## Puzzle: Do the Dance!

Step 1: Finding Nemo Can you find the function that is given in the graph below? Posted Earlier! Step 2: Drawing Pictures with Functions Functions are fun. Let’s take step 1 to a new level. Imagine the smiley face. Can we, rewrite it into a couple of equations? For example, was plotted with equations, given…

## Drawing: Definition of Lebesgue Outer Measure

A cartoon to help learn the definition of Lebesgue Outer Measure.

Also discusses the power of visualization in memorization and Mind Maps, Mind Palace techniques in short.

## About a few Geometric Shapes and Brachistochrone Problem

What is a Catenary Curve? In physics and geometry, a catenary is the curve that an idealized hanging chain or cable assumes under its own weight when supported only at its ends. Catenary curves were for a long time misunderstood to be parabolas, and has a history behind this shape worth reading! (Continue reading on…

## Illustrating Simple Variation Problem

Calculus of variations is a subject where you study the extrema (maximum or minimum) of a function of functions. We know that, to find the extrema (maximum or minimum) of a “functional” of the form we first identify and substitute in Euler Equation (Or sometimes called Euler-Lagrange Equation) to obtain a Ordinary Differential Equation, solving…