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Notes on formulas & problem solving

Worked walkthroughs, common mistakes, and the history behind the equations we reference every day.

Inside the OpenAI bugging case involving a Saudi engineer
AI, NewsOct 15, 2026

OpenAI Bugging Case: Inside the Arrest of a Saudi Engineer

A Saudi engineer at OpenAI was arrested over a hidden recording device found in an executive conference room. A sourced breakdown of the allegations, the charge, and what remains unknown.

27 min readRead article →
Black Holes: From A to Z – Formation, Types, Physics and Discovery | Vorzep
Astrophysics · Gravity · CosmologyOct 14, 2026

Black Holes: From A to Z

What they are, how they form, how humanity came to discover them, and what we still do not know.

21 min readRead article →
Why Ohm's Law breaks down in AC circuits
ElectricalJul 2, 2026

Why Ohm's Law breaks down in AC circuits (and what replaces it)

A closer look at impedance, reactance, and where the simple V=IR model stops being enough.

V = I · Z
6 min readRead article →
Computer ScienceJun 28, 2026

Big-O in five minutes: reading time complexity like an engineer

A practical guide to spotting O(n), O(log n), and O(n²) in real code before you profile it.

O(n log n)
6 min readRead article →
MechanicalJun 21, 2026

Statics vs dynamics: the mistake most students make first

Why forgetting acceleration terms is the single most common statics-exam error — with two worked fixes.

ΣF = ma
5 min readRead article →
CivilJun 14, 2026

Reading a beam bending-stress diagram at a glance

A visual method for estimating maximum stress before you touch a calculator.

σ = M·y / I
6 min readRead article →
ChemicalJun 6, 2026

Rate laws, explained without the jargon

How reaction order actually changes the shape of a concentration-vs-time curve.

r = k[A]ⁿ
5 min readRead article →
PhysicsMay 30, 2026

Kinetic vs potential energy: a five-formula refresher

The core energy equations every discipline eventually borrows from physics.

KE = ½mv²
5 min readRead article →