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:
“They seldom looked happy. They passed one another without a word in the elevator, like silent shades in hell, hell-bent on their next look from a handsome stranger. Their next rush from a popper. The next song that turned their bones to jelly and left them all on the dance floor with heads back, eyes nearly closed, in the ecstasy of saints receiving the stigmata.”
—Andrew Holleran (b. 1943)
“What made the ceiling waterproof?
Landor’s tarpaulin on the roof.”
—William Butler Yeats (1865–1939)
“When Western people train the mind, the focus is generally on the left hemisphere of the cortex, which is the portion of the brain that is concerned with words and numbers. We enhance the logical, bounded, linear functions of the mind. In the East, exercises of this sort are for the purpose of getting in tune with the unconscious—to get rid of boundaries, not to create them.”
—Edward T. Hall (b. 1914)
“Hummingbird
stay for a fractional sharp
sweetness, and’s gone, can’t take
more than that.”
—Denise Levertov (b. 1923)
“Hard times accounted in large part for the fact that the exposition was a financial disappointment in its first year, but Sally Rand and her fan dancers accomplished what applied science had failed to do, and the exposition closed in 1934 with a net profit, which was donated to participating cultural institutions, excluding Sally Rand.”
—For the State of Illinois, U.S. public relief program (1935-1943)