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searching for Partition regularity 3 found (7 total)

alternate case: partition regularity

Piecewise syndetic set (459 words) [view diff] exact match in snippet view article find links to article

{N} } , the Stone–Čech compactification of the natural numbers. Partition regularity: if S {\displaystyle S} is piecewise syndetic and S = C 1 ∪ C 2 ∪
Fermat's right triangle theorem (2,278 words) [view diff] no match in snippet view article find links to article
on 2013-01-20 Cooper, Joshua; Poirel, Chris (2008), Pythagorean partition-regularity and ordered triple systems with the sum property, arXiv:0809.3478
Julian Sahasrabudhe (1,256 words) [view diff] exact match in snippet view article find links to article
b {\displaystyle a,b,a^{b}} is monochromatic, demonstrating the partition regularity of complex exponential patterns. This work marks a crucial development