Mathematical misconceptions about periodic functions

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The properties of periodic functions of a real argument are considered. A number of counterexamples are cited, which refute the common misconceptions about the properties of periodic functions. The proof of the theorem on the existence of the smallest period of a function in the presence of its continuity is given.

Periodic function, continuity offunction, counterexample

Короткий адрес: https://sciup.org/147245412

IDR: 147245412   |   DOI: 10.17072/1993-0550-2018-4-74-77

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