数学串诗一首

忧愁是可微的，快乐是可积的，在趋向于正无穷的日子里，幸福是连续的，对你祝福可导且大于零，祝你生命里快乐和幸福的复合函数总是最大值!     

Quantum Games of Continuous Distributed Incomplete Information

We study two-player quantum games of incomplete information in which both the sides have partial information.The previous results of Du et al. [Phys. Rev. E 68 (2003) 016124] are incorporated in our more general formalism.Because of different roles played by the total information uncertainty and the information asymmetry, the game exhibits many interesting features.     

连续照明时成像对比度与气象条件的关系

 通过同轴激光连续照明成像模型分析了大气后向散射对成像对比度的影响，得出了考虑散射因素时成像对比度的计算公式。基于不同气象条件下大气粒子散射特点，讨论了霾和雾两种不同天气时成像对比度随照明距离的变化规律，并与实验结果进行了对比，计算结果与实验吻合较好。     

晶体微观结构的数值计算

晶体微观结构是晶体材料在特定物理条件下其多个能量极小平衔态在空间形成的某种微尺度的规则分布．几何非线性的连续介质力学理论可以用能量极小化原理来解释晶体微观结构的形成，并用Young测度来刻画平衡态各变体在空间的概率分布．定性的理解与定量地分析和计算晶体材料的微观结构对于发展和改进高级晶体功能材料，如形状记忆合金、铁电体、磁至伸缩材料等，有重要的意义．本文回顾了近年来晶体微观结构数值计算方面的最新进展．介绍了计算晶体微观结构的几种数值方法及有关的数值分析结果。     

164Lu的三轴超形变核态的研究

利用TRS方法对双奇核¹⁶⁴Lu的位能面进行了计算,确认了¹⁶⁴Lu核的一条三轴超形变带,结果与实验较好地符合,同时指出了三轴超形变带的一个具体的组态     

Electron Spin Resonance Studies of Mn^2＋ in Freshwater Snail Shells： Pomacea Canaliculata Lamarck and Fossilized Snail Shell

We study paramagnetic Mn^2 ions present in the nowadays shells of univalve freshwater snails of Pomacea canaliculata lamarck (PCL) and the fossilized freshwater snail (FFS), Viviparus. All these shells are abundant in Thailand. The PCL shells were ground into fine powder. A set of seven samples were then separately annealed for 2 h in air atmosphere at different annealing temperatures while the FFS powder was characterized as-received. The PCL shells mainly consist of aragonite and a fraction of calcite. The heat treatments of the PCL powder samples at temperature higher than 450℃ resulted in an irreversible phase transformation from aragonite to calcite. However, it is found that the FFS shell is mainly made of calcite, with a minor fraction of aragonite. The crystal structure of the high-temperature-annealed PCL samples are quite similar to that of FFS, which indicates that the metamorphosis (aragonite→calcite) in the FFS shell had occurred but was not yet completed, although it had remained under the pressure and temperature of the Earth‘s crusts over millions of years. Our detailed ESR spectral analyses of PCL and FFS show that Mn^2 ions enter the Ca^2 sites during a biomineralization process. Simulated ESR parameters of PCL-500 of Mn^2 at a uniaxial site of calcite are reported. It is surprising to And that the ratio of Mn^2 concentration present in FFS to those in PCL shells evaluated from ESR spectra is as much as 10:1.     

连续调查的整群抽样

本文讨论了连续调查中应用普查方法时的整群抽样和分层整群抽样。     

具连续分布滞量的非线性中立型抛物偏泛函微分方程的振动性

考虑一类具连续分布滞量的非线性中立型抛物偏泛函微分方程解的振动性,借助Green定理和时滞微分不等式获得了这类方程在Robin,Dirichlet边值条件下所有解振动的若干充分条件.     

折叠萝卜螺生物学初步研究

对采自南昌近郊池塘折叠萝卜螺一种群的生物学进行了初步研究，并就其贝壳的形态和其它种群作了比较，测量了210个折叠萝卜螺的壳高（H），壳宽（W）和体重（T），三者之间的关系可分别表示为：T＝0．0009H^2.632,T=0.0047W^1.8915,W=0.6899H-0.3437,在野外，折叠萝上课累在南昌地区从2－6月都能产卵，其中3－4月达高峰期，在室内3，5，6月为产卵高峰，4月几乎不产卵，折叠萝卜卵的孵化率很高，平均孵化率为95．66％，最高达100％，最低也有89．5％，幼螺的死亡率高达50％以上。