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:
“The distant box is open. A sound of grain
Poured over the floor in some eagerness we
Rise with the night let out of the box of wind.”
—John Ashbery (b. 1927)
“What made the ceiling waterproof?
Landor’s tarpaulin on the roof.”
—William Butler Yeats (1865–1939)
“The English masses are lovable: they are kind, decent, tolerant, practical and not stupid. The tragedy is that there are too many of them, and that they are aimless, having outgrown the servile functions for which they were encouraged to multiply. One day these huge crowds will have to seize power because there will be nothing else for them to do, and yet they neither demand power nor are ready to make use of it; they will learn only to be bored in a new way.”
—Cyril Connolly (1903–1974)
“Hummingbird
stay for a fractional sharp
sweetness, and’s gone, can’t take
more than that.”
—Denise Levertov (b. 1923)
“...I learned in the early part of my career that labor must bear the cross for others’ sins, must be the vicarious sufferer for the wrongs that others do.”
—Mother Jones (1830–1930)