A generalized Dedekind-Mertens lemma and its converse

We study content ideals of polynomials and their behavior under multiplication. We give a generalization of the Lemma of Dedekind-Mertens and prove the converse under suitable dimensionality restrictions.

     

The analysis of correlation integrals in terms of extremal value theory

In this paper we first give an overview of the methods of analysis of time series in terms of correlation integrals, which were developed for time series generated by deterministic systems. From the extremal value theory one obtains asymptotic information on the behaviour of the correlation integrals of time series generated by non-deterministic (mixing) systems. This leads to an analysis in terms of correlation integrals which is complementary to the estimation of dimension and entropy.Dedicated to the memory of Ricardo Mañé     

A Neutron Diffraction Study for the Crystal Structure of the Deuterium（hydrogen） L－Arginine Phosphate Monohydrate

ＡＮｅｕｔｒｏｎＤｉｆｆｒａｃｔｉｏｎＳｔｕｄｙｆｏｒｔｈｅＣｒｙｓｔａｌＳｔｒｕｃｔｕｒｅｏｆｔｈｅＤｅｕｔｅｒｉｕｍ（ｈｙｄｒｏｇｅｎ）Ｌ－ＡｒｇｉｎｉｎｅＰｈｏｓｐｈａｔｅＭｏｎｏｈｙｄｒａｔｅＣｈｅｎｇＺｈｉ－Ｘｕ；ＣｈｅｎｇＹｕＦｅｎ；Ｇｕ...     

A perturbation boundary integral equation method for analysis of interaction between foundation and nonlinear rock and soil medium

A scheme is developed for analysing the interaction between a foundation and a nonlinear rock and soil medium, in which the foundation is considered as a linear elastic body and a typical boundary integral equation method (BIEM) is employed. On the basis of taking the nonlinear properties of the medium into account, a perturbation BIEM is developed. The fundamental equations for the nonlinear coupling analysis are formulated, and typical problems are solved and discussed by the present method.     

Existence and Uniqueness of the Solution of Nonlinear Population Evolution Equations

ＥｘｉｓｔｅｎｃｅａｎｄＵｎｉｑｕｅｎｅｓｓｏｆｔｈｅＳｏｌｕｔｉｏｎｏｆＮｏｎｌｉｎｅａｒＰｏｐｕｌａｔｉｏｎＥｖｏｌｕｔｉｏｎＥｑｕａｔｉｏｎｓＬｉＨｏｎｇｙｉ（李红裔）（Ｄｅｐｔ．ｏｆＢａｓｉｃＳｃｉｅｎｃｅ，ＮｏｒｔｈＣｈｉｎａＩｎｓｔｉｔｕ...     

Excitation of stable transverse wavepackets with quadratic and cubic susceptibilities

We have identified a family of (2+1)D spatial solitary waves which can stably propagate in bulk media in the presence of coexisting diffraction, self-focusing Kerr and quadratic nonlinearities. In a conspicuous range of excitation conditions close to the stationary solutions, the emerging wavepackets are immune to the detrimental occurrence of filamentation and collapse, typical of pure Kerr media. The presence of a second-order contribution to the cubic nonlinear response is, therefore, able to prevent optical damage in applications relying on self-guidance. We show that the cross-phase modulation plays an important effect on stability. Our estimate shows that the effects of the cubic susceptibility cannot be neglected below a certain beam size in realistic crystals (e.g. KTP or similar).     

Limitation of Auger electron spectroscopy in the determination of the metal-on-oxide growth mode: Pd on MgO(100)

A discussion on the use of Auger electron spectroscopy as a quantitative tool to determine the growth mode of metals on single crystal oxide surfaces is presented. In the case of Pd grown epitaxially on MgO(100), the three-dimensional character of the growth is easily seen at coverage above one monolayer. However, in the submonolayer regime, and mainly at low substrate temperatures, the AES results are ambiguous. The combination of AES with the more sensitive helium-atom diffraction method allows us to demonstrate that the growth is three-dimensional from the early stages, the particles becoming flatter when the substrate temperature decreases. We compare our results with other growth studies on different metal/oxide systems. At low temperature, the ideal growth modes are not always observed, the final morphology of the films being determined mainly by kinetic effects. Thus a pseudo-Stranski-Krastanov growth mode is often obtained with formation of 2D islands followed by 3D clustering from a critical submonolayer coverage.     

A peculiarity of diffraction measurements using a Gaussian laser beam

Numerical modelling of the Gaussian beam diffraction by a wire near the Fraunhofer limit is presented. Two cases are considered: the case of the wire being on the axis of the beam and the case of the wire being off-axis. For the case where the wire is on the axis, the displacements of the diffracted minima are calculated. For the off-axis case, the changes in the positions of the maxima and minima and the power density are calculated. The conditions are determined at which the measurements made using a Gaussian beam can be calculated using the formula for plane waves. This work arises in connection with research being performed into the Doppler spectrum of big particles.     

A NEW FIXED POINT THEOREM FOR CONE MAPS AND ITS APPLICATIONS

1IntroductionLetEbearealBanachspace.AnonemptyconvexclosedsetPCEiscalledaconeinEifitsatisfiesthefollowingtwoconditionsf(i)xEP,A20impliesAxEP,(n)xEP,--xEPimpliesx=0.AconePiscalledsolidifitcontainsinteriorpoints,i.e.,P/gi.TheconePinEdefinesapartialorderingx5…     

Ⅱ－Ⅵ族应变层超晶格的X射线衍射分析

本文报导了用计算机控制的衍射仪（ＣｕＫα辐射）测量的金属有机化学汽相沉淀（ＭＯＣＶＤ）方法生长的Ⅱ－Ⅵ族应变层超晶格的Ｘ射线衍射曲线，观察到了超晶格结构的多级卫星峰，且卫星峰的强度随角度呈周期性变化．对这种卫星峰形成包络的衍射曲线，用Ｘ射线运动学衍射理论进行了分析和讨论，这种讨论有助于理解Ｘ射线衍射曲线中卫星峰的形成．同时用光致发光和包络峰宽度的方法估算了样品的结构参数．