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exponent of field extension

См. также в других словарях:

  • Perfect field — In algebra, a field k is said to be perfect if any one of the following equivalent conditions holds: Every irreducible polynomial over k has distinct roots. Every polynomial over k is separable. Every finite extension of k is separable. (This… …   Wikipedia

  • Cyclotomic field — In number theory, a cyclotomic field is a number field obtained by adjoining a complex primitive root of unity to Q, the field of rational numbers. The n th cyclotomic field Q(ζn) (with n > 2) is obtained by adjoining a primitive n… …   Wikipedia

  • RAF Andrews Field — Infobox Military Structure name= Royal Air Force Station Andrews Field Royal Air Force Station Great Saling USAAF Station 485 location= Located Near Braintree, Essex, England coordinates=coord|51|53|53|N|000|27|18|E| caption= Andrews Field… …   Wikipedia

  • Stretching field — In applied mathematics, stretching fields provide the local deformation of an infinitesimal circular fluid element over a finite time interval ∆ t . The logarithm of the stretching (after first dividing by ∆ t ) gives the finite time Lyapunov… …   Wikipedia

  • Kummer theory — In mathematics, Kummer theory provides a description of certain types of field extensions involving the adjunction of n th roots of elements of the base field.The theory was originally developed by Ernst Kummer around the 1840s in his pioneering… …   Wikipedia

  • Different ideal — In algebraic number theory, the different ideal (sometimes simply the different) is defined to account for the (possible) lack of duality in the ring of integers of an algebraic number field K, with respect to the field trace. It was introduced… …   Wikipedia

  • Polynomial ring — In mathematics, especially in the field of abstract algebra, a polynomial ring is a ring formed from the set of polynomials in one or more variables with coefficients in another ring. Polynomial rings have influenced much of mathematics, from the …   Wikipedia

  • Degree — may refer to: Contents 1 As a unit of measurement 2 In mathematics 3 In education …   Wikipedia

  • Exponentiation — Exponent redirects here. For other uses, see Exponent (disambiguation). Exponentiation is a mathematical operation, written as an, involving two numbers, the base a and the exponent (or power) n. When n is a positive integer, exponentiation… …   Wikipedia

  • Italy — /it l ee/, n. a republic in S Europe, comprising a peninsula S of the Alps, and Sicily, Sardinia, Elba, and other smaller islands: a kingdom 1870 1946. 57,534,088; 116,294 sq. mi. (301,200 sq. km). Cap.: Rome. Italian, Italia. * * * Italy… …   Universalium

  • mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

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