Written by: Atharv Kanchi The concept of duality can be defined in two different ways. Formally, duality is defined as relating mathematical concepts in a one-to-one relationship through something called involution: if A is B, then B is A. In standard terms, duality is when
A Hidden Challenger in 3D Rotations by Sonit Sahoo Gimbal lock is a phenomenon that occurs when representing rotations in the third dimension, especially when using Euler angles, your classic (X,Y,Z). Although the term seems important, gimbal lock’s implications surround us everyday such
You tell your friend that you know the password to his phone but he doesn’t believe you and tells you to prove it to him. With other people around, you wish to preserve his privacy and decide not to reveal his password. How can you
Introduction Imagine stepping out of your home on a sweltering summer day and finding refuge under a lush canopy of trees, the air cooler and fresher, with the melody of birdsong replacing the clamor of traffic. Urban green spaces – parks, gardens, and green
SYNGAP-1 related disorders (SRD) is a rare genetic disorder caused by a variant on the SYNGAP-1 gene. SRD typically expresses itself in early childhood in the form of epilepsy, global development delay, severe behavioral problems, and a multitude of other complications. Understanding the mechanisms of
Introduction: Merging supermassive black holes (SMBHs) represent some of the most extraordinary phenomena in the universe, showcasing the immense power and complexity of astrophysical dynamics. At the core of many galaxies, SMBHs wield gravitational forces that have the capability to shape their cosmic
Written by Oscar Lee Introduction How many different ways can you shuffle a deck of cards? Well, for the first card, there’s 52 choices. For the second, 51. For the third, 50, and so on. By the Multiplication Principle,