Definition:Triangle Wave/Graph

From ProofWiki
Jump to navigation Jump to search

Definition

Let $T$ be the triangle wave defined as:

$\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}$


The graph of $T$ is given below:

Triangle-wave.png