Recursive method for building Arnold’s triangle X p (a,b)

We give a recursive method for building X _p (a,b) for each prime p. Arnold’s triangle is composed of positive integers: for a>1 and 0<b<a, X _p (a,b) is the degree of the highest power of p dividing the difference of the binomial coefficients C _pa ^pb −C _a ^b .      

关于两个线性递推序列

用发生函数的办法考察了线性递推关系bi,j=αbi-1,j βbi,j-1和ci,j=αci-1,j βci,j-1 αβci-1,j-1的特殊情况所确定的矩阵B和C,得到了矩阵B,C的分解B=P[α](bo,oI ωE)PT[β],C=P[α]DPT[β]和相应行列式的值.发现B,C与Pascal矩阵P有着紧密的联系.     

影响肝细胞癌术后早期复发的相关因素Cox模型分析

目的探讨影响肝细胞癌术后早期复发的相关因素,为术后综合治疗及判断预后提供依据。方法回顾性分析195例实施肝癌根治性切除术,且术后病理诊断证实为肝细胞癌的病例的临床病理资料,对18项潜在的可能影响肝细胞癌术后早期复发的临床病理因素进行统计学分析。结果全组术后早期复发82例（42．05％）。早期复发组的1、2、3年的累积生存率分别为55．9％、22．5％和13．3％,对照组相应的累积生存率分别为100％、95．3％和77．7％,两组生存曲线的差异有统计学意义（χ^2=134．825,P〈0．001）。Cox模型多因素分析结果显示：术前白蛋白浓度、术前碱性磷酸酶浓度、肿瘤病灶数目和手术中输血量是影响肝细胞癌术后早期复发的有统计学意义的因素。结论根治性切除术后容易复发是肝细胞癌的生物学特性之一,肝细胞癌术后早期复发取决于多种因素的共同作用,术前碱性磷酸酶浓度、肿瘤病灶数目、手术中输血量是影响肝细胞癌术后早期复发的独立危险因素。     

犹太传统的回归与坚守——从《美国牧歌》看罗斯对美国犹太民族走向的思考

菲利普·罗斯的《美国牧歌》描述了一个普通的美国犹太家庭塞莫尔·利沃夫家族几代人在美国的生活状况,以小见大地折射了二十世纪犹太人与美国主流文化融合过程中的种种矛盾和艰辛.通过刻画美国身份失效后经受精神磨难和心灵割礼的“瑞典佬”,罗斯表达了重获犹太身份,回归犹太传统的内心欲求和希冀以及对犹太民族命运及走向的关切.     

随机哈密尔顿系统的周期变差解和近不变环面解

本文研究具有随机扰动的哈密顿系统的重现现象,尤其是轨道随机周期变差解和近不变环面解.具体来说,对线性薛定谔方程,我们完整阐述了随机周期变差解何时存在;对随机扰动的近可积哈密顿系统,我们证明了近不变环面的存在性与驱动噪声对应的哈密顿函数的对合性相关.     

Characterization of patterns in rimming flow

Patterns were generated inside a horizontal cylinder rotating at low speeds. The cylinder was filled with a very low volume liquid fraction of 1.8% of Newtonian fluid and the rotation speed ranged between 0.08 and 5.2 s⁻¹. A novel laser-plane technique was utilized to obtain time series from each pattern. This enabled the characterization of fluid patterns using Fourier spectral (FS) and dynamical-systems (chaotic) techniques such as the recurrence map, correlation dimension (D₂) and Hurst exponent (H). Four patterns were found (fingers, furrows, waterfall and smooth tooth) before annular flow was reached. The results indicate that the FS technique not is suitable for flow pattern characterization; and H only has the ability to indicate a possible pattern change. The best tool for indicating the pattern transitions and the inner coat liquid evolution was found to be recurrence maps and D₂.     

线天线分析中的逐次追加法

本文提出了一种分析线天线的有效方法——逐次追加法。该方法在处理形状不规则的线天线或线散射器时,非常方便灵活,且所占计算机内存和所用计算时间较少。若干计算实例表明了该方法的正确性和有效性。     

灰色新息GM（1，1）模型的递推算法

在研究新息ＧＭ（１，ｌ）模型传统算法的基础上，提出了灰色新息ＧＭ（１，１）模型的一种新算法─—递推算法。     

The relation of the d-orthogonal polynomials to the Appell polynomials

We are dealing with the concept of d-dimensional orthogonal (abbreviated d-orthogonal) polynomials, that is to say polynomials verifying one standard recurrence relation of order d + 1. Among the d-orthogonal polynomials one singles out the natural generalizations of certain classical orthogonal polynomials. In particular, we are concerned, in the present paper, with the solution of the following problem (P): Find all polynomial sequences which are at the same time Appell polynomials and d-orthogonal. The resulting polynomials are a natural extension of the Hermite polynomials.

A sequence of these polynomials is obtained. All the elements of its (d + 1)-order recurrence are explicitly determined. A generating function, a (d + 1)-order differential equation satisfied by each polynomial and a characterization of this sequence through a vectorial functional equation are also given. Among such polynomials one singles out the d-symmetrical ones (Definition 1.7) which are the d-orthogonal polynomials analogous to the Hermite classical ones. When d = 1 (ordinary orthogonality), we meet again the classical orthogonal polynomials of Hermite.