Algorithmic randomness

Algorithmic randomness refers to the idea that a sequence (like a string of 0s and 1s) is truly random if it cannot be compressed or simplified by any algorithm. In other words, there's no shorter way to describe or generate it than just listing the sequence itself. Such sequences have no patterns or predictable structure, making them indistinguishable from truly random processes. This concept helps distinguish truly random data from seemingly complex but patterned data, providing a formal way to understand randomness in computational and mathematical contexts.