Definition:Triangle Function

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Definition

The triangle function is the real function $\Lambda: \R \to \R$ defined as:

$\forall x \in \R: \map \Lambda x := \begin {cases} 1 - \size x : & \size x \le 1 \\ 0 : & \size x > 1 \end {cases}$

where $\size x$ denotes the absolute value function.


Graph of Triangle Function

The graph of the triangle function is illustrated below:


Triangle-function.png


Sources