• constant temperature, calculations based on carrying out an inverse Laplace transformation on the spectrum of the object can produce the only possible...
    76 KB (9,635 words) - 14:49, 12 July 2025
  • In mathematics, the inverse Laplace transform of a function F {\displaystyle F} is a real function f {\displaystyle f} that is piecewise-continuous,...
    8 KB (1,012 words) - 13:27, 30 June 2025
  • In differential geometry, the Laplace–Beltrami operator is a generalization of the Laplace operator to functions defined on submanifolds in Euclidean space...
    20 KB (3,344 words) - 05:14, 20 July 2025
  • centered at p deviates from f (p). The Laplace operator is named after the French mathematician Pierre-Simon de Laplace (1749–1827), who first applied the...
    30 KB (4,682 words) - 23:08, 23 June 2025
  • satisfying ad − bc ≠ 0. Geometrically, a Möbius transformation can be obtained by first applying the inverse stereographic projection from the plane to the...
    70 KB (10,603 words) - 19:06, 8 June 2025
  • Z-transform (redirect from Z-transformation)
    {\displaystyle {\bigg .}X^{*}(s)=X(z){\bigg |}_{\displaystyle z=e^{sT}}} The inverse Laplace transform is a mathematical abstraction known as an impulse-sampled...
    43 KB (5,652 words) - 18:03, 16 July 2025
  • In classical mechanics, the Laplace–Runge–Lenz vector (LRL vector) is a vector used chiefly to describe the shape and orientation of the orbit of one...
    79 KB (10,218 words) - 19:44, 20 May 2025
  • Thumbnail for Fourier transform
    −⁠a/2π⁠. This theorem implies the Mellin inversion formula for the Laplace transformation, f ( t ) = 1 i 2 π ∫ b − i ∞ b + i ∞ F ( s ) e s t d s {\displaystyle...
    177 KB (21,313 words) - 19:14, 8 July 2025
  • transform that may be regarded as the multiplicative version of the two-sided Laplace transform. This integral transform is closely connected to the theory of...
    33 KB (4,679 words) - 18:09, 17 June 2025
  • Thumbnail for Spherical harmonics
    }^{m}({\mathbf {r} })} , are known as Laplace's spherical harmonics, as they were first introduced by Pierre Simon de Laplace in 1782. These functions form an...
    75 KB (12,488 words) - 15:48, 6 July 2025
  • diagonal, and the inverse of the matrix of eigenvectors. This is called the eigendecomposition and it is a similarity transformation. Such a matrix A is...
    102 KB (13,621 words) - 15:09, 12 June 2025
  • physical linearized pressure coefficient is then obtained by the inverse transformation C p = − 2 ϕ x V ∞ = − 2 β 2 ϕ ¯ x ¯ V ∞ = 1 β 2 C ¯ p {\displaystyle...
    9 KB (1,496 words) - 17:38, 13 April 2025
  • fractional Fourier, Laplace, Gauss–Weierstrass, Bargmann and the Fresnel transforms as particular cases. The name "linear canonical transformation" is from canonical...
    19 KB (2,884 words) - 04:13, 24 February 2025
  • {\displaystyle g^{\mu \nu }} denotes the inverse of the metric tensor. The Hodge Laplacian, also known as the Laplacede Rham operator, is a differential operator...
    8 KB (1,101 words) - 19:56, 28 April 2025
  • first integral formula corresponds to the Laplace transform (or sometimes the formal Laplace–Borel transformation) of generating functions, denoted by L...
    62 KB (11,140 words) - 00:12, 16 July 2025
  • 319, S2CID 123637858 Laplace, Pierre-Simon, de (1772), "Recherches sur le calcul intégral et sur le systéme du monde", Histoire de l'Académie Royale des...
    91 KB (14,395 words) - 21:11, 31 May 2025
  • Thumbnail for Chi-squared distribution
    the binomial, normal, and chi-squared distributions, as follows. De Moivre and Laplace established that a binomial distribution could be approximated by...
    45 KB (6,817 words) - 10:25, 19 March 2025
  • Thumbnail for Inverse Gaussian distribution
    inverse Gaussian distribution are provided for the R programming language by several packages including rmutil, SuppDists, STAR, invGauss, LaplacesDemon...
    28 KB (3,168 words) - 15:15, 25 May 2025
  • Thumbnail for Convolution
    operation ( f ∗ g ) ( t ) {\displaystyle (f*g)(t)} can be defined as the inverse Laplace transform of the product of F ( s ) {\displaystyle F(s)} and G ( s...
    67 KB (8,819 words) - 22:44, 19 June 2025
  • Thumbnail for Normal distribution
    ISBN 978-0-19-852341-3. Laplace, Pierre-Simon de (1774). "Mémoire sur la probabilité des causes par les événements". Mémoires de l'Académie Royale des Sciences de Paris...
    149 KB (21,749 words) - 21:46, 22 July 2025
  • Thumbnail for Logarithm
    1000 = 3. As a single-variable function, the logarithm to base b is the inverse of exponentiation with base b. The logarithm base 10 is called the decimal...
    98 KB (11,674 words) - 07:27, 12 July 2025
  • Thumbnail for Siméon Denis Poisson
    to the Bureau des Longitudes succeeding Pierre-Simon Laplace in 1827. In 1817, he married Nancy de Bardi and with her, he had four children. His father...
    35 KB (4,510 words) - 00:31, 18 July 2025
  • Thumbnail for Matrix (mathematics)
    provides a method to calculate the determinant of any matrix. Finally, the Laplace expansion expresses the determinant in terms of minors, that is, determinants...
    128 KB (15,699 words) - 03:26, 7 July 2025
  • inference, which used uniform priors following Laplace's principle of insufficient reason, was called "inverse probability" (because it infers backwards from...
    33 KB (3,426 words) - 21:46, 22 July 2025
  • including by demonstrating that the Laplace–Runge–Lenz vector is constant, or by applying a duality transformation to a 2-dimensional harmonic oscillator...
    128 KB (16,224 words) - 09:38, 18 July 2025
  • Thumbnail for Gaussian integral
    Gauss published the precise integral in 1809, attributing its discovery to Laplace. The integral has a wide range of applications. For example, with a slight...
    21 KB (4,365 words) - 06:30, 29 May 2025
  • Hamilton–Jacobi equation (category CS1 German-language sources (de))
    \beta }} are the contravariant coordinates of the metric tensor (i.e., the inverse metric) solved from the Einstein field equations, and c {\displaystyle...
    44 KB (8,210 words) - 22:52, 28 May 2025
  • Thumbnail for Lorentz force
    Lorentz force (redirect from Laplace force)
    describe the magnetic force on a current-carrying wire (sometimes called Laplace force), and the electromotive force in a wire loop moving through a magnetic...
    57 KB (8,272 words) - 18:31, 22 July 2025
  • Thumbnail for Fourier analysis
    series Fourier–Bessel series Fourier-related transforms Laplace transform (LT) Two-sided Laplace transform Mellin transform Non-uniform discrete Fourier...
    38 KB (4,788 words) - 15:31, 27 April 2025
  • Hermite transform (category CS1 German-language sources (de))
    f_{H}(n)=\int _{-\infty }^{\infty }e^{-x^{2}}\ H_{n}(x)\ F(x)\ dx} The inverse Hermite transform H − 1 { f H ( n ) } {\displaystyle H^{-1}\{f_{H}(n)\}}...
    5 KB (368 words) - 14:05, 13 August 2024