Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the range of harmonic maps in the plane   In 1994 J. Lewis obtained a purely harmonic proof of the classical Little
Picard Theorem by showing that if the joint value distribution of two entire
harmonic functions satisfies certain restrictions then they are necessarily
constant. We generalize Lewis'theorem and the harmonic Liouville theorem in
terms of the range of a harmonic map in the plane.

27
The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
3
The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an