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:
“Four and twenty at her back
And they were a’ clad out in green;
Tho the King of Scotland had been there
The warst o’ them might hae been his Queen.
On we lap and awa we rade
Till we cam to yon bonny ha’
Whare the roof was o’ the beaten gold
And the floor was o’ the cristal a’.”
—Unknown. The Wee Wee Man (l. 21–28)
“What made the ceiling waterproof?
Landor’s tarpaulin on the roof.”
—William Butler Yeats (1865–1939)
“Nobody is so constituted as to be able to live everywhere and anywhere; and he who has great duties to perform, which lay claim to all his strength, has, in this respect, a very limited choice. The influence of climate upon the bodily functions ... extends so far, that a blunder in the choice of locality and climate is able not only to alienate a man from his actual duty, but also to withhold it from him altogether, so that he never even comes face to face with it.”
—Friedrich Nietzsche (1844–1900)
“Hummingbird
stay for a fractional sharp
sweetness, and’s gone, can’t take
more than that.”
—Denise Levertov (b. 1923)
“Ultimately a hero is a man who would argue with the gods, and so awakens devils to contest his vision. The more a man can achieve, the more he may be certain that the devil will inhabit a part of his creation.”
—Norman Mailer (b. 1923)