光照光谱功率分布的估计和颜色分割

提出了应用有限维线性模型和双色反射模型和双色反射模型抽表示而物体颜色的本征特性的方法，首先估计出光照的光谱功率分布，再获取物体的表面光谱反射率，从而得到和光照与几何条件无关的归一化偏差光谱反射率，它仅反映物体的表面反射特性，可作为颜色分割和识别的可靠特征。     

旋转热管生物反应器的流场模拟研究

采用热管技术对传统生物反应器进行革新,自主开发出一种适用于多种生物反应的新型生物反应器,提出了将热管本身作为搅拌轴的设计思想,同时以计算流体力学(CFD)为基础建立旋转热管生物反应器的数学模型,计算了不同雷诺数下此类搅拌轴的功率准数,并得到了功率曲线。采用标准k-ε湍流模型成功模拟了反应器内的速度分布,为反应器的优化设计提供了基础。     

空地激光通信跟踪精度主要外界影响因素研究

为了分析空地激光通信外界因素对跟踪精度的影响情况,将平台振动、大气湍流和背景光三个主要影响因素归结到对跟踪精度影响的统一框架下进行了研究。使用实际测量得到的平台振动数据,建立空地激光通信跟踪仿真系统,分析了不同条件下,三种外界因素对跟踪精度的综合影响情况。在文中假设基础上,分析可知:粗跟踪单元可以较好的抑制地面运动平台的振动,保证激光能够进入精跟踪视场;中强度的湍流使精跟踪残差标准差增大4倍左右,如果试验地点选择在高海拔地区,大气湍流使精跟踪残差标准差增大2倍左右。     

Allometric scaling of countries

As huge complex systems consisting of geographic regions, natural resources, people and economic entities, countries follow the allometric scaling law which is ubiquitous in ecological, and urban systems. We systematically investigated the allometric scaling relationships between a large number of macroscopic properties and geographic (area), demographic (population) and economic (GDP, gross domestic production) sizes of countries respectively. We found that most of the economic, trade, energy consumption, communication related properties have significant super-linear (the exponent is larger than 1) or nearly linear allometric scaling relations with the GDP. Meanwhile, the geographic (arable area, natural resources, etc.), demographic (labor force, military age population, etc.) and transportation-related properties (road length, airports) have significant and sub-linear (the exponent is smaller than 1) allometric scaling relations with area. Several differences of power law relations with respect to the population between countries and cities were pointed out. First, population increases sub-linearly with area in countries. Second, the GDP increases linearly in countries but not super-linearly as in cities. Finally, electricity or oil consumption per capita increases with population faster than cities.     

Comparative study of electrochemical capacitance of multi-walled carbon nanotubes before and after chopping

In the work, short multi-walled carbon nanotubes (S-CNTs) were synthesized by chopping conventional μm-long multi-walled carbon nanotubes (L-CNTs) under ultrasonication in H₂SO₄/HNO₃ mixed acids. A comparative electrochemical investigation performed in 6 M KOH solution demonstrated that a specific capacitance (SC) of ca. 14.6 μF cm⁻² was delivered by the S-CNTs with the specific surface area (SSA) of 207 m² g⁻¹, much larger than that of ca. 10.1 μF cm⁻² for the L-CNTs with the SSA of 223 m² g⁻¹, the reason for which was that S-CNTs with two open ends, due to good ion penetrability, provided more entrances for electrolyte ions to access the inner surface easily through their shorter inner pathway so as to enhance their SSA utilization and geometric SC. The surface structure disruption of S-CNTs, owing to ultrasonication and oxidation during chopping process, deteriorated their electronic conductivity and resulted in an inferior power property in contrast to L-CNTs.     

Expected utility approximation and portfolio optimisation

Classical portfolio selection problems that optimise expected utility can usually not be solved in closed form. It is natural to approximate the utility function, and we investigate the accuracy of this approximation when using Taylor polynomials. In the important case of a Merton market and power utility we show analytically that increasing the order of the polynomial does not necessarily improve the approximation of the expected utility. The proofs use methods from the theory of parabolic second-order partial differential equations. All results are illustrated by numerical examples.     

Müntz spaces and special Bloch type inequalities

Abstract

In this paper, we are interested in classical Müntz spaces and their properties. We first reprove Müntz theorem and obtain the Clarkson–Erdös–Schwartz expansion in the nondense case for some general abstract Müntz spaces without invoking any blow up property, but using classical complex variables tools. We introduce new Bloch type Müntz spaces and investigate the validity of Bloch type inequalities in this framework.     

Positive solutions for boundary value problems of second order difference equations and their computation

We consider the following two classes of second order boundary value problems for difference equation:

     

Tempered stable Lévy motion and transient super-diffusion

The space-fractional diffusion equation models anomalous super-diffusion. Its solutions are transition densities of a stable Lévy motion, representing the accumulation of power-law jumps. The tempered stable Lévy motion uses exponential tempering to cool these jumps. A tempered fractional diffusion equation governs the transition densities, which progress from super-diffusive early-time to diffusive late-time behavior. This article provides finite difference and particle tracking methods for solving the tempered fractional diffusion equation with drift. A temporal and spatial second-order Crank-Nicolson method is developed, based on a finite difference formula for tempered fractional derivatives. A new exponential rejection method for simulating tempered Lévy stables is presented to facilitate particle tracking codes.     

区间合成模糊对策

给出了一种新的合成模糊对策模型——区间合成模糊对策,研究了区间合成模糊对策的区间稳定集、区间核心、区间Shapley值、区间Banzhaf-Coleman势指标以及与子区间模糊对策的关系。区间合成模糊对策作为一种特殊的模糊数合成模糊对策,对于研究其它具有模糊数的模糊合成对策有一定的参考价值。