Infinite patterns appear in numbers described as moving systems

https://www.quantamagazine.org/infinite-patterns-appear-in-numbers-described-as-moving-systems-20221205/

by thedday • 4 years ago

44 15 4 years ago

CelticBard• 4 years ago

You might want to change the title of the post. The article's title is very interesting but just saying "Quant Magazie" in the title isn't interesting

coolandsmartrr• 4 years ago

Looks like this submission links to the article "From Systems in Motion, Infinite Patterns Appear", which is a title that's far more interesting than the name of its publication

dang• 4 years ago

Fixed now. Thanks!

whearyou• 4 years ago

Can someone explain this for the cretins in the room?

mauriciolange• 4 years ago

Still not a sufficient explanation but I pretty much like the headline:

Mathematicians are finding inevitable structures in sufficiently large sets of integers.

_a_a_a_2• 4 years ago

The word structure is commonly used but never seems to be defined.

rightbyte• 4 years ago

Won't a sufficiently large set contain any pattern?

tromp• 4 years ago

In 2018, some mathematicians proved that any non-negative integer subset with a positive limit density (for some eps>0 and all large enough n, the subset contains at least eps*n numbers below n) contains a sumset, i.e. a set C that can be written as the sum of two infinite sets C = A + B (the set of a+b where a in A and b in B). More recently, they extended this to sums of more than two infinite sets.

_a_a_a_2• 4 years ago

I'm afraid that does not illuminate at all.

brookst3• 4 years ago

Can someone explain this comment for the sub-cretins in the room?

Infinite patterns appear in numbers described as moving systems

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