What is floor and ceil in mathematics? Answer in simple language.
Answers
In mathematics and computer science, the floor function is the function that takes as input a real number , and gives as output the greatest integer less than or equal to , denoted or . Similarly, the ceiling function maps to the least integer greater than or equal to , denoted or . For example, and , while .
Answer:
In mathematics and computer science, the floor function is the function that takes as input a real number , and gives as output the greatest integer less than or equal to , denoted or . Similarly, the ceiling function maps to the least integer greater than or equal to , denoted or . For example, and , while .
The ceiling function returns the smallest nearest integer whereas the floor function returns the largest nearest integer for a specified value.
The floor function of x, denoted by ⌊x⌋ or floor(x), is defined to be the greatest integer that is less than or equal to x. The ceiling function of x, denoted by ⌈x⌉ or ceil(x), is defined to be the least integer that is greater than or equal to x. For example, ⌊π⌋=3,⌈π⌉=4,⌊5⌋=5,⌈5⌉=5.