In 2016, two mathematicians, Kannan Soundararajan and Robert Lemke Oliver found that the prime numbers do not occur at random when looking at the final digits of subsequent primes. For instance, a prime ending in 9 is more likely to be followed by a prime ending in 1, than any other digits (1, 3, 7 […]

## Visualization of Led Zeppelin Lyrics with R

What can be known about Led Zeppelin lyrics from the standpoint of a computer geek? First, I collected and properly named every song with lyrics, with the power of perl and persistence. Then I found/crafted some R code to process these into a few graphics.

## Weighted Graph “Music”

Code: synch-weighted-randomized This piece was constructed in 4-bar increments by running the above code and importing the generated phrases (MIDI file) into my DAW (Apple Logic). I then gave the patterns “better” patches, used layers and added a drum track for continuity. The code uses randomly generated weighted graphs to build up a melody […]

## Syuzhet Sentiment of Sacred Texts

These graphs show the “emotional valence” or sentiment over narrative time percent. That is, they chart the positive and negative valued sentences from beginning to end. A positive valued sentence would be, “I feel good.” A negative one of equal value would be, “I feel bad.” A neutral sentence would be, “I feel okay.” If […]

## Visualizing Vocalization with R

One day I decided that I wanted to have the ability to see a frequency x time “amplitude density” plot of sound – specifically dolphin and bird voices. So the first task was to locate some sounds! Preferably these should be free from all other sounds, including those from the ambient environment – splashing, microphone […]

## Inspecting American Inaugural Addresses with Perl and R

Given all the inaugural addresses of American presidents, what are the readability stats? What is the sentiment over time? UPDATE: Results charted for 2017 As usual I reach for perl to acquire and format the data for exploration with R. The code below (and available on github) reads and analyzes a collection of text documents. […]

## 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

As you look at the density plots of increasing numbers of prime gaps (the distance between subsequent primes), a fractal emerges.

## 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 […]