Electrical Percolation of Carbon Black Filled Poly （ethylene oxide） Composites in Relation to the Matrix Morphology

The present work studies the electrical conduction performance of carbon blaak (CB) filled poly(ethylene oxide) (PEO) composites. The addition of CB leads to reduced matrix crystallinity as the fillers which are partly situated inside the lamellae and hinder the growth of PEO crystallites. As a result, the electrical percolation behavior is related with the matrix morphology.     

稀土材料的超快共振非线性光学特性研究

用抽运-探测技术测量光学响应材料非线性极化率的方法，研究了稀土材料非线性折射率的共振增强和超快响应的非线性动力学过程。测得钕玻璃的三阶非线性折射 率强度系数为10^-14cm^2/W，比其基质的非线性折射率强度系数提高了2个量级。用该方法研究了Nd:YVO4、Er:YAG等晶体的超快非线性响应过程。实验结果与理论分析表明，抽支-探测技术是测量非线性极化率的简单而又灵敏的方法。这一测量技术对研究与开发超高速光响应器件具有重要的实用价值。     

关于广义齐次自相似集上Hausdorff测度的一个特征

设E是Hausdorff测度正有限的广义齐次自相似集,本文证明了s维Hausdorff测度是E上唯一的非扩张概率测度.     

M进制双正交对称小波的频率优化设计

§ 1　IntroductionM-band wavelets are used in a lotof applications such asspeech coding,image analysisand image coding[1 ,2 ] .When applied to the low-rate subband image coding,the symmetricextension method[3] has been shown to outperform the circular convolution method andyield both objective and subjective quality improvementat image boundaries.The symmet-ric extension method requires linear-phase scaling filters and wavelet filters.Two-bandbiorthogonal symmetric waveletbases have been const…     

Land-ocean interaction in modern delta formation and development: A case study of the Pearl River delta,China

The distinctive characteristics of the modern Pearl River delta formation and development are divided phases, diversity and imbalance in spatial and temporal. The delta was moving seaward gradually in a long period after the last Holocene glacial stage and the ancient drowned Pearl River estuary was predominated by tide. The delta was expanding quickly since fluvial force was turned to be leading status about 2500 years ago. The sediment grain size was changing longitudinally from coarser to finer. As well as the finer sediment may be reworked and redistributed shoreward by tidal current nearby the river mouth. And the fluvial-dominated delta is developed by the mutual deposition reflected in the vertical direction. According to the spatial difference of land-ocean interaction, the main body of the Pearl River delta which is the fluvial-dominated and protruding seaward is coupled with or concomitant with the estuaries and tide-dominated deltas which are adjoined to both sides of the main part like two wi     

Subdirect sums of P(P0)-matrices and totally nonnegative matrices

In this paper, the problem of when the sub-direct sum of two strictly diagonally dominant P-matrices is a strictly diagonally dominant P-matrix is studied. In particular, it is shown that the subdirect sum of overlapping principal submatrices of strictly diagonally dominant P-matrices is a strictly diagonally dominant P-matrix. It is also established that the 2-subdirect sum of two totally nonnegative matrices is a totally nonnegative matrix under some conditions. It is obtained that a partial totally nonnegative matrix, whose graph of the specified entries is a monotonically labeled 2-chordal graph, has a totally nonnegative completion. Finally, a positive answer to the question (IV) in Fallat and Johnson [Shaun M. Fallat, C.R. Johnson, J.R. Torregrosa, A.M. Urbano, P-matrix completions under weak symmetry assumptions, Linear Algebra Appl. 312 (2000) 73-91] is given for P₀-matrices.     

EXACT BOUNDARY CONTROLLABILITY OF 1-D NONLINEAR SCHRDINGER EQUATION

In this paper,the boundary control problem of a distributed parameter system described by the Schrdinger equation posed on finite intervalα≤x≤β: iyt yxx |y|~2y=0, y(α,t)=h_`1(t),y(β,t)=h_2(t)for t>0(S) is considered.It is shown that by choosing appropriate control inputs(h_j),(j=1,2)one can always guide the system(S)from a given initial stateφ∈H~s(α,β),(s∈R)to a terminal stateΨ∈H~s(α,β),in the time period[0,T].The exact boundary controllability is obtained by considering a related initial value control problem of Schrdinger equation posed on the whole line R.The discovered smoothing properties of Schrdinger equation have played important roles in our approach;this may be the first step to prove the results on boundary controllability of(semi-linear)nonlinear Schrdinger equation.     

1,3-Dipolar Cycloaddition Reaction between Vinyl Acetate and N-Alkyl Hydroxypyridinium Halide

The 1, 3-dipolar cycloaddition reaction between 3-hydroxypyridiniun betaines and a great variety of dipolarphiles, such as CH2=CH-CN, CH2=CH-COCH3, CH2=CH-COOCH3, CH2=CH(CH3)-COOCH3 were first investigated by Alan R. Katritzky et al.1-3. Generally, the olefinic dipolarphiles containing a strongly electron-withdrawing group are more active. Vinyl acetate 2 is an electron-rich dipolarphile, it is very difficult to carry out 1, 3-dipolar cycloaddition reaction with 3-hydropyridin…     

CdSxSe1-x玻璃的光双稳皮秒动力学特性研究

本文在掺CdS_xSe_1-x微晶阵列玻璃中观测到上升和下降时间为20微微秒的光学双稳跳跃过程,并从实验数据估算出CdS_xSe_1-x玻璃的三阶非线性系数为1×10^-8esu,与已报道用简并四波混频实验所测得的三阶非线性系数在数量级上一致,快速的光学双稳开关过程以及大的三阶非线性系数显示这种材料的光学双稳态是属于带填充效应的结果。     

非一致椭圆型方程的广义Green函数

广义Grccn函数的存在性和唯一性。