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Is 《sinx》under differentiation a valid cyclic group.

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- Thread starter tomgotthefunk
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Is 《sinx》under differentiation a valid cyclic group.

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Perhaps you are thinking that differentiation operates on a set of real valued functions. That is true, but differentiation itself is not a real valued function. (Differentiation is a function from functions to other functions.) So differentiation of a function is not a binary operation involving two real valued functions.

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Consider sin as a row, then differentiation is cyclic, but there is not any connection with groups.

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