Periodic Real Function/Examples/Sawtooth Function

Example of Periodic Real Function

Let $f: \R \to \R$ be the real function defined as:

$\forall x \in \R: \map f x = x - \floor x$

where $\floor x$ denotes the floor function.

$f$ is periodic with period $1$.

Sources

• 1973: G. Stephenson: Mathematical Methods for Science Students (2nd ed.) ... (previous) ... (next): Chapter $1$: Real Numbers and Functions of a Real Variable: $1.3$ Functions of a Real Variable: $\text {(i)}$ Periodic Functions