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Cap set

In affine geometry, a cap set is a subset of the affine space Z 3 n {\displaystyle \mathbb {Z} _{3}^{n}} (the n {\displaystyle n} -dimensional affine space over the three-element field) where no three elements sum to the zero vector. The cap set problem is the problem of finding the size of the largest possible cap set, as a function of n {\displaystyle…

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  • Set Set (card game)

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Cap set

Nodes40
Edges39
Triples42
Avg. degree1.95
Density0.05
Components1

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Cap set

Top relations

related to Upper bounds · 23
Cap set → Brown, Buhler, Determining, Fields, In, Joe Buhler, Meshulam's, Michael Bateman, Moshe Dubiner, Nets Katz, Noga Alon, Péter Frankl, Ramsey, Ronald Graham, Roy Meshulam, Ruzsa, Szemerédi, Tao, Terence Tao, This
related to Example · 9
Cap set → An, Giuseppe Pellegrino, However, In, More, One, Pellegrino, Set, The
related to Mutually disjoint cap sets · 4
Cap set → All, In, Results, They
related to Strongly regular graphs · 3
Cap set → Every, Its, The Games
is a · 1
Cap set → subset of the affine space Z 3 n
related to Matrix multiplication algorithms · 1
Cap set → The
related to Sunflower conjecture · 1
Cap set → The

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Important terminology

cap set displaystyle sets size mathbb bound problem space three line affine one cards 20 subsets upper game large also

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Cap setis asubset of the affine space Z 3 n0.90text
Cap setrelated to ExampleAn0.60section
Cap setrelated to ExampleSet0.60section
Cap setrelated to ExampleThe0.60section
Cap setrelated to ExampleOne0.60section
Cap setrelated to ExampleMore0.60section
Cap setrelated to ExampleHowever0.60section
Cap setrelated to ExampleGiuseppe Pellegrino0.60section
Cap setrelated to ExampleIn0.60section
Cap setrelated to ExamplePellegrino0.60section
Cap setrelated to Matrix multiplication algorithmsThe0.60section
Cap setrelated to Mutually disjoint cap setsIn0.60section

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    Min side: 3
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