Symmetric alteration of four knots of B-spline and NURBS surfaces

INTRODUCTION Modification of knots of a B-spline curve changes the shape of the curve. In some recent pub-lications (Juhász and Hoffmann, 2001; 2003; Hoff-mann and Juhász, 2004; Li and Wang, 2005), the authors studied the effect of the alteration of a single knot on the shape of the curve. Hoffmann (2004) and Li & Wang (2006) applied these theories into the constrained shape modification of B-spline and NURBS curves. Juhász (2001) and Hoffmann & Ju-hász (2005) studied the effe…     

基于共轭展成法的直齿锥齿轮三维参数化建模

基于共轭展成法啮合原理和微分几何的理论,推导出了平面产形轮和被加工锥齿轮的齿廓方程,利用Pro-E中参数化建模的方法,在直角坐标系Cartesian中编制齿廓曲线方程,最终生成了整体模型.通过建模的过程证明了建立数学模型的正确性,也进一步拓宽了在应用软件方面建立精确锥齿轮三维模型的途径.     

基于Logistic增长曲线模型的大学在校学生数量发展预测

由1983-2009年高等教育在校学生数的增长趋势图可以发现,我国高等教育规模发展表现为一种S形增长,为此构建logistic增长曲线模型,并结合1983-2009年数据对未来10年我国高等教育在校学生数进行预测。预测结果略高于《国家中长期教育改革和发展规划纲要》的规划值,它从一个侧面印证了规划值的科学性,也说明了高等教育规模规划存在微调的可能性。     

传递对准中基准信息时间延迟的估计与补偿

针对传递对准过程中基准信息时间延迟对传递对准精度的影响,给出了一种基于角速率积分最小方差曲线拟合的时间延迟估计方法.首先,记录一段时间内主、子惯导陀螺传感器的输出数据,并对该数据进行积分.然后,定义基准信息可能存在的时间延迟的最大范围,并在该范围内对主惯导数据进行逐点移位,计算曲线各对应点的差的平方并求和.最后,通过最...     

Subdivision surface modeling system based on arbitrary topological curves network and combined subdivision

Arbitrary topological curve network has no restriction in topology structure,so it has more powerful representing ability in defining complex surfaces.A complex surface modeling system is presented based on arbitrary topological curve network and the improved combined subdivision method,its functions including creating and editing curve network,and generating and modifying curve network's interpolated surface.This modeling system can be used to the process of products'concept design,and its applications is ...     

4-component 2-D CFDFD method in analysis of lossy circular waveguide with fractal rough surface

In this paper, equivalent surface impedance boundary condition (ESIBC), which takes fractal parameters (D, G) into SIBC, is implemented in the 4-component 2-D compact finite difference frequency domain (2-D CFDFD) method to an- alyze the propagation characteristics of lossy circular waveguide with fractal rough surface based on Weierstrass-Mandelbrot (W-M) function. Fractal parameters’ effects on attenuation constant are presented in the 3 mm lossy circular waveguide, and the attenuation constants of the fi...     

一种基于能量谱葡萄糖浓度检测新方法的研究

葡萄糖浓度检测在治疗糖尿病过程中起着重要作用,采用近红外光谱方法测量葡萄糖浓度是国内外研究的热点．通过实验的方法,用800nm到1600nm的近红外光照射葡萄糖水溶液,对不同葡萄糖浓度对应的能量谱进行分析,发现在1111nm处的吸收峰特征比较明显,与葡萄糖浓度有着对应的关系,通过指数曲线拟合,建立葡萄糖浓度检测的数学模型．     

低温固液相图的制作

针对传统实验“二元合金相图”在实验中存在的操作困难,精准度差和环境污染等问题,改用熔点较低的物质制作同液相图,用凝固点降低测定装置系统制作步冷曲线,采用燃烧热实验贝克曼温度测定装置实现了样品冷却过程温度数据的在线采集及步冷曲线的同步显示,改进后实验温度精度由0．2℃精准到0．001℃,实验相对误差由原来约3％降到约1．5％,操作更简便易行,且用药量减少,实验时间短,安全,基本无污染物存在与排放,可以替代原金属相图实验．     

Effective extraction of elastase from Bacillus sp. fermentation broth using aqueous two-phase system

INTRODUCTION Aqueous two-phase system (ATPS) is widely used in biochemistry and biotechnology for purifica- tion of proteins (Diamond and Hsu, 1992; Balasubramaniam et al., 2003), enzymes (Pan et al., 2001; Bim and Franco, 2000), amino acids (Li et al., 2002), antibiotics (Yang et al., 1994; Guan et al., 1994), nucleic acids (Ohlsson et al., 1978; Kimura, 2000), aroma compounds (Marco et al., 2000) and lactic acid (Planas et al., 1998). ATPS is mainly composed of two-incompatible p…     

Hilbert‘s Sixteenth Problem and Its Generalization

This paper deals with Hilbert‘s 16th problem and its generalizations.The configurations of all closed branches of an algebraic curve of degreee n are discussed.The maximum number of sheets for an algebraic equation of degree n and the maximum number of limit cycles for a planar algebraic autonomous system are achieved.The author also considers different generalizations and some related problems.