Fairly Dividing Chores: A New Algorithm for a Persistent Problem

The seemingly simple act of dividing chores fairly among a group of people is surprisingly complex. Imagine trying to allocate household tasks—dishwashing, laundry, yard work—in a way that everyone feels it’s a reasonable share. This isn’t just a matter of splitting things evenly; it’s about accounting for individual preferences and abilities. Researchers at the University…

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Do tilted disks remix a black hole’s image?

Lead insight: light around a black hole is not a simple halo but a performance—a chiral, gravitational ballet choreographed by how we view the scene. A Schwarzschild black hole, the simplest non-spinning model, makes a crisp circular shadow when lit by a distant blanket of light. But the real-world glow from an accretion disk—gas and…

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When Hidden Networks Shape the Market’s Pulse

Unveiling the Invisible Web Behind Market Movements Financial markets often feel like a vast, chaotic ocean—billions of dollars ebbing and flowing, prices rising and falling in a dizzying dance. Yet beneath this apparent chaos lies a hidden architecture: a network of relationships connecting assets, sectors, and economic forces. Understanding this invisible web is crucial for…

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A Lean AI Captures Hours of Video in Moments

Video is eating the internet, and the appetite only grows as platforms push shorter, sharper moments that fit into a phone screen and a single scroll. In this crowded landscape, IIT Bombay researchers have cooked up DEEVISum, a lightweight, smart way to turn long videos into concise, meaningful summaries without demanding a fortress of compute….

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When Numbers Refuse to Align How Weighted Approximations Rewrite Math’s Rules

The Puzzle of Perfect Approximation At the heart of mathematics lies a deceptively simple question: how well can we approximate real numbers by rational ones? This question, which echoes through centuries of mathematical thought, is the essence of Diophantine approximation. It’s about finding integer solutions that come tantalizingly close to hitting a target defined by…

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