关于二重极限教学的一点注记——与《微积分解题方法与技巧》一书的作者商榷

本文首先对《微积分解题方法与技巧》一书中某题的解法提出质疑;然后研究了三种不同情形下可以得出不同的结果;进而否定了该书的解法;最后指出,被高等数学广泛采用的“极坐标代换法”不能直接用于二重极限,并给出了理论上的解释和证明。     

Kinetics and mechanism of azidomercuration of alkenes,cycloalkenes, and their derivatives with a mercuric acetate-sodium azide system

The kinetics of azidomercuration of alkenes, cycioalkenes, and their derivatives with a Hg(OAc)₂-NaN₃ system (1 1, 1 2, and 1 3) was studied. Based on the data on the product structure and kinetic results, it was concluded that HgOAcN₃ and Hg(N₃)₂ play the role of azidomercuration reagents. The reactions with alkenes having a strained double bond occur by a concerted scheme. With nonstrained alkenes, a multistep mechanism is realized, its first reversible step involving the formation of a mercurinium intermediate with an ion pair structure.Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No.12, pp. 2479–2485, December, 1995.     

关于电子自旋的实验验证和理论思考

本文从斯特恩──盖拉赫实验证实电子具有自旋入手,用电子“自旋──轨道耦合”直观地解释了光谱线精细结构的双重线。     

功能梯度材料的基体与颗粒界面热应力研究

研究金属－陶瓷功能梯主材料的基体与颗粒的界面热应力。方法给出功能制备的有限元计算优化设计方案,针对所制备的梯度材料的结构特点,采用双层嵌套模型研究基体与颗粒的界面热应力与两相材料体积分数的变化关系。     

影响油气运移的应力场地温场渗流场耦合的双重介质模型

地应力场、地温场和渗流场是影响油气运移的主要因素。以此为基础,研究了含油气盆地双重介质体系内流体与岩体相互的力学作用关系,提出了双重介质体系内渗流场、岩体地应力场和地温场耦合的非线性动力学模型。     

伪距,伪距增量,载波相位双差／惯性深组合导航系统

利用滞后状态卡尔曼滤波将伪距,伪距增量以及载波相位双差同ＩＮＳ进行了深组合,仿真结果表明该组合导航系统不仅精度高,而且对解决惯导的对准问题具有突出的作用。     

双电桥桥臂电阻对电桥灵敏度的影响

通过与单电桥相比,得出双电桥桥臂电阻与电桥灵敏度的关系,从而确定了双电桥桥臂电阻选择的原则     

废黄河竖井双层涵洞试验研究

试验研究了废黄河竖井双层涵洞输送水流和泥沙运动特性。试验表明：竖井进口段过水断面呈渐趋收缩状,涵洞泄流能力增大;在通过小流量时,下层涵洞流速大,有利于依靠水力输沙;双层涵洞中间隔层具有随上下层涵洞流速差减小、脉动压力影响趋于微弱的性质。提出了轮换开启部分闸门,使开启涵洞内平均流速大于泥沙不淤流速的调控方法,解决了双层涵洞安全输送泥沙的工程措施问题。     

Accounting for the Adsorption of Anions When Interpreting the Mechanism of Electrodeposition of Metals from Complex Electrolytes: The Reaction Order by the Electrochemically Active Ion

The relationship between the current and the bulk concentration of complex ions during concurrent specific adsorption of an electrochemically active complex ion and a complexing ligand is considered. The effect of parameters that characterize adsorption of such ions and the structure of the electrical double layer on this relationship is analyzed.__________Translated from Elektrokhimiya, Vol. 41, No. 7, 2005, pp. 817–822.Original Russian Text Copyright © 2005 by Rogozhnikov.     

Inner shell structure of heavy atoms

The inner-shell structure of some heavy atoms is examined using a self-consistent relativistic local density method. Ar(K), Kr(K) and Xe (K,L ₁,L ₂ andL ₃) binding energies and {ie863-1} (hyper-satellite) energies of Tl, Hg and Tm are calculated. The results are compared with available experimental data. A part of this work was presented byMPD at the Trieste International Symposium on “Core level excitations in atoms, molecules and solids,” 22–26 June 1981, Extended Abstracts (ed.) E Tosatti, ICTP Report No. 89/81 p. 11.