Antiderivative and Derivative
The ramp function is the antiderivative of the Heaviside step function:
The distributional derivative of the Heaviside step function is the Dirac delta function:
Read more about this topic: Heaviside Step Function
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“Poor John Field!I trust he does not read this, unless he will improve by it,thinking to live by some derivative old-country mode in this primitive new country.... With his horizon all his own, yet he a poor man, born to be poor, with his inherited Irish poverty or poor life, his Adams grandmother and boggy ways, not to rise in this world, he nor his posterity, till their wading webbed bog-trotting feet get talaria to their heels.”
—Henry David Thoreau (18171862)