"数学实验"课程体系的构建

数学实验是适应素质教育提出的,国家教育部积极倡导开设的一门新型实验课程,该课程在大学数学教学改革中具有重要地位.在教学实践基础上,初步确立了数学实验的教学指导思想、教学内容、教学模式和考核评价体系,并对开设课程的途径、实施教学环节过程中需要注意的问题进行了讨论.     

高压下TiN的结构转变、弹性和热力学性质的第一性原理计算

 利用基于密度泛函的第一性原理,计算了高压下TiN的结构转变、弹性和热力学性质。计算结果表明：在压力作用下,TiN经历了从NaCl型结构到CsCl型结构的转变,转变压力为348 GPa;TiN的弹性系数随着压力的增加呈线性增加规律。此外,还给出了德拜温度和热容量这两个重要热力学量与温度和（或）压力的依赖关系。     

基于块采样的纹理合成算法改进

通过引入最小误差映射表数据结构,改进图像重叠区域最小误差分割算法,以提高纹理合成过程的纹理块匹配速度.通过对可接受误差范围参数进行调整,实现纹理选取过程的优化,提高合成图像的质量.以二值化的原始纹理块和合成图像中的黑色像素点百分比折线对比、黑色区域数量折线对比作为合成效果的评价依据,给出合成图像效果的评价算法.试验结果表明,改进算法在提高合成速度、改善合成效果方面都较理想.     

体育统计方法应用中的几个误区

章对近几年来在国内体育核心期刊上发表的应用统计方法论进行了抽样调查,常见有样本缺乏代表性;对比资料无可比生;随机分组不均衡性;统计结论描述不确切性;以及配对比较和小样本均值检验应用失当等误区,并对其进行了剖析。     

一类2n+1次多项式系统赤道环的稳定性

研究一类 2n 1次多项式系统赤道环的稳定性 ,利用形式级数法并通过Mapple数学软件计算后得到了系统的前 12个奇点量公式 ,可积性条件及在赤道环的一个邻域内充满闭轨的充分条件。     

First-principles investigation of the electronic, elastic and thermodynamic properties of VC under high pressure

An investigation of the electronic,elastic and thermodynamic properties of VC under high pressure has been conducted using first-principles calculations based on density functional theory (DFT) with the plane-wave basis set,as implemented in the CASTEP code. At elevated pressures,VC is predicted to undergo a structural transition from a relatively open NaCl-type structure to a more dense CsCl-type one. The predicted transition pressure is 520 GPa. The elastic constant,Debye temperature and heat capacity each as a function of pressure and/or temperature of VC are presented for the first time.     

电网工程技术经济分析系统建设研究

随着电网投资规模的加大,工程造价水平对电网发展的影响愈发显著,电网工程造价也因此倍受关注。基于电网工程技术经济研究现状,建立了数据覆盖面广、数据内容较为完善的省级电网工程技术经济数据库,并通过提取关键技经指标,建立了单项工程分析评估系统,实现评审工程与典型工程、历史工程的自动匹配,辅助技经专家进行技经专业评价,提高评审效率及评审质量,为优化电网工程建设方案,合理控制工程造价提供平台工具和决策参考。     

数学教学改革与素质教育

本文论述了数学教育与素质教育的关系及数学教学对素质教育的重要作用，探讨了通过数学教学改革促进素质教育的方法。     

LambertW函数性质及其应用

介绍了LambertW函数的代数及图像性质,如该函数的级数展开式、微分及函数在复平面的图像等。总结了其在数学、物理、化学和生物等领域的应用情况。     

Enhancement of spin-orbit torque efficiency by tailoring interfacial spin-orbit coupling in Pt-based magnetic multilayers

We study inserting Co layer thickness-dependent spin transport and spin-orbit torques (SOTs) in the Pt/Co/Py trilayers by spin-torque ferromagnetic resonance. The interfacial perpendicular magnetic anisotropy (IPMA) energy density ($K_{\rm s}= 2.7 $ erg/cm$^{2}$, 1 erg = 10$^{-7}$ J), which is dominated by interfacial spin-orbit coupling (ISOC) in the Pt/Co interface, total effective spin-mixing conductance $(G_{\mathrm{eff,tot}}^{\mathrm{\uparrow \downarrow }}=\mathrm{0.42\times }{10}^{15} \mathrm{\Omega }^{-1}\cdot\mathrm{m}^{-2}$) and two-magnon scattering ($\beta_{\mathrm{TMS}}= 0.46 {\mathrm{nm}}^{2}$) are first characterized, and the damping-like torque ($\xi_{\mathrm{DL}}= 0.103$) and field-like torque ($\xi _{\mathrm{FL}}=-0.017$) efficiencies are also calculated quantitatively by varying the thickness of the inserting Co layer. The significant enhancement of $\xi_{\mathrm{DL}}$ and $\xi_{\mathrm{FL}}$ in Pt/Co/Py than Pt/Py bilayer system originates from the interfacial Rashba-Edelstein effect due to the strong ISOC between Co-3d and Pt-5d orbitals at the Pt/Co interface. Additionally, we find a considerable out-of-plane spin polarization SOT, which is ascribed to the spin anomalous Hall effect and possible spin precession effect due to IPMA-induced perpendicular magnetization at the Pt/Co interface. Our results demonstrate that the ISOC of the Pt/Co interface plays a vital role in spin transport and SOTs-generation. Our finds offer an alternative approach to improve the conventional SOTs efficiencies and generate unconventional SOTs with out-of-plane spin polarization to develop low power Pt-based spintronic via tailoring the Pt/FM interface.