algebraic number field

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algebraic number field

[¦al·jə¦brā·ik ′nəm·bər ‚fēld]
(mathematics)
A finite extension field of the field of rational numbers.
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References in periodicals archive ?
They discuss Cantor and infinity, axiomatic set theory, elementary number theory, computability and provability, Hilbert's tenth problem and applications of it, and Hilbert's tenth problem over number fields. (Ringgold, Inc., Portland, OR)
The seeds twites feed on were also sown in a number fields within the valley.
Koda, Isoclinism classes of Galois groups of number fields. (Preprint).
When creating tables by importing from other databases, be aware that some of the number fields will default to a field size of double and will need to be changed to long integer, text, or something else.
The visit resulted in concluding an arrangement to increase cooperation between the Kingdom and Australia in commercial and economic fields and ways of developing relations, an arrangement to continue contacts and discussions to study ways of cooperation in the field of mining and sending a team of Australian experts to give training to Saudis in this regard, a long-term agreement in the field of importing Australian wheat, exporting of meat to the Kingdom's markets, promoting cooperation in a number fields, including the field of meteorology and protection of environment and in the field of metrology and standards and agriculture.
The search interface allows only for limited field specific searches, by Matrix, Catalogue, or Side Number fields. Search results are updated and displayed below the search box and can be sorted using the indexed field headings: Composer, Date, Title, Artist, Label, Series, Catalogue Number, and Matrix Number.
Other topics include the number of function fields with given genus, unique factorization in the theory of quadratic forms, golden lattices, strict periodic extreme lattices, and generators of number fields. No index is provided.
Stan, Florin, University of Illinois, Urbana-Champaign, Trace problems in algebraic number fields and applications to characters of finite groups.
Al-Najar indicated that the Yemeni part would discuss latest legislative amendments associated with trade and Yemen's achievements in number fields concerning trade and investment, adding that there is great development in negotiation of Yemen joining the WTO.
Algorithmic number theory; lattices, number fields, curves and cryptography.
Number fields may contain numbers or formulas, and there are 43 built-functions that you can use.