Discrete Math Floor And Ceiling

How do i use the floor and or ceiling functions to express the number of integers n that satisfy a n b.

Discrete math floor and ceiling.

Scott apr 2 15 at 7 35. Browse other questions tagged functions discrete mathematics inequality or ask your own question. Floor and ceiling functions let x be a real number the floor function of x denoted by x is the largest integer that is smaller than or equal to x the ceiling function of x denoted by x is the. Some say int 3 65 4 the same as the floor function.

For example and while. You may have been calculating the floor and ceiling of 1 5 incorrectly. A floor function map a real number to a smallest previous integer b greatest previous integer c smallest following integer d none of the mentioned view answer. Let a and b be real numbers with a b.

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. And this is the ceiling function. Cs 2336 discrete mathematics author. Endgroup brian m.

The int function short for integer is like the floor function but some calculators and computer programs show different results when given negative numbers.