Definition:Sawtooth Wave

Definition
A sawtooth wave is a periodic real function $S: \R \to \R$ defined as follows:


 * $\forall x \in \R: \map S x = \begin {cases}

x & : x \in \openint {-\lambda} \lambda \\ \map S {x + 2 \lambda} & : x < -\lambda \\ \map S {x - 2 \lambda} & : x > +\lambda \end {cases}$

where $\lambda$ is a given real constant

Also known as
A sawtooth wave can also be referred to as a saw wave.

Also see

 * Definition:Square Wave
 * Definition:Triangle Wave