The Kakeya set—named for its discoverer Sōichi Kakeya—was complicated by a subsequent mathematician named Abram Samoilovitch ...

Introduction to formal techniques used for system specifications and verifications: temporal logic, set theory, proofs, and model checking. TLA+ (Temporal Logic of Actions) specifications. Safety and ...

In an extraordinary achievement that has stunned the global mathematics community, two high school students from Louisiana ...

If pure math can teach ... evading a proof for more than a decade – until, in 2022, Zahl and Wang unexpectedly showed the opposite. A sticky Kakeya set in three dimensions, they proved, must ...

sets, functions, relations, databases, and finite automata; deterministic algorithms and randomized algorithms; analysis techniques based on counting methods and recurrence equations; trees and more ...