One is the floor function and the other is the ceiling function for example the floor and ceiling of a decimal 3 31 are 3 and 4 respectively.
Floor and ceiling function notation.
In mathematics and computer programming two important functions are used quite often.
The ceiling function is usually denoted by ceil x or less commonly ceiling x in non apl computer languages that have a notation for this function.
In fact this notation harks back to gauss in his third proof of quadratic reciprocity in 1808.
I also can t convert decimal numbers to integers within the string.
How to represent the ceiling function using mathematical notation.
The j programming language a follow on to apl that is designed to use standard keyboard symbols uses.
For anchored y x mod y is idempotent.
However because of the elegant symmetry of the floor function and ceiling function symbols and and because is such a useful symbol when interpreted as an iverson bracket the use of to denote the.
And this is the ceiling function.
The floor ceiling and apportioned allotment functions are idempotent.
Some say int 3 65 4 the same as the floor function.
The aftereffect of nested attic or beam functions is the centermost function.
For ceiling and.