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991.
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高中物理(人教版)教材第三册先后出现了光电效应和康普顿效应这两个内容,作为光具有粒子性的重要证据来学习.为了解释光电效应中的极限频率和瞬时性问题,爱因斯坦假设了这样一个情景:一个电子只能吸收一个光子的能量,而且必须是整份吸收,即是说, 相似文献
994.
激光诱导击穿光谱数据特征自动提取方法研究 总被引:1,自引:0,他引:1
根据激光诱导击穿光谱(LIBS)展宽主要为非线性Lorentz函数模型,利用Levenberg-Marquardt(L-M)算法对该理论模型中的待定参数进行优化估值,扣除了光谱信号中的连续背景,校正和还原了峰位和峰强,并对拟合数据点自动提取方法进行了分析;以MatrixVB与VB混合编程相结合,实现了基于L-M算法的L... 相似文献
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Eduardo lvarez-Miranda Alfredo Candia-Vjar Xu-jin CHEN Xiao-dong HU Bi LI 《应用数学学报(英文版)》2014,30(1):1-26
Given a connected graph G=(V,E)with a nonnegative cost on each edge in E,a nonnegative prize at each vertex in V,and a target set V′V,the Prize Collecting Steiner Tree(PCST)problem is to find a tree T in G interconnecting all vertices of V′such that the total cost on edges in T minus the total prize at vertices in T is minimized.The PCST problem appears frequently in practice of operations research.While the problem is NP-hard in general,it is polynomial-time solvable when graphs G are restricted to series-parallel graphs.In this paper,we study the PCST problem with interval costs and prizes,where edge e could be included in T by paying cost xe∈[c e,c+e]while taking risk(c+e xe)/(c+e c e)of malfunction at e,and vertex v could be asked for giving a prize yv∈[p v,p+v]for its inclusion in T while taking risk(yv p v)/(p+v p v)of refusal by v.We establish two risk models for the PCST problem with interval data.Under given budget upper bound on constructing tree T,one model aims at minimizing the maximum risk over edges and vertices in T and the other aims at minimizing the sum of risks over edges and vertices in T.We propose strongly polynomial-time algorithms solving these problems on series-parallel graphs to optimality.Our study shows that the risk models proposed have advantages over the existing robust optimization model,which often yields NP-hard problems even if the original optimization problems are polynomial-time solvable. 相似文献
998.
This paper discusses“geometric property (T)”. This is a property of metric spaces introduced in earlier works of the authors for its applications to K-theory. Geometric property (T) is a strong form of “expansion property”, in particular, for a sequence (Xn) of bounded degree finite graphs, it is strictly stronger than (Xn) being an expander in the sense that the Cheeger constants h(Xn) are bounded below. In this paper, the authors show that geometric property (T) is a coarse invariant, i.e., it depends only on the large-scale geometry of a metric space X. The authors also discuss how geometric property (T) interacts with amenability, property (T) for groups, and coarse geometric notions of a-T-menability. In particular, it is shown that property (T) for a residually finite group is characterised by geometric property (T) for its finite quotients. 相似文献
999.
Pierre CLARE 《数学年刊B辑(英文版)》2014,35(5):691-702
The author constructs unitary intertwiners for degenerate C*-algebraic uni- versal principal series of SL(n+ 1) over a local field by explicitely normalizing standard intertwining integrals at the level of Hilbert modules. 相似文献
1000.
《数学年刊B辑(英文版)》2014,(3):I0004-I0004
Inverse problems and ill-posed problems are motivated by many applications in science and engineering, and have become an important area of applied mathematics. The mathematical analysis and numerical algorithms on this subject have broad impacts on the rapid development of engineering areas, including nondestructive tests, medical imaging, remote sensing, geophysics and so on. The main difficulties in studying the inverse problems for partial differential equations are their nonlinearity and ill-posedness. Since the 1980s, there have been many new mathematical results on the theory of inverse problems and the regularization of ill-posed problems. 相似文献