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Breakthroughs & Research

New Algorithm Solves Graph Theory Problem

New Algorithm Solves Graph Theory Problem

A team at MIT has published a new, faster algorithm for solving a famous problem in graph theory, with major implications for network design.

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AI Discovers New Geometric Proofs

AI Discovers New Geometric Proofs

Researchers are now using artificial intelligence to explore mathematical concepts, leading to previously unknown geometric theorems.

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Topology Breakthrough in 4D Spaces

Topology Breakthrough in 4D Spaces

A recent paper sheds new light on the complex nature of four-dimensional manifolds, a notoriously difficult area of topology.

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Progress on the Twin Prime Conjecture

Progress on the Twin Prime Conjecture

Mathematicians have made significant progress towards proving the twin prime conjecture, one of the oldest unsolved problems in number theory.

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Figures & History

The Lost Notebooks of Ramanujan

The Lost Notebooks of Ramanujan

Exploring the fascinating and profound mathematical ideas found within the lost notebooks of Srinivasa Ramanujan.

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A Profile on Maryam Mirzakhani

A Profile on Maryam Mirzakhani

Remembering the incredible life and work of Maryam Mirzakhani, the first and only female Fields Medalist.

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Euclid's Elements: Still Relevant Today?

Euclid's Elements: Still Relevant Today?

How the foundational principles laid out in Euclid's Elements over 2000 years ago still influence modern mathematics and logic.

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Alan Turing: The Father of Computing

Alan Turing: The Father of Computing

A look into the mathematical genius of Alan Turing and his foundational work that led to the modern computer.

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Puzzles & Paradoxes

Exploring the Monty Hall Problem

Exploring the Monty Hall Problem

A deep dive into the famous probability puzzle that has stumped even professional mathematicians. Do you switch doors?

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The Seven Bridges of Königsberg

The Seven Bridges of Königsberg

The historical problem that led to the development of graph theory. Can you find a path that crosses each bridge exactly once?

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Zeno's Paradoxes of Motion

Zeno's Paradoxes of Motion

Can you ever truly reach your destination? Exploring the ancient Greek paradoxes that question the nature of infinity and motion.

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The Infinite Complexity of Fractals

The Infinite Complexity of Fractals

Discover the beauty of fractals like the Mandelbrot set, where infinite complexity arises from simple mathematical rules.

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Math in Action

The Calculus Behind Machine Learning

The Calculus Behind Machine Learning

Understanding how fundamental concepts of calculus, like gradient descent, power modern artificial intelligence.

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How Cryptography Secures Your Data

How Cryptography Secures Your Data

An overview of the number theory and prime factorization that makes modern encryption possible and keeps your information safe.

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The Mathematics of Spacetime

The Mathematics of Spacetime

How Einstein's theory of general relativity uses differential geometry to describe the fabric of the universe.

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Financial Modeling with Stochastic Calculus

Financial Modeling with Stochastic Calculus

A look at the complex mathematics used in the financial world to model stock prices and manage risk.

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