正、余弦定理的叠用与联用

在国内外的各级各类数学考试中,有许多几何试题,初看起来非常棘手,但如能巧妙联用或叠用正、余弦定理,常能使问题非常迅速地得到简解。     

（Bi,Pb）2Sr2（R,Ce）2Cu2O10＋δ超导体碘嵌入后结构和Tc变化研究

超导体系（Ｐｂ１．８Ｐｂ０．２）Ｓｒ２（Ｒ１．７Ｃｅ０．３）Ｃｕ２Ｏ１０＋δ（Ｒ＝Ｎｄ，Ｓｍ，Ｃｄ，Ｙ）经碘嵌入后形成一个ｃ轴拉长的新结构。每个式子可含一个碘原子。碘使每个（ＢｉＯ）双层膨胀３．４至３．６Ａ，体系氧含量减少从而导致Ｔｃ下降。与其它超导体系相比，碘嵌入的样品的（ＣｕＯ２）面间距很大，但Ｒ＝Ｓｍ，Ｎｄ的样品仍然超导，这意味着（ＣｕＯ２）面间偶合对超导性产生并不重要。     

Low—Lying Resonance States of Slow Electron Collisions With Atomic Oxygen

A 39-target state close-coupling calculation of low-energy electron scattering from atomic oxygen is carried out with core-valence electron correlation by using R-matrix method. It is shown that the elastic cross section has a huge and sharp increase with the electron energy going down below 1eV. This remarkable structure is attributed to a few very low-lying potential resonances and the features of these resonances are given with partial cross sections. It is also shown that after considering excitations of two electrons from 2s shell, the three lowest atomic energy levels are in agreement with experimental results better than that just considering excitations of two electrons from the 2p shell as well as only one electron from the 2s shell. Elastic and two excitation (^3P→^1D and ^3P→^1S) cross sections are given and compared with the other theoretical and experimental results.     

A=40—70偶中子核素光子穿透系数的关联现象

本文给出了在共振区光子穿透系数的表示式,它由三部份组成,分别对应复合核统计过程、复合核弹性散射道及非弹性散射道中的辐射退激过程.研究了在中子强度函数3s巨共振区13个偶中子核素的中子辐射俘获截面.中子能量范围为3MeV以下的共振区.结果表明,在同时考虑了统计和非统计过程后,可以解释实验测量的总俘获截面及γ能谱.     

Born—Infeld方程与极值曲面

本文是研究具有孤立子解的Born-Infeld方程,证明了它的解曲面是三维Minkowski空间M~(2.1)中的极值曲面,并应用Legendre变换在不同区域构造了解曲面的参数表达式。     

不可压缩流体平面流动分离的充分判据

本文研究了不可压缩流体平面流动的分离判据问题。得到了比文献[1]更为普遍的分离的充分判据,即定理一。文中指出,MRS判据,零涡判据,奇点判据以及文献[2]的判据在非定常流动中均不是充分的。     

(C,α,ρ,d)-凸极大极小分式规划的最优性条件

定义了一类存在性更为广泛的广义凸性，（C，α，ρ，d）-广义凸；获得了在非光滑情形下极大极小广义分式规划的最优性必要条件；利用（C，α，ρ，d）-广义凸性我们得到了极大极小广义分式规划的最优充分性条件。     

Sturm-Liouville边值问题解的非存在性、存在性和多重性结果

本文研究下述Sturm-Liouville边值问题利用Schauder不动点定理、上下解方法和Leray-Schauder映射度理论,获得了解的非存在性、存在性和多重性结果.其中一些是全新的结果,另一些则扩展、改进和完善了由Erbe,Wang,Hai,Lee和Lin所获得的结果.     

Theoretical simulations of emission spectra of Fe^7＋ and Fe^＋8

The energy levels, oscillator strengths, spontaneous radiative decay rates, and electron impact collision strengths are calculated for Fe VIII and Fe IX using the recently developed flexible atomic code （FAC）. These atomic data are used to analyse the emission spectra of both laboratory and astrophysical plasmas. The nf-3d emission lines have been simulated for Fe VIII and Fe IX in a wavelength range of 6-14 nm. For Fe VIII, the predicted relative intensities of lines are insensitive to temperature. For Fe IX, however, the intensity ratios are very sensitive to temperature, implying that the information of temperature in the experiment can be inferred. Detailed line analyses have also been carried out in a wavelength range of 60-80 nm for Fe VIII, where the solar ultraviolet measurements of emitted radiation spectrometer records a large number of spectra. More lines can be identified with the aid of present atomic data. A complete dataset is available electronically from http：//www.astrnomy.csdb.cn/EIE/.     

钙钛矿相界面插层对SrFeOx基忆阻器的性能提升

SrFeO_x(SFO)是一种能在SrFeO_2.5钙铁石(BM)相和SrFeO₃钙钛矿(PV)相之间发生可逆拓扑相变的材料.这种相变能显著改变电导却维持晶格框架不变,使SFO成为一种可靠的阻变材料.目前大部分SFO基忆阻器使用单层BM-SFO作为阻变功能层,这种器件一般表现出突变型阻变行为,因而其应用被局限于两态存储.对于神经形态计算等应用,单层BM-SFO忆阻器存在阻态数少、阻值波动大等问题.为解决这些问题,本研究设计出BM-SFO/PV-SFO双层忆阻器,其中PV-SFO层为富氧界面插层,可在导电细丝形成过程中提供大量氧离子并在断裂过程中回收氧离子,使导电细丝的几何尺寸(如直径)在更大范围内可调,从而获得更多、更连续且稳定的阻态,可用于模拟长时程增强和抑制等突触行为.基于该器件仿真构建了全连接神经网络(ANN),在手写体数字光学识别(ORHD)数据集进行在线训练后获得了86.3%的识别准确率,相比于单层忆阻器基ANN的准确率提升69.3%.本研究为SFO基忆阻器性能调控提供了一种新方法,并展示了它们作为人工突触器件在神...