Definitions for laplace transform
laplace trans·form

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1. Laplace transformnoun

   a function on positive real numbers such that differentiation and integration are reduced to multiplication and division

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1. Laplace transform

   In mathematics, the Laplace transform, named after its discoverer Pierre-Simon Laplace (), is an integral transform that converts a function of a real variable (usually t {\displaystyle t} , in the time domain) to a function of a complex variable s {\displaystyle s} (in the complex frequency domain, also known as s-domain, or s-plane). The transform has many applications in science and engineering because it is a tool for solving differential equations. In particular, it transforms ordinary differential equations into algebraic equations and convolution into multiplication. For suitable functions f, the Laplace transform is the integral

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1. Laplace transform

   The Laplace transform is a widely used integral transform with many applications in physics and engineering. Denoted, it is a linear operator of a function f with a real argument t that transforms it to a function F with a complex argument s. This transformation is essentially bijective for the majority of practical uses; the respective pairs of f and F are matched in tables. The Laplace transform has the useful property that many relationships and operations over the originals f correspond to simpler relationships and operations over the images F. It is named after Pierre-Simon Laplace, who introduced the transform in his work on probability theory. The Laplace transform is related to the Fourier transform, but whereas the Fourier transform expresses a function or signal as a series of modes of vibration, the Laplace transform resolves a function into its moments. Like the Fourier transform, the Laplace transform is used for solving differential and integral equations. In physics and engineering it is used for analysis of linear time-invariant systems such as electrical circuits, harmonic oscillators, optical devices, and mechanical systems. In such analyses, the Laplace transform is often interpreted as a transformation from the time-domain, in which inputs and outputs are functions of time, to the frequency-domain, where the same inputs and outputs are functions of complex angular frequency, in radians per unit time. Given a simple mathematical or functional description of an input or output to a system, the Laplace transform provides an alternative functional description that often simplifies the process of analyzing the behavior of the system, or in synthesizing a new system based on a set of specifications.

How to pronounce laplace transform?

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How to say laplace transform in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of laplace transform in Chaldean Numerology is: 6

2. Pythagorean Numerology

   The numerical value of laplace transform in Pythagorean Numerology is: 3

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Laplace_Transform
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Laplace_Transform
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=laplace transform