Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Square Variation of Rearranged Fourier Series   We prove that there exists a rearrangement of the first $N$ elements of the
trigonometric system such that the $L^2$-norm of the square variation operator
is at most $O_{\epsilon}(\log^{9/22+\epsilon}(N))$. This is an improvement over
$O(\log^{1/2}(N))$ from the canonical ordering.

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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: stat
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol