Estimates in surfaces with positive constant Gauss curvature

We give optimal bounds of the height, curvature, area and volume of -surfaces in bounding a planar curve. The spherical caps are characterized as the unique -surfaces achieving these bounds.

     

Shell Analysis and Effective Disorder in a 2D Froth

The static and evolutionary properties of two-dimensional cellular structures, or froths, are discussed in the light of recent work on structuring of the froth into concentric shells. Of interest is the dual role of a topological dislocation (defect) in an otherwise uniform froth, considered both as a source of disorder and also as a source generating a shell-structured froth. We present simulations on an initially uniform hexagonal froth. A defect is introduced by forcing either a T1 or T2 process in the stable structure, after which the froth is allowed to evolve according to von Neumann's law. In the first case, topological inclusions are found in the first few layers early in the evolution. In the second case, no inclusions appear over the entire evolutionary period. The growing disorder (as measured by the second moment of the side distribution, ₂) is isotropic. For the special case of a T2-formed froth in a uniform network, the SSI structure is retained with ₂0 only for the zeroth, first, and second layers. The ratio between topological perimeter and radius of the shells is close to 6, the value for a hexagonal froth.     

Spatial Carrier Bi-frequency Fourier Transform Profilometry for the 3-D Shape Measurement of Object with Discontinuous Height Steps

1 IntroductionProjecting a single frequency lfringe pattern upon an Object and observing itsdeformation from a different view angle has been a common method for various threedimensional shape measurement techniques. An autpmatic analysis of the fringepatterns is normally carried out either by the FOurier transform method[IJ or by phasestepping['] of the fringe patterns. HOWever, these techniques have a disadvantage ofprincipal importance, the so-called indetedrinaCy tO a factor Of Zap, or …     

多项式模上全次数除法及其在CAGD中的应用(Ⅰ)

本首先介绍了利用Ｇｒｏｅｂｎｅｒ基求解Ｓｙｚｙｇｙ模生成元的方法,在对方法做出进一步分析的基础上,给出了一元模上的多项式辗转相除法,这种除法相对于已有的方法有许多优点。     

虹及二次虹的形成原理

本文由光的折、反射出发,通过求光的散射极值,得出彩虹在天空的高度,并分析二道彩虹、第三道彩虹、全虹出现的可能性及它们的位置。     

Interfacial differences in enhanced schottky barrier height Au/n-GaAs diodes deposited at 77 K

The use of cryogenic temperatures (∼77 K) during Au Schottky contact deposition onto n-GaAs produces an increase in barrier height from 0.73 eV for room temperature diodes to 0.82 eV. Not all Schottky metals show this enhancement—for example Pt and Ti do not show any significant change in barrier height whereas Au, Pd and Ni show increases between 7 and 18%. We used X-ray reflectivity to show that the main difference between Au deposited at 77 K and room temperature is a decreased metal roughness while the interfacial roughness between the Au and GaAs is basically the same. As the diodes are annealed to 300 °C both the difference in barrier height and interfacial roughness is lost. This is a simple method with potential for improving the performance of GaAs metal-semiconductor-field-effect-transistors (MESFETs).     

影响青少年身高生长因素分析

目前社会上流行各种各样的增高方法,其中很多是毫无科学道理的,存在严重的误导消费行为。影响青少年身高增长主要因素很多,如睡眠、体育锻炼和营养补钙等,注意这些可以为青少年拥有理想身高提供帮助。中国城市儿童普遍缺乏体育锻炼及睡眠不足应引起高度重视。     

低复杂度高度场的通视性研究及快速光照计算

为快速判断高度场场景点的通视性和可见范围, 满足交互式应用的需要, 提出低复杂度高度场基于可见二叉树的凸包树简化方法。通过对高度场数据在8个方向的线性扫描, 确定每个高度场数据点的最大方位角, 构造凸包树型结构; 对凸包树信息进行分析, 构造可见性二叉树作为方向扫描存储结构, 在光照计算过程中有效提高可见点的搜索算法效率; 结合阴影图的间接光照计算, 实现了交互式帧率的动态低复杂度高度场绘制效果模拟, 降低计算成本。     

高度场格点距平的长期统计预报试验

采用多通道奇异谱分析和相似预报方法，建立了长期统计预报模型．以７００ｈＰａ前期位势高度场显著时空主分量为预报因子，直接预报后期高度场格点距平的类别，由此获得了一定的预报技巧     

Points of Bounded Height on Equivariant Compactifications of Vector Groups, I

We prove asymptotic formulas for the number of rational points of bounded height on certain equivariant compactifications of the affine plane.