10 Ideas to Make WordPress Blogs SEO Friendly
WordPress is SEO-friendly out of the box, but 'friendly' isn't enough to rank. I share ten specific ideas to make your WordPress blog genuinely competitive in search results. From permalink…
How to change Differential Equations into Integral Equations?
Every differential equation can be converted into an integral equation. Just integrate it. Sounds too simple, right? The details matter though. I walk through the conversion process step by step,…
How students’ brains like to be treated during an exam revision
Your brain needs specific treatment during exam revision, and most students get it wrong. I explain how memory formation works, why cramming fails, and what neuroscience says about effective study…
Square Integrable Functions, Norms, Trial Method in Integral Equations
Building on integral equation fundamentals, this article covers square integrable functions, norms, and the trial method for solving integral equations. I explain L2 spaces, why they matter for integral equation…
10 Most Dangerous Railroads in the World
Traveling by train is usually enjoyable, but some rail routes are genuinely terrifying. I've documented ten of the world's most dangerous railroads, from cliff-hugging mountain passes to tracks built on…
Definitions and Types of Integral Equations
Integral equations look intimidating, but they're built from ideas you already know. I explain what integral equations are, their classification system (Fredholm vs Volterra, first vs second kind), and how…
Examination Strategies : Tactics & Tips
Exam preparation isn't just about studying harder. It's about studying smarter. I cover practical strategies for managing your nervous system, timing your revision, structuring your answers, and maintaining physical health…
Complete Elementary Analysis of Ramanujan’s Nested radicals
I wrote this analysis in 2010 at age 17, obsessed with Ramanujan's nested radicals while studying under the INSPIRE-SHE scholarship. Fifteen years later, the mathematics still holds up. This complete…
Hopalong Orbits Visualizer: Stunning WebGL Experiment
Barry Martin's Hopalong Orbits Visualizer is a stunning WebGL experiment that renders abstract mathematical art in 3D. Using the Hopalong Attractor algorithm and three.js, it transforms simple equations into mesmerizing…
Real Sequences: Definitions, Theorems, and Examples
Real sequences form the backbone of real analysis and advanced calculus. I've taught this topic to dozens of students, and the key is grasping what sequences represent: ordered lists of…
Tunnel through the Earth
Drop a ball through a tunnel drilled straight through Earth. It won't fall forever. It'll oscillate back and forth, popping out on the other side in exactly 42 minutes. Every…
Euler’s (Prime to) Prime Generating Equation
Euler discovered a simple formula that generates 40 consecutive prime numbers: n squared plus n plus 41. Plug in 0 through 39 and every output is prime. I explore why…