Step Function

In mathematics, a function on the real numbers is called a step function (or staircase function) if it can be written as a finite linear combination of indicator functions of intervals. Informally speaking, a step function is a piecewise constant function having only finitely many pieces.

Read more about Step Function:  Definition and First Consequences, Examples, Properties

Famous quotes containing the words step and/or function:

    If women were umpiring none of this [rowdyism] would happen. Do you suppose any ball player in the country would step up to a good-looking girl and say to her, “You color- blind, pickle-brained, cross-eyed idiot, if you don’t stop throwing the soup into me I’ll distribute your features all over you countenance!” Of course he wouldn’t.
    Amanda Clement (1888–1971)

    Think of the tools in a tool-box: there is a hammer, pliers, a saw, a screwdriver, a rule, a glue-pot, nails and screws.—The function of words are as diverse as the functions of these objects.
    Ludwig Wittgenstein (1889–1951)