The Mathematics Behind Neural Networks Detailed Derivation of Key Formulas
Neural networks are the backbone of modern artificial intelligence (AI), powering applications like image recognition, natural language processing, and autonomous vehicles,
Linear Algebra
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An Overview of Mathematics in Classical Mechanics
Classical mechanics, developed primarily through the work of Sir Isaac Newton and subsequent physicists such as Euler, Lagrange, and Hamilton, provides the foundation for understanding the motion of physical systems under the influence of forces.
A Comprehensive Guide to Vectors, Kernel, Green’s Theorem, Bulk Modulus, Gauss’s Theorem with Examples
In the study of mathematics and physics, concepts like vectors, kernel, Green’s theorem, bulk modulus, and Gauss’s theorem play vital roles in a variety of fields, ranging from fluid dynamics to material science.
Understanding the Wronskian, Eigenvalues, and Eigenvectors
In the realm of linear algebra and differential equations, Wronskian, eigenvalues, and eigenvectors play a crucial role in solving systems of linear equations, studying the behavior of differential equations, and analyzing the stability of systems. In this blog, we will dive deep into each of these concepts, provide formal definitions, and illustrate them with practical…
Complete Breakdown of Machine Learning (ML)
Machine Learning
is a vast and intricate field that requires an understanding of key concepts from mathematics, statistics, programming, and data science. Let’s go through everything step-by-step, from the fundamental maths to the essential skills required to build ML models.