关于多值解析函数的教学研究

复变函数论中的多值函数教学是一个难点.钟玉泉先生的教材在这一难点的处理方面是较成功的.他通过例题,介绍多值函数分成单值分支的方法,介绍求函数值的方法,并对这些方法进行了总结,得出的结论是:当给定初值后,只有通过连续变化才能得到其它点的函数值.这一点和传统的代入法求函数值完全不同.然而该教材就在这一总结之后,又用代入法求Arcsin2.我们认为这自我否定了刚刚建立起来的求值方法,扰乱了读者的思想.本文通过对Arcsinz分成单值解析分支的讨论,对求Arcsin2提出了新的教材处理方案,以期和读者商榷.     

An extended segment pattern dictionary for a pattern matching tracking algorithm at BESⅢ

A pattern matching based tracking algorithm, named MdcPatRec, is used for the reconstruction of charged tracks in the drift chamber of the BES detector. This paper addresses the shortage of segment finding in the MdcPatRec algorithm. An extended segment construction scheme and the corresponding pattern dictionary are presented. Evaluation with Monte-Carlo and experimental data show that the new method can achieve higher efficiency for low transverse momentum tra     

三叶孔板换热器壳程流体流动和传热研究

三叶孔支撑板是广泛应用于核电站换热器中的一种管束支撑结构,其性能的好坏对核电厂的运行及安全有着重要的影响。文中运用"单元流道"模型,分析了流道内流动和传热的细观特性,研究了三叶孔支撑板换热器中开孔高度、支撑板间距和壳程流量对传热、压降的影响。结果表明,三叶孔支撑板换热器的性能随开孔高度和支撑板间距的增加而增加,随壳程流量的增加而降低。     

Installation and cosmic ray test of the high voltage system of the BESⅢ drift chamber

After examination of the designed high voltage power supply system of the BESⅢ drift chamber in the beam test of the full length prototype of drift chamber, a full system covering all the channels of high voltage was installed. The system's training and the high voltage value adjustment were carried out in the cosmic ray test of the BESⅢ drift chamber. The cosmic ray test for the full system and its final installation on the BESⅢ drift chamber were reported. The full system of high voltage power supply works stably and reliably.     

数学定理教学的“转识成智”——以初中“垂径定理”起始课为例北大核心

1问题提出重视定理教学“过程”是核心素养培养的必然要求,也获得了中小学数学教师的广泛赞同,但有些“过程”却事与愿违.以初中“垂径定理”的教学为例,很多教师并没有关注到这是“圆”章节的起始定理,直接让学生沿直径翻折圆形纸片,得出圆的轴对称性,并用动态课件验证(环节1);继而形式化分析证明圆的轴对称性,由此得到“垂径定理”(环节2).     

Enhanced thermoelectric properties of p-type polycrystalline SnSe by regulating the anisotropic crystal growth and Sn vacancy

Thermoelectric selenides have attracted more and more attentions recently.Herein,p-type Sn Se polycrystalline bulk materials with good thermoelectric properties are presented.By using the SnSe_2 nanostructures synthesized via a wetchemistry route as the precursor,polycrystalline Sn Se bulk materials were successfully obtained by a combined heattreating process under reducing atmosphere and following spark plasma sintering procedure.As a reference,the Sn Se nanostructures synthesized via a wet-chemistry route were also fabricated into polycrystalline bulk materials through the same process.The thermoelectric properties of the Sn Se polycrystalline transformed from SnSe_2 nanostructures indicate that the increasing of heattreating temperature could effectively decrease the electrical resistivity,whereas the decrease in Seebeck coefficient is nearly invisible.As a result,the maximum power factor is enhanced from 5.06×10~(-4)W/m·K~2to 8.08×10~(-4)W/m·K~2at 612~?C.On the other hand,the reference sample,which was obtained by using Sn Se nanostructures as the precursor,displays very poor power factor of only 1.30×10~(-4)W/m·K~2at 537~?C.The x-ray diffraction(XRD),scanning electron microscope(SEM),x-ray fluorescence(XRF),and Hall effect characterizations suggest that the anisotropic crystal growth and existing Sn vacancy might be responsible for the enhanced electrical transport in the polycrystalline Sn Se prepared by using SnSe_2 precursor.On the other hand,the impact of heat-treating temperature on thermal conductivity is not obvious.Owing to the boosting of power factor,a high z T value of 1.07 at 612~?C is achieved.This study provides a new method to synthesize polycrystalline Sn Se and pave a way to improve the thermoelectric properties of polycrystalline bulk materials with similar layered structure.     

水发食品中甲醛含量快速检测的实验研究

利用品红亚硫酸钠溶液与醛类物质反应后颜色深浅与浓度成正比的原理,使用5种标准浓度的甲醛溶液与希夫试剂反应显色后制作标准比色卡。用待测样品显色后的溶液与制作的标准比色卡进行比对,判断甲醛浓度范围。该方法具有现象明显、灵敏准确、药品易得的优点。因此,可用作中学生课外兴趣实验的实施项目,配制的希夫试剂和制作的标准比色卡也可用于家庭检测水发食品中甲醛含量。     

破译皮蛋的化学密码

皮蛋作为我国传统的风味蛋制品,是一道享誉海内外的餐桌美食。通过介绍蛋白和蛋黄的pH和游离碱度的变化、蛋黄凝胶强度的变化以及蛋黄和溏心中化学键的变化来了解皮蛋凝胶的形成过程;通过前体物的降解、脂质的氧化和美拉德反应来探索皮蛋风味产生过程的化学变化;通过分析蛋白颜色和蛋黄颜色变化所涉及到的化学反应来解密皮蛋颜色形成中的化学变化;最后通过实验分析确定形成松花的化学物质。通过破译皮蛋的化学密码,让大家感受到化学与生活的紧密联系,并激发学生对化学的兴趣。     

植物样品中痕量氟的离子色谱法分析

建屯了碱熔法/离子色潜法测定植物样品中痕量氟的分析方法.样品于镍坩锅中500 ℃碱熔融后,经溶解、过滤,进样分析.氟离子经Metrosep A Supp 5阴离子交换柱分离,化学抑制电导检测.氟离子的线性范围为0.005～50 mg/L,相对标准偏差为5.3%,氟的检出限为0.01 mg/kg.该法适合于批量植物样品中痕量氟的测定.     

锂原子修饰碳原子链团簇的结构和储氢性能研究北大核心CSCD

利用密度泛函理论研究锂原子修饰线型碳原子链团簇Li2Cm（m＝2－8）的结构及其储氢性能．结果表明, Li原子可键合于碳链团簇的两端,Li原子本身不发生团聚,氢在Li2 Cm （ m＝2－8）中能以分子形式吸附,每一个Li原子最多可吸附5个氢分子,氢分子的平均吸附能为0．460～2．276 kcal·mol^－1．其中Li原子修饰C2团簇的质量储氢分数最大,为34．72 wt％,表明了它在常温常压条件下作为储氢材料的可行性．