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:
“Dont you know there are 200 temperance women in this county who control 200 votes. Why does a woman work for temperance? Because shes tired of liftin that besotted mate of hers off the floor every Saturday night and puttin him on the sofa so he wont catch cold. Tonight were for temperance. Help yourself to them cloves and chew them, chew them hard. Were goin to that festival tonight smelling like a hot mince pie.”
—Laurence Stallings (18941968)
“What made the ceiling waterproof?
Landors tarpaulin on the roof.”
—William Butler Yeats (18651939)
“Mark the babe
Not long accustomed to this breathing world;
One that hath barely learned to shape a smile,
Though yet irrational of soul, to grasp
With tiny fingerto let fall a tear;
And, as the heavy cloud of sleep dissolves,
To stretch his limbs, bemocking, as might seem,
The outward functions of intelligent man.”
—William Wordsworth (17701850)
“Hummingbird
stay for a fractional sharp
sweetness, ands gone, cant take
more than that.”
—Denise Levertov (b. 1923)
“Cities are ... distinguished by the catastrophic forms they presuppose and which are a vital part of their essential charm. New York is King Kong, or the blackout, or vertical bombardment: Towering Inferno. Los Angeles is the horizontal fault, California breaking off and sliding into the Pacific: Earthquake.”
—Jean Baudrillard (b. 1929)