Hyperbolic Bending of Vortex Lines with Finite Number and Length in Rotating Trapped Bose-Einstein Condensates

The minimal energy configurations of hyperbolic bending vortex lines in the rotating trapped Bose-Einstein condensates are investigated by using a variational ansatz and numerical simulation. The theoretical calculation of the energy of the vortex lines as a function of the rotation frequency gives self-consistently vortex number, curvature and configuration. The numerical results show that bending is more stable than straight vortex line along the z-axis, and the vortex configuration in the xy-plane has a little expansion by increasing z.     

一个“特殊”不定方程的六种解法

毕达哥拉斯学派将抽象的数作为万物的本原,认为"万物皆数",试图通过揭示数的奥秘来探索宇宙的真理.因此,他们对数作了深入的研究.并获得了很多重要的结果,其中有很多发现是对后来影响深远的趣味数学问题.     

添加钇提高不锈钢耐蚀性能的AES研究

用俄歇能谱仪对比研究了添加０．２％Ｙ对高硅不锈钢在９３％Ｈ２ＳＯ４介质中所形成的钝化膜中各元素浓度分布的影响，添加０．２％Ｙ增大了ＳｉＯ２在不锈钢钝化膜中的比例，从而使合金中Ｓｉ可充分形成富ＳｉＯ２的钝化膜。     

均匀设计抽样的一、二阶矩

（７）中给出并研究了均匀设计抽样（ＵＤＳ）及随机化均匀设计（ＲＵＤ）的一些优良性质，作者给出该设计和抽样的一、二阶矩。     

Lw-空间的拟w-Lindelof 性

在Lw-空间中引入拟w-Lindelof性的概念，讨论拟w-Lindelof性的一些基本性质，给出拟w—Lindelof性的几个等价刻画。     

ESTIMATION OF SULFUR SOLUBILITY AND PREDICTION OF SULFIDE LIQUID IMMISCIBILITY IN SILICATE MELTS

A set of 201 experimental data on solubility of sulfur in silicate melts was collectedfrom literature to formulate the changes of sulfur solubility as a function of bulk compo-sition of the melts and pressure, temperature, and the fugacity of oxygen and sulfur. Aregular solution model and a polynomial function have been put forward, from which sol-ubility of sulfur in natural silicate magmas can be estimated. Synthetic application of twomethods makes it possible to evaluate activity of FeS in a silicate melt, which will be po-tentially valuable for predicting immiscibility of sulfide liquid in magmatic processes.     

YAlO_3:Nd~(3+)斯塔克子能级的能量值计算

用Racah-Judd的不可约张量方法计算了YAlO_3:Nd~(3+)全谱项的斯塔克子能级的能量值。根据计算结果,对YAlO_3:Nd~(3+)的子能级作了全面和较确切的归属。     

氟代糖的合成

本文综述了氟代糖合成的新进展及利用选择性氟化合成具有生物活性的物质。     

带有扰动的极大单调算子的映照定理

[1]及[3]中都有关于带奇扰动的奇极大生长算子的满值性结果。木文用同伦于奇映象的非线性映象代替奇映象,改进了[1]及[3]中的一些结果。接着用所得结果考察了一类半线性椭圆方程Dirichlet问题的可解性。