具有平行平均曲率向量的伪脐子流形的Pinching定理

设M2n p q是n p q维δ-pinching黎曼流形,M1n p(c1)为M2n p q中的n p维常曲率为c1的子流形,设Mn为M1n p(c1)中具有平行平均曲率向量的紧致伪脐子流形.本文给出Mn是M1n p(c1)的全脐子流形的几个充分条件.     

高维δ函数在系综理论里的应用

对Gibbs系综的概念进行抽象和推广,把系综表示为三元组{Γ,Ω,ρ（q）}.运用高维δ函数将态矢量q的分量以及函数的几率分布写为统一的积分形式.导出一个约束条件下等概率系综的分布函数,它可以写成δ函数的形式.将所得结论用于讨论理想气体,运用Laplace变换法解决δ函数积分的问题,导出经典理想气体的麦克斯韦-玻尔兹曼分布律.     

弱L-余拓扑空间中的Moore-Smith收敛理论

在弱L-余拓扑空间中,借助于弱闭集给出了Cδ-远域等概念,建立了弱L-余拓扑空间中的Moore—Smith收敛理论,研究了它的若干性质．     

δ-Hom-Jordan李色代数的T*-扩张

先通过2-上圈和余伴随表示构造δ-Hom-Jordan李色代数的T*-扩张, 得到T*-扩张T^*_ωL的可解性和幂零性, 然后给出平凡T*-扩张T^*₀L具有分解性的充分条件.     

δ-李color代数的交换扩张

通过δ-李color代数T的表示和2-上圈,构造了δ-李color代数T⊕V。然后证明了δ-李color代数的等价交换扩张给出相同的表示。最后通过δ-李color代数的表示和其交换扩张得到2-上圈。     

An improved δ-Eddington approximation

Based on an accuracy analysis of two-stream approximations, an improved δ-Eddington approximation is developed. The approximation has much better accuracy than all exiting two-stream approximations as the optical depth is less than unity. As the surface reflectance is zero and the optical depth is less than unity, errors in both transmission and reflection calculated by the present approximation are more one time less than those by other two-stream approximations. In the case of aerosol optical depth of < 1, surface reflectance of <0.6, solar zenith angle of <78° and aerosol imaginary index of <0. 05, transmission and reflection errors calculated by the improved δ-Eddington approximation are generally less than 3.5% and 2.6%, respectively. The errors are over 41% and one times less than those by Eddington or δ-Eddington.     

广义生灭矩阵的对偶q-矩阵Q~*及最小Q~*-函数

本文讨论广义生灭矩阵Q的对偶q-矩阵Q*的基本性质,结合基本性质得出在一定条件下Q*强零入、零出的数字刻画,并由此推出在相应条件下,Q强零入当且仅当Q*零出,Q零出当且仅当Q*强零入,从而找到了Q与Q*在性质上的关联。本文还讨论了最小Q*函数的基本性质,并得出在一定条件下最小Q-函数的对偶恰是最小Q*函数。