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Concept information

mathematical physics > special function > hypergeometric function > Bring radical
mathematical analysis > functional analysis > special function > hypergeometric function > Bring radical
number > number theory > algebraic number theory > Bring radical
... > mathematical analysis > function > elementary function > polynomial > polynomial equation > Bring radical
algebra > polynomial > polynomial equation > Bring radical
mathematical analysis > equation > polynomial equation > Bring radical

Terme préférentiel

Bring radical  

Définition(s)

  • In algebra, the Bring radical or ultraradical of a real number a is the unique real root of the polynomial

    The Bring radical of a complex number a is either any of the five roots of the above polynomial (it is thus multi-valued), or a specific root, which is usually chosen such that the Bring radical is real-valued for real a and is an analytic function in a neighborhood of the real line. Because of the existence of four branch points, the Bring radical cannot be defined as a function that is continuous over the whole complex plane, and its domain of continuity must exclude four branch cuts.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Bring_radical)

Concept(s) générique(s)

Synonyme(s)

  • ultraradical

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-RZHMZQ9H-2

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RDF/XML TURTLE JSON-LD Date de création 17/08/2023, dernière modif. 17/08/2023