gives x if x≥0 and 0 otherwise.
- Ramp automatically threads over lists.
Examplesopen allclose all
Basic Examples (3)
Plot over a subset of the reals:
Ramp is a piecewise function:
Numerical Evaluation (4)
The precision of the output tracks the precision of the input:
Evaluate efficiently at high precision:
Ramp threads over lists:
Specific Values (5)
Function Properties (9)
Ramp is defined for all real numbers:
It is restricted to real inputs:
Function range of Ramp:
Ramp is equivalent to the average of a number with its RealAbs:
Ramp is not an analytic function:
It has singularities, but no discontinuities:
Ramp is nondecreasing:
Ramp is not injective:
Ramp is not surjective:
Ramp is non-negative:
Ramp is convex:
Differentiation and Integration (4)
Integral Transforms (4)
FourierTransform of Ramp:
LaplaceTransform of Ramp:
The convolution of UnitStep with itself is equal to Ramp:
The convolution of Ramp and UnitStep gives a quadratic on the non-negative reals:
The convolution of Ramp with itself gives a cubic on the non-negative reals:
Wolfram Research (2016), Ramp, Wolfram Language function, https://reference.wolfram.com/language/ref/Ramp.html.
Wolfram Language. 2016. "Ramp." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Ramp.html.
Wolfram Language. (2016). Ramp. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Ramp.html