In mathematics, the Laplace transform, named after Pierre-Simon Laplace (/ləˈplɑːs/), is an integral transform that converts a function of a real variable...

In mathematics, the inverse Laplace transform of a function F ( s ) {\displaystyle F(s)} is a real function f ( t ) {\displaystyle f(t)} that is piecewise-continuous...

Pierre-Simon, Marquis de Laplace (/ləˈplɑːs/; French: [pjɛʁ simɔ̃ laplas]; 23 March 1749 – 5 March 1827) was a French scholar whose work was important...

representation. It can be considered a discrete-time equivalent of the Laplace transform (the s-domain or s-plane). This similarity is explored in the theory...

In probability theory, the de Moivre–Laplace theorem, which is a special case of the central limit theorem, states that the normal distribution may be...

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...

theory and statistics, the Laplace distribution is a continuous probability distribution named after Pierre-Simon Laplace. It is also sometimes called...

In differential geometry, the Laplace–Beltrami operator is a generalization of the Laplace operator to functions defined on submanifolds in Euclidean space...

Hankel transform Hartley transform Laplace transform Least-squares spectral analysis Linear canonical transform List of Fourier-related transforms Mellin...

Mellin transform is an integral transform that may be regarded as the multiplicative version of the two-sided Laplace transform. This integral transform is...

the Hankel transform and its inverse work for all functions in L2(0, ∞). The Hankel transform can be used to transform and solve Laplace's equation expressed...

}^{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...

In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete...

The above properties mean, more precisely, that Laplace's equation for u {\displaystyle u} and Laplace's equation for v {\displaystyle v} are the integrability...

In classical mechanics, the Laplace–Runge–Lenz (LRL) vector is a vector used chiefly to describe the shape and orientation of the orbit of one astronomical...

applied mathematics, the starred transform, or star transform, is a discrete-time variation of the Laplace transform, so-named because of the asterisk...

Luis Laplace is an Argentine architect who, with his partner Christophe Comoy, founded and runs the Paris-based Laplace practice, where he is the head...

dividing the Laplace transform of the output, Y ( s ) = L { y ( t ) } {\displaystyle Y(s)={\mathcal {L}}\left\{y(t)\right\}} , by the Laplace transform of the...

Fourier-related transforms Laplace transform (LT) Two-sided Laplace transform Mellin transform Non-uniform discrete Fourier transform (NDFT) Quantum Fourier...

} The Laplace transform is the fractional Laplace transform when θ = 90 ∘ . {\displaystyle \theta =90^{\circ }.} The inverse Laplace transform corresponds...

In mathematics, Laplace's method, named after Pierre-Simon Laplace, is a technique used to approximate integrals of the form ∫ a b e M f ( x ) d x , {\displaystyle...

the Green's function (or fundamental solution) for the Laplacian (or Laplace operator) in three variables is used to describe the response of a particular...

Pierre-Simon Laplace de Moivre-Laplace theorem that approximates binomial distribution with a normal distribution Laplace–Bayes estimator Laplace distribution...

integral transforms like the Hankel transform and the Laplace transform and their inverses result when suitable G-function pairs are employed as transform kernels...

}^{\infty }|f(t)|e^{-\sigma |t|}\,dt} is finite. For f ∈ Xσ, the Laplace transform of Iα f takes the particularly simple form ( L I α f ) ( s ) = s −...

of a function of arbitrarily many variables according to higher-order Laplace functions], Journal für die Reine und Angewandte Mathematik (in German)...

ratio, also known as the adiabatic index, the ratio of specific heats, or Laplace's coefficient, is the ratio of the heat capacity at constant pressure (CP)...

Abraham de Moivre FRS (French pronunciation: [abʁaam də mwavʁ]; 26 May 1667 – 27 November 1754) was a French mathematician known for de Moivre's formula...

ocean tide analysis for improved GRACE de-aliasing (DAROTA)". Archived from the original on 2 April 2015. "The Laplace Tidal Equations and Atmospheric Tides"...

Robin boundary condition Cauchy problem Various topics Jet bundle Laplace transform applied to differential equations List of dynamical systems and differential...