All descriptions of change are a unique blend of chance and determinism, according to the sweeping mathematical proof of the “weak Pinsker conjecture.”
A two-player game can reveal whether the universe has an infinite amount of complexity.
Recent progress on the “sum product” problem recalls a celebrated mathematical result that revealed the power of miniature number systems.
A graduate student has helped illuminate a long-suspected connection between addition and multiplication.
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.
In a Paris lab, researchers have shown for the first time that quantum methods of transmitting information are superior to classical ones.
Digital security depends on the difficulty of factoring large numbers. A new proof shows why one method for breaking digital encryption won’t work.
Equations, like numbers, cannot always be split into simpler elements.