Strict Ordered Number Sequence

A Strict Ordered Number Sequence is an Ordered Number Sequence whose Members are in a Strict Order Relation.

• AKA: Scalar Set, Number Scale, Strictly Ordered Number Sequence.
• Context:
  • It can be a Numeric Interval.
• Example(s):
  • {1 < 2 < 3 < 5 < 7 < 11 < 13 < 17 < 19 < 23 < ...}, The Prime Number Sequence.
  • [1,2]_I ⇒ {1 < 2}
  • [1,100]_I ⇒ {1 < 2 < 3 ... < 100}
  • a Formal Number Sequence.
  • …
• Counter-Example(s):
  • any Weakly Ordered Number Sequence, such as: {1 <= 2 <= 2 <= 3}.
  • (1,1,2,3,5,8,....), The Fibonacci Number Sequence.
• See: .

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