关于三次高斯和的均值

主要研究三次高斯和的均值性质，并给出一个较强的渐近公式。     

《数术记遗》中的算器研究（一）

《数术记遗》旧题汉徐岳撰，北周甄鸾注。唐代选举之制，学习《算经十书》外，兼习此书。《四库全书》提要认为当时好事因托为之，嫁名於岳。钱宝琮先生认为是甄鸾依托伪造的书。近有人提出反对，认为确为汉末作。关于作年代，另外详考。此处只对书中所载的十三种算器进行研究。     

二阶三点半正边值问题正解的存在性

利用锥的Krasnosel'skill不动点定理建立了二阶三点半正边值问题u″+λf(t,u)+δg(t,u)=0, t∈(0,1),u(0)=0, αu(η)=u(1).其中,λ,δ＞0, 0＜η＜1, 0＜αη＜1正解的存在性,这里,非线性项不需要是非负的.     

牛血清白蛋白对Pluronic聚合物胶团形成的影响研究

用吡啶作为荧光探针研究了嵌段共聚物PluronicF108胶团形成以及牛血清白蛋白(BSA)对嵌段共聚物胶团形成的影响。研究表明,BSA阻碍嵌段共聚物的胶团形成,BSA与嵌段共聚物疏水链段的疏水相互作用是其阻碍嵌段共聚物胶团形成的主要原因。     

三层干扰下的最优无线电信道问题的研究

研究了 2 0 0 0年 MCM— B题 ,将问题推广到有三层干扰的复杂情况 ,给出并严格证明了 ( k,1,1)问题的最优解     

三点共线条件在解题中的应用

由解析几何知 ,三点P1(x1,y1) ,P2 (x2 ,y2 ) ,P3(x3,y3)共线的充分必要条件是 :(x3-x1) (y2 - y1) - (x2 -x1) (y3- y1) =0 .这一结论除用于判定或求解有关解析几何的共线问题外 ,也可用于求解一些三角以及代数中的问题 ,其解法具有一定的启发性 ,下面举几例说明 .例 1　已知一次函数 f(x) =ax +b ,且 - 1≤f(- 1) ≤ 2 ,- 2≤f(2 )≤ 3,求 f(3)的取值范围 .解　由已知 f(- 1) =-a +b ,f(2 ) =2a +b ,f(3) =3a +b ,整理即-a - f(- 1) +b =0 ,2a - f(2 ) +b =0 ,3a - f(3) +b =0 ,上式表明点P1(- 1,f(- 1) ) ,P2 (2 ,f(2 ) ) ,P3(3,f(3) …     

A Mossbauer study of the magnetic coupling in iron phosphorous trisulfides

The polycrystalline sample of layered compound FePS_3 has been investigated by using M?ssbauer spectroscopy (12K to 300K), magnetic susceptibility measurements, x-ray diffraction and FTIR spectroscopy. The antiferromagnetic order exists below T_N=120.5±1K. The M?ssbauer spectra below T_N indicate that the magnetization axis is perpendicular to the layer of FePS_3, and the divalent iron cations are in their high spin configurations. By fitting the hyperfine field parameters near the Néel temperature, we obtain information on the nature of magnetic interactions in the material. The results show that the magnetic coupling can be treated by the two-dimensional Ising model, and it can be interpreted on the basis of a crystal-field effect.     

Experimental and Theoretical Evidence for the Existence of Broad Forbidden Gaps in the Three—Component Composite

The influence of localized resonance on the properties of band-gaps of the two-dimensional periodic composite are analysed numerically and experimentally by comparing the two-component phononic crystal with the three-component one. The three-component composite which exhibits localized resonance in the elastically soft coating ring is composed of a square array of coated cylinders embedded in an epoxy resin. The coated cylinders consist of a steel inner core and a rubber coating, which has much smaller wave velocity and mass density than the matrixand tile inner material. Tile measured transmission power of tile three-component composite drops to the noise level in a broad ultrasonic frequency interval in contrast to the binary composite, which is in good agreement with the calculation using the finite element method.     

非对称核物质中同位旋对称势的动量和密度依赖性

在Brueckner-Hartree-Fock理论框架内, 研究了同位旋非对称核物质中质子和中子单粒子势的动量相关性及其随同位旋非对称度的变化, 在此基础上计算了同位旋对称势, 并讨论了三体核力的影响. 结果表明同位旋对称势对于同位旋非对称度的依赖性很弱, 但对于动量和密度均有较强的依赖性. 当密度固定时, 同位旋对称势随动量增加而减小. 尽管三体核力对于质子和中子单粒子势的动量相关性有较大影响, 但对同位旋对称势的影响很小. 还与目前重离子碰撞输运理论模型中所使用的各种参数化的唯象对称势进行了比较.