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
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,
Written by: Maneth Perera Everyday, new evidence regarding the structure of our universe is uncovered, leading to researchers revising mathematical models over decades to perfectly describe their observations. The widely accepted foundational model of our universe is called the Lambda Cold Dark Matter (CDM)
Written by: Jonathan Handjojo Imagine a single framework that would be capable of explaining everything in the universe, a theory that ties together everything from the smallest quarks to the vast galaxies, bridging the laws of physics. This idea, often referred to as the “Theory
Written by: Sahasra Janagama Epilepsy is a common disease that impacts around 2.9 million Americans of various ages, genders, and races. How did different aspects result in a more positive outcome? Is there a way to prevent having surgery? Let’s discuss the different types of
Introduction As the holiday season comes to a close, many New Year’s resolutions center around food—whether it’s eating healthier, supporting local produce, or practicing mindful eating. Yet, while food plays an essential role in our daily lives, many people overlook the journey it takes to