness, the paper conducts simulation study of designing energy-absorbing steering system and adaptive airbag system. A practical energy-absorbing steering wheel is designed as an example. In further depth research, the paper suggests several inverse quantificational methods for vehicle crashworthiness design based on the ideal crash characteristics. The above theories and methods are applied with good results through several practical vehicles' crashworthiness design and improvement.

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In the paper, the researches and conclusions are:The basic theory and technique ofgeography information system, Introduce the history of the GIS technique developmentand it develops the trend, the GIS modernizes the meaning of the construction and thepurpose and the meaning of the topic researches to the our army artillery.The design ofartillerist numeric map, Make use of the soft strong graphics function of the SuperMapgeography information system, from how made the numerical map of artillery tocommence, carried on the processing and processed the piece to the artilleryappropriative paper quality diagram to manufacture the numerical map of artillery.Themold of choosing the position of artillerist and excavating the position of spacedata;Rules of space clustering analyzing and space relationship on the basis ofmathematics configuration;Choosing the path of positing convert;optimalpath arithmetic on the basis of chart theory and realize optimal path analyze.

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The former three chapters are about theoretical research, and the forth chapter is about empirical research. The theoretical research part generalizes the theoretical basis, theoretical model and the concept of city competitiveness both at home and abroad. According to these theories, the paper introduces the complete and explicit definition of city competitiveness and brings in a new city competitiveness model .The paper emphasizes on empirical research using the data in 2004 as sample, whose objects are ten big cities:Guangzhou, Shenzhen, Tianjin, Shenyang, Dalian, Nanjing, Hangzhou, Wuhan, Chongqing and Chengdu. Firstly, on the basis of mean square deviation method, it finds out both the scores of integrated competitiveness of cities and other factors, based on that analyze the relationship between them. And then the paper computes the scores of competitiveness of cities above by principal component analysis and sorts out them for assessment.

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An original basis is constructed on the space in this paper. This basis has the similar properties to Bézier basis of the endpoint and interpolation. Then H-Bézier basis is defined based on the space, also the formula of recursion is given when. Next the properties are discussed.

該文從上構(gòu)造一組初始基，該基具有類似Bézier基的端點性和插值性，在此基礎(chǔ)上定義空間上的H-Bézier基函數(shù)并給出了的遞推公式www.久久,com，討論了該基所具有的性質(zhì)人人草操。

Basis to support this paper are very abundant. In theory there are evaluation of Scriven, constuctivism and multiple intelligence theory. Mostly act as a direction of building indexes' evaluation system; in practice, the researches of courseware evaluation methods that have been widely applied inside and outside our country to get very well practical evaluating method basis. Mostly we use multiple-parameters quantitative evaluation method which instructs evaluation methods in this paper. Most researches in this paper have two sides.

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Secondly, referring to the present study on the connotation of the medium-income group and its measurement of dividing, the paper puts forward the basis and method of the sexenary division of the citizens and defines of the medium-income group as a group of people whose income is just lower than the millionaire and billionaire, Similar to the "middle class" popular in the western countries in economy and politics. As tar as the measurement is concerned, the paper sets up the measurement considering both the quality and quantity on the basis of income. From the point of view of quality, the medium-incomes should be able to pay for the real estate, life-lone education, medical care and luxurious goods all or mostly by their personal income, inheritance or loan form banks. In addition, they should be capable of keeping their income rising steadily.

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The paper reviews the development in the analytical theory of mechanical behavior of composites, pointing out the problems existed, presenting creatively the concept of yarn state, solving the descriptive problem of perform structure of any woven composites and laying the foundation for predetermining the elastic behavior of 3-d woven composites with computer. On the basis of yarn state, the relative cross section deformation theory is introduced, the yarn cross section deformation is studied, and the experiential formula is described in the paper on the basis of experiment. The crimping state of yarn is studied, the classical "straight warp view"is modified, and the crimp height value of crimped yarn is studied. At the same time, with shrinkage rate sine method, the paper proposes the idea which imitate the shape of crimped yarn. With the third power template curve, the paper describes the microgeometry structure of fabric, finding a brief and precise approach for the calculation of mechanical behavior of composites.

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