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:
“Heaven nor hell shall impede my designs, said Manfred, advancing again to seize the princess. At that instant the portrait of his grandfather ... uttered a deep sigh and heaved its breast. ... Manfred ... saw it quit its panel, and descend on the floor with a grave and melancholy air.”
—Horace Walpole (17171797)
“Spooky things happen in houses densely occupied by adolescent boys. When I checked out a four-inch dent in the living room ceiling one afternoon, even the kid still holding the baseball bat looked genuinely baffled about how he possibly could have done it.”
—Mary Kay Blakely (20th century)
“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 (19031974)
“Hummingbird
stay for a fractional sharp
sweetness, ands gone, cant take
more than that.”
—Denise Levertov (b. 1923)
“I wish you would moderate that fondness you have for your children. I do not mean you should abate any part of your care, or not do your duty to them in its utmost extent, but I would have you early prepare yourself for disappointments, which are heavy in proportion to their being surprising.”
—Mary Wortley, Lady Montagu (16891762)