On partly gentle perturbations. I

Bayes and I: A Gentle Introduction to the Bayesian Approach

Yet, behind the scenes, a very strong assumption—or belief— resides: that there is a fixed single population parameter. In this case, the mean value of weights for teenagers in the city is a single value. Therefore, without a serious flaw in the sampling process, the parameter is constant, though unknown, across all possible samples [2]. However, what if the parameter is not fixed but rather ha...

Turbulent Pressure and Velocity Perturbations Induced by Gentle Hills Covered with Sparse and Dense Canopies

How the spatial perturbations of the first and second moments of the velocity and pressure fields differ for flow over a train of gentle hills covered by either sparse or dense vegetation is explored using large-eddy simulation (LES). Two simulations are investigated where the canopy is composed of uniformly arrayed rods each with a height that is comparable to the hill height. In the first sim...

Genetic Algorithms and Walsh Functions: Part I, A Gentle Introduction

This paper investigates the application of Walsh functions to the analysis of genetic algorithms operating on different codingfunct ion combinations. Although these analysis tools have been in existence for some time, they have not been widely used. To promote their understanding and use, this paper introduces Bethke's Walshschema transform through the Walsh polynomials. This form of the method...

On Hamiltonian Perturbations of Hyperbolic Systems of Conservation Laws I: Quasi-Triviality of Bi-Hamiltonian Perturbations

We study the general structure of formal perturbative solutions to the Hamiltonian perturbations of spatially one-dimensional systems of hyperbolic PDEs vt + [φ(v)]x = 0. Under certain genericity assumptions it is proved that any bi-Hamiltonian perturbation can be eliminated in all orders of the perturbative expansion by a change of coordinates on the infinite jet space depending rationally on ...

On Partly Ordered Fields