Number Sequence

A Number Sequence is a sequence of numbers.

• AKA: Numeric Sequence.
• Context:
  • It can range from (typically) being an Ordered Number Sequence to being an Unordered Number Sequence.
  • It can range from being a Numeric String to being ...
  • It can range from being an Integer Sequence, to being a Real Number Sequence.
  • It can range from being a Contiguous Numeric Sequence/Numeric Interval to being a Non-Contiguous Sequence.
  • It can be a Formal Number Sequence, such as The Real Number Sequence.
• Example(s):
  • {}, an Empty Sequence.
  • {2}, a Degenerate Sequence.
  • {3 < 5}.
  • {3 < 4 < 5}.
  • {1 < 2 < 3... < ∞}, The N1 Number Sequence.
  • {0 < 1 < 2 < 3... < ∞}, The N0 Number Sequence.
  • {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}
  • [0,1)_R ⇒ {0, ..., 0.999999...}
  • {-∞ … < -3 < -2 < -1 < 0 < 1 < 2 < 3 <... < ∞}, The Integer Number Sequence.
  • {-∞ … < -1 … < Zero … < ⅛ … < 1 … < 3.14... < π... < ∞}, The Real Number Sequence.
  • …
• Counter-Example(s):
  • an Ordinal Scale such as {Small, Medium, Large}.
  • a Categorical Set such as {Reg, Green, Blue}.
• See: Ordered Set, Numeric Function, Numeric Sequence.

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