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adjoint system

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  • Adjoint representation — In mathematics, the adjoint representation (or adjoint action) of a Lie group G is the natural representation of G on its own Lie algebra. This representation is the linearized version of the action of G on itself by conjugation.Formal… …   Wikipedia

  • Adjoint — In mathematics, the term adjoint applies in several situations. Several of these share a similar formalism: if A is adjoint to B , then there is typically some formula of the type:( Ax , y ) = [ x , By ] .Specifically, adjoint may mean: *Adjoint… …   Wikipedia

  • Root system — This article discusses root systems in mathematics. For root systems of plants, see root. Lie groups …   Wikipedia

  • Self-adjoint operator — In mathematics, on a finite dimensional inner product space, a self adjoint operator is one that is its own adjoint, or, equivalently, one whose matrix is Hermitian, where a Hermitian matrix is one which is equal to its own conjugate transpose.… …   Wikipedia

  • Multi-adjoint logic programming — Multi adjoint logic programming[1] means to express a computer program in the language of multi adjoint logic. The definition of a multi adjoint logic program is given, as usual in fuzzy logic programming, as a set of weighted rules and facts of… …   Wikipedia

  • Integrable system — In mathematics and physics, there are various distinct notions that are referred to under the name of integrable systems. In the general theory of differential systems, there is Frobenius integrability, which refers to overdetermined systems. In… …   Wikipedia

  • Fuzzy locating system — Fuzzy locating is a rough but reliable method based on appropriate measuring technology for estimating a location of an object. The concept of precise or ‘’crisp locating’’ is replaced with respect to the operational requirements and the economic …   Wikipedia

  • Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia

  • Quantum logic — In mathematical physics and quantum mechanics, quantum logic is a set of rules for reasoning about propositions which takes the principles of quantum theory into account. This research area and its name originated in the 1936 paper by Garrett… …   Wikipedia

  • Mathematical formulation of quantum mechanics — Quantum mechanics Uncertainty principle …   Wikipedia

  • C*-algebra — C* algebras (pronounced C star ) are an important area of research in functional analysis, a branch of mathematics. The prototypical example of a C* algebra is a complex algebra A of linear operators on a complex Hilbert space with two additional …   Wikipedia

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