laplace

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Pierre-Simon Laplace, French mathematician 1749-1827, used attributively in the names of various mathematical concepts named after him (see "Derived terms" below)
Laplace transform Laplace's equation Laplace Pierre Simon marquis de
Pierre-Simon Laplace, French mathematician 1749-1827, used attributively in the names of various mathematical concepts named after him (see "Derived terms" below)"
French mathematician and astronomer who formulated the nebular hypothesis concerning the origins of the solar system and who developed the theory of probability (1749-1827)
Laplace distribution
A probability distribution consisting of two exponential distributions, one positive and one negative
Laplace operator
An elliptic operator, ∆, used in the modelling of wave propagation, heat flow and many other applications
Laplace plane
the mean plane occupied by the orbit of a satellite during a precession cycle; the plane normal to the orbital precession pole of the satellite
Laplace transform
a function on positive real numbers such that differentiation and integration are reduced to multiplication and division
Laplace transform
In mathematics, an integral transform useful in solving differential equations. The Laplace transform of a function is found by integrating the product of that function and the exponential function e^-pt over the interval from zero to infinity. The Laplace transform's applications include solving linear differential equations with constant coefficients and solving boundary value problems, which arise in calculations relating to physical systems
Laplace's equation
In mathematics, a partial differential equation whose solutions (harmonic functions) are useful in investigating physical problems in three dimensions involving gravitational, electrical, and magnetic fields, and certain types of fluid motion. Named for Pierre-Simon Laplace, the equation states that the sum of the second partial derivatives (the Laplace operator, or Laplacian) of an unknown function is zero. It can apply to functions of two or three variables, and can be written in terms of a differential operator as F = 0, where is the Laplace operator
Pierre-Simon marquis de Laplace
born March 23, 1749, Beaumount-en-Auge, France died March 5, 1827, Paris French mathematician, astronomer, and physicist. He is best known for his investigations into the stability of the solar system and the theory of magnetic, electrical, and heat wave propagation. In his major lifework he applied Newtonian gravitational theory to the solar system to explain deviations of the planets from the orbits predicted by the theory (1773). Newton believed that only divine intervention could explain the solar system's equilibrium, but Laplace established a mathematical basis for it, the most important advance in physical astronomy since Newton. He continued to work on elucidating planetary perturbations through the 1780s. A work published in 1796 included his nebular hypothesis, which attributed the origin of the solar system to the cooling and contracting of a gaseous nebula, a theory that strongly influenced future thought on planetary origins. See also Laplace transform; Laplace's equation
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