Definition:Half Wave Rectified Sine Curve
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Definition
The half wave rectified sine curve is the real function $f: \R \to \R$ defined as:
- $\forall t \in \R: \map f t = \begin {cases} \sin t & : 2 n \pi \le t \le \paren {2 n + 1} \pi \\ 0 & : \paren {2 n + 1} \pi \le t \le \paren {2 n + 2} \pi \end {cases}$
for all integers $n$.
Graph of Half Wave Rectified Sine Curve
The graph of the half wave rectified sine curve can be presented as follows:
Sources
- 1965: Murray R. Spiegel: Theory and Problems of Laplace Transforms ... (previous) ... (next): Chapter $1$: The Laplace Transform: Solved Problems: Periodic Functions: $24$