Ishaan’s Blog

Randomness of One Time Passwords

maths

security

At school, a couple of my friends were discussing the ubiquitous OTPs or One Time Passwords that are used for authentication to various apps and websites. They were saying…

Ishaan Mukherjee

Polar co-ordinates, Spirals and Primes

maths

Recently I came across an amazing 3blue1brown video titled Why do prime numbers make these spirals ? It covers Archimedian…

Ishaan Mukherjee

Flight Turbulence gets deadly serious

physics

data analytics

A severe flight turbulence incident occured earlier this year on May 20 and it was widely reported across many news sites. Tragedy loomed over the incident as the turbulence…

Ishaan Mukherjee

Kinematics Problem 1.13 from I.E. Irodov

physics

Let us take a look at Problem 1.13 from the well-known book Problems in General Physics by I.E. Irodov.

Ishaan Mukherjee

PCA Concepts: A visually intuitive outline

AI

ML

maths

physics

Point clouds are collections of 3D points located randomly in space. Data for a number of 3D point clouds are available at https://people.sc.fsu.edu/~jburkardt/data/ply/.…

Ishaan Mukherjee

Maps and simple graphs - Part 1

algorithms

data structures

Geographical maps can often be usefully represented as simple graphs. In one representation…

Maps and simple graphs - Part 2

algorithms

data structures

In this post, connected components of the world map graph are identified using the Correlates of War (COW) Direct Contiguity dataset v 3.2. This has data…

Taj tessellations

maths

The Taj Mahal is one of the most famous monuments in India and is very popular with tourists. It was built in the 17th century and is regarded as the acme of M…

Generating Spirals

maths

Using polar co-ordinates to better understand circles and spirals

Ishaan Mukherjee

Projectile Motion Basics

physics

A projectile is launched with velocity \(v_0\) at an angle θ to the horizontal. We want to investigate and…

Ishaan Mukherjee