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Solving a 31-year-old grand challenge in mathematics – the KLS conjecture - Microsoft Research
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Solving a 31-year-old grand challenge in mathematics – the KLS conjecture - Microsoft Research

Microsoft Research Blog - Microsoft Research·Xinzhi Zhang·3 days ago
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#microsoft#news#proof#opens#high

For decades, a fundamental question about the difficulty of computing in high-dimensional spaces has resisted proof. New research resolves this question, removing a major theoretical obstacle to understanding the efficiency of randomized algorithms used…

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Solving a 31-year-old grand challenge in mathematics – the KLS conjecture - Microsoft Research
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Solving a 31-year-old grand challenge in mathematics – the KLS conjecture - Microsoft Research

#microsoftresearch#microsoft#proof#opens#high

For decades, a fundamental question about the difficulty of computing in high-dimensional spaces has resisted proof. New research resolves this question, removing a major theoretical obstacle to understanding the efficiency of randomized algorithms used…

15s
The Chemistry in Stellar Nurseries is Complex, and a New 3D Model Highlights It
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The Chemistry in Stellar Nurseries is Complex, and a New 3D Model Highlights It

#universetoday#orion#front#three#dimensional

Young stars form in molecular clouds, and once they're turned on, they begin to shape their natal clouds with radiation. Researchers developed a new 3D model of one feature of the Orion Nebula star-forming region called the Orion Bar.…

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Physicists discover quantum particles that break the rules of reality
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Physicists discover quantum particles that break the rules of reality

ScienceDaily·6 months ago
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Physicists may have just cracked open a hidden side of the quantum world. For decades, every known particle was thought to belong to one of two categories — bosons or fermions — but researchers have now shown that bizarre “in-between” particles called…

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