Dec 10, 2022
Infinite Patterns Appear In Numbers Described as Moving Systems
Posted by Dan Breeden in category: mathematics
Furstenberg’s Proof
Szemerédi had been examining sets that contain a “positive fraction” of all the integers. Take, for example, the set containing all multiples of 5. As you look at bigger and bigger swaths of the number line, multiples of 5 continue to appear regularly. Mathematicians say that the set containing all multiples of 5 has the fraction of a fifth of all the integers.