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:
“Anyone with a real taste for solitude who indulges that taste encounters the dangers of any other drug-taker. The habit grows. You become an addict.... Absorbed in the visions of solitude, human beings are only interruptions. What voice can equal the voices of solitude? What sights equal the movement of a single day’s tide of light across the floor boards of one room? What drama be as continuously absorbing as the interior one?”
—Jessamyn West (1902–1984)
“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)
“I feel affluent or not according to what part of town I am in.”
—Mason Cooley (b. 1927)