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Mathematics
Mathematics
A Fluid New Path in Grand Math Challenge
A daring speculation offers a potential way forward in one of the great unsolved problems of mathematics: the behavior of the Navier-Stokes equations for fluid flow.
Mathematics
A New Tool to Help Mathematicians Pack
Improvements in how densely spheres and other shapes can be packed together could lead to advances in materials science, deep space communication and theoretical physics.
Mathematics
To Settle Infinity Dispute, a New Law of Logic
To determine the nature of infinity, mathematicians face a choice between two new logical axioms. What they decide could help shape the future of mathematical truth.
number theory
Together and Alone, Closing the Prime Gap
Working on the centuries-old twin primes conjecture, two solitary researchers and a massive collaboration have made enormous advances over the last six months.
Data Driven: The New Big Science
The Mathematical Shape of Things to Come
Scientific data sets are becoming more dynamic, requiring new mathematical techniques on par with the invention of calculus.
theoretical physics
A Jewel at the Heart of Quantum Physics
Physicists have discovered a jewel-shaped geometric object that challenges the notion that space and time are fundamental constituents of nature.
number theory
Mathematicians Shed Light on Elliptic Curves
Two young mathematicians are illuminating a frontier in the study of rational solutions to polynomial equations: the cubics.
Mathematics
Unheralded Mathematician Bridges the Prime Gap
A virtually unknown researcher has made a great advance in one of mathematics’ oldest problems, the twin primes conjecture.
climate science
The Ocean’s Dynamic Role in Climate Change
New data collected by mathematicians and oceanographers in the frigid waters of the Southern Ocean could dramatically improve climate models.