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:
“Before she has her floor swept
Or her dishes done.
Any day you’ll find her
A-sunning in the sun!”
—Edna St. Vincent Millay (1892–1950)
“What made the ceiling waterproof?
Landor’s tarpaulin on the roof.”
—William Butler Yeats (1865–1939)
“One of the most highly valued functions of used parents these days is to be the villains of their children’s lives, the people the child blames for any shortcomings or disappointments. But if your identity comes from your parents’ failings, then you remain forever a member of the child generation, stuck and unable to move on to an adulthood in which you identify yourself in terms of what you do, not what has been done to you.”
—Frank Pittman (20th century)
“Hummingbird
stay for a fractional sharp
sweetness, and’s gone, can’t take
more than that.”
—Denise Levertov (b. 1923)
“You’re neither unnatural, nor abominable, nor mad; you’re as much a part of what people call nature as anyone else; only you’re unexplained as yet—you’ve not got your niche in creation.”
—Radclyffe Hall (1883–1943)