Graph Theory à la Frank Harary
A biographical look at the life and mathematics of Frank Harary, the Founding Father of Graph Theory.
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Jonathan
- Jul 5, 2023
Interactive Voronoi Diagram Maker in Pygame
We implement the Voronoi Diagram algorithm into Pygame so that it updates its Voronoi Cells as we add defining points.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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!
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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
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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
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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...
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Jonathan
- Nov 15, 2021
Rectangles in Polar Coordinates
Circles in rectangular coordinates...Rectangles in polar coordinates? This is a bit of a goofy one. Why? Well, I want to figure out...
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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...
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Jonathan
- Nov 5, 2021
Learning Pygame with Catan (Part 1)
An Intro to Catan Who else here used to play Settlers of Catan as a kid? The first memory I have with the game is happily placing roads...
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Jonathan
- Oct 17, 2021
The Arithmetic Derivative (Part 4)
What do the differential equations mean? Usually, we are motivated to study differential equations by situations in everyday life,...
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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...
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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...
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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...
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