Estimation of parameters in the discrete distributions of order k

This paper considers estimating parameters in the discrete distributions of order k such as the binomial, the geometric, the Poisson and the logarithmic series distributions of order k. It is discussed how to calculate maximum likelihood estimates of parameters of the distributions based on independent observations. Further, asymptotic properties of estimators by the method of moments are investigated. In some cases, it is found that the values of asymptotic efficiency of the moment estimators are surprisingly close to one.     

右半平面上解析的Laplace-Stieltjes变换对数级

本文研究了零级Laplace-Stieltjes变换的增长性问题.利用对数级和对数下级的定义,获得了这类变换具有对数级的特征,即变换的对数级和对数下级与其系数之间的关系,推广了Dirichlet级数的相关结果.     

我国海运出口贸易碳排放影响因素的对数指数分解研究

对2005-2013年我国的碳排放进行了对数指数分解,得出海运出口贸易规模、能源效率、能源结构、碳排放强度是构成碳排放的四个因素,其中海运出口规模和碳排放强度是碳排放的正向拉动关系,能源结构和能源效率是碳排放的负向抑制关系.运用协整检验证明四个因素与碳排放之间具有长期稳定的关系,运用Granger因果检验证明海运出口贸易规模、能源结构、能源效率是碳排放的Granger原因.在此基础上,提出减少海运业碳排放的政策建议.     

对算术-几何不等式的两种推广与改进

将关于一组正数的加权算术-几何不等式推广为关于两组正数的改进型加权算术-几何不等式,其思路可为部分已有结论提供新的证明方法.突破关于自然对数的加权算术-几何不等式对具体函数的依赖,给出并证明了关于对数凸函数的加权算术-几何不等式.     

Estimates of Entire Functions of Exponential Type Less than π in Terms of Logarithmic Sums over Real Duffin and Schaeffer Sequences

We give uniform estimates of entire functions of exponential type less than having sufficiently small logarithmic sums over real sequences { _n } satisfying | _n –n|L and _n+1– _n for fixed positive constants L and . We thereby generalize results about logarithmic sums over the set of integers and so-called relatively h-dense sequences.     

螺旋槽干气密封微尺度流动场的近似计算及其参数优化

应用PH线性化方法、迭代法,近似求解了螺旋槽内稳态微尺度流动场的非线性雷诺方程,求得了气体动压和速度分布的解析解.继而利用多目标优化方法构建了气膜刚度与泄漏量之比的协调函数,并对该目标函数进行了近似求解,获得了最佳的螺旋槽几何参数值.     

Motion of spiral tip driven by local forcing in excitable media

We study the motion of a spiral wave controlled by a local periodic forcing imposed on a region around the spiral tip in an excitable medium. Three types of trajectories of spiral tip are observed： the epicycloid-like meandering, the resonant drift, and the hypocycloid-like meandering. The frequency of the spiral is sensitive to the local periodic forcing. The dependency of spiral frequency on the amplitude and size of local periodic forcing are presented. In addition, we show how the drift speed and direction are adjusted by the amplitude and phase of local periodic forcing, which is consistent with a theoretical analysis based on the weak deformation approximation.     

摆动液压缸圆环螺旋流的流动及内泄漏研究

考虑液压油的黏度随温度与压强的变化, 以连续性方程、N-S方程、能量方程为基础,推导出螺旋摆动液压缸内部圆环螺旋流的速度方程及泄漏量方程. 运用大型通用CFD仿真软件fluent对螺旋摆动液压缸内部的圆环螺旋流流场及泄漏规律进行数值仿真. 对螺旋摆动液压缸内螺旋流动的理论计算与仿真结果进行对比分析, 结果表明理论推导正确, 从而为螺旋摆动缸内泄漏及容积耗损提供理论依据.     

旋流阻塞与旋流扩散复合内消能泄洪洞的壁面压强特性

结合雅砻江两河口水电站3#导流洞改建的水工模型试验,研究了新型旋流阻塞和旋流扩散复合内消能泄洪洞的壁面压强特性。研究结果表明:在淹没堰流流态时,壁面压强在进口的堰面、竖井段和旋流洞段因阻塞的顶托作用整体增大;在起旋器出口下游侧的旋流洞的顶部仍然存在局部范围的低压区或负压区;在旋流阻塞段,流速增大,壁面压强减小,水流空化数降低;在旋流扩散段,壁面压强略大于或小于大气压。     

The Index of Vector Fields and Logarithmic Differential Forms

We introduce the notion of logarithmic index of a vector field on a hypersurface and prove that the homological index can be expressed via the logarithmic index. Then both invariants are described in terms of logarithmic differential forms for Saito free divisors, which are hypersurfaces with nonisolated singularities, and all contracting homology groups of the complex of regular holomorphic forms on such a hypersurface are computed. In conclusion, we consider the case of normal hypersurfaces, including the case of an isolated singularity, and describe the contracting homology of the complex of regular meromorphic forms with the help of the residue of logarithmic forms.