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)
“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)
“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)
“Learning first occurs as a part of emotional interactions; it involves the split-second initiatives that children take as they try to engage other people, interact with them, communicate and reason with them.”
—Stanley I. Greenspan (20th century)