Definition:Triangle Wave
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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 $x$.
Graph of Triangle Wave
The graph of $T$ is given below:
Also see
- Results about triangle waves can be found here.