Скачать или смотреть Period (mathematics) | Wikipedia audio article

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00:00:05 1 Definition
00:00:11 2 Examples
00:00:14 2.1 Real number examples
00:00:19 2.2 Complex number examples
00:00:25 2.2.1 Double-periodic functions
00:00:31 3 Properties
00:00:37 4 Generalizations
00:00:45 4.1 Antiperiodic functions
00:00:48 4.2 Bloch-periodic functions
00:00:54 4.3 Quotient spaces as domain
00:00:59 5 Calculating period
00:01:05 6 See also
00:01:11 7 References
00:01:17 8 External links
00:01:19 ​1⁄f [f1 f2 f3 … fN] where all non-zero elements ≥1 and at least one of the elements of the set is 1. To find the period, T, first find the least common denominator of all the elements in the set. Period can be found as T
00:01:25 ​10⁄f.If no least common denominator exists, such that if one of the above elements were irrational, then the wave would not be periodic.



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SUMMARY
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In mathematics, a periodic function is a function that repeats its values in regular intervals or periods. The most important examples are the trigonometric functions, which repeat over intervals of 2π radians. Periodic functions are used throughout science to describe oscillations, waves, and other phenomena that exhibit periodicity. Any function that is not periodic is called aperiodic.