不用计算导数的大范围收敛迭代法

1引言 研究大范围收敛的迭代法具有十分重要的意义，文[1]、[2]中对此作了专门论述，但已有的大范围收敛迭代法都必须使用异常，甚至是高阶导数，致使这些方法的应用受到了很大的限制，故文[1]作者提出值得进一步研究的第三个问题是：能否找到不需要计算函数高阶导数的大范围收敛的迭代公式？笔者认为，如果仅仅沿用传统的迭代法也许难以获得令人满意的答案。本文将微分方程动力系统的理论结合Steffensen的加速迭代技巧构造了不用计算导数且具有平方敛速的大范围收敛的迭代法。     

分散有ZnS:Mn2+纳米超微粒的有机薄膜的制备和光学性质

近年来,半导体超微粒的合成及光物理性质研究已成为活跃的领域.由于量子尺寸效应引起的量子点能级结构的变化及其光学性质已经作了大量研究[1-4].1993年,Bhar-gava首次报导了化学反应合成的ZnS Mn超微粒的光学性质[5],掺杂半导体纳米材料的出现,为纳米科学的研究开辟了新的领域.     

空间有理参数多项式曲线的整数级绘制算法

讨论了空间有理曲线中心投影后导数上界的估计，基于曲线各阶差分的递推计算，给出了空间有理参数多项式曲线的快速绘制算法．算法只用到整数的加减法，效率高．     

Enzymatic hydrolysis of steam-exploded and ethanol organosolv-pretreated douglas-fir by novel and commercial fungal cellulases

Softwood residues are the most abundant feedstock available for bioconversion in many northern countries. However, the high costs for delignification and enzymatic hydrolysis currently deter commercialization of softwood bioconversion processes. This study evaluates the abilities of two novel fungal preparations (MSUBC1 and MSUBC2) and two commercial cellulase preparations (TR1 and TR2) to hydrolyze cellulose in Douglas-fir pretreated by steam explosion or ethanol organosolv process. MSUBC1 showed significantly better performance than the other preparations on both lignocellulosic substrates. In particular, MSUBC1 achieved >76% cellulose conversion for hydrolysis of steam-exploded Douglas-fir (～44% lignin) after 72 h at low enzyme loading (10 filter paper units/g of cellulose) and without β-glucosidase supplementation.     

A Subtree-Partitioning Algorithm for Inducing Parallelism in Network Simplex Dual Updates

This paper reports on thedevelopment of a very efficient method for partitioning the networksimplex basis subtree in which dual values must be updated duringa pivot. The partitioning procedure may be concurrently executedby multiple processes. The resulting rapid decomposition of thesubtree allows an arbitrary number of processes to be utilized inthe actual dual update. This approach alleviates a primary limitationof the most efficient parallel network simplex implementationpublished to date. The new code performs at least as well as theprevious implementation on medium-scale problems and reduces averagesolution time by over 34% on large-scale problems.     

Thermal decomposition of ammonia-borane under pressures up to 600 bar

The thermal decomposition of ammonia-borane BH₃NH₃ in the temperature range up to 450 K has been studied by differential scanning calorimetry (DSC) and volumetric analysis of the released volatile decomposition products. Measurements were performed in a transitiometer ST6-VI under pressures up to 600 bar and in a DSC C-80 in the pressure range 1-100 bar hydrogen. Above 360 K ammonia-borane undergoes an exothermic decomposion, which proceeds in two steps with rising temperature. The decomposition is accompanied by hydrogen release. Formation of further volatile products, beside hydrogen, seems to be negligible. The heat evolution and hydrogen release terminates near 430 K. The final amount of released hydrogen is approximately equal to 2 mol H₂/mol ammonia-borane. Variation of pressure does not influence significantly the reaction enthalpy and hydrogen release. The transitiometer ST6-VI is well-suitable for the monitoring of solid-gas reaction under high-pressure conditions. This instrument enables a reliable determination of the reaction heat and the amount of gas release/gas uptake.     

Curve Complexes and Finite Index Subgroups of Mapping Class Groups

Let Mod(S) be the extended mapping class group of a surface S. For S the twice-punctured torus, we show that there exists an isomorphism of finite index subgroups of Mod(S) which is not the restriction of any inner automorphism. For S a torus with at least three punctures, we show that every injection of a finite index subgroup of Mod(S) into Mod(S) is the restriction of an inner automorphism of Mod(S); this completes a program begun by Irmak. We also establish the co-Hopf property for finite index subgroups of Mod(S).Dan Margalit: Partially supported by an NSF postdoctoral fellowship     

Shift,Rotation and Limited Scale Invariant Pattern Recognition Using Synthetic Discriminant Functions

Making use of the idea of synthetic discriminant functions (SDF), a simple way to synthesize a shift, rotation and limited size correlation filter is proposed. The SDF is synthesized by superimposing four 2nd order circular harmonics of a training reference pattern in 4 different sizes. Computer simulation experiments have shown that the filter is indeed shift, full rotation and limited size invariant over a size range from 1 to 1.82. The invariant range can be increased if more training patterns are used.     

芳烃混合物的三维荧光光谱的降秩因子分析

本文介绍了降秩因子（ＲＡＦＡ）方法，它是从一个多组分混合物中直接定量计算其中某一组分，而不必知道其他组分的物种及含量的一种定量分析的数学方法。它适用于双线性的数据。本实验首先将荧光分光光度计与外接计算机相连，以获得样品的激发－发射矩阵（ＥＥＭ），再用ＲＡＦＡ方法对蒽，萘，菲，芘，芴，Ｑｕ六种标样的一至五组分的混合物进行定量分析，获得满意的结果。     

含ZnS∶Mn~(2+)纳米晶玻璃中Mn~(2+)三种格位态的EPR研究

通过对ＺｎＳ∶Ｍｎ２＋ 不同含量的钠硼硅玻璃发光和激发光谱测量， 发现Ｍｎ 离子可能占据替位（Ｍｎ２＋ ）Ｓｕｂ 和间隙（Ｍｎ２＋ ）ｉｎｔ两种格位． 进一步的电子顺磁共振（Ｅｌｅｃｔｒｏｎ Ｐａｒａｍ ａｇｎｅｔｉｃＲｅｓｏｎａｎｃｅ， ＥＰＲ）实验证实了这一判断， 并从ＥＰＲ谱确认（Ｍｎ２＋ ）Ｓｕｂ， （Ｍｎ２＋ ）ｉｎｔ和Ｍｎ 团三种格位态的存在． 观测到ｇ 因子和超精细结构（ＨＦＳ）常数随纳米晶粒径的减小而增大． 这可能是由于量子限域效应下ＺｎＳ的ｓｐ３ 和Ｍｎ 的３ｄ５ 电子态杂化和表面态所引起的．