algebraic number field

短语

词形变化

algebraic number fields 复数 algebraic number fields

释义与例句

n.
  1. 1.

    A field which includes the rational numbers and has finite dimension as a vector space over the rational numbers.

    数学

    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.

    2006, Andres Iglesias, Nobuki Takayama (editors), Mathematical Software - ICMS 2006: 2nd International Congress, Proceedings, Masayuki Noro, An Efficient Implementation for Computing Gröbner Bases over Algebraic Number Fields, Springer, LNCS 4151, page 99, If the operations over an algebraic number field are provided, we can apply [the] usual Buchberger algorithm over the field.