Programming Reference Manual

Version 1.0 DD-00006-010

Interval arithmetic consists of a tuple of two numbers representing an infinimum and supremum of an interval. By definition an interval is in or we will however for distinction represent interval numbers as (interval real space) and (interval integer space) as they are used in a distinct manner differing from standard or arithmetic. The definition of an interval is:

The two elements in an interval or are called infinimum and a supremum where for a normalized interval . The two latter are thereby representing the respective infinimum and supremum of an interval hence by definition an interval actually defines a set of values:

This makes it distinct from where a number in the latter would correspond to a fixed defined point.

3.1.1 Singleton Interval

3.1.2 Empty Interval

3.1.3 Sign of an Interval

3.1.4 Bounded and Whole Interval

3.1.5 Normalized Interval

3.1.2 Empty Interval

3.1.3 Sign of an Interval

3.1.4 Bounded and Whole Interval

3.1.5 Normalized Interval