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
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
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: Arun Muthukkumar Quantum computing has revolutionized the field of computer science, offering groundbreaking advancements in problem-solving and computational power. However, its potential depends on the intent of those who wield it. Once quantum computers reach maturity, their ability to break current encryption models
Imagine a shape so intricate that it reveals infinite complexity as you zoom in on a structure where patterns repeat endlessly at every scale. These mesmerizing forms, known as fractals, defy traditional geometric conventions and open a gateway to understanding natural patterns. From the jagged
Written by: Arun Muthukkumar Just a few days ago, we found the new largest known prime number: 2^136279841 – 1. The search for large prime numbers has fascinated mathematicians for centuries due to their importance in number theory, cryptography, and computer science. Prime numbers, defined
Written by: Arun Muthukkumar Pick’s Theorem is a fascinating, elegant formula that relates the area of a simple polygon with lattice points to the number of lattice points on its boundary and in its interior. This simple yet profound result connects geometry and number theory,
Written by: Jonathan Handjojo In a groundbreaking achievement, researchers at the Google DeepMind team have unveiled AlphaGeometry, an artificial intelligence (AI) system that rivals human Olympiad gold medalists in solving complex geometry problems. The development signifies a significant leap forward in the capabilities of AI
Written by: Karthik Prasad Calculus is one of the greatest inventions in Mathematics. Its two primary tools—the derivative and integral—allow us to calculate the rates of change and work done respectively,and are used throughout the world. However, it doesn’t always do things the way
Written by: Aryan Mansingh 2024 is a Leap Year. Once every four years, an extra day, February 29th, is added to make up for the Earth’s orbit around the sun being longer than the length of a year. However, the story behind the leap seconds