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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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.
Among the topics are genus change in inseparable extensions of functional fields, the homology of noetherian rings and local rings, the cohomology groups of tori in infinite Galois extensions of number fields, an algorithm for determining the type of a singular fiber in an elliptic pencil, variation of the canonical height of a point depending on a parameter, the non-existence of certain Galois extensions of Q unramified outside two, and refining Gross' conjecture on the values of abelian L-functions.
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.
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.
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.
versions 2/3/4/2000, works with all telephone number fields, including fax, mobile, pagers and fields set up as phone numbers in ACT
Let N/K be a finite Galois extension of number fields of group G.
Standardized patent and priority number fields for crossfile searching and duplicate identification.