Laplace transform

noun

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

Word History

Etymology

Pierre Simon, Marquis de Laplace

First Known Use

1942, in the meaning defined above

Time Traveler
The first known use of Laplace transform was in 1942

Dictionary Entries Near Laplace transform

Cite this Entry

“Laplace transform.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Laplace%20transform. Accessed 21 Dec. 2024.

More from Merriam-Webster on Laplace transform

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!