The positive part function, also known as the ramp function, is similar to the identity function, except that for all negative numbers the number 0 is returned instead of the original value.

Integral Edit

The indefinite integral of the positive part function is the positive part of halved square function, plus an arbitrary constant of integration.

\int x^+ \text{d}x =  \left( \frac{1}{2} x^2 \right)^+ + c

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