Formal Number Sequence

A Formal Number Sequence is an Ordered Number Sequence that is defined with a Algebraic System (with Arithmetic Operations).

• AKA: Number Field, Formal Numeric Sequence.
• Context:
  • It can be a Supersequence to a Number Sequence, such as a Numeric Interval.
  • It can be:
    • a Continuous Number Sequence.
    • a Discontinuous Number Sequence.
• Example(s):
  • The Natural Number Sequence.
  • The Integer Number Sequence.
  • The Rational Number Sequence.
  • The Real Number Sequence.
• See: Sequence.

References

• (Wikipedia, 2009) http://en.wikipedia.org/wiki/Algebraic_number_field
  • In mathematics, an algebraic number field (or simply number field) F is a finite (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.