Since mod operation can be expressed using atan and cot, can it be considered as an elementary function? https://en.wikipedia.org/wiki/Elementary_function http://functions.wolfram.com/IntegerFunctions/Mod/27/02/
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I would say yes, following the Wikipedia definition. Think that the modulo is essentially the identity function, plus a piecewise constant function. – Jul 13 '18 at 10:27
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The mod operation is normally considered to be a function $\mathbb Z \to { 0, \ldots, n },$ where $n$ is the divisor. Are you talking of it that way or as a sawtooth function $\mathbb R \to [0, T),$ where $T$ is the divisor (also period)? – md2perpe Jul 13 '18 at 11:27