Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Cornu-type spirals and their Darboux parametric deformations   We generalize the Fresnel integrals and introduce a class of planar spirals
F_n, which contains the Cornu spiral as the case F_2. Their Darboux parametric
deformations are also investigated. The F_3 spiral and its Darboux deformed
counterparts are illustrated

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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th