Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tomaszewski's Problem on Randomly Signed Sums: Breaking the 3/8 Barrier   Let $v_1$, $v_2$, ..., $v_n$ be real numbers whose squares add up to 1.
Consider the $2^n$ signed sums of the form $S = \sum \pm v_i$. Holzman and
Kleitman (1992) proved that at least 3/8 of these sums satisfy $|S| \le 1$.
This 3/8 bound seems to be the best their method can achieve. Using a different
method, we improve the bound to 13/32, thus breaking the 3/8 barrier.

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The categories of this paper are: supr-con
3
The categories of this paper are: physics
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The categories of this paper are: eess
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn