Stability of wavelet frames and Riesz bases, with respect to dilations and translations

We consider the perturbation problem of wavelet frame (Riesz basis) about dilation and translation parameters and . For wavelet functions whose Fourier transforms have small supports, we give a method to determine whether the perturbation system is a frame (Riesz basis) and prove the stability about dilation parameter on Paley-Wiener space. For a great deal of wavelet functions, we give a definite answer to the stability about translation . Moreover, if the Fourier transform has small support, we can estimate the frame bounds about the perturbation of translation parameter . Our methods can be used to handle nonhomogeneous frames (Riesz basis).

     

Thermodynamics of Solvation of 18-Crown-6 and Its Alkali-Metal Complexes in Various Solvents

Heats of solution of 1,4,7,10,13,16-hexaoxacyclooctadecane (18-crown-6) in acetonitrile, 1,2-dichloroethane, N,N-dimethylformamide, dimethyl sulfoxide, nitromethane, propylene carbonate, pyridine and water were measured at 25 °C and the enthalpies of the transfer of 18-crown-6 from waterto the aprotic solvents were derived. The thermodynamic quantities, G₁°, H₁° and T S₁°, for the formation of the[M(18-crown-6)]⁺ (M⁺ = Na⁺, K⁺, Rb⁺, Cs⁺, NH₄ ⁺) complexeswere determined by titration calorimetry in dimethyl sulfoxide containing0.1 mol dm^-3 (C₂H₅)₄NClO₄ as a constant ionic medium at 25 °C. These thermodynamic quantities suggest that the complexationof 18-crown-6 with the alkali-metal ions mainly reflects the different solvationof 18-crown-6 and also the different degree of solvent structure.     

国内外青少年学生膳食营养比较分析

分析了青少年学生的营养特点和营养价值需求，指出了我国青少年学生在膳食营养上存在着某些偏向，提出了获得全营养素的来源与建议。     

Nonlinearity degree of short-term heart rate variability signal

A nonlinear autoregressive (NAR) model is built to model the heartbeat interval time series and the optimum model degree is proposed to be taken to evaluate the nonlinearity degree of heart rate variability (HRV). A group of healthy persons are studied and the results indicate that this method can effectively get nonlinear information from short (6—7 min) heartbeat series and consequently reflect the degree of heart rate variability, which supplies convenience in clinical application. Finally, a comparison with the traditional time domain method shows that the NAR model method can reflect the complexity of the whole signal and lessen the influence of noise and instability, in the signal.     

统计模型中均方误差的区间估计

本文研究了带线性约束条件的线性统计模型（Ⅰ）与（Ⅱ）中参数β的估计量βＨ的均方误差ＭＳＥ（βＨ）,并分别给出了其１—ａ置信区间．     

合作原则视域下英语外贸函电的语用分析

随着全球经济合作扩大,英语外贸函电作为交流的重要途径,在开展新贸易、推进国际交流方面起着举足轻重的作用。基于合作原则及其四大准则的理论框架下,结合英语外贸函电实例进行语用分析,将进一步完善我们对英语外贸函电的认识和理解,并对英语外贸函电写作产生非常重要的实践指导意义。     

关于Catlin的2/3—猜想

G表示一个图 ,若G有一个欧拉生成子图 ,则称G是超欧拉图。Catlin的 2 3—猜想 :设G是超欧拉图 ,G ≠K1,则G存在一个欧拉生成子图H ,使得｜E(H) ｜ ｜E(G) ｜≥ 2 3。笔者证明了对于Cayley图 ,猜想成立。     

农业科技领域内高被引论文特征指标分析

高被引论文是期刊优质稿源,是编辑部吸纳和争取的对象。对农业科技领域前300篇高被引论文部分指标（论文分类、篇幅、期刊分布、作者地区及机构类别、合著者数量、基金资助类别、学科方向、引文数量）进行了分析,探索了高被引论文的外在显著特征,以期为农业科技期刊编辑部有针对性地组稿、约稿和选稿提供借鉴。     

牢记“两个务必”，加强大学生艰苦奋斗精神的教育

艰苦奋斗是中华民族的传统美德，也是我们党在长期革命和建设中形成的优良传统和作风。针对目前相当一部分大学生艰苦奋斗观念淡薄这一现象，从引导大学生牢记“两个务必”的重要论述出发．就高校加强大学生艰苦奋斗精神教育的途径展开探讨。