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In order to fully understand the quantum world, we may have to develop a new realm of mathematics.
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Quantum Questions Inspire New Math

In order to fully understand the quantum world, we may have to develop a new realm of mathematics.

A new class of quantum particle is about to emerge from the tangled considerations of quantum statistics.
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Inside the Knotty World of ‘Anyon’ Particles

A new class of quantum particle is about to emerge from the tangled considerations of quantum statistics.

The author shows how new mathematical techniques can be used to revitalize a 650-year-old work of art.
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Using Mathematics to Repair a Masterpiece

The author shows how new mathematical techniques can be used to revitalize a 650-year-old work of art.

Richard Feynman’s famous diagrams weren’t just a way to do calculations. They represented a deep shift in thinking about how the universe is put together.
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How Feynman Diagrams Almost Saved Space

Richard Feynman’s famous diagrams weren’t just a way to do calculations. They represented a deep shift in thinking about how the universe is put together.

How quantum entanglement connects with the “many worlds” of quantum theory.
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Entanglement Made Simple

How quantum entanglement connects with the “many worlds” of quantum theory.

The Go-playing program teaches itself to replicate something very much like human intuition, an advance that promises far-reaching consequences.
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Is AlphaGo Really Such a Big Deal?

The Go-playing program teaches itself to replicate something very much like human intuition, an advance that promises far-reaching consequences.

The biologist Sean B. Carroll rediscovers the scientific thrill of an unexpected revelation.
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Deep Secrets and the Thrill of Discovery

The biologist Sean B. Carroll rediscovers the scientific thrill of an unexpected revelation.

The irreversibility of time may be a clue as to what makes up the universe’s dark matter.
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Time’s (Almost) Reversible Arrow

The irreversibility of time may be a clue as to what makes up the universe’s dark matter.

Machine learning works spectacularly well, but mathematicians aren’t quite sure why.
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Big Data’s Mathematical Mysteries

Machine learning works spectacularly well, but mathematicians aren’t quite sure why.

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A regular column in which top researchers explore the process of discovery.