floor and ceiling functions

Floor and ceiling functions may produce answers which are off by one from the intuitively expected value.

They are also used to denote the integer floor and ceiling functions.

In mathematics and computer science, the floor and ceiling functions map a real number to the largest previous or the smallest following integer, respectively.

(cf. Floor and ceiling functions).

This includes Iverson bracket, Floor and ceiling functions and notation for rising and falling factorials.

Otherwise a rounding or interpolation scheme is used to compute the quantile estimate from h, x, and x. (For notation, see floor and ceiling functions).

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 .