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Out of a Magic Math Function, One Solution to Rule Them All
Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space.
The Subtle Art of the Mathematical Conjecture
It’s an educated guess, not a proof. But a good conjecture will guide math forward, pointing the way into the mathematical unknown.
Universal Pattern Explains Why Materials Conduct
Mathematicians have found that materials conduct electricity when electrons follow a universal mathematical pattern.
A New Approach to Multiplication Opens the Door to Better Quantum Computers
Quantum computers can’t selectively forget information. A new algorithm for multiplication shows a way around that problem.
Mathematicians Discover the Perfect Way to Multiply
By chopping up large numbers into smaller ones, researchers have rewritten a fundamental mathematical speed limit.
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.
Usain Bolt’s Split Times and the Power of Calculus
Just how fast can the fastest human run? This adapted book excerpt from Infinite Powers reveals how calculus helps us investigate the nature of motion and change.
In Quantum Games, There’s No Way to Play the Odds
These games combine quantum entanglement, infinity and impossible-to-calculate winning probabilities. But if researchers can crack them, they’ll reveal deep mathematical secrets.
Proof Finds That All Change Is a Mix of Order and Randomness
All descriptions of change are a unique blend of chance and determinism, according to the sweeping mathematical proof of the “weak Pinsker conjecture.”