Bounded Interval

A Bounded Interval is a Numeric Interval in which neither the Infimum or Supremum are the Infinite Number.

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

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References

2009

• (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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