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Mathematics
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The Lawlessness of Large Numbers
Mathematicians can often figure out what happens as quantities grow infinitely large. What about when they are just a little big?
Elliptic Curves Yield Their Secrets in a New Number System
Ana Caraiani and James Newton have extended an important result in number theory to the imaginary realm.
How Math Achieved Transcendence
Transcendental numbers include famous examples like e and π, but it took mathematicians centuries to understand them.
Computer Scientists Inch Closer to Major Algorithmic Goal
A new paper finds a faster method for determining when two mathematical groups are the same.
Mathematicians Discover Novel Way to Predict Structure in Graphs
Mathematicians probe the limits of randomness in new work estimating quantities called Ramsey numbers.
The Simple Geometry That Predicts Molecular Mosaics
By treating molecules as geometric tessellations, scientists devised a new way to forecast how 2D materials might self-assemble.
Flow Proof Helps Mathematicians Find Stability in Chaos
A series of new papers describes how to fully characterize key dynamical systems with relatively little data.
First-Year Graduate Student Finds Paradoxical Set
No two pairs have the same sum; add three numbers together, and you can get any whole number.
How Math Has Changed the Shape of Gerrymandering
New tools make it possible to detect hidden manipulation of maps.