Math
I enjoy studying and learning math.
Math research #
Observations on Every Third Digit of the Thue-Morse Sequence (2022) #
Here is the first math paper I wrote with Adam Hutchings about the Thue-Morse Sequence.
Before college, I was involved in two different research projects. This first was a math paper I wrote with my friends Adam and Henry.
Abstract: “We investigate some interesting properties of the sequence made up of every third term of the Thue-Morse sequence, and consider other similar sequences.”
On Logs Research (2021) #
I experimented with graphing the digit in the nth place of log calculations. Here are the results. Many more images are available on the GitHub. See On Logs Research 2 for the web viewer.
Github: https://github.com/JakeRoggenbuck/on-logs-research
On Logs Research 2 (2026) #
I made an updated version of the log fractals that is JavaScript based and hosted on this website.
You can vew the fractals page and this specific logs fractal.
Pascals Triangle #
Github: https://github.com/JakeRoggenbuck/pascals-triangle
Derivative Solver in C #
https://github.com/JakeRoggenbuck/derive
Calculate the integral of a function in C #
https://github.com/JakeRoggenbuck/integrate
Newtons method in C #
https://github.com/JakeRoggenbuck/newtons-method