Ostrowski type inequalities on H-type groups

The main aim of this paper is to establish an Ostrowski type inequality on H-type groups using the L^∞ norm of the horizontal gradient. The work has been motivated by the work of Anastassiou and Goldstein in [G.A. Anastassiou, J.A. Goldstein, Higher order Ostrowski type inequalities over Euclidean domains, J. Math. Anal. Appl. 337 (2008) 962-968].     

What is the maximum stretching for C–C single bond?

The objective of this work is to determine the maximum stretch of the C–C bond before it misses the character of single bond, employing both the Atoms in Molecules (AIM) and Electron Localization Function (ELF) methods. It was concluded that C–C distances up to 2.0 Å could be considered single bonds.     

Metric Distance Function and Profit: Some Duality Results

In this paper, we intend to establish relations between the way efficiency is measured in the literature on efficiency analysis and the notion of distance in topology. To this effect, we are interested particularly in the Hölder norm concept, providing a duality result based upon the profit function. Along this line, we prove that the Luenberger shortage function and the directional distance function of Chambers, Chung, and Färe appear as special cases of some l _p distance (also called Hölder distance), under the assumption that the production set is convex. Under a weaker assumption (convexity of the input correspondence), we derive a duality result based on the cost function, providing several examples in which the functional form of the production set is specified.     

Optimal convergence in naming game with geography-based negotiation on small-world networks

We propose a negotiation strategy to address the effect of geography on the dynamics of naming games over small-world networks. Communication and negotiation frequencies between two agents are determined by their geographical distance in terms of a parameter characterizing the correlation between interaction strength and the distance. A finding is that there exists an optimal parameter value leading to fastest convergence to global consensus on naming. Numerical computations and a theoretical analysis are provided to substantiate our findings.     

On accuracy and efficiency of constrained reinitialization

The reinitialization, which is required to regularize the level set function, can be computationally expensive and hence is a determining factor for the overall efficiency of a level set method. However, it often has a significantly adverse impact on the accuracy of the level set solution. This short note is meant to shed light on the efficiency and accuracy issues of the reinitialization process. Using just one clearly defined level set propagation test case with an analytical solution the solutions obtained using a recently proposed efficient lower‐order constrained reinitialization (CR) scheme and standard low‐ and high‐order reinitialization schemes are juxtaposed to evidence the superiority of the novel CR formulation. It is shown that maintaining the location of the zero level set during the reinitialization is crucial for the accuracy and that the displacement caused by standard high‐order reinitialization schemes clearly outweighs the benefit of the high‐order smoothing of the level set function. Finally, results of a three‐dimensional problem are concisely reported to demonstrate the general applicability of the CR scheme. Copyright © 2009 John Wiley & Sons, Ltd.     

基于深度约束的声速估算方法*

高精度的声速剖面数据是提高水下定位精度的关键。在无法精确获得声速剖面数据的情况下,该文提出了一种基于深度约束,同时根据浮标与水下目标的空间几何距离进行有效声速估算的方法。通过仿真模拟,将该文提出的方法与加权平均声速法、泰勒级数展开法和等效声速剖面法的定位结果进行对比分析。结果表明,新方法不需要依靠声速剖面数据,通过深度约束可有效地估算出声速值,其定位精度与等效声速结果相当,极大地提高了无声速剖面数据下的水下定位精度。     

New Investigation of Potential Acting on an Electron in a Molecule to Draw Molecular Faces

A new approach to calculate the potential acting on an electron in a molecule(PAEM) has been established for drawing the molecular face(MF) of a macromolecule, according to the classic point charge model and the atom-bond electronegativity equalization method(ABEEMσπ) for one electron in a molecule. We introduced a dynamic charge distribution from the view of a local electron movement in a molecule based on the new approach, and as further direct evidence, we calculated some physical quantities using the original ab initio method and the new method to verify the accuracy of the method, such as the boundary distance(BD), molecular face surface area(MFSA) and molecular reactivities indicated by the MFs for a variety of organic molecules. All the results by the new method are in agreement with the results by ab initio method.     

基于光谱诊断的热源间距对激光-脉冲GMAW复合焊等离子体物理特性影响研究

激光电弧复合焊中,热源间距会影响到等离子体物理特性,进而影响到焊接过程的稳定性及焊接质量。 基于Boltzmann作图法和Stark展宽法研究了不同热源间距下的激光-脉冲GMAW复合焊峰值阶段的温度场和电子密度分布,并结合高速摄影手段分析了热源间距对温度和电子密度的影响规律。 光谱诊断结果表明,随着热源间距的增大,激光等离子体的温度和电子密度都没有明显的变化;电弧温度出现下降,电弧电子密度则呈现先增高后降低的趋势。     

离心力和滑翔距离对于高超声速巡航飞行性能的影响

高超声速巡航飞行器(HCV)是21世纪国际空天技术竞争的焦点, 它的飞行性能可以用初始发射质量与广义有效载荷之比衡量. 文献[1]建立了该性能的耦合分析框架. 在这个框架下进一步考虑了离心力和滑翔距离两个重要因素的影响. 定量分析表明: 给定飞行距离, 对HCV飞行性能影响最大的是巡航速度, 其次是升阻比, 再次是巡航发动机比冲. 随着飞行距离的增加, 由于离心力和滑翔距离的计入, 火箭动力HCV的飞行性能大幅提高, 从近中程到远程均显著优于经典的最小能量弹道. 吸气式冲压发动机尽管比冲大幅优于火箭发动机, 但在巡航速度适用范围和飞行器升阻比方面, 均不及后者. 综合而言, 火箭动力HCV是现阶段非常有竞争力的选择.