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floor functionThe floor function of x, historically called the greatest integer function, is the greatest integer less than or equal to x. This function is sometimes written [x], but is best written (a notation that was suggested by Iverson in 1962) to differentiate it from the ceiling function.
Examples: [3.14159]=3, [-3.14159]=-4, and [log(n)/log(10)]+1 is the number of digits in the decimal expansion of the positive integer n.
See Also: CeilingFunction
- K. E. Iverson, A programming language, John Wiley \& Sons, 1962. MR 26:913
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