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$ added for "f"
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C.S.
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If f$f$ is infinitely differentiable then f$f$ coincides with a polynomial

I don't think baire-category is a tag.
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C.S.
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deleted 7 characters in body
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C.S.
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added 11 characters in body
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C.S.
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fix capitalization
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Emil Jeřábek
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added 1 characters in body
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C.S.
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Tag added
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Andrey Rekalo
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copyediting, improved formatting
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Pete L. Clark
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C.S.
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