Definition:Triangle Wave

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


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

\size x & : x \in \closedint {-\lambda} \lambda \\ \map T {x + 2 \lambda} & : x < -\lambda \\ \map T {x - 2 \lambda} & : x > +\lambda \end {cases}$

where:
 * $\lambda$ is a given real constant
 * $\size x$ denotes the absolute value of $x$.

Also see

 * Definition:Square Wave
 * Definition:Sawtooth Wave