Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An example concerning set addition in F_2^n   We construct sets $A, B$ in a vector space over $\mathbb{F}_2$ with the
property that $A$ is "statistically" almost closed under addition by $B$ in the
sense that $a + b$ almost always lies in $A$ when $a \in A, b \in B$, but which
is extremely far from being "combinatorially" almost closed under addition by
$B$: if $A' \subset A$, $B' \subset B$ and $A' + B'$ is comparable in size to
$A'$ then $|B'| \lessapprox |B|^{1/2}$.

10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex