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splitting complex

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  • Splitting field — In abstract algebra, a splitting field of a polynomial with coefficients in a field is a smallest field extension of that field over which the polynomial factors (or splits , hence the name) into linear factors. Contents 1 Definition 2 Facts 3 …   Wikipedia

  • Splitting circle method — In mathematics, the splitting circle method is a numerical algorithm for the numerical factorization of a polynomial and, ultimately, for finding its complex roots. It was introduced by Arnold Schönhage in his 1982 paper The fundamental theorem… …   Wikipedia

  • Splitting of prime ideals in Galois extensions — In mathematics, the interplay between the Galois group G of a Galois extension L of a number field K, and the way the prime ideals P of the ring of integers OK factorise as products of prime ideals of OL, provides one of the richest parts of… …   Wikipedia

  • Complex plane — Geometric representation of z and its conjugate in the complex plane. The distance along the light blue line from the origin to the point z is the modulus or absolute value of z. The angle φ is the argument of z. In mathematics …   Wikipedia

  • Splitting principle — In mathematics, the splitting principle is a technique used to reduce questions about vector bundles to the case of line bundles. In the theory of vector bundles, one often wishes to simplify computations, say of Chern classes. Often computations …   Wikipedia

  • splitting — In chemistry, the cleavage of a covalent bond, fragmenting the molecule involved. * * * n. a defence mechanism by which people deal with an emotional conflict by viewing some people as all good and others as all bad: they fail to integrate… …   Medical dictionary

  • splitting — n. a defence mechanism by which people deal with an emotional conflict by viewing some people as all good and others as all bad: they fail to integrate themselves or other people into complex but coherent images. It is commonly used by people… …   The new mediacal dictionary

  • Oxygen-evolving complex — The Kok cycle Possible arrangement of the metalloenzyme core of the OEC. The metal …   Wikipedia

  • Oxygen evolving complex — The oxygen evolving complex, (OEC) also known as the water splitting complex, is a water oxidizing enzyme involved in the photooxidation of water during the light reactions of photosynthesis. Based on a widely accepted theory from 1970 by Kok,… …   Wikipedia

  • Construction of splitting fields — In mathematics, a splitting field of a polynomial with coefficients in a field is an extension of that field over which the polynomial factors into linear factors. The purpose of this article is to describe an iterative process for constructing… …   Wikipedia

  • Generalized complex structure — In the field of mathematics known as differential geometry, a generalized complex structure is a property of a differential manifold that includes as special cases a complex structure and a symplectic structure. Generalized complex structures… …   Wikipedia

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