Definition:Period of Periodic Real Function/Also known as

Period of Periodic Real Function: Also known as

The period of a periodic function $f$ is also known as the principal period of $f$, particularly by those sources which define a period of $f$ as any $L \in \R_{>0}$ such that:

$\forall x \in \R: \map f x = \map f {x + L}$

Some sources use the term fundamental period.

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): period: 1.
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): periodic function
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): periodic function
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): period, periodic
• 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): period, periodic