SAM, the 'other' SED from the 80s

Prerequisites This article will reference SED syntax that is described here: sed This was also vastly ispired by this comment (user: piekvorst)…

Understanding R Shiny Reactivity Through the Lens of a Dependency Graph

A deep dive into how Shiny's reactive engine works — using a real-world analytics dashboard as our guide. The code used by…

How Modern Browsers Render the Web: A Deep Technical Journey

From HTML bytes to GPU pixels — the complete architecture of a modern browser rendering engine. Introduction: The Browser as a Game…

From Backtracking to Factorial Coordinates: Understanding Permutations Deeply

Most developers learn permutation generation through recursion and swapping. It works, it's elegant… but it often feels a bit magical. This article…

Binary Operations: AND, OR, XOR, NOR — and Their Deep Relationships

Binary operations are the foundation of computation. At the lowest level, everything reduces to simple operations on bits: true (1) and false…

Java Deep Dive: Architecture, Memory, OOP & Modern Features

A comprehensive technical reference — from JVM internals to streams, lambdas, and the philosophy behind Java's design choices. Table of Contents Introduction…

OpenTelemetry in Go, finally explained: traces, metrics, logs, propagation & middleware

I spent the day digging into OpenTelemetry in Go and, honestly, a lot of things that look magical at first finally clicked.…

A Structured, Visual Algorithm for Determinants up to 5×5

1. Introduction Determinants are fundamental objects in linear algebra, yet direct computation beyond 3×3 can be tedious. This article presents a structured,…

Reimplementing Cross-Validation for KNN in R (from Scratch)

Introduction After reimplementing K-Nearest Neighbors (KNN) from scratch, I wanted to take things a step further: build a cross-validation system entirely in…

Reimplementing K-Nearest Neighbors (KNN) from Scratch in R

As part of my exploration of machine learning fundamentals, I decided to reimplement classic algorithms from scratch instead of relying directly on…

Optimizing the Exponential Function in Cherubin

Cherubin is my C++ library for computing very large numbers represented as strings. One of the hardest functions to implement efficiently in…

Reimplementing the Cauchy Distribution in Fulgurance (C++ Statistics Library)

Introduction Fulgurance is my C++ statistics library where I reimplemented several probability distributions from scratch, including the Cauchy distribution. The goal of…

Cheating a Bit: Approximating atan, arccos, and arcsin in the Cherubin Library

Introduction This project is part of my Cherubin library — a C++ library for computing very large numbers represented as strings. Because…

Emulating Binary-Level Operations and Number Representations

At the heart of every computer lies a simple truth: everything is binary. Whether you are working with integers, floating-point numbers, or…

Unsolved problem !!!

FormalismConversion (Haskell) Statement and motivation (inspired from pb.93 of 99 Problems in Haskell) This problem originates from the motivation to find all…