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Here’s a concept that confused me for months in statistical physics: the difference between macrostates and microstates. Textbooks make it sound complicated. It’s not. Once you see a concrete example,…
If you are starting a blog then WordPress can be an exciting platform because it’s free, user-friendly and has a variety of plugins that give you many options. It is…
This post explains the basic method of converting an integral equation into a corresponding differential equation.
If you’re a 16-year-old student preparing for any exam, you must know one thing – your brain needs special treatment. We have the power to understand so many things about…
In this article, I will teach you about Square Integrable Functions, Norms and the solution of Integral Equations by the trial method. Don’t forget to refer: Definitions and Types of…
It is so fun and enjoyable to travel through rail routes. Most people love to travel by rails instead of preferring to travel by car. Traveling by rail is a…
In this article, I will explain what Integral Equations are, how they are structured and what are certain types of Integral Equations. What is an Integral Equation? An integral equation…
Every student or graduate knows how hard the first experience of passing exams is. Preliminary preparation starves the nervous system and the physical condition of the human body, however, the…
I wrote this project in 2010. I was 17 years old, studying mathematics sponsored by the INSPIRE-SHE scholarship program, and completely obsessed with a dead Indian mathematician who’d changed the…
I just discovered Barry Martin’s Hopalong Orbits Visualizer — an excellent abstract visualization, which is rendered in 3D using Hopalong Attractor algorithm, WebGL and Mrdoob’s three.js project. Here is a…
Real sequences form the backbone of real analysis and much of advanced calculus. I’ve taught this topic to dozens of students over the years, and I’ve found that the key…
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. Single.…
