Collatz Conjecture
A famous unsolved problem in number theory that states any positive integer will eventually reach 1 when you repeatedly apply two simple arithmetic operations.
Category: Mathematics
Conway’s Game of Life
Cellular automata are discrete, abstract computational systems that have proved highly effective in modeling complex systems.
The Monty Hall Problem: A Mathematical Paradox
The problem is deceptively simple yet counterintuitive, making it a classic example of how human intuition can sometimes conflict with mathematical reasoning.
Efficient Matrix Multiplication: A Hybrid Approach Combining Strassen’s and Traditional Methods
Hybrid approach uses the traditional method for smaller matrices and switches to Strassen’s algorithm when the matrix size exceeds a threshold.
Comparing Naive and Strassen’s Matrix Multiplication Algorithms
Strassen’s algorithm reduces computational complexity but adds complexity to implementation and memory usage.
Bayes’ Theorem: Probability and Statistics
Bayesian inference is central to probabilistic models and algorithms like Naive Bayes classifiers, which are widely used in machine learning.
Understanding the Pigeonhole Principle with Python
The Pigeonhole principle is a useful tool that can be applied in various scenarios. Applying this principle, one can perform data integrity checks and make statistical predictions.
Understanding Linearity of Expectation
Linearity of expectation is a powerful concept in probability theory that simplifies the calculation of expected values in probabilistic experiments.
Stable Marriage Problem Solution
Stable Marriage Problem is a problem in computer science of finding a stable matching between two equally sized sets based on preferences.
Solving the Fractional Knapsack Problem
While the 0/1 Knapsack problem restricts you to take an item entirely, Fractional Knapsack problem allows you to take fractions of an item.