Graph Theory à la Frank Harary
A biographical look at the life and mathematics of Frank Harary, the Founding Father of Graph Theory.
top of page
Jonathan
- Jul 2, 2023
Image Processing Algorithms with OpenCV 3
We implement an Auto-Palette-Simplification algorithm, A Voronoi Cell algorithm, and A Color Sieve algorithm on images in OpenCV-Python.
37 views0 comments
Jonathan
- Jul 1, 2023
Image Processing Algorithms with OpenCV 2
We discuss the importance of (Im)Mutable Objects in Python and implement an algorithm we call Palette-Simplification of images using OpenCV.
34 views0 comments
Jonathan
- Jun 29, 2023
Image Processing Algorithms with OpenCV
We make a few Image Processing algorithms with OpenCV: Pixelate, Cutoffs, Brighten/Darken, Blending, RGB channels, and Recursive Algorithms.
58 views0 comments
Jonathan
- Jun 28, 2023
Knot Diagram Image Processing with OpenCV
We use OpenCV-Python on Knot Diagrams to learn about Image Processing, adding blur and various coloring algorithms to the knot diagrams.
24 views0 comments
Jonathan
- Jun 26, 2023
Making a Graph Class in Python 3 - More GUI
We add a lot of functionality to the GUI - Adding/Removing vertices and edges, returning graph info, and returning some graph matrices.
30 views0 comments
Jonathan
- Jun 26, 2023
Making a Graph Class in Python 2 - GUI
We add some preset graphs and matrices to our Graph Class in Python and implement an "add_vertex" button with user-typed input in the GUI.
89 views0 comments
Jonathan
- Jun 25, 2023
Making a Graph Class in Python
We create a Graph Class in Python to work with mathematical graphs. Then we create an interactive display using Pygame to visualize them.
55 views0 comments
Jonathan
- Jun 22, 2023
Posets and Python 3 - Critical Group Diversion
We implement methods to work with maximal chains into our Poset class in Python and get majorly distracted by Critical Groups of Graphs!
37 views0 comments
Jonathan
- Jun 12, 2023
Posets and Python 2 - Depth-First Search
We implement the Depth-First Search algorithm in Python to retrieve the set of maximal chains of the Poset class we created in the last post
29 views0 comments
Jonathan
- Jun 5, 2023
Posets and Python
This is an exploration of Dunder Methods and how they can be used to create abstract posets like the divisibility or p-adic posets in Python
117 views0 comments
Jonathan
- Nov 21, 2021
Fun with the Dot Product (Math = Patterns)
Imagine this. You have a terribly strong desire to learn as much math as you can. You know that people do research in math, whatever that...
29 views0 comments
Jonathan
- Nov 15, 2021
The Integral of Csc(θ)
What is the integral of cscθ? Usually this is done by telling you to multiply by blah/blah where blah is some expression that comes...
30 views0 comments
Jonathan
- Oct 13, 2021
The Arithmetic Derivative (Part 3)
Let us count The nice thing about the arithmetic derivative is that it takes a natural number to another natural number. This leads to...
17 views0 comments
Jonathan
- Oct 12, 2021
The Arithmetic Derivative (Part 2)
Our first pattern So we've taken the usual rules for differentiation and applied them to natural numbers: D(ab) = aD(b) + D(a)b with...
55 views0 comments
Jonathan
- Oct 9, 2021
The Arithmetic Derivative (Part 1)
An introduction If you've done calculus, then you've talked about differentiation. We usually talk about this in terms of "linear...
52 views0 comments
bottom of page