a fixed point

  • 41Lefschetz fixed-point theorem — In mathematics, the Lefschetz fixed point theorem is a formula that counts the number of fixed points of a continuous mapping from a compact topological space X to itself by means of traces of the induced mappings on the homology groups of X . It …

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  • 42Atiyah–Bott fixed-point theorem — In mathematics, the Atiyah–Bott fixed point theorem, proven by Michael Atiyah and Raoul Bott in the 1960s, is a general form of the Lefschetz fixed point theorem for smooth manifolds M , which uses an elliptic complex on M . This is a system of… …

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  • 43Caristi fixed point theorem — In mathematics, the Caristi fixed point theorem (also known as the Caristi Kirk fixed point theorem) generalizes the Banach fixed point theorem for maps of a complete metric space into itself. Caristi s fixed point theorem is a variation of the… …

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  • 44Brouwer's fixed point theorem — ▪ topology       in mathematics, a theorem of algebraic topology (topology) that was stated and proved in 1912 by the Dutch mathematician L.E.J. Brouwer (Brouwer, Luitzen Egbertus Jan). Inspired by earlier work of the French mathematician Henri… …

    Universalium

  • 45Ryll-Nardzewski fixed point theorem — In functional analysis, the Ryll Nardzewski fixed point theorem states that if E is a normed vector space and K is a nonempty convex subset of E which is compact under the weak topology, then every group (or equivalently: every semigroup) of… …

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  • 46Schauder fixed point theorem — The Schauder fixed point theorem is an extension of the Brouwer fixed point theorem to topological vector spaces such as Banach spaces. It asserts that if K is a compact, convex subset of a topological vector space and T is a continuous mapping… …

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  • 47Banks–Zaks fixed point — In quantum chromodynamics (and also N = 1 superquantum chromodynamics) with massless flavors, if the number of flavors, Nf, is sufficiently small (that is small enough to guarantee asymptotic freedom), the theory can flow to an… …

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  • 48Banks-Zaks fixed point — In quantum chromodynamics (and also N=1 superquantum chromodynamics) with massless flavors, if the number of flavors, N f, is sufficiently small (that is small enough to guarantee asymptotic freedom), the theory can flow to an interacting… …

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  • 49Borel fixed-point theorem — In mathematics, the Borel fixed point theorem is a fixed point theorem in algebraic geometry. The result was proved by the Swiss mathematician Armand Borel in 1956.tatement of the theoremLet G be a connected, solvable algebraic group acting… …

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  • 50Fixed-Point-Arithmetik — Eine Festkommazahl ist eine Zahl, die aus einer festen Anzahl von Ziffern besteht. Die Position des Dezimalkommas ist dabei fest vorgegeben, daher der Name. Der Grundgedanke hinter Festkommazahlen ist die exakte Darstellung ohne Rundungsfehler… …

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