Fitting Quantiles: Doubling,HR, HQ,and HHH Distributions

Abstract

This article introduces a family of distributional shapes which is flexible in the sense that it contains skewed and symmetric laws as well as heavy-tailed and light-tailed laws. The proposed family is also practically convenient because it is easy to fit to a table of quantiles from any distribution. Inversely, for each of the distributional shapes it is trivial to compute quantiles for any desired probability, and it is possible to compute the corresponding densities.     

General axial shapes of sodium clusters

The shell correction method is applied to calculate the shapes and binding energies of Na clusters. The axial equilibrium shapes are calculated by minimizing five deformation parameters simultaneously. Strong deviations from spheroidal shapes including reflection asymmetric ones are found. The influence of cluster deformation on the separation energies and ionization potentials and on the splitting of the photo - resonance are compared with the available experimental data. The N-dependence of the cluster shape and its relation to the N- and Z-dependences of the nuclear shape is discussed.     

超声测断面形状误差分析及测试方法探讨

本文对超声波斜入射情况下存在的测距误差进行了分析，给出了数学修正的公式，并通过实验进行了验证，对测量不同形状空间的测试方法了探讨。本文的讨论对提高测试精度和选择工程测试方案有参考意义。