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Resolvent information


In mathematics, resolvent meaning "that which resolves" may refer to:

  • Resolvent formalism in operator theory
  • Resolvent set in operator theory, the set of points where an operator is "well-behaved"
  • Feller process § Resolvent in probability theory
  • Resolvent (Galois theory) of an equation for a permutation group, in particular:
    • Resolvent quadratic of a cubic equation
    • Resolvent cubic of a quartic equation

In logic:

  • Resolvent (logic), the clause produced by a resolution
  • In the consensus theorem, the term produced by a consensus in Boolean logic

and 20 Related for: Resolvent information

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Resolvent

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Look up resolvent in Wiktionary, the free dictionary. In mathematics, resolvent meaning "that which resolves" may refer to: Resolvent formalism in operator...

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Resolvent formalism

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In mathematics, the resolvent formalism is a technique for applying concepts from complex analysis to the study of the spectrum of operators on Banach...

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Resolvent set

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theory, the resolvent set of a linear operator is a set of complex numbers for which the operator is in some sense "well-behaved". The resolvent set plays...

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Quartic function

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becomes finding the roots of the resolvent cubic which is done elsewhere. This resolvent cubic is equivalent to the resolvent cubic given above (equation (1a))...

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Resolvent cubic

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In algebra, a resolvent cubic is one of several distinct, although related, cubic polynomials defined from a monic polynomial of degree four: P ( x )...

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Spectral theory

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as a bounded operator) is called the resolvent of T. The spectrum of T is therefore the complement of the resolvent set of T in the complex plane. Every...

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Holomorphic functional calculus

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differentiability can be made regarding the resolvent map. The resolvent set ρ(T) is actually an open set on which the resolvent map is analytic. This property will...

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Bring radical

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method, Glasser's method, and the Cockle–Harley method of differential resolvents described below. An alternative form is obtained by setting u = v d 1...

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Separable polynomial

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discriminant of P then X 2 − D {\displaystyle X^{2}-D} is a resolvent for the alternating group. This resolvent is always separable (assuming the characteristic...

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Fredholm theory

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{1}{K-\omega }}f.} A solution of this form is referred to as the resolvent formalism, where the resolvent is defined as the operator R ( ω ) = 1 K − ω I . {\displaystyle...

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Quadratic formula

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alternative way of deriving the quadratic formula is via the method of Lagrange resolvents, which is an early part of Galois theory. This method can be generalized...

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Quintic function

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rational coefficients or the polynomial P2 − 1024 z Δ, named Cayley's resolvent, has a rational root in z, where P = z 3 − z 2 ( 20 r + 3 p 2 ) − z (...

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Feller process

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by the Hille–Yosida theorem. This uses the resolvent of the Feller semigroup, defined below. The resolvent of a Feller process (or semigroup) is a collection...

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Consensus

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sequence. Consensus theorem, an identity in Boolean algebra. Consensus or resolvent term, defined in the consensus theorem. Scientific consensus, the collective...

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Hilbert space

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precisely the same way as for bounded operators: λ is a spectral value if the resolvent operator R λ = ( T − λ ) − 1 {\displaystyle R_{\lambda }=(T-\lambda )^{-1}}...

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Erik Ivar Fredholm

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Fredholm operator Fredholm solvability Fredholm's theorem Fredholm theory Resolvent formalism Awards Björkénska priset (1910) Scientific career Fields Mathematics...

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Integral equation

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is called the Resolvent Kernel and is given by the limit of the Neumann series for the Kernel K {\displaystyle K} and solves the resolvent equations: R...

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Numerical method

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lipschitz function g : X → Y {\displaystyle g:X\rightarrow Y} called resolvent, which has the property that for every root ( x , y ) {\displaystyle (x...

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Convex function

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StackExchange. 21 Mar 2013. Retrieved 14 May 2016. Altenberg, L., 2012. Resolvent positive linear operators exhibit the reduction phenomenon. Proceedings...

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Galois theory

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French-Italian mathematician Joseph Louis Lagrange, in his method of Lagrange resolvents, where he analyzed Cardano's and Ferrari's solution of cubics and quartics...

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