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)
“What made the ceiling waterproof?
Landor’s tarpaulin on the roof.”
—William Butler Yeats (1865–1939)
“Those things which now most engage the attention of men, as politics and the daily routine, are, it is true, vital functions of human society, but should be unconsciously performed, like the corresponding functions of the physical body.”
—Henry David Thoreau (1817–1862)
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stay for a fractional sharp
sweetness, and’s gone, can’t take
more than that.”
—Denise Levertov (b. 1923)
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—Ralph Waldo Emerson (1803–1882)