Floor/ceiling Functions and Fractional Part
Square brackets, as in = 3, are sometimes used to denote the floor function, which rounds a real number down to the next integer. However the floor and ceiling functions are usually typeset with left and right square brackets where the upper (for floor function) or lower (for ceiling function) horizontal bars are missing, as in or .
Curly brackets, as in {π} < 1/7, may denote the fractional part of a real number.
Read more about this topic: Bracket (mathematics)
Famous quotes containing the words floor, ceiling, functions, fractional and/or part:
“Four and twenty at her back
And they were a’ clad out in green;
Tho the King of Scotland had been there
The warst o’ them might hae been his Queen.
On we lap and awa we rade
Till we cam to yon bonny ha’
Whare the roof was o’ the beaten gold
And the floor was o’ the cristal a’.”
—Unknown. The Wee Wee Man (l. 21–28)
“Spooky things happen in houses densely occupied by adolescent boys. When I checked out a four-inch dent in the living room ceiling one afternoon, even the kid still holding the baseball bat looked genuinely baffled about how he possibly could have done it.”
—Mary Kay Blakely (20th century)
“The English masses are lovable: they are kind, decent, tolerant, practical and not stupid. The tragedy is that there are too many of them, and that they are aimless, having outgrown the servile functions for which they were encouraged to multiply. One day these huge crowds will have to seize power because there will be nothing else for them to do, and yet they neither demand power nor are ready to make use of it; they will learn only to be bored in a new way.”
—Cyril Connolly (1903–1974)
“Hummingbird
stay for a fractional sharp
sweetness, and’s gone, can’t take
more than that.”
—Denise Levertov (b. 1923)
“A mechanism of some kind stands between us and almost every act of our lives.”
—Sarah Patton Boyle, U.S. civil rights activist and author. The Desegregated Heart, part 3, ch. 2 (1962)