I.I.D.随机变量两两乘积之和的Hsu-Robbins型定理(Ⅱ)

在本部分中,采用由 Ｌｅｖｙ函数（４．ｌ）所确定的值ｂｎ取代（Ｉ）［１］中的１／ｎ“位点”ａｎ,使得（Ｉ）中定理１中的附加条件（Ａ）得以解除,从而获得了可以称之为Ｈｓｕ－Ｒｏｂｂｉｎｓ型的充分必要条件．作为推论,还给出了两个互为复制的ｉｉｄ随机变量三角阵对应行之和乘积的Ｋｏｌｍｏｇｏｒｏｖ强大数律．     

2-甲基-3-芳基烯丙基三苯基溴代鏻的合成

取代苯甲醛经醇醛缩合、硼氢化还原、溴代反应和成盐反应合成了２-甲基-３-间硝基苯基烯丙基三苯基溴化特和２-甲基-３-对硝基苯基烯丙基三苯基溴化鏻两个化合物,收率分别达８６．４％和６９．０％。结构经ＩＲ,1ＨＮＭＰ确证。     

圆弧和球面上的广义Ball多项式

本文以Ｂéｚｉｅｒ多项式理论为基础,引进了圆弧上的广义Ｂａｌ曲线及球面三角剖分上的广义Ｂａｌ曲面及其递归算法．     

三次Bézier曲线的快速生成算法

本文给出了一种三次Ｂéｚｉｅｒ曲线的生成算法，在曲线的逐点生成过程中，只用到加减法，故效率极高．而且，此方法可推广到一般多项式或有理参数曲线     

二元数字期权定价与copula的关系

首先简要介绍了 copula的一些基本概念和性质 ,然后探讨了一种多元未定权益——二元数字期权的价格与 copula的关系 .结论表明 ,一个二元数字期权的价格恰好是一个 copula函数 ,由此结论进而给出了根据实际数据获得二元数字期权价格的基本思路和步骤 .     

Complexes of zinc,cadmium and mercury(II) with the zwitter-ionic form of NN′-ethylenebis (salicylideneimine)

The Schiff base NN′-ethylenebis(salicylideneimine), H₂ salen reacts with hydrous and anhydrous Zinc, Cadmium and Mercury(II) salts to give complexes M(H₂ salen)X₂·nH₂O (M = Zn, Cd, Hg; XCl, Br, I, NO₃; MZn, X₂SO₄; n = 0?2). Spectroscopic and other evidence indicated that; (i) halide and sulphate are coordinated to the metal ion, whereas the nitrate group is ionic in mercury nitrate compound and covalently bonded in zinc and cadmium nitrato complexes, (ii) the Schiff base is coordinated through the negatively charged phenolic oxygen atoms and not the nitrogen atoms, which carry the protons transferred from phenolic groups on coordination, (iii) therefore the coordination numbers suggested are 4-, in mercury and 4- or 6- in zinc and cadmium Schiff base complexes.     

关于一类高阶Liénard型方程周期解的注记

本文研究一类具偏差变元的高阶 Liénard型方程的周期解存在性 ,给出了这类方程周期解存在性的若干充分条件 .     

Influence of inhomogeneities of magnetization on surface modes in SWR

The classical model of spin-wave spectra with surface anisotropy characterised by the pinning parameter and also with volume inhomogeneities characterised by the amplitude ΔM of the magnetization distribution across the sample is presented. The discussion is confined to selected range of parameters p₁, p₂ and ΔM for which the existence of the surface modes is expected. Only the perpendicular resonance is considered.     

A new formulation of immiscible compressible two-phase flow in porous media

A new formulation is proposed to describe immiscible compressible two-phase flow in porous media. The main feature of this formulation is the introduction of a global pressure. The resulting equations are written in a fractional flow formulation and lead to a coupled system which consists of a nonlinear parabolic (the global pressure equation) and a nonlinear diffusion–convection one (the saturation equation) which can be efficiently solved numerically. To cite this article: B. Amaziane, M. Jurak, C. R. Mecanique 336 (2008).     

LIMIT CYCLES OF A GENERALIZED LINARD DIFFERENTIAL EQUATION VIA AVERAGING THEORY

We apply the averaging theory of first and second orders to a generalized Liénard differential equation to study the maximum number of limit cycles of the system.