Real analysis | Special functions

Ramp function

The ramp function is a unary real function, whose graph is shaped like a ramp. It can be expressed by numerous , for example "0 for negative inputs, output equals input for non-negative inputs". The term "ramp" can also be used for other functions obtained by scaling and shifting, and the function in this article is the unit ramp function (slope 1, starting at 0). In mathematics, the ramp function is also known as the positive part. In machine learning, it is commonly known as a ReLU activation function or a rectifier in analogy to half-wave rectification in electrical engineering. In statistics (when used as a likelihood function) it is known as a tobit model. This function has numerous in mathematics and engineering, and goes by various names, depending on the context. (Wikipedia).

Ramp function
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Absolute value | Macaulay brackets | Derivative | Statistics | Positive and negative parts | Rectifier (neural networks) | Domain of a function | Identity function | Tobit model | Unary function | Laplace transform | Activation function | Green's function | Maxima and minima | Iterated function | Likelihood function | Arithmetic mean | Convolution | Integral | Digital signal processing | Scaling and shifting | Graph of a function | Heaviside step function | Fourier transform