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Floor function

The floor of x, written x, is the largest integer that does not exceed x. So MATH and - 5⌋ = - 5. The floor function, f(x) = ⌊x, is also known as the greatest integer function. The graph of the floor function is a step function:
graphics/IE_floor__9.png
f(x) = ⌊x


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Ceiling function


Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

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