Mathematicians Discover the Perfect Way to Multiply
By chopping up large numbers into smaller ones, researchers have rewritten a fundamental mathematical speed limit.
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.”
The Universe’s Ultimate Complexity Revealed by Simple Quantum Games
A two-player game can reveal whether the universe has an infinite amount of complexity.
Smaller Is Better: Why Finite Number Systems Pack More Punch
Recent progress on the “sum product” problem recalls a celebrated mathematical result that revealed the power of miniature number systems.
How a Strange Grid Reveals Hidden Connections Between Simple Numbers
A graduate student has helped illuminate a long-suspected connection between addition and multiplication.
Foundations Built for a General Theory of Neural Networks
Neural networks can be as unpredictable as they are powerful. Now mathematicians are beginning to reveal how a neural network’s form will influence its function.
Milestone Experiment Proves Quantum Communication Really Is Faster
In a Paris lab, researchers have shown for the first time that quantum methods of transmitting information are superior to classical ones.