Real-time two-dimensional wavelet compression and its application to real-time modeling of ion mobility data

Real-time data analysis is important in many applications. However, many chemometric algorithms have difficulty processing data in real-time. A novel real-time two-dimensional wavelet compression (WC²) has been developed to compress data as it is acquired from analytical instrumentation. The WC algorithm was enhanced so that data with an arbitrary number of points were compressed, and truncation or padding to a dyadic number was avoided. After compression, the noise level is reduced while useful chemical information is retained. A modified simple-to-use interactive self-modeling mixture analysis (SIMPLISMA) algorithm was applied to the wavelet-compressed data and the model was transformed back to the original representation while leaving the data compressed. The reduced size of the wavelet-compressed data furnished a faster implementation of SIMPLISMA that facilitates real-time acquisition.

This real-time WC²-SIMPLISMA algorithm was applied to the rapid identification of explosives by ion mobility spectrometry (IMS). SIMPLISMA resolved concentration profiles and component spectra were displayed simultaneously while the data was acquired from an ion mobility spectrometer with a LabVIEW virtual instrument (VI).     

Approximation of dense-n/2-subgraph and table compression problems

We develop improved approximation algorithms for two NP-hard problems: the dense-n/2-subgraph and table compression.Based on SDP relaxation and advanced rounding techniques,we first propose 0. 5982 and 0. 5970-approximation algorithms respec- tively for the dense-n/2-subgraph problem (DSP) and the table compression problem (TCP). Then we improve these bounds to 0. 6243 and 0. 6708 respectively for DSP and TCP by adding triangle inequalities to strengthen the SDP relaxation.The results for TCP beat the 0. 5 bound of a simple greedy algorithm on this problem,and hence answer an open question of Anderson in an affirmative way.     

A Lagrangian Discontinuous Galerkin‐type method on unstructured meshes to solve hydrodynamics problems

This paper concerns a new Lagrangian Discontinuous Galerkin‐type method to solve 2D fluid flows on unstructured meshes. By using a basis of Bernstein polynomials of degree m in each triangle, we define a diffusion process which ensures positivity and stability of the scheme. The discontinuities of the physical variables at the interfaces between cells are solved with an acoustic Riemann solver. A remeshing/remapping process is performed with a particle method: the remapping is locally conservative and its accuracy can be adapted to the accuracy of the numerical method. Copyright © 2004 John Wiley & Sons, Ltd.     

堆积颗粒系统中颗粒级配的优化

堆积颗粒系统中的颗粒级配在许多产品的生产中起着重要的作用,它不仅对产品的最终性质有很大影响,而且对许多工艺性质起决定作用.此文首先以不定型耐火材料生产中如何选取合理颗粒级配为背景,把紧密堆积理论与实际生产条件及工艺要求相结合,建立了堆积颗粒系统中颗粒级配的优化模型.然后证明了模型的合理性,并结合模型的特征、针对实际情况构造出了求解该优化模型的算法.计算结果表明所给的优化模型及算法对于堆积颗粒系统中颗粒级配的优化是可行的.     

Determination of heats of the thermal gas-phase formation of intermediates with overlapping spectra

The previously proposed procedure for the determination of heats of thermal gas-phase reversible reactions using kinetic spectroscopy was extended for the case of the formation of two intermediate species with overlapping UV spectra. The model problem was solved, and the error of the method was estimated. Applicability of the method was shown for the reversible formation of trimethylenemethane (TMM) and but-1-ene-2,4-diyl from methylene-cyclopropane. Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 1, pp. 28–34, January, 1998.     

高阶p-Laplacian算子的边值问题正解的存在性

本文主要用锥拉伸锥压缩方法讨论了有关p-Laplacian算子的高阶微分方程 边值问题正解的存在性.     

电子在α-磁铁中的运动描述

 由于α-磁铁具有能量选择和束团脉宽压缩的功能，它是RF-gun注入器中一个非常重要的组成部分。描述了α-磁铁的结构特点，讨论了电子在α-磁铁中运动的归一化方程。采用数值计算的方法给出了与电子运动能量无关的理想轨道运动方程，并导出了α-磁铁的主要性质。     

分形图像压缩技术的数学基础

分形图像压缩技术是近年来产生的新的黑种人压缩技术，它以分形几何为数学基础。本文综述了这一技术的基本原理、数学基础及最新进展，包括迭代函数系统理论，迭代函数系统反问题，图像生成算法，基本思想与实现技术等等，同时也提出了一些有待深入研究的方向。     

螺旋型爆磁压缩发生器初始电性能的高频分析

 从电流扩散方程和磁扩散方程出发，研究了在瞬态过程中螺旋型爆磁压缩发生器(HMFCG)的电流密度在螺线管导线中的分布以及感应电流密度在金属套筒中的分布情况，分析计算了爆磁回路初始充电过程中频率对HMFCG电感和电阻的影响，计算结果与实验测量吻合；这为进一步完善校正程序，更好地描述爆磁压缩过程奠定了基础。     

SINGLE MACHINE SCHEDULING WITH CONTROLLABLE PROCESSING TIMES AND COMPRESSION COSTS ： PROOF OF THEOREMS

This report is virtually the appendix part of the author‘s previous paper which ineludes the proofs for the theorems and lemmas.