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The Map of Mathematics
Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.
The Grand Unified Theory of Rogue Waves
Rogue waves — enigmatic giants of the sea — were thought to be caused by two different mechanisms. But a new idea that borrows from the hinterlands of probability theory has the potential to predict them all.
Mathematicians Prove Universal Law of Turbulence
By exploiting randomness, three mathematicians have proved an elegant law that underlies the chaotic motion of turbulent systems.
For Fluid Equations, a Steady Flow of Progress
A startling experimental discovery about how fluids behave started a wave of important mathematical proofs.
Famous Fluid Equations Spring a Leak
Researchers have spent centuries looking for a scenario in which the Euler fluid equations fail. Now a mathematician has finally found one.
Neutrinos Lead to Unexpected Discovery in Basic Math
Three physicists stumbled across an unexpected relationship between some of the most ubiquitous objects in math.
Scientists Discover Exotic New Patterns of Synchronization
In a world seemingly filled with chaos, physicists have discovered new forms of synchronization and are learning how to predict and control them.
The Double Life of Black Holes
Perfect black holes are versatile mathematical tools. Just don’t mistake them for the real thing.
A Child’s Puzzle Has Helped Unlock the Secrets of Magnetism
People have known about magnets since ancient times, but the physics of ferromagnetism remains a mystery. Now a familiar puzzle is getting physicists closer to the answer.