The Scaling Factor in the Gaussian Distribution

This project had two goals:

1. Explaining the scaling factor 1/sqrt(2π) in the formula for the Gaussian distribution (also called "normal" distribution).

2. Experimenting with various web technologies, in particular

   • three.js and related tools for (dynamic) 3D graphics and

   • rendering (dynamic) TeX formulas in HTML

   to see whether something like Manim (see here and here) could also be built on top of web technologies.

Goal #1 actually became obsolete when 3Blue1Brown published his video series on that same topic when I was about to get my presentation completed.

But I think goal #2 was achieved. While my web-based tools still have limited functionality and would benefit from some polishing, I see no major obstacles against getting on a par with Manim.

The web-based approach has its own advantages:

• Live interaction with the slides is possible.
• Slides can be published easily for the audience to play with.