When pigeons outnumber pigeonholes, some birds must double up. This obvious statement, and its inverse, have deep connections to many areas of math and computer science.
Itβs been difficult to find important questions that quantum computers can answer faster than classical machines, but a new algorithm appears to do so for some critical optimization tasks.
Math and computer science researchers have long known that some questions are fundamentally unanswerable. Now physicists are exploring how physical systems put hard limits on what we can predict.
Ten years ago, researchers proved that adding full memory can theoretically aid computation. Theyβre just now beginning to understand the implications.
A young computer scientist and two colleagues show that searches within data structures called hash tables can be much faster than previously deemed possible.
In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a βdeplorable evil.β In time, it would transform the foundations of mathematics.