Graph Theory Ã 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

- Sep 14, 2023

Graph Theory Ã 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(Î¸)

What is the integral of cscÎ¸? 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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