piecewise-continuous function
piecewise-continuous function
[¦pēs‚wīz kən¦tin·yə·wəs ′fəŋk·shən] (mathematics)
A function defined on a given region, which can be divided into a finite number of pieces such that the function is continuous on the interior of each piece and its value approaches a finite limit as the argument of the function in the interior approaches a boundary point of the piece.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive
A
piecewise-continuous function u : [0, T] [right arrow] R satisfying u(t) [member of] U for almost all t [member of] [0, T] is called an admissible control.
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