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A function of real numbers is also called a step function if it is piecewise constant function involving a finite number of inputs. There are two types of step functions. Greatest Integer function (floor function) - A function f(x) is said to be a floor function which possesses biggest integer that is less than or equal to the input value x Smallest Integer function (ceiling function) - A function f(x) is said to be a ceiling function which is composed of the lowest integer that is either bigger or equal to the input value x A step function is also known as staircase function, since it looks like a staircase.
Applies To: SQL Server 2014, SQL Server 2016 Preview. Aggregate functions perform a calculation on a set of values and return a single value. Except for COUNT, aggregate functions ignore null values. Aggregate functions are frequently used with the GROUP BY clause of the SELECT statement. All aggregate functions are deterministic. This means aggregate functions return the same value any time that they are called by using a specific set of input values. For more information about function determinism, see Deterministic and Nondeterministic Functions. The OVER clause may follow all aggregate functions except GROUPING and GROUPING_ID.