Definition:Truncated Real-Valued Function
Jump to navigation
Jump to search
Definition
Let $f: \R \to \R$ be a real function.
Let $m \in \Z_{>0}$ be a (positive) integer constant.
Let $f_m: \R \to \R$ be the real function defined as:
- $\forall x \in \Dom f: \map {f_m} x = \begin {cases} \map f x & : \map f x \le m \\ m & : \map f x > m \end {cases}$
Then $\map {f_m} x$ is called (the function) $f$ truncated by $m$.
Sources
- 1970: Arne Broman: Introduction to Partial Differential Equations ... (previous) ... (next): Chapter $1$: Fourier Series: $1.1$ Basic Concepts: $1.1.3$ Definitions