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 you excommunicate one of us there will be 10 more to step up and take her place. Excommunicate those 10 and there will be 100 to take their places.”
    —Lynn Knavel Whitesides, U.S. Mormon feminist. As quoted in the New York Times, p. 7 (October 2, 1993)

    “Uses are always much broader than functions, and usually far less contentious. The word function carries overtones of purpose and propriety, of concern with why something was developed rather than with how it has actually been found useful. The function of automobiles is to transport people and objects, but they are used for a variety of other purposes—as homes, offices, bedrooms, henhouses, jetties, breakwaters, even offensive weapons.”
    —Frank Smith (b. 1928)