Partially Bound Interval

A Partially Bound Interval is a Numeric Interval in which one of the Infimum or Supremum is the Infinite Number.

• AKA: Partially Bound Numeric Interval, Unbounded Interval.
• Context:
  • It can be:
    • a Right-Open Interval: (-∞,s)={x|x<s}
    • a Right-Closed Interval: (-∞,s]={x|x≤s}
• Counter-Example(s):
  • a Bound Interval.
• See: Bounded Set.

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References

• (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Interval_(mathematics)#Terminology
  • Bounded intervals are bounded sets, in the sense that their diameter (which is equal to the absolute difference between the endpoints) is finite. The diameter may be called the length, width, measure, or size of the interval. The size of unbounded intervals is usually defined as +\infty, and the size of the empty interval may be defined as 0 or left undefined.

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