Convolution, Kernels & Filters: A Beginner’s Guide to Edge Detection
Convolution kernels explained. Learn edge detection for images using filters and the Sobel operator. Essential computer vision concepts with Python.
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22/7 and the Approximation of Irrational Numbers
Unlock the math behind 22/7! Learn how continued fractions generate increasingly accurate rational approximations for irrational numbers like pi
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Formal Grammars – The Hidden Mathematics of Language
Explore the math behind language. Learn how formal grammars shape speech, code, NLP, and the rules machines use to understand us.
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Higher Mathematics: Sets and Notation
Master set theory: definitions, notation, set operations (union, intersection), and common sets. Essential concepts for higher mathematics.
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Mountains, Cliffs, and Caves: A Comprehensive Guide to Using Perlin Noise for Procedural Generation
Perlin noise for procedural generation. Learn to create realistic mountains, cliffs, and caves with parameters like persistence, lacunarity, and Fractal Brownian Motion.
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From Love to Logic: How Algorithms Decide Our Matches
Explore the Gale-Shapley Algorithm and the Stable Matching Problem. Learn how algorithms create stable pairings, not just perfect matches.
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The Impossible Bridges of Königsberg
Learn how to find an Eulerian Path using Graph Theory and the degree of a vertex. Discover the solution to the Bridges of Königsberg puzzle.
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Turing’s Turochamp: The Birth of AI in Games
Discover Turing’s Turochamp, Learn about Alan Turing’s foundational paper-and-pencil chess algorithm and the birth of AI in games.
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The Hunt For Prime Numbers
Explore prime number math: shortcuts, primality tests, Mersenne numbers, and the Lucas-Lehmer Test for finding the largest primes.
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Flowers, Staircases, and The Golden Ratio
Explore the Fibonacci sequence, Golden Ratio (φ), and their appearance in nature, from flowers to the staircase problem in math.
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What if an Infinite Number of Spaceships Arrive at Hilbert’s Hotel?
Explore Hilbert’s Hotel Paradox and transfinite numbers. Learn how to accommodate infinite guests, buses, and spaceships using infinity math.
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Proof by Induction (Ft. The Tower of Hanoi)
Learn the Tower of Hanoi Proof using Proof by Induction. Discover the minimum moves required for this classic combinatorics puzzle.
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Surviving the First Year of Your Math Degree
Essential tips for math degree survival at university. Master notation, proofs, and the shift from high school to degree-level mathematics.
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Python Chess: Game Simulation and Illegal Moves
Part 3 of building a Python Chess Engine. Implement the move function for game simulation, encode move types, and filter out illegal moves.
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Python Chess: Efficient Move Generation Using Bitwise Operations
Python chess engine development. Use bitboards and bitwise operations for efficient move generation for sliding and non-sliding pieces.
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Image Segmentation With K-Means Clustering
Learn K-Means Clustering for Image Segmentation in Python. Achieve color reduction and optimized performance using NumPy
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1-Hot Encoding: The Chess Programmer’s Secret Weapon
Maximize chess engine speed with Python Bitboards. Use 1-Hot Encoding and bitwise operations to create an efficient board data structure.
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Solving the Travelling Salesman Problem Using a Genetic Algorithm
Solve the Travelling Salesman Problem with a Genetic Algorithm. Learn selection, crossover, and mutation steps to find a near-optimal route.
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Why We Can’t (Completely) Solve The Travelling Salesman Problem
The TSP is NP-Hard due to exponential complexity. Understand the time-accuracy trade-off in finding optimal vs. approximate routes.
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Genetic Algorithms: Machine Learning with Darwinian Evolution
The Genetic Algorithm uses Darwinian Evolution for machine learning. Learn selection, crossover, and mutation for efficient optimization.
