In mathematics the function that takes a real number as input and returns its integer part is called the greatest integer function.
Floor funcion in maple.
And this is the ceiling function.
Mfma maple floor systems function extremely well under normal loads however on occasion significant loads can have detrimental affects.
If x is a constant these functions will use evalr to try to cautiously evaluate x to a floating point number and then apply themselves to the result.
This computation is performed initially at the current setting of digits and then if necessary a limited number of times more at higher settings if evalr continues to return a result which is ambiguous with respect to the function being.
The notation used is and the formal definition is that is the largest integer n satisfying another common name for this function is the floor function and that is the name used by maple see the examples below.
The ceiling of a real number x denoted by is defined to be the smallest integer no smaller.
For example and while.
The maple floor function.
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.
The int function short for integer is like the floor function but some calculators and computer programs show different results when given negative numbers.