在几何和参数上表示同一条曲线的两条有理NURBS曲线的权与控制顶点之间的关系

The paper discusses the relationship between weights and control vertices of two rational NURBS curves of degree two or three with all weights larger than zero when they represent the same curve parametrically and geometrically, and gives sufficient and necessary conditions for coincidence of two rational NURBS curves in non-degeneracy case.     

利用小波变换进行海上目标识别研究

对海面舰船目标类型的识别,通常采用目视判读的方法。由于目视判读的方法不利于大面积侦察任务的快速识别,所以根据海上目标所具有的背景单一、结构复杂的特点,提出了利用小波变换所具有的多分辩率、易于消除噪声、运算方便的特点来提取舰船边缘特征,建立舰船结构特征数据库,实现舰船目标类型的自动判读。试验证明效果很好。     

Viscosity Characteristic in Metallic Melts with Medium／Short-Range Order Structures

Viscosities and liquid structure of alloys Cu75Al25, Cu87Sn13 and Al-12.5%Si and pure metals Cu and Sn are investigated by using torsional oscillation viscometry and high temperature x-ray diffractometry. The viscosities of pure metals and eutectic alloy melts along with the short-range order structure are found to follow the Arrhenius law in a wide range of temperature above the liquidus. The breakpoints in Arrhenius plots emerge when the structures of alloy melts are transformed from the medium-range order structure to the short-range order structure. It has been found that the change of the viscosity of the metallic alloys is a characteristic of microstructure transformation in the related melts.     

同步荧光法测定食品中维生素B1

本文研究了食品中维生素Ｂ１的同步荧光法测定条件，采用氯化钾－乙醇作柱层析洗脱液，碱性介质中氧化后立即调为中性，并加入表面活性剂ＯＰ对体系增稳增敏，取代丁醇萃取，经济方便，用于几种粮食样品的测定，结果满意。     

三角变换的策略

三角变换是高中数学的一个难点 ,内容杂 ,技巧多 .新教材的此部分有所缩减 ,但题型 ,方法 ,技巧未变 ,老师虽讲了三角变换中的“五化”即“化角” ,“化名” ,“化数” ,“化幂” ,“化式”等多种题型与技巧 ,但仍不知思考问题的方向 .其实三角变换有一种策略 ,即“化异为同” ,解三角问题时首先观察其不同之处 ,然后寻找化同之方法与途径 .以下例谈解题策略 ,望能对解题有所帮助 .例 1　 (1996年昆明数学竞赛题 )已知ｓｉｎ(ｘ +2 0°) =ｃｏｓ(ｘ + 10°) +ｃｏｓ(ｘ - 10°) ,求ｔａｎｘ的值 .分析　首先观察已知式与所求式ｔａｎｘ的不…     

一组积分方程的准确解

本文求出了其核含有参数及任意函数的一组积分方程的准确解,并初步讨论了解的性质。     

一种新型的二元光学器件——多位相光束分束器的制作

本文报道了用于多光束分束器的反射式16位相值二元光学器件的制作。该二元光学器件把一束光束分成5×5光束阵列。测量的衍射效率为76.16%,接近理论设计值79.68%。该二元光学器件的有效孔径为10mm×10mm。     

基于正弦灰度变换的X光图像增强

介绍了灰度变换法的几种形式 ,提出了一种正弦非线性变换法 ,对三幅数字X光医学图像进行了处理 ,获得了令人满意的对比度增强效果 ,证明该方法有效而实用     

~ Transform Demonstration of Dark Soliton Solutions Found by Inverse Scattering

One of the basic problems about the inverse scattering transform for solving a completely integrable nonlinear evolutions equation is to demonstrate that the Jost solutions obtained from the inverse scattering equations of Cauchy integral satisfy the Lax equations. Such a basic problem still exists in the procedure of deriving the dark soliton solutions of the NLS equation in normal dispersion with non-vanishing boundary conditions through the inverse scattering transform. In this paper, a pair of Jost solutions with same analytic properties are composed to be a 2 × 2 matrix and then another pair are introduced to be its right inverse confirmed by the Liouville theorem. As they are both 2 × 2 matrices, the right inverse should be the left inverse too, based upon which it is not difficult to show that these Jost solutions satisfy both the first and second Lax equations. As a result of compatibility condition, the dark soliton solutions definitely satisfy the NLS equation in normal dispersion with non-vanishing boundary conditions.     

从高考试题的改变看等效变换的应用

 等效变换并不是一个新鲜名词,但是它的应用却有许多新花样,它是考查学生综合素质和能力的一种有效途径。教育部在《普通高校招生制度改革方案》中提出了“三个有助于”和“四个方面”的总体改革方案,总体上将更加注重对考生能力和素质的考查。分析2000年各地及全国高考理科综合能力测试卷,我们不难发现,等效思维在其中的作用。而等效变换的思路只有在对物理原理理解透彻的基础上,才能灵活运用,它是考查学生综合素质和能力的一种有效途径。