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Algebraic and Additive Combinatorics
Polynomials as a counting tool — the Combinatorial Nullstellensatz — and the structure of sumsets from Cauchy–Davenport onward.
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Compute the doubling constant
K
=
∣
A
+
A
∣
/
∣
A
∣
K = |A+A|/|A|
K
=
∣
A
+
A
∣/∣
A
∣
for
A
=
{
1
,
2
,
…
,
10
}
A = \{1,2,\ldots,10\}
A
=
{
1
,
2
,
…
,
10
}
.
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AC
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