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Never-Repeating Tiles Can Safeguard Quantum Information
Two researchers have proved that Penrose tilings, famous patterns that never repeat, are mathematically equivalent to a kind of quantum error correction.
How Quickly Do Large Language Models Learn Unexpected Skills?
A new study suggests that so-called emergent abilities actually develop gradually and predictably, depending on how you measure them.
Scientists Find Optimal Balance of Data Storage and Time
Seventy years after the invention of a data structure called a hash table, theoreticians have found the most efficient possible configuration for it.
Researchers Approach New Speed Limit for Seminal Problem
Integer linear programming can help find the answer to a variety of real-world problems. Now researchers have found a much faster way to do it.
Why Locusts Swarm, Humans Do Good and Time Marches On
The Joy of Why podcast returns for a third season, with two co-hosts, 24 brilliant guests and 24 all-new episodes.
Math’s ‘Game of Life’ Reveals Long-Sought Repeating Patterns
John Conway’s Game of Life, a famous cellular automaton, has been found to have periodic patterns of every possible length.