面积比较与上调和函数及其应用

本文研究了无穷远处具非负截曲率的完备非紧流形的几何和解析性质,并将 它应用于调和映照.     

乘积空间上的一类平方函数*

研究乘积空间Rn×Rm上某种平方函数的Lp有界性,由所得结果的标 准情形可得当Ω∈Llog+L(Sn-1×Sm-1)且满足消失性条件时,乘积空间上的 Marcinkiewicz积分算子在Lp(Rn×Rm)(P>1)上有界．     

CONSTRUCTION OF SOME KIESSWETTER-LIKE FUNCTIONS-THE CONTINUOUS BUT NON-DIFFERENTIABLE FUNCTION DEFINED BY QUINARY DECIMAL

In this paper, we construct some continuous but non-differentiable functions defined by quinary decimal, that are Kiesswetter-like functions. We discuss their properties, then investigate the Hausdorff dimensions of graphs of these functions and give a detailed proof.     

通过直线拟合的截距发现系统误差

通过对直线拟合中截距的分析发现系统误差.     

障碍平方期权的定价

本讨论了一种变异期权——收益结构为平方的障碍期权，在股票价格服从几何布朗运动的模型下，由带单侧吸收壁的布朗运动的密度和分布函数得到连续障碍平方期权的定价公式．     

Effect of the Initial Mass Function of Primaries on Binary Stellar Populations

Using evolutionary population synthesis technique, we explore the behaviour of the integrated U-B,B-V, V-R and R - I colours, the integrated spectral energy- distributions (ISEDs) and Lick/IDS absorption-line indices of instantaneous burst solar-metallicity binary stellar populations, as a function of the initial mass function (IMF)of primaries. It is found that the variation of the IMF of primaries produces a small effect on the integrated colours and the Lick/IDS indices, while a significant difference in the absolute ISEDs.     

一些随机重合点定理

本文引入了一种满足更一般的收缩不等式的多重函数类,并证明了属于该类的可测多重函数对的一些随机重合点定理。     

关于气体中有无速率为无穷大分子的再讨论

本文以较简捷的方法讨论了气体分子速率问题，给出了计算分子最大速率的理论公式，通过这些讨论可更加深入地理解气体中分子的运动情况，准确地理解麦克斯韦速率分布函数。     

B值随机变量阵列加权和的完全收敛性

设{X_ni:1≤i≤n,n≥1}为行间独立的B值r.v.阵列,g(z)是指数为1/p的正则变化函数,r>0,{ani 1≤t≤n,n≥1}为实数阵列,本文得到了使(?)成立的条件,推广并改进了Stout及Sung等的著名结论.     

On the 2k-th Power Mean of Inversion of L-functions with the Weight of the Gauss Sum

The main purpose of this paper is to use the estimate for character sums and the method of trigonometric sums to study the 2k-th power mean of the inversion of Dirichlet L-functions with the weight of the Gauss sums，and give a sharper asymptotic formula．