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Quantum computers can’t selectively forget information. A new algorithm for multiplication shows a way around that problem.

Researchers have just released hacker-proof cryptographic code — programs with the same level of invincibility as a mathematical proof.

The latest AI algorithms are probing the evolution of galaxies, calculating quantum wave functions, discovering new chemical compounds and more. Is there anything that scientists do that can’t be automated?

To make headway on the mystery of consciousness, some researchers are trying a rigorous new way to test competing theories.

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.

Neural networks are famously incomprehensible, so Been Kim is developing a “translator for humans.”

Several mathematicians under the age of 30 left their marks all over the field, and amateur problem-solvers of all ages made significant contributions to long-dormant puzzles.

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.