Formally Ordered Number Sequence
(Redirected from Contiguous Numeric Sequence)
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A Formally Ordered Number Sequence is an ordered number sequence that is defined with an algebraic system (with arithmetic operations).
- AKA: Number Field, Explicit Numeric Sequence.
- Context:
- It can be a Supersequence to a Number Sequence, such as a Numeric Interval.
- It can range from being a Formally Ordered Continuous Number Sequence to being a Formally Ordered Discontinuous Number Sequence.
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- Example(s):
- Counter-Example(s):
- See: Number Sequence, Algebraic Number Theory, Algebraic Extension, Field Extension, Field (Mathematics), Rational Number, Hamel Dimension, Vector Space.
References
2015
- (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/Algebraic_number_field Retrieved:2015-4-22.
- In mathematics, an algebraic number field (or simply number field) F is a finite degree (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector space over Q.
The study of algebraic number fields, and, more generally, of algebraic extensions of the field of rational numbers, is the central topic of algebraic number theory.
- In mathematics, an algebraic number field (or simply number field) F is a finite degree (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector space over Q.