Convergence of Picard’s iteration using projection algorithm for noncyclic contractions

Given $A$ and$B$ two nonempty subsets of a metric space, a mapping $T:A\cup B\to A\cup B$ is noncyclic provided that $T\left(A\right)?A$ and $T\left(B\right)?B$. A point $(p,q)\in A\times B$ is called a best proximity pair for the noncyclic mapping $T$ if $p=Tp,q=Tq$ and $d(p,q)=\mathrm{dist}(A,B)$. In this article, we survey the convergence of Picard’s iteration to a best proximity pair for noncyclic contractions using a projection algorithm in uniformly convex Banach spaces, where the initial point is in the proximal set of $A$. We also provide some sufficient conditions to ensure the existence of a common best proximity pairs for a pair of noncyclic mappings.     

数字图像相关技术的综合算法及其在断裂力学中的应用

鉴于散斑图的随机噪声和相关搜索运算过程仍是当今影响相关图像技术所获结果精度与计算速度两大有待研究解决的主要问题,提出一种基于小波变换、序惯相似度检测和统计相关算法三者相结合的新算法。其基本原理是应用小波变换对变形前后的散斑图进行滤波平滑处理;利用序惯相似度检测算法进行粗搜索,找到可能的匹配点;在可能的匹配点应用统计相关法进行细搜索,最终找到匹配点的位置。基本实验、计算和应用表明,这种算法在消除噪声和提高运算速度等方面,取得了良好的效果。     

影响消光比测试精度的主要因素分析

介绍了脉冲激光测距机消光比测试系统的功能和结构。对影响脉冲激光测距机消光比测试精度的主要因素逐一进行了分析。结果表明 ,用消光比测试方法考核验收脉冲激光测距机的最大测程和整机测距灵敏度 ,替代现行的在野外对特定目标的实际测距考核和验收 ,有效地克服了气象差异对测量精度的影响和地形条件对测试工作的限制     

Assignment of pH‐dependent NMR spectra of the scorpiand macrocycle: an application of titration profiles and spectral linewidths

Routine homo‐ and heteronuclear 2D NMR experiments (COSY, HMQC, TOCSY and ROESY) were performed for the complex macrocyclic pentaamine ligand 1‐(2′‐aminoethyl)‐1,4,8,11‐tetraazacyclotetradecane ( 1 , scorpiand), derived from 1,4,8,11‐tetraazacyclotetradecane (cyclam). However, some its ¹³C and ¹H resonances were distinguished only based on the similarity between profiles of relevant pH–chemical shift plots and/or linewidth considerations. Following this empirical method relying on the assumption that titration curves of nuclei in comparable chemical environments have comparable shapes, it was possible to assign all chemical shifts (¹³C, pH 0.25–13.4; ¹H, pH 10–11.5) for some different protonated species H_n 1 ⁿ⁺. A multiple experimental approach used for recognizing their NMR signals is offered as a general assignment procedure in the case of polyazamacrocycles. Copyright © 2002 John Wiley & Sons, Ltd.     

类镍等电子系列离子M1,M2,E2禁戒跃迁特性的理论研究

利用基于全相对论框架下的多组态Dirac-Fock理论方法发展起来的程序包GRASP92和新发展的处理辐射跃迁过程的程序REOS99，计算了类镍等电子系列离子(Z=45—95)的基组态3s²3p⁶3d¹⁰¹S₀以及低激发组态3s²3p⁶3d⁹4l,3s²3p⁵3d¹⁰4l和3s3p⁶3d¹⁰4l(l=s,p,d,f)的能级及其向基态的M1,M2,E2禁戒跃迁概率.通过分析高离化类镍离子在特定的原子序数范围内由于存在能级交叉而产生的强组态相互作用，解释了高离化类镍离子禁戒跃迁概率的反常变化现象，探讨了禁戒跃迁概率受强组态相互作用影响而变化的一般规律.     

海豚等动物神经系统处理多普勒信号的一种可能性方案

海豚、蝙蝠等动物具有功能强大的生物声纳，生物神经系统处理多普勒效应的网络结构可能会有多种形式.对这类生物的神经系统信号处理机制及结构的研究，将能为信息处理提供新的视角.根据序空间神经编码理论，构建了一个生物神经回路处理多普勒信号.经计算机仿真可知，该生物神经网络运算速度快、分辨率高，并能处理任意的连续变频率多普勒信号.所研究的仅由1—2个神经元组成的网络结构是最简单的，由于网络只有一级神经元的延时，保证了处理的快速性，在神经元输出10个脉冲的情况下分辨率可达7^-10. 关键词： 多普勒效应 海豚 神经编码 神经脉冲序列     

Rochelle salt in an inhomogeneous electric field

The parameters of the hysteresis loop in the ferroelectric Rochelle salt were investigated using a sample with two pairs of electrodes: measurement electrodes and the side ones. It has been shown that the difference between the potentials of the measurement and the side electrodes (generating an inhomogeneous electric field) leads to gradual decay in time t of the remanent polarization P_r. The time required for the hysteresis loop to disappear in the inhomogeneous electric field (not parallel to the ferroelectric axis) decreases with temperature increase from 44±3 h at – 9°C to 2.3±0.1 h at 21.9 °C. On the other hand, the crystal placed for a sufficiently long time simultaneously in the measuring electric field and in the constant inhomogeneous one may finally exhibit a stationary hysteresis loop with a reduced remanent polarization and the unchanged coercive field. It has been shown that the crystal as a whole does not have to be polarized perpendicularly to the ferroelectric axis in order for its hysteresis loop to be reduced.     

HIGHER ORDER MULTIVARIABLE NORLUND EULER-BERNOULLI POLYNOMIALS

The definitions of higher order multivariable Norlund Euler polynomials and Norlund Bernoulli polynomials are presented and some of their important properties are expounded. Some identities involving recurrence sequences and higher order multivariable Norlund Euler-Bernoulli polynomials are established.     

Basic topological and geometric properties of Cesàro-Orlicz spaces

Necessary and sufficient conditions under which the Cesàro-Orlicz sequence spaceces _ϕ is nontrivial are presented. It is proved that for the Luxemburg norm, Cesàro-Orlicz spacesces _ϕ have the Fatou property. Consequently, the spaces are complete. It is also proved that the subspace of order continuous elements inces _ϕ can be defined in two ways. Finally, criteria for strict monotonicity, uniform monotonicity and rotundity (= strict convexity) of the spacesces _ϕ are given.     

Transposition invariant string matching

Given strings A=a₁a₂…a_m and B=b₁b₂…b_n over an alphabet , where is some numerical universe closed under addition and subtraction, and a distance function d(A,B) that gives the score of the best (partial) matching of A and B, the transposition invariant distance is , where A+t=(a₁+t)(a₂+t)…(a_m+t). We study the problem of computing the transposition invariant distance for various distance (and similarity) functions d, including Hamming distance, longest common subsequence (LCS), Levenshtein distance, and their versions where the exact matching condition is replaced by an approximate one. For all these problems we give algorithms whose time complexities are close to the known upper bounds without transposition invariance, and for some we achieve these upper bounds. In particular, we show how sparse dynamic programming can be used to solve transposition invariant problems, and its connection with multidimensional range-minimum search. As a byproduct, we give improved sparse dynamic programming algorithms to compute LCS and Levenshtein distance.