Function

# Ceiling function

## What are the functions of ceiling?

What does the ceiling function do? The ceiling function gives the smallest nearest integer to the specified value in a number line. It gives the rounds up the given number.

## How do you write a ceiling function?

The ceiling function (also known as the least integer function) of a real number x, denoted ⌈ x ⌉ , \lceil x\rceil, ⌈x⌉, is defined as the smallest integer that is not smaller than. x.

## What is the function of floor and ceiling?

In mathematics and computer science, the floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted floor(x) or ⌊x⌋. Similarly, the ceiling function maps x to the least integer greater than or equal to x, denoted ceil(x) or ⌈x⌉.

## What is a ceiling step function?

It is also called the greatest-integer function, or the rounding-down function. On some calculators and in some computer languages it is called the int function. ... The ceiling function is the function f with f(x) = ⌈x⌉, for all real numbers x. It is also called the rounding-up function.

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