# number field

## number field

[′nəm·bər ‚fēld]
(mathematics)
Any set of real or complex numbers that includes the sum, difference, product, and quotient (except division by zero) of any two members of the set.
References in periodicals archive ?
Their cohomology carries actions both of a linear algebraic group (such as gln) and a galois group associated with the number field one is studying.
Instead, we will work in a larger ring Z[[square root of 2] as Z[[square root of 2] is the ring of integers of the number field Q([square root of 2]).
To exploit vulnerable connections, attackers used the number field sieve algorithm to precompute data.
5 - Manually enter your desired high score into the number field.
The trace formula for an arbitrary connected reductive group over a number field was developed by James Arthur, and the twisted case of it was the subject of the Friday Morning Seminar at Princeton University during the 1983-84 academic year.
To increase the pool of possible matches for various app combinations, keywords from the MARC 650 (subject) and 655 (genre) fields often were needed in conjunction with the call number specifications if the call number field alone wasn't sufficient.
Currently, there is no standard way to generate a number for a collective number field of the Header Data screen while developing a request for quotation (RFQ) while using transaction ME41, nor can a purchase requisition (PR) number be assigned to the field when creating an RFQ with a reference to a PR.
Murgescu, Radu, Cornell University, On the p-class groups of the pure number field Q ([N.
Reflecting the wide used algorithmic and number theory in computer science, cryptography, and medicine, these 20 survey articles cover such topics as the Pell equation, basic algorithms and number theory, the quadratic sieve, primary testing algorithms, lattices, elliptic curves, number theory as an element of computational theory (and beyond), discrete logarithms, the effects of the number field sieve on discreet logarithms, finite fields, reducing the lattice basis to examine univariate polynomials, computing Arakelov class groups, computational class field theory, the algorithm theory of zeta functions over finite fields, congruent number problems and their variants, and an introduction to computing modular forms using modular symbols.
With each iteration, the loopcounter value increased by 1 and was written to the sequence number field.

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