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functional difference equation

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  • Functional derivative — In mathematics and theoretical physics, the functional derivative is a generalization of the directional derivative. The difference is that the latter differentiates in the direction of a vector, while the former differentiates in the direction… …   Wikipedia

  • Bellman equation — A Bellman equation (also known as a dynamic programming equation), named after its discoverer, Richard Bellman, is a necessary condition for optimality associated with the mathematical optimization method known as dynamic programming. It writes… …   Wikipedia

  • Complex differential equation — A complex differential equation is a differential equation whose solutions are functions of a complex variable. Constructing integrals involves choice of what path to take, which means singularities and branch points of the equation need to be… …   Wikipedia

  • Schrödinger equation — For a more general introduction to the topic, please see Introduction to quantum mechanics. Quantum mechanics …   Wikipedia

  • Hunter–Saxton equation — In mathematical physics, the Hunter–Saxton equationHunter Saxton 1991] :(u t + u u x) x = frac{1}{2} , u x^2is an integrable PDE that arises in the theoretical study of nematic liquid crystals. If the molecules in the liquid crystal are initially …   Wikipedia

  • Time-dependent density functional theory — (TDDFT) is a quantum mechanical method used inphysics and chemistry to investigate the proprieties of many body systems beyond the ground statestructure. It s an extension of density functional theory (DFT) to the time dependent domain asa method …   Wikipedia

  • Delay differential equation — In mathematics, delay differential equations (DDEs) are a type of differential equation in which the derivative of the unknown function at a certain time is given in terms of the values of the function at previous times. A general form of the… …   Wikipedia

  • Recurrence relation — Difference equation redirects here. It is not to be confused with differential equation. In mathematics, a recurrence relation is an equation that recursively defines a sequence, once one or more initial terms are given: each further term of the… …   Wikipedia

  • Path integral formulation — This article is about a formulation of quantum mechanics. For integrals along a path, also known as line or contour integrals, see line integral. The path integral formulation of quantum mechanics is a description of quantum theory which… …   Wikipedia

  • Barnes G-function — In mathematics, the Barnes G function (typically denoted G ( z )) is a function that is an extension of superfactorials to the complex numbers. It is related to the Gamma function, the K function and the Glaisher Kinkelin constant, and was named… …   Wikipedia

  • Mathematical analysis — Mathematical analysis, which mathematicians refer to simply as analysis, has its beginnings in the rigorous formulation of infinitesimal calculus. It is a branch of pure mathematics that includes the theories of differentiation, integration and… …   Wikipedia

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