- Legendre transform
- преобразование n Лежандра
English-Russian Dictionary on Probability, Statistics, and Combinatorics. — Philadelphia and Moscow. Society for Industrial and Applied Mathematics and TVP Science Publishers. K. A. Borovkov. 1994.
Legendre transform
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Legendre wavelet — Legendre wavelets: spherical harmonic wavelets = Compactly supported wavelets derived from Legendre polynomials are termed spherical harmonic or Legendre wavelets [1] . Legendre functions have widespread applications in which spherical coordinate … Wikipedia
Legendre transformation — f(x) . The function is shown in red, and the tangent line at point (x 0, f(x 0)) is shown in blue. The tangent line intersects the vertical axis at (0, f^star) and f^star is the value of the Legendre transform f^star(p 0) , where p 0=dot{f}(x 0) … Wikipedia
Legendre chi function — In mathematics, the Legendre chi function is a special function whose Taylor series is also a Dirichlet series, given by:chi u(z) = sum {k=0}^infty frac{z^{2k+1{(2k+1)^ u}.As such, it resembles the Dirichlet series for the polylogarithm, and,… … Wikipedia
Adrien-Marie Legendre — Infobox Scientist name = Adrien Marie Legendre caption = Adrien Marie Legendre birth date = birth date|1752|9|18|mf=y birth place = Paris, France death date = death date and age|1833|1|10|1752|9|18|mf=y death place = Paris, France residence =… … Wikipedia
Transformation de legendre — La transformation de Legendre est une opération mathématique qui, schématiquement, transforme une fonction définie par sa valeur en un point en une fonction définie par sa tangente. Les cas classiques d utilisation de la transformation de… … Wikipédia en Français
Transformation de Legendre — La transformation de Legendre est une opération mathématique qui, schématiquement, transforme une fonction définie par sa valeur en un point en une fonction définie par sa tangente. Les cas classiques d utilisation de la transformation de… … Wikipédia en Français
Mehler–Fock transform — In mathematics, the Mehler–Fock transform is an integral transform introduced by Mehler (1881) and rediscovered by Fock (1943). It is given by where P is a Legendre function of the first kind. References Brychkov, Yu.A.; Prudnikov, A.P … Wikipedia
Discrete wavelet transform — An example of the 2D discrete wavelet transform that is used in JPEG2000. The original image is high pass filtered, yielding the three large images, each describing local changes in brightness (details) in the original image. It is then low pass… … Wikipedia
Convex conjugate — In mathematics, convex conjugation is a generalization of the Legendre transformation. It is also known as Legendre–Fenchel transformation or Fenchel transformation (after Adrien Marie Legendre and Werner Fenchel). Contents 1 Definition 2… … Wikipedia
Young's inequality — In mathematics, the standard form of Young s inequality states that if a and b are nonnegative real numbers and p and q are positive real numbers such that 1/ p + 1/ q = 1 then we have:ab le frac{a^p}{p} + frac{b^q}{q}.Equality holds if and only… … Wikipedia
Free entropy — A thermodynamic free entropy is an entropic thermodynamic potential analogous to the free energy. Also know as a Massieu, Planck, or Massieu Planck potentials (or functions), or (rarely) free information. In statistical mechanics, free entropies… … Wikipedia
