Do Singular Matrices Harbor a Hidden Rule?

The world of matrices is a world of rules that stubbornly resist cramming into a single sentence. A team of mathematicians from the University at Buffalo and the University of Zagreb has asked a deceptively simple question about those rules: what happens when you squeeze the spectrum of a matrix and demand that certain structural…

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Stellar light stitched into a map of binaries

Across the night sky, binary stars dance as twins locked in gravitational choreography. For centuries, astronomers measured their periods, eclipses, and light curves, but the twins’ true shapes and separations hid behind a fog of distance and glare. The sharper the view, the more precisely we can weigh them, map their orbits, and learn how…

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