Did AI just solve one of the hardest math problems?
Imagine a world where the toughest puzzles humanity has ever faced are not only approachable but solvable, and solvable not in years, not in months, but in minutes. This isn’t the stuff of science fiction. It’s happening right now with the help of a powerful ally: artificial intelligence. Recently, Neil Smani, a highly skilled quantitative […]
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The Biggest Breakthroughs in Mathematics: 2025
Imagine you’re piecing together a colossal, multidimensional jigsaw puzzle where each piece represents a fundamental principle of the universe. This might sound like the plot of a sci-fi series, but it’s pretty close to what mathematicians and physicists do when they tackle problems that cross the blurry lines between mathematics and physical laws. David Hilbert, […]
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Is All Mathematics Is Secretly Image Processing?
Reflecting on my recent delve into the intricate interplay between mathematics and image processing, it strikes me how a Fields Medalist like David Mumford, after a stellar career in algebraic topology, pivoted completely to focus on computer vision. This isn’t just a career shift—it’s a profound statement about the nature of how we understand and […]
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What’s The Difference Between Matrices And Tensors?
Ever tried wrapping your brain around tensors and ended up in a twisted heap, perplexed and overwhelmed? Tensors, fundamentally crucial in fields ranging from engineering to physics, often stand shrouded in layers of complexity. And though they bear no resemblance to mattresses, understanding them might feel just as cumbersome. But fear not, today we’re unfurling […]
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What’s The Difference Between Matrices And Tensors?
When most people hear the term “tensor,” chances are their minds don’t jump directly to thoughts of elastic sheets or complex mathematical objects; more likely, it conjures images of a serene afternoon nap on a cozy mattress. However, if you’ve dipped your toes into the world of engineering or physics, you’ll know that tensors are […]
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What is the Math Needed for Quantum Computing
Imagine your daily life transformed into a complex series of mathematical equations. This isn’t just a mathematician’s daydream but a gateway allowing us to decipher the seemingly abstract world of quantum computing. Today, let me take you on a simplified exploration of why quantum computing, while grounded in complex math, isn’t as impenetrable as it […]
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What are the 3 Ways Mathematics Alters Your Brain
Have you ever pondered what happens inside your brain when you tackle mathematical problems? It turns out that delving into mathematics does more than just improve your ability to handle numbers—it fundamentally alters how your brain processes information. In 2016, a fascinating study revealed how our brains respond to mathematical statements compared to general knowledge […]
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How to Become a Millionaire by Solving One Math Problem
In the conventional classroom, math usually involves following a clear set of rules to arrive at an already known answer. But step into the world of research mathematics, and you’re on the frontier of human understanding. There’s no answer key at the back of your textbook here. Research mathematicians are akin to explorers navigating uncharted […]
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How to ‘See’ the 4th Dimension with Topology
The concept of the fourth dimension, though seemingly abstract and beyond our immediate comprehension, plays an integral role in our understanding of the universe. It pushes the boundaries of our knowledge and challenges our intuitive grasp of reality. The fourth dimension is a realm where our intuition often fails us, creating a fascinating playground for […]
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Google’s AlphaEvolve is making new discoveries in math…
Artificial intelligence (AI) has taken a colossal leap forward with the advent of Google’s Alpha Evolve. This revolutionary AI model is not just another run-of-the-mill product, but a system of large language models that can optimize its own training process. It’s already showing promising results, with new discoveries in mathematics and science, and even reducing […]
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