“Eisenstein判别法的应用”一文的注记

文[1]对Eisenstein判别法的应用范围进行了讨论,对二次不可约多项式得到了非常完整的结果。对一般的n次整系数不可约多项式f(x)作变换x=y+k后能否用Eisenstein判别法来判定也作了一些有益的探讨. 文[1]同时提出了疑问,“是否对任何有理     

Effect of pressure grads on convection in inner core of type II supernova

By adjusting the pressure grads in the stage of formation of the shock wave, a successful prompt explosion process has been numerically simulated through a progenitor model of 15Msolar, in which the effects of pressure grads on various convections, including the Rayleigh-Taloy （R-T） convection, the lepton driven convection and the negative entropy grads driven convection, in an inner core are analysed. The simulation results showthat the increase of the pressure grads in the inner core region may cause a powerful convection, which causes energy transfer from the inner core to the shock wave rapidly and efficiently.     

A possible experimental observable for the determination of neutron skin thickness

The dependence between neutron skin thickness and neutron abrasion cross section （σnabr） for neutron-rich nuclei is investigated within the framework of the statistical abrasion ablation model. Assuming that the density distributions for proton and neutron are of Fermi-type, and adjusting the diffuseness parameter of neutron density distribution in the droplet model, we find out the good linear correlation between the neutron skin thickness and the abrasion cross section σnabr for neutron-rich nuclei. The uncertainty of neutron skin thickness determined from σnabr is very small. It is suggested that σnabr can be used as a new experimental observable to extract the neutron skin thickness for neutronrich nucleus. The scaling behaviours between neutron skin thickness and σnabr, separately, for isotopes of ^26-35Na, ^44-56Ar, ^48-60Ca, ^67-78Ni are also investigated.     

空间相位调制对强非局域空间光孤子的影响

利用空间相位调制技术和数值分析的方法，讨论了高斯光束在强非局域非线性平板波导中的传输问题，发现只要介质的响应具有对称性,光束就会有相同的演化规律，可控的空间相位调制参数不仅能让光束自偏转还能实现分束，其全新特性在全光开关及分光器上有潜在的应用价值. 关键词： 强非局域空间光孤子 空间相位调制 光偏转 光开关     

一道客观性压轴题的六种求解视角

在一次高三数学阶段性检测中,笔者所在的命题组以下面一道题作为了该次检测的客观性压轴题,但从评卷结果以及命题组在考后所做的问卷调查来看,学生选出正确结果的比例尤其是思维正确率并不高,而且反映出了学生的基本技能技巧以及多种数学思想方法的综合运用能力不容乐观．本文以该题为例,谈一谈此题的六种切入视角,供大家参考．     

A study of hadronic shower development in the ECAL of the alpha magnetic spectrometer Ⅱ

In this paper, we studied the development of hadronic shower in an electromagnetic calorimeter of Alpha Magnetic Spectrometer Ⅱ. Two parametrized empirical formulae were proposed to describe the hadronic shower shape in calorimeter. Using 100 GeV proton beam incident on the center of the ECAL, detailed plots of lateral and longitudinal hadronic shower behavior were given and we found the formulae can describe the development of the hadronic shower with the test beam data. The possible application of the parametrized formulae including e^±-π^± discrimination and tau jet reconstruction was discussed.     

液相沉积法制备可磁分离复合光催化剂纳米球及其催化性能

采用反胶束和液相沉积法制备了一种可磁分离的复合光催化剂纳米球TiO2@SiO2@NiFe2O4,并运用X射线衍射和透射电镜对样品进行了表征.结果表明,NiFe2O4纳米粒子被包裹在SiO2内形成磁性SiO2@NiFe2O4纳米球载体,纳米TiO2粒子沉积于其表面,形成TiO2光催化壳层.光降解实验结果表明,当沉积液中硼酸与六氟钛酸铵的摩尔比为4,焙烧温度为300C时,制备的纳米球催化剂表现出最佳的光催化活性.     

食品中残留过氧化氢的测定

利用猪血红蛋白(pHb)的催化特性,以3,3’,5,5’-四甲基联苯胺(TMB)为底物,建立了一种催化光度终止法测定食品中残留过氧化氢(H2O2)的方法。实验考察了终止剂的类型和浓度、反应时间、pH、温度、TMB浓度对H2O2检测的影响。在选定的反应条件下,体系吸光值与H2O2浓度在1.46×10-6～2.91×10-5mol/L范围内呈良好的线性关系,线性相关系数为0.9958,方法对H2O2的检出限为5×10-7mol/L,测定标准偏差为4.9%,样品的加标回收率为92.9%～103%,利用该方法进行了实际样品中的H2O2分析,结果与国标法无显著性差异。     

过冷液氮温度下块材的悬浮特性及其仿真研究

随着温度的降低, 超导块材表现出的超导特性也随之变化. 本文结合现有实际应用的车载超导块材冷却方法, 通过改变气压的方式营造过冷液氮温度条件, 探究块材组合与 Halbach 轨道之间的悬浮特性. 由于实验测量存在一定局限性, 只能完成部分工况条件下的研究. 为了更加系统全面的研究, 本文对过冷状态下超导块材的悬浮特性进行仿真计算, 通过与实验结果对比来确定仿真参数. 结果显示, 仿真计算与实验数据吻合度较高, 为后期的研究工作提供了仿真工具.     

非奇H-矩阵的新判定准则

正1引言非奇H-矩阵在数学、物理、控制论及经济学等许多领域有着重要的研究价值和实用价值.但判定一个矩阵是否为非奇H-矩阵却比较困难.近年来,国内外许多学者提出了一些实用的判定条件~([1-6]).本文根据α-对角占优矩阵与非奇H-矩阵的关系,给出了非