Given all the inaugural addresses of American presidents, what are the readability stats? What is the sentiment over time? As usual I reach for perl to acquire and format the data for exploration with R. The code below reads and analyzes a collection of text documents. It then prints out the results found in a […]

## Inspecting the English Premier League Player Stats with R

Being a soccer person and programmer, I wanted to inspect player statistics for myself. I finally found this excellent site for many leagues and primarily with player stats: whoscored.com. So, seeing that there was no download link, I determined to tediously copy/paste all the records for each player, for defensive, offensive, passing and summary categories, […]

## The Density Plot of the Prime Gaps is a Fractal

tl;dr: Inspect the last image below and check out gap-density.R. I just discovered something that made me smile: As I looked at the density plots of increasing numbers of prime gaps, a fractal emerged. Allow me to explain. First I get the prime gaps (basically, the distance between primes) with this perl code:

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#!/usr/bin/env perl # gaps-simple: Print the gaps between primes use strict; use warnings; use Math::Prime::XS qw(primes); my $limit = shift || 100; my @primes = primes($limit); my $n = 0; while ( $n < @primes - 1 ) { my $prime = $primes[$n]; my $greater = $primes[ $n + 1 ]; my $gap = $greater - $prime; print "$gap\n"; $n++; } |

This […]

## Alternatives to the Logistic Equation

tl;dr: bifurcation.R Yesterday, I decided to plot the bifurcation diagram of the logistic equation. This is a famous plot from the 70s, that many geeks will be familiar with (left). It shows that simple systems can switch into “chaos mode” and begin to bifurcate wildly. To produce the graph, we use code in the R […]

## Musical Random Walks Over Weighted Graphs

tl;dr: https://github.com/ology/Music/blob/master/random-walk In this post, I illustrate a simple technique in Perl 5 to perform random walks over (node-edge) graphs, adding the named, “semantic” vertices to a MIDI score. The image on the left is not generated by the random-walk program, but is just a related illustration. :-) OK – on with the code! First, there […]

## Plotting Successive Primes Modulo A Number

tl;dr: https://github.com/ology/Math/blob/master/primes/sequence-pairs File this under Recreational mathematics… I have this passionate curiosity for seeing the primes “folded in on themselves” – constrained to a phase space. I also have a burning desire to visualize successive events. I suppose that I am searching for “strange attractors”, as with the famous water drip […]

## Visualize Move, Protection and Threat Status in Chess

tl;dr: https://github.com/ology/Chess-Inspector When I was a kid, my younger brother became a chess master and would regularly thrash me in the game. Invariably this seemed to be because I would do something dumb like leaving my queen threatened and unattended. As with many budding CS students, I devised my own chess playing program, but in […]

## Artificial Psychologist

tl;dr: https://watson-pi-demo.mybluemix.net/ A new psychologist is in town and his name is Watson. Watson’s above site just contains a text area and an Analyze button. The instructions say to paste in something you have written. Being a curious cat, I had fun pasting-in famous quotes and passages from books, like Alice in Wonderland, etc. It was interesting to speculate […]

## Visualizing Chatter on a Polar Plot

What does IRC chatter look like on a polar plot, with lines linking the conversations?

## Successive Old Faithful Eruption Durations

Because of the observed data, a four group clustering emerges when you plot successive eruption durations, of the famous geyser. That is, the x axis is the first eruption and y is the next.