An Accelerated Osculation Method and its Application to Numerical Conformal Mapping

A variant of the classical Koebe-logarithm osculation algorithm for conformal mapping is obtained by inserting a hyperbolic sine at an intermediate step. The modulus of convergence is calculated, and numerical experiments are reported, in particular in comparison with the method of Grassmann [E. Grassmann (1979). Numerical experiments with a method of successive approximation for conformal mapping. J. Applied Mathematics and Physics, 30, 873-884.]. Either procedure may work better, depending upon the domain. Further numerical examples show how the osculation method can be coupled to faster converging algorithms (which tend to work best for nearly-circular domains), thus making feasible computations which would not be accessible by either method alone.     

A Class of Combined Relaxation Methods for Decomposable Variational Inequalities

Combined relaxation methods are convergent to a solution of variational inequality problems under rather mild assumptions and admit various auxiliary procedures within their two-level structure. In this work, we consider ways to construct decomposition schemes within one class of combined relaxation methods, which maintain useful convergence properties. An application to primal-dual variational inequality problems is also given.     

碲锌镉(Cd1-yZnyTe)晶体Zn组分的显微荧光光谱研究

利用激光显微Raman光谱仪测量了5块碲锌镉晶片的显微荧光光谱,通过对来自碲锌镉材料带隙的荧光峰进行拟合,得出碲锌镉材料Eg值,从而可以计算出材料的Zn组分值;利用激光显微Raman光谱仪的定峰位X-Y平面扫描技术,可以便捷和无损伤地给出碲锌镉晶片的Zn组分分布图。     

激光诱导击穿光谱技术成分面扫描分析与应用

为分析和检测铁矿石表面多成分的分布情况,采用532 nm Nd∶YAG脉冲激光,设计面扫描分析方法,结合自行开发的软件,首先对标准样品进行面扫描分析,建立定标曲线,说明元素含量与谱线强度的关系。然后对由标准样品压制的表面元素含量分布不均匀的样品进行面扫描分析,生成二维分布图,并与样品表面形貌进行比较,验证了分析方法的正确性。最后以100 μm的分辨率对天然铁矿石样品表面14 mm×11 mm范围内进行面扫描分析,得到其表面Ca,Al,Ti和Mn四种元素的分布情况,并将分析结果与铁矿石表面形貌相比较。结果表明,激光诱导击穿光谱技术作为一种成分分析方法,可以对不均匀样品的表面成分分布情况进行定性分析。     

L-fuzzy商群的L-fuzzy同构定理

给出了L-fuzzy群的L-fuzzy同态基本定理。同时建立了L-fuzzy商群的L-fuzzy同态和L-fuzzy同构定理。     

结构拓扑优化局部性能约束下轻量化问题的互逆规划解法

瞄准应力和疲劳两类局部性能约束的结构拓扑优化问题,概括为分部、化整和集成3种解法和交融的3种解法.类比应力约束推导了疲劳寿命情况,一为满疲劳公式,二为疲劳寿命约束全局化的结构寿命概念和相应解法.在倒寿命概念下,实现了疲劳寿命约束与应力约束的规格统一.补充和完整了已有的局部性能约束解法,属于单目标模型,有分部、化整、集成...     

A method of developing regional road traffic noise management strategies

Road traffic noise management strategies or noise action plans are a necessary tool for pro-active road traffic noise management. A method is proposed for regional scale noise action plans, in part using noise mapping, which is flexible towards various data qualities. A six step method is proposed which links GIS data to road traffic noise calculation methods with the final strategies being presented in GIS format. A ‘Parcel Priority Index’ and a ‘Link Priority Index’ are presented as key variables in the production of regional strategies and planning visions on a road link basis. The noise management strategy method presented is used on a large regional area in South East Queensland, Australia which covers seven local government areas. The results presented indicate the method is successful in prioritising road links equitably for detailed road traffic noise management actions.     

N-Centralizing Mappings in Semiprime Rings

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广义复数上的函数

本文用复变函数方法统一讨论既含椭圆型也含双曲型的一类线性偏微分方程。可以看到它们的许多个性寓于其共性之中。