Aurifeuillian factorizations and the period of the Bell numbers modulo a prime

We show that the minimum period modulo of the Bell exponential integers is for all primes and several larger . Our proof of this result requires the prime factorization of these periods. For some primes the factoring is aided by an algebraic formula called an Aurifeuillian factorization. We explain how the coefficients of the factors in these formulas may be computed.

     

Cr_2O_7~(2-)对B-Z振荡反应的影响及其分析应用

研究了Cr2O72-对B-Z化学振荡反应的影响.结果表明,Cr2O27-的加入明显改变该振荡反应的诱导期,且诱导期的改变值Δtin与所加入Cr2O72-的浓度有良好的线性关系,线性范围3.45×10-6~6.20×10-4mol·L-1,相关系数为0.9992,对Cr2O72-扰动B-Z振荡反应的机理进行了探讨.     

All-glass open-split interface for capillary GC/MS

This paper describes a design for an all-glass GC/MS interface. The design has advantages due to low dead volume, lack of column effluent adsorption and degradation, simple interface production and installation, and ease of column mounting/dismounting.     

交联1,4—顺式聚丁二烯的取向结晶

用ＷＡＸＤ和ＳＡＸＳ研究交联１，４－顺式聚丁二烯的取向结晶。结果表明：该试样在拉伸状态时，形成折叠链片晶，而不是伸直链纤维晶。片晶之间断产生新的片晶，使长周期减小，并且片晶的横向尺寸不断增大，由此导致结晶度增大。     

On a class of dependent Sparre Andersen risk models and a bailout application

In this paper a one-dimensional surplus process is considered with a certain Sparre Andersen type dependence structure under general interclaim times distribution and correlated phase-type claim sizes. The Laplace transform of the time to ruin under such a model is obtained as the solution of a fixed-point problem, under both the zero-delayed and the delayed cases. An efficient algorithm for solving the fixed-point problem is derived together with bounds that illustrate the quality of the approximation. A two-dimensional risk model is analyzed under a bailout type strategy with both fixed and variable costs and a dependence structure of the proposed type. Numerical examples and ideas for future research are presented at the end of the paper.     

Determination/estimation of an optimal replacement interval under minimal repair

In this paper the problem of estimation of an optimal replacement interval for a system which is minimally repaired at failures is studied. The problem is investigated both under a parametric and a nonparametric form of the failure intensity of the system. It is assumed that observational data from n systems are available. Some asymptotic results are shown. A graphical procedure for determining/estimating an optimal replacement interval is presented. The procedure is particularly valuable for sensitivity analyses, for example with respect to the costs involved.     

Low-energy points on the sphere and the real projective plane

We present a generalization of a family of points on ${\mathbb{S}}^2$, the Diamond ensemble, containing collections of N points on ${\mathbb{S}}^2$ with very small logarithmic energy for all $N\in \mathbb{N}$. We extend this construction to the real projective plane ${\mathbb{RP}}^2$ and we obtain upper and lower bounds with explicit constants for the Green and logarithmic energy on this last space.     

新郑西亚斯东周玉器材料属性与加工工艺的科技分析

中国玉文化源远流长，治玉工艺经过各个时代的不断发展和完善，在一定程度上能反映古代社会生产力发展水平及文化、贸易、技术交流等信息。利用能量色散型X射线荧光光谱（EDXRF）、激光拉曼光谱（LRS）、超景深光学显微系统（OM）等分析技术，结合硅胶覆膜微痕复制技术，对河南省新郑西亚斯东周墓地出土的一批玉器进行科技分析。首先利用化学成分和物相结构分析技术确定了玉器材质的矿物属性，其次利用显微分析技术表征了玉器表面及穿孔内部和印模的加工痕迹，特别是阴刻纹饰和穿孔微痕特征，最后探讨了玉器样品的材料属性和加工工艺两者之间的联系。化学成分和物相结构分析结果表明，所分析的西亚斯东周玉器材质丰富，主要矿物组成有滑石、透闪石、水晶、云母等。玉器表面纹饰微痕特征分析表明，所分析玉器阴刻工艺采用了两种加工工具，分别是砣具和手持硬质工具。穿孔微痕分析特征表明，钻孔包括单面钻孔和双面/多面钻孔两种方式，钻孔工艺则有实心钻、管钻等。部分玉器钻孔形状和内部微痕特征表明，尽管均采用了实心钻工艺，但所采用的实心钻头在形状上存在差异，同时，也存在是否配合解玉砂进行钻孔的差异。不同材料属性的玉器采用了不同的加工工艺。滑石质玉器，莫氏硬度1，器型主要为玉片饰，其表面阴刻纹饰主要采用手持硬质工具进行刻画，钻孔主要采用了双面钻孔方式，并使用了实心钻头未添加解玉砂进行加工，钻头形状可能为圆锥状；云母质玉器，莫氏硬度2~3，器型主要为玉玦片饰，纹饰采用了砣具添加解玉砂的加工工艺，钻孔方式为单面钻孔，采用了管钻工艺。透闪石型玉器，莫氏硬度5~6，器型主要为玉片饰，表面纹饰采用砣具配合解玉砂砣刻，以双面钻孔的方式为主，钻孔工艺为实心钻头配合解玉砂工艺，钻头形状与滑石类样品一致，为圆锥状。水晶质玉器，莫氏硬度7，均为珠饰，表面无纹饰，钻孔方式为双面/多面钻孔，钻孔工艺为实心钻配合解玉砂工艺，且钻头可能为圆柱形。研究结果表明，玉器表面纹饰所采用的阴刻工艺和钻孔工艺，与玉器本身的材料属性、器型等存在密切关系。     

Explicit maximal and minimal curves over finite fields of odd characteristics

In this work we present explicit classes of maximal and minimal Artin–Schreier type curves over finite fields having odd characteristics. Our results include the proof of Conjecture 5.9 given in [1] as a very special subcase. We use some techniques developed in [2], which were not used in [1].