Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inequalities for general mixed affine surface areas   Several general mixed affine surface areas are introduced. We prove some
important properties, such as, affine invariance, for these general mixed
affine surface areas. We also establish new Alexandrov-Fenchel type
inequalities, Santal\'{o}-type inequalities, and affine isoperimetric
inequalities for these general mixed affine surface areas.

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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol