Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Detrended Fluctuation Analysis for Continuous Real Variable Functions   Based on the well-known Detrended Fluctuation Analysis (DFA) for time series,
in this work we describe a DFA for continuous real variable functions. Under
certain conditions, DFA accurately predicts the long-term auto-correlation of
the time series, depending on the value of certain scaling parameter. We show
that for continuous functions, the proposed continuous DFA also exhibits
fractal properties and approximates a power law with scaling exponent one.

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The categories of this paper are: stat
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: hep-lat