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  2. Plane-wave expansion - Wikipedia

    en.wikipedia.org/wiki/Plane-wave_expansion

    In physics, the plane-wave expansion expresses a plane wave as a linear combination of spherical waves: = = (+) (^ ^), where i is the imaginary unit , k is a wave vector of length k ,

  3. Linear Operators (book) - Wikipedia

    en.wikipedia.org/wiki/Linear_Operators_(book)

    Linear Operators is a three-volume textbook on the theory of linear operators, written by Nelson Dunford and Jacob T. Schwartz. The three volumes are (I) General Theory; (II) Spectral Theory, Self Adjoint Operators in Hilbert Space; and (III) Spectral Operators. The first volume was published in 1958, the second in 1963, and the third in 1971.

  4. Continuous linear extension - Wikipedia

    en.wikipedia.org/wiki/Continuous_linear_extension

    Continuous linear operator; Densely defined operator – Function that is defined almost everywhere (mathematics) Hahn–Banach theorem – Theorem on extension of bounded linear functionals; Linear extension (linear algebra) – Mathematical function, in linear algebra

  5. Linearization - Wikipedia

    en.wikipedia.org/wiki/Linearization

    The linear approximation of a function is the first order Taylor expansion around the point of interest. In the study of dynamical systems , linearization is a method for assessing the local stability of an equilibrium point of a system of nonlinear differential equations or discrete dynamical systems . [ 1 ]

  6. Wikibooks - Wikipedia

    en.wikipedia.org/wiki/Wikibooks

    Growth of the eight largest Wikibooks sites (by language), July 2003–January 2010. Wikibooks (previously called Wikimedia Free Textbook Project and Wikimedia-Textbooks) is a wiki-based Wikimedia project hosted by the Wikimedia Foundation for the creation of free content digital textbooks and annotated texts that anyone can edit.

  7. Linear algebra - Wikipedia

    en.wikipedia.org/wiki/Linear_algebra

    The application of linear algebra in this context is vital for the design and operation of modern power systems, including renewable energy sources and smart grids. Overall, the application of linear algebra in fluid mechanics, fluid dynamics, and thermal energy systems is an example of the profound interconnection between mathematics and ...

  8. Neumann series - Wikipedia

    en.wikipedia.org/wiki/Neumann_series

    Using a truncated Neumann series avoids computation of an explicit matrix inverse, which reduces the complexity of linear data detection from cubic to square. [1] Another application is the theory of propagation graphs which takes advantage of Neumann series to derive closed form expressions for transfer functions.

  9. Algebraic geometry - Wikipedia

    en.wikipedia.org/wiki/Algebraic_geometry

    Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems.Classically, it studies zeros of multivariate polynomials; the modern approach generalizes this in a few different aspects.

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