arXiv subjects

Devlin Gualtieri

Publications and source records attributed to Devlin Gualtieri.

4 recordsLinked to original sources

arXiv2024

Buffon's Triangle -- A Variant of the Buffon Needle Method for a Probabilistic Determination of the Value of Pi

I present a variant of the Buffon Needle method for determination of the value of the mathematical constant, pi. The original method is based on the random casting of a needle of length l onto a planked floor of plank width L. The described variant involves the random casting of an equilateral triangle with side length l onto a tiled floor consisting of square tiles of side width L. Source code for the computer simulation of this method is provided.

math.HO↗

arXiv2022

Frictional Authors

I present a method for text analysis based on an analogy with the dynamic friction of sliding surfaces. One surface is an array of points with a 'friction coefficient' derived from the distribution frequency of a text's alphabetic characters. The other surface is a test patch having points with this friction coefficient equal to a median value. Examples are presented from an analysis of a broad range of public domain texts, and comparison is made to the Flesch Reading Ease. Source code for the analysis program is provided.

cs.CL↗

arXiv2021

One-Time Pads from the Digits of Pi

I present a method for generating one-time pads from the digits of pi. Computer code is given to generate such pads from passphrases in a method having an extremely low probability (<10^-53) of a successful discovery of the one-time pads by a brute-force attack. The advantages and disadvantages of this method are discussed.

cs.OH↗

arXiv2020

A Pneumatic Chaotic Pendulum

I present a chaotic pendulum based on the repulsive force between a random array of point sources of air flow and the conical tip of a rigid pendulum. Source code is provided for generation of random aperture arrays. The chaotic motion was analyzed using machine vision techniques. A computer simulation of this system is also presented, as are the results of some example simulations.

physics.class-ph↗