与Euler函数有关的误差项均值估计

设ψ(n)是Euler函数,r是正实数.以E(x,r)表示和式的渐近公式中的误差项,本文研究了E(x,r)的算术均值和积分均值.     

Function S-rough Sets and Their Law Characteristic

Function S-rough sets(Function Singular rough sets) are defined by R-function equivalence class which has dynamic characteristic, and a function is s law, function S-rough sets have law characteristic. Function S-rough sets has these forms: function one direction S-rough sets, function two direction S-rough sets and dual of function one direction S-rough sets. This paper presents the law characteristic of function one direction S-rough sets and puts forward the theorems of law-chain-attribute and law-belt. Function S-rough sets is s new research direction of the rough sets theory.     

大型动态规划的分解算法

An approach about large dynamic programming based on discrete linear system with a quadratic index function is proposed by importing two Lagrange multipliers.     

利用光折变晶体的电光、压电效应实现2×2光开关的原理

讨论了在光折变LiNbO3晶体中建立电场控制的 2× 2直通交换开关的原理设计方案。通过控制读出光栅时外加电场的大小使读出光满足或偏离布拉格条件 ,从而控制衍射效率为 1或 0 ,实现开关的交换和直通操作。全面考虑了电场作用下晶体的压电和电光效应 ,基于衍射效率公式和光栅的布拉格条件 ,给出了为获得最佳衍射效率比时外加电场及写入光束比与记录角度间的关系曲线     

融熔织构YBa_2Cu_3O_7的电阻展宽

测量了融熔织构 YBa_2Cu_3O_7在磁场中电阻转变的展宽效应.发现 R(T,H)=R_0exp[-U_0/k_BT],仍满足 Arrhenius 关系,钉扎能 U_0(H)仅为 eV 量级.讨论了影响 J_c 和磁通蠕动的因素.     

氢流体的第二维里系数

本文根据Lennard-Jones(LJ)势,modified Buckingham(exp-6)势,Silvera-Goldman(SG)势和Nellis et al.(NEL)势,计算氢流体的第二维里系数,并从第二维里系数求得波义耳温度、焦耳-汤姆森效应的转变温度,并与实验结果进行了比较。最后评价了各种互作用势在不同温度下的适用性:LJ势在高温下有极好的结果,但在低温下误差较大;其中NEL势在低温下与实验结果符合得最好,SG势次之,但这两种势在高温下都不好;exp-6势在高温下不如LJ势,而在低温下是最糟的。     

Effect of Laser Cooling on Frequency Standard of Single Ca^＋ Ion Trapped in a Radio-Frequency Paul Trap

The source of systematic frequency shift of single-ion optical frequency standard of^40 Ca^＋ ion trapped in endcap trap and laser-cooled to a few of mK is analysed and calculated. Second-order Doppler shift, Stark shift due to micromotion and thermal motion, blackbody Stark shift and ac Stark shift are calculated for the ground state and excited 3d ^2D5/2 state. The Hertz-level measurement of the optical clock frequency in a single ^40Ca^＋ ion can be performed.     

“创新驱动、优体强翼”的大学物理课程体系构建

本文介绍了成都理工大学数理学院大学物理教学部“大学物理”课程体系的构建与实践,本大学物理课程依托中国大学慕课、超星学习通等在线平台,构建了以教师教学引导、学生自主学习、人才培养为核心的线上线下教学模式.本文以育人创新为核心驱动力,优化了大学物理课程教学体系,强化了创新教学内容、创新教学模式、创新课程考核机制和创新能力培养方式,并对创新效果和存在的“痛点”问题进行了分析总结,探索并构建了“创新驱动、优体强翼”的大学物理课程体系.     

ON A GENERALIZATION OF BERTRAND’S THEOREM

Bertrand’s theorem for the determination of the applied forces to a holonomicsystem from one of its first integrals,is extended to nonholonomic systems.Someinteresting applications of this new result are also given.