Maths

Fuzzy Logic

Introduction Fuzzy logic, a captivating branch of artificial intelligence, is gaining prominence for its ability to handle uncertainty and imprecision in decision-making. In this blog post, we’ll explore the fundamentals of fuzzy logic, its applications, and how it’s revolutionizing various industries. What is Fuzzy Logic? Fuzzy logic is a mathematical...

Comparison of Optimisation Methods for The Knapsack Problem: Steepest Ascent Hill Climbing vs. Simulated Annealing

I have published my paper “Comparison of Optimisation Methods for The Knapsack Problem: Steepest Ascent Hill Climbing vs. Simulated Annealing” on ResearchGate. The paper explores the application of optimization algorithms, specifically Hill Climbing and Simulated Annealing, to solve the knapsack problem. The knapsack problem is a well-known combinatorial optimization problem...

Exploring AI Optimizers: Enhancing Model Performance and Efficiency

Introduction Artificial Intelligence (AI) optimizers play a crucial role in training and fine-tuning machine learning models. These optimization algorithms are designed to improve model performance, enhance convergence, and efficiently use computational resources. In this article, we will delve into the world of AI optimizers, exploring their importance, popular types, and...

Matrix Factorization

Matrix factorization is an essential technique in linear algebra, which involves decomposing a given matrix into the product of two or more matrices. This technique has numerous applications across various fields, including data analysis, signal processing, machine learning, and computer graphics. Matrix factorization can be understood as a process of...

Useful Books on Mathematics

I would like to share a list of valuable mathematics books that I found helpful, hoping that someone else may also find them useful. 📚 • “The Princeton Companion to Mathematics” by Timothy Gowers: This book is a comprehensive reference guide to mathematics, covering a wide range of topics from...

Taylor’s Series Theorem

Taylor’s series theorem is a powerful mathematical tool that allows us to represent many different functions as an infinite sum of simpler functions. This theorem has many practical applications in science, engineering, and finance, among other fields. The theorem is named after the British mathematician Brook Taylor, who first discovered...

What is Linear Algebra?

Linear algebra is a branch of mathematics that deals with linear equations, linear transformations, and vector spaces. It plays an important role in various fields, including physics, engineering, computer science, and economics. At its core, linear algebra studies the properties of linear equations and linear systems of equations, which are...