Laplace transform

La·​place transform | \ lə-ˈpläs- How to pronounce Laplace transform (audio) , -ˈplas- How to pronounce Laplace transform (audio) \

Definition of Laplace transform

: a transformation of a function f(x) into the function {latex}g(t) = \int_{o}^{\infty}{e^{-xt}f(x)dx}{/latex} that is useful especially in reducing the solution of an ordinary linear differential equation with constant coefficients to the solution of a polynomial equation

First Known Use of Laplace transform

1942, in the meaning defined above

History and Etymology for Laplace transform

Pierre Simon, Marquis de Laplace

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The first known use of Laplace transform was in 1942

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Cite this Entry

“Laplace transform.” The Dictionary, Merriam-Webster Inc., Accessed 15 December 2019.

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