# Cap Set
פרקי פודקאסט מובילים
מְעוּדכָּן:
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 n}
. The first few cap set sizes are 1, 2, 4, 9, 20, 45, 112, ...
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