Clip
Clip[x]
gives x clipped to be between and .
Clip[x,{min,max}]
gives x for min≤x≤max, min for x<min and max for x>max.
Clip[x,{min,max},{vmin,vmax}]
gives vmin for x<min and vmax for x>max.
Details
- Clip[x] is effectively equivalent to Piecewise[{{-1,x<-1},{+1,x>+1}},x].
- The vi, as well as other arguments of Clip, need not be numbers.
- For exact numeric quantities, Clip internally uses numerical approximations to establish its result. This process can be affected by the setting of the global variable $MaxExtraPrecision.
Examples
open allclose allBasic Examples (3)
Scope (28)
Numerical Evaluation (5)
Specific Values (5)
Visualization (3)
Function Properties (9)
Clip is defined for all real inputs:
It is restricted to real inputs:
Function range of Clip[x]:
Range of Clip[x,{min,max},{vmin,vmax}]:
The single-argument form of Clip is an odd function:
This is not true, in general, of the two- and three-argument forms:
Clip is not an analytic function:
Clip[x] has singularities but no discontinuities:
The three-argument form may have discontinuities:
Clip[x] is nondecreasing:
Clip[x] is not injective:
Clip[x] is not surjective:
Clip[x] is neither non-negative nor non-positive:
Clip[x] is neither convex nor concave:
Differentiation and Integration (6)
First derivative with respect to x:
First and second derivatives with respect to x:
Formula for the derivative with respect to x:
Compute the indefinite integral using Integrate:
Possible Issues (1)
Text
Wolfram Research (2004), Clip, Wolfram Language function, https://reference.wolfram.com/language/ref/Clip.html.
CMS
Wolfram Language. 2004. "Clip." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Clip.html.
APA
Wolfram Language. (2004). Clip. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Clip.html