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Category Archives: Math

The Permanence of Duality

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

Cruciality of the Zero-Knowledge Proof in Blockchain

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

How big is 52!?

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,

Fighting Quantum Hackers

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

Fractals: What are They?

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

The Big Bang of Primes

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

Pick’s Theorem: From Points to Area

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,

AlphaGeometry: The Olympiad Level AI for Geometry

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

Measure Theory and the Lebesgue Integral

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