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| Meta Title | LAPLACE TRANSFORM definition in American English | Collins English Dictionary |
| Meta Description | LAPLACE TRANSFORM definition: a map of a function, as a signal, defined esp. for positive real values, as time greater... | Meaning, pronunciation, translations and examples in American English |
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| Boilerpipe Text | Word forms:
(regular plural)
Laplace transforms
noun
(
Electrical engineering
:
Communication
,
Analog
)
The Laplace transform is named for French
mathematician
Pierre-Simon Laplace (1749-1827).
Like the Fourier transform,
the Laplace transform
is used for solving differential and integral equations.
Laplace transform
turns integral equations and differential equations to polynomial equations, which are much easier to solve.
The Laplace transform
is a powerful tool formulated to solve a wide variety of initial-value problems.
Collins COBUILD Key Words for Electrical Engineering
. Copyright © HarperCollins Publishers |
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# Definition of 'Laplace transform'
## Laplace transform in American English
noun
Math
a [map](https://www.collinsdictionary.com/us/dictionary/english/map "Definition of map") of a function, as a signal, [defined](https://www.collinsdictionary.com/us/dictionary/english/define "Definition of defined") esp. for [positive](https://www.collinsdictionary.com/us/dictionary/english/positive "Definition of positive") real values, as time [greater](https://www.collinsdictionary.com/us/dictionary/english/greater "Definition of greater") than [zero](https://www.collinsdictionary.com/us/dictionary/english/zero "Definition of zero"), into another [domain](https://www.collinsdictionary.com/us/dictionary/english/domain "Definition of domain") where the function is represented as a [sum](https://www.collinsdictionary.com/us/dictionary/english/sum "Definition of sum") of exponentials
Compare [Fourier transform](https://www.collinsdictionary.com/us/dictionary/english/fourier-transform "Definition of Fourier transform")
Most material © 2005, 1997, 1991 by Penguin Random House LLC. Modified entries © 2019 by Penguin Random House LLC and HarperCollins Publishers Ltd
Word origin
\[1940–45; after P. S. laplace\]
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## Laplace transform in Electrical Engineering
(ləplɑs trænsfɔrm)
**Word forms:** (regular plural) Laplace transforms
noun
(Electrical engineering: Communication, Analog)
The [Laplace](https://www.collinsdictionary.com/us/dictionary/english/laplace "Definition of Laplace") [transform](https://www.collinsdictionary.com/us/dictionary/english/transform "Definition of transform") is a [powerful](https://www.collinsdictionary.com/us/dictionary/english/powerful "Definition of powerful") tool [formulated](https://www.collinsdictionary.com/us/dictionary/english/formulate "Definition of formulated") to [solve](https://www.collinsdictionary.com/us/dictionary/english/solve "Definition of solve") a [wide](https://www.collinsdictionary.com/us/dictionary/english/wide "Definition of wide") variety of initial-value [problems](https://www.collinsdictionary.com/us/dictionary/english/problem "Definition of problems").
The Laplace transform is named for French [mathematician](https://www.collinsdictionary.com/us/dictionary/english/mathematician "Definition of mathematician") Pierre-Simon Laplace (1749-1827).
Like the Fourier transform, the Laplace transform is used for solving differential and integral equations.
Laplace transform turns integral equations and differential equations to polynomial equations, which are much easier to solve.
The Laplace transform is a powerful tool formulated to solve a wide variety of initial-value problems.
Collins COBUILD Key Words for Electrical Engineering. Copyright © HarperCollins Publishers
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| Readable Markdown | **Word forms:** (regular plural) Laplace transforms
noun
(Electrical engineering: Communication, Analog)
The Laplace transform is named for French [mathematician](https://www.collinsdictionary.com/us/dictionary/english/mathematician "Definition of mathematician") Pierre-Simon Laplace (1749-1827).
Like the Fourier transform, the Laplace transform is used for solving differential and integral equations.
Laplace transform turns integral equations and differential equations to polynomial equations, which are much easier to solve.
The Laplace transform is a powerful tool formulated to solve a wide variety of initial-value problems.
Collins COBUILD Key Words for Electrical Engineering. Copyright © HarperCollins Publishers |
| Shard | 6 (laksa) |
| Root Hash | 3710495105961603006 |
| Unparsed URL | com,collinsdictionary!www,/us/dictionary/english/laplace-transform s443 |