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Surfaces Beyond Imagination Are Discovered After Decades-Long Search
Using ideas borrowed from graph theory, two mathematicians have shown that extremely complex surfaces are easy to traverse.
Researchers Identify ‘Master Problem’ Underlying All Cryptography
The existence of secure cryptography depends on one of the oldest questions in computational complexity.
Mathematician Hurls Structure and Disorder Into Century-Old Problem
A new paper shows how to create longer disordered strings than mathematicians had thought possible, proving that a well-known recent conjecture is “spectacularly wrong.”
Researchers Defeat Randomness to Create Ideal Code
By carefully constructing a multidimensional and well-connected graph, a team of researchers has finally created a long-sought locally testable code that can immediately betray whether it’s been corrupted.
How and Why Computers Roll Loaded Dice
Researchers are one step closer to injecting probability into deterministic machines.
Solution: ‘Randomness From Determinism’
Readers’ modifications of a bean machine showed how deterministic laws are capable of producing random-seeming behavior.
Mathematicians Calculate How Randomness Creeps In
Mathematicians have figured out exactly how many moves it takes to randomize a 15 puzzle.
How Randomness Can Arise From Determinism
Playing with a simple bean machine illustrates how deterministic laws can produce probabilistic, random-seeming behavior.
Solution: ‘Perfect Randomness’
Is nature inherently random or is perfect randomness just an illusion based on our ignorance?