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:
“They seldom looked happy. They passed one another without a word in the elevator, like silent shades in hell, hell-bent on their next look from a handsome stranger. Their next rush from a popper. The next song that turned their bones to jelly and left them all on the dance floor with heads back, eyes nearly closed, in the ecstasy of saints receiving the stigmata.”
—Andrew Holleran (b. 1943)
“What made the ceiling waterproof?
Landor’s tarpaulin on the roof.”
—William Butler Yeats (1865–1939)
“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)
“It is with benefits as with injuries in this respect, that we do not so much weigh the accidental good or evil they do us, as that which they were designed to do us.—That is, we consider no part of them so much as their intention.”
—Laurence Sterne (1713–1768)