Brief Historical Introduction to Laplace Transform The Laplace Transform is a cornerstone of mathematical physics and engineering, with deep historical roots dating back to the 18th century. Named after Pierre-Simon Laplace (1749–1827), a French mathematician and astronomer, this transformative tool emerged as part of his work on probability and celestial mechanics. Read: Introduction to Tensor…
Introduction to KV Caching When large language models (LLMs) generate text autoregressively, they perform redundant computations by reprocessing the same tokens repeatedly. Key-Value (KV) Caching solves this by storing intermediate attention states, dramatically improving inference speed – often by 5x or more in practice. In this comprehensive guide, we’ll: Explain the transformer attention bottleneck Implement KV caching from scratch…
Retrieval Augmented Generation (RAG) is a technique for augmenting Large Language Model (LLM) knowledge with additional data. In a standard Gen-AI application using LLM as its sole knowledge source, the model generates responses solely based on the input from the user query and the knowledge it has been trained on. It does not actively retrieve…
Android development is one of the most exciting fields in tech today. With billions of Android devices in use globally, becoming an Android developer opens the door to endless opportunities — from building innovative apps to launching your own software business. But what exactly should you know to succeed in this field? In this blog,…
Artificial Neural Networks (ANNs) are one of the most important advancements in the field of machine learning, inspired by the biological neural networks in the human brain.
OpenAI has officially launched it’s flagship model-GPT 5, its latest flagship model, making it available to all ChatGPT users and developers. During the launch, CEO Sam Altman described the release as a “dramatic leap” – comparing it to the shift to a Retina display, something users would never want to go back from. “We are…
Numerical Analysis is the study of algorithms for solving mathematical problems involving continuous variables. It differs from discrete mathematics and focuses on deriving and analyzing methods to obtain numerical solutions.
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.
If you’ve always wanted to build an Android app but had no idea where to start, this guide is for you. In this beginner-friendly tutorial, we’ll walk you through the process of building your very first Android app using Kotlin, the modern language officially supported by Google for Android development. Video by Annyce Visit her…
The Drama of the Cubic Equation: Rivalries, Betrayals, and Renaissance Mathematics The 16th century was a time of mathematical duels, secret solutions, and bitter rivalries. The quest to solve the cubic equation wasn’t just about algebra—it was about fame, survival, and revenge. 1. Tartaglia: The Stuttering Genius Who Outsmarted His Rivals Niccolò Tartaglia (1500–1557) was…
