Mathematics on AI VOID

Chapter 1: The AI/ML Landscape & Foundational Math

Sat, 17 Jan 2026 00:00:00 +0000

Introduction: Charting Your Course in AI/ML

Welcome, future AI/ML engineer or researcher! You’re about to embark on an exciting and incredibly rewarding journey into the world of Artificial Intelligence and Machine Learning. This field is dynamic, constantly evolving, and at the forefront of technological innovation. It might seem daunting at first, with new terms, complex algorithms, and endless possibilities. But don’t worry, we’re going to break it down into the smallest, most manageable “baby steps.”

Chapter 8: Vector Distance Metrics and Their Impact

Tue, 17 Feb 2026 00:00:00 +0000

Introduction: The Art of Measuring Closeness

Welcome to Chapter 8! In our journey with USearch and ScyllaDB, we’ve learned how to transform data into numerical vectors and store them for lightning-fast searches. But what exactly does “search for similar vectors” truly mean? How do we define “similarity” in a world of numbers?

The answer lies in vector distance metrics. Just like you might measure the distance between two cities on a map, we need a way to quantify how “far apart” or “close together” two vectors are in their multi-dimensional space. The choice of metric is paramount, as it directly impacts the relevance and accuracy of your search results. A “similar” item according to one metric might be quite different according to another!

Calculus: The ONLY Way to Know How Fast Your Van's Going (Seriously!)

Mon, 26 Jan 2026 00:00:00 +0000

“Alright, Harry, I got it! We just gotta, like, divide the road by how much time we’re driving! That’s speed!”

“No, Lloyd, that’s average speed. What if we wanna know how fast we’re going right now? What if we’re trying to outrun a giant owl, and we need that exact moment speed?”

“Uh… look at the speedometer?”

“But what if the speedometer is broken, Harry? What if it’s, like, conceptually broken? What if we’re measuring something that doesn’t have a speedometer? Like, how fast my love for Mary Swanson is growing?”