万家寨引黄连接段7号洞进口和出口梯形堰室内率定试验

对万家寨引黄连接段7号洞进口和出口梯形堰采用不同比例尺的模型进行了室内系统试验,利用最小二乘法和系列模型延伸法进行分析判别,最终推定实际尺寸超过规范规定的梯形量水堰的流量因数,对工程在实际运行量测中具有指导意义。     

幂级Hermite环

介绍了Hermite环的一类推广幂级Hermite环,证明了:1)HR是幂级Hermite环当且仅当R是幂级Hermite环;2)R[D,C]是幂级Hermite环当且仅当D和C都是幂级Hermite环,其中C是D的子环;3)若R[χ,σ]是幂级Hermite 环,则R也是幂级Hermite环,反之不然.     

交错群A_p的数量刻画(英文)

证明了若p≥ 5且p与p - 2 均为素数 ,则交错群Ap 可用元的阶刻画     

Functional methods for time series prediction: a nonparametric approach

The problem of prediction in time series using nonparametric functional techniques is considered. An extension of the local linear method to regression with functional explanatory variable is proposed. This forecasting method is compared with the functional Nadaraya–Watson method and with finite‐dimensional nonparametric predictors for several real‐time series. Prediction intervals based on the bootstrap and conditional distribution estimation for those nonparametric methods are also compared. Copyright © 2010 John Wiley & Sons, Ltd.     

随机Dirichlet级数表示的整函数的增长性

系统地研究了全平面上收敛的随机Dirichlet级数的增长性 .得到了类似于Dirchlet级数所表示的整函数的增长性的结果     

徐有壬的幂级数代数符号系统研究

介绍并研究徐有壬的幂级数代数符号系统的方法和特点。     

上下极限的概念在极限教学中的作用

讨论在《数学分析》课程中引入上、下极限概念的教学的意义 .指明了它对提高学生分析能力的作用     

Identification of asymmetric prediction intervals through causal forces

When causal forces are specified, the expected direction of the trend can be compared with the trend based on extrapolation. Series in which the expected trend conflicts with the extrapolated trend are called contrary series. We hypothesized that contrary series would have asymmetric forecast errors, with larger errors in the direction of the expected trend. Using annual series that contained minimal information about causality, we examined 671 contrary forecasts. As expected, most (81%) of the errors were in the direction of the causal forces. Also as expected, the asymmetries were more likely for longer forecast horizons; for six‐year‐ahead forecasts, 89% of the forecasts were in the expected direction. The asymmetries were often substantial. Contrary series should be flagged and treated separately when prediction intervals are estimated, perhaps by shifting the interval in the direction of the causal forces. Copyright © 2001 John Wiley & Sons, Ltd.     

关于Diophantine方程x~3+1=3py~2

设p是奇素数,证明了当p=108 s2+1,其中s是正整数时,方程x 3+1=3py2无正整数解(x,y).     

关于Hilbert不等式的一个改进(英文)

证明了重组数的经典Hilbert重不等式通过引入一个适当的形如π－θ／（θ＞0）的权函数可以把两个单独的和都得到改进。借助于Euler—Maclaurin求和公式得到了一个非常强的结果。