Floor and ceiling functions In mathematics, the floor function is the function that takes as input a real number x, and gives as output the greatest integer...

and the Jacobi–Lie bracket. The floor and ceiling functions are usually typeset with left and right square brackets where only the lower (for floor function)...

ceiling corner brackets ⌈ and ⌉ (U+2308, U+2309) are used to denote the integer floor and ceiling functions. The Quine corners ⌜ and ⌝ have at least two uses...

its domain. The floor and ceiling functions are examples of integer-valued functions of a real variable, but on real numbers and, generally, on (non-disconnected)...

{\displaystyle \lfloor \cdots \rfloor } and ⌈ ⋯ ⌉ {\displaystyle \lceil \cdots \rceil } denote the floor and ceiling functions, respectively. Though the principle's...

Italian, a mezzanino) is an intermediate floor in a building which is partly open to the double-height ceilinged floor below, or which does not extend over...

ImageWidth is expressed in pixels. The equation above uses the floor and ceiling functions. The total number of bytes necessary to store an array of pixels...

some mathematical notation: the Iverson bracket, floor and ceiling functions, and notation for rising and falling factorials. Donald Knuth used the first...

floor and ceiling functions. 4.  Iverson bracket: if P is a predicate, [ P ] {\displaystyle [P]} may denote the Iverson bracket, that is the function...

10 ⁡ x ⌋ {\displaystyle c:=\lfloor -\log _{10}x\rfloor } (cf. Floor and ceiling functions). A similar measurement is sometimes used to describe the purity...