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:
“Don’t you know there are 200 temperance women in this county who control 200 votes. Why does a woman work for temperance? Because she’s tired of liftin’ that besotted mate of hers off the floor every Saturday night and puttin’ him on the sofa so he won’t catch cold. Tonight we’re for temperance. Help yourself to them cloves and chew them, chew them hard. We’re goin’ to that festival tonight smelling like a hot mince pie.”
—Laurence Stallings (1894–1968)
“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)
“Let us stop being afraid. Of our own thoughts, our own minds. Of madness, our own or others’. Stop being afraid of the mind itself, its astonishing functions and fandangos, its complications and simplifications, the wonderful operation of its machinery—more wonderful because it is not machinery at all or predictable.”
—Kate Millett (b. 1934)
“Hummingbird
stay for a fractional sharp
sweetness, and’s gone, can’t take
more than that.”
—Denise Levertov (b. 1923)
“The common experience is, that the man fits himself as well as he can to the customary details of that work or trade he falls into, and tends it as a dog turns a spit. Then he is part of the machine he moves; the man is lost.”
—Ralph Waldo Emerson (1803–1882)