Dec 10, 2022

Infinite Patterns Appear In Numbers Described as Moving Systems

Posted by 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.

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