Number Sequence
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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 ... < 1⁄8 ... < 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.