Probabilistic approach to the Dirichlet problem of second order elliptic PDE

In this paper we provide a probabilistic approach to the following Dirichlet Problem{(∑x~4(α~(ij) x~j) ∑b~ix~i ξ)u=0, iD u=g, on D,without assuming that the eigenvalues of the operator∑x~i(α~(ij)x~j) ∑b~ix~i ξwith Dirichlet boundary conditions are all strictly negative. The results of this paper generalizedthose of Ma.     

On N-widths in Ip

In this paper we prove that (1<p<+∞), give the characteristics of x^o and the optimal subspace for n-width d_n in space X=l _n ^N . Where d_n in the n-width, in the sense of Kolmogorov, ofD in X, dⁿ is the n-width ofD with respect to X, in the sense of Gel'fand, δ is the linear n-width ofD with respect to X.     

新型的数字音频系统—数字盒式磁带（DCC）原理

数字盒式磁带录音机,简称DCC,是一种将现有的盒式磁带与数字声频相结合的产物。它采用了新的有效的精确自适应子带编码技术,简称PASC,使重放的声音达到CD的音质。PASC依据数字声频中两个新的原理:与人耳的听觉特性相适应原理和有效的自适原应理。DCC系统可以与模拟音乐盒带兼容,现有的盒带可以在DCC放音设备上重放。     

异烟肼及其代谢产物的串联质谱分析

报道了血样中异烟肼的串联质谱快速分析，利用这种分析方法，证实了一男性死者血样中异烟肼及其代谢产物的存在，从而为法庭诉讼提供了可靠的证据。这种方法具有快速性，高灵敏度和高选择性，适合于需要快速分析的场合。     

XPS investigations of ink‐jet printed paper

Different ink‐jet printed paper materials were investigated using X‐ray photoelectron spectroscopy (XPS) yielding the elemental composition of the near‐surface region of the papers. We found significant differences with respect to the detected elements and their atomic concentrations in the different inks studied here. Two different groups of inks could be identified by means of a lower ratio of the O and C atomic concentrations and lower concentrations in specific trace elements like Mg, Na and Si. High‐resolution spectra of C 1s and O 1s core levels allowed a detailed determination of the chemical state of the respective elements. On the basis of a detailed deconvolution of these XPS signals, significant differences between all the investigated ink‐jet printed papers were found, thereby allowing their discrimination. The applicability of the measurements and, more generally, the XPS technique for forensic investigations of paper are discussed. Copyright © 2007 John Wiley & Sons, Ltd.     

Fabrication of tunable colloid crystals from amine-terminated polyamidoamine dendrimers

A pH-responsive colloidal crystal was assembled using core-shell composite spheres, poly(styrene-methyl methacrylate-acrylic acid) (P(St-MMA-AA)) spheres covered by generation 4 amine-terminated polyamidoamine dendrimers. The light reflection of the colloidal crystal film can be tuned at different pH due to different protonation level of the dendrimers. The method shows a facile way to fabricate diffraction-based chemical and biological sensors by exploiting the effect of photonic crystal cooperated with tunable nanoparticles.