Work in Celestial Mechanics
Laplace's equation
Laplacian
Laplace transform
Laplace distribution
Laplace's demon
Laplace expansion
Young-Laplace equation
Laplace number
Laplace limit
Laplace invariant
Laplace principle
-wikipedia
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Suppose you could call it the Gaussian Distribution or the Laplace-Gauss (not to be confused with the Laplace distribution which takes an absolute difference from the mean rather than a squared error)... however the Brits had no one to name this distribution after (not the German and French names) and because it is the ubiquitous distribution they just called it... well the NORMAL!!
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The de Moivre-Laplace theorem. Please see the link.
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Dio Lewis Holl has written:
'Plane-strain distribution of stress in elastic media' -- subject(s): Elasticity, Strains and stresses
'Introduction to the Laplace transform' -- subject(s): Laplace transformation
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Laplace will only generate an exact answer if initial conditions are provided
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Laplace is the sound that travels through air in an isothermal process. The Laplace is the first to correct the concept.
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The Laplace pressure is directly proportional to the curvature of a liquid interface. This means that as the curvature of the interface increases, the Laplace pressure also increases. Conversely, as the curvature decreases, the Laplace pressure decreases.
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laplace
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Laplace Transforms are used to solve differential equations.
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Laplace, who's real name is Pierre-Simon Laplace, was a French mathematician and astronomer. He is known for being one of the greatest scientists of all time.
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There are continuous functions, for example f(t) = e^{t^2}, for which the integral defining the Laplace transform does not converge for any value of the Laplace variable s. So you could say that this continuous function does not have a Laplace transform.
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laplace of sin(at) = (a ) / (s^2 + a^2) thus, laplace of sin 23t, just fill in for a=23 (23) / (s^2 + 23^2) thats it...
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What are the uses of laplace transforms in engineering fields,
good luck :) laplace transforms are so boring i dont have a clue what they do.
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Fourier transform and Laplace transform are similar. Laplace transforms map a function to a new function on the complex plane, while Fourier maps a function to a new function on the real line. You can view Fourier as the Laplace transform on the circle, that is |z|=1.
z transform is the discrete version of Laplace transform.
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Cyrille Pierre Théodore Laplace died on 1875-01-24.
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Cyrille Pierre Théodore Laplace was born on 1793-11-07.
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Juan Pablo Laplace was born on January 16, 1968, in Buenos Aires, Argentina.
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Roselyne Laplace has written:
'Monvel' -- subject(s): Actors, Biography, French Authors
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The type of response given by Laplace transform analysis is the frequency response.
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The Laplace transform is related to the Fourier transform, but whereas the Fourier transform expresses a function or signal as a series of modes ofvibration (frequencies), the Laplace transform resolves a function into its moments. Like the Fourier transform, the Laplace transform is used for solving differential and integral equations.
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The Laplace transform of the unit doublet function is 1.
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The Laplace equation is used commonly in two situations. It is used to find fluid flow and in calculating electrostatics.
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Sure! The definition of Laplace transform involves the integral of a function, which always makes discontinuous continuous.
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We are using integrated circuits inside the CPU. Laplace Transformations helps to find out the current and some criteria for the analysing the circuits... So, in computer field Laplace tranformations plays vital role...
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you apply the Laplace transform on both sides of both equations. You will then get a sytem of algebraic equations which you can solve them simultaneously by purely algebraic methods. Then take the inverse Laplace transform .
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The steady-state temperature distribution T(r, theta) in a cylindrical coordinate system can be written as T(r, theta) = C * ln(r) + D. This is the solution to Laplace's equation in cylindrical coordinates. The boundary conditions must be applied to determine the constants C and D.
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the Laplace transform of sin2 3t
http://www7.0zz0.com/2009/12/30/19/748450027.gif
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Poisson's equation includes a source term representing the charge distribution in the region, while Laplace's equation does not have any source term and describes the behavior in the absence of charges. Poisson's equation is a generalization of Laplace's equation, which makes it more suitable for situations involving charge distributions and electric fields.
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unilateral means limit is 0 to infinite and bilateral means -infinite to +infinite in laplace transform
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Ans:
because of essay calucation in s domine rather than time domine and we take inverse laplace transfom
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He formulated Laplace's equation, and invented the Laplace transform which appears in many branches of mathematical physics, a field that he took a leading role in forming. The Laplacian differential operator, widely used in applied mathematics, is also named after him.
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Laplace is used to write algorithms for various programs.
More info is available on wiki .
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This is called the Laplace transform and inverse Laplace transform.
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They are similar. In many problems, both methods can be used. You can view Fourier transform is the Laplace transform on the circle, that is |z|=1. When you do Fourier transform, you don't need to worry about the convergence region. However, you need to find the convergence region for each Laplace transform.
The discrete version of Fourier transform is discrete Fourier transform, and the discrete version of Laplace transform is Z-transform.
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Laplace and Fourier transforms are mathematical tools used to analyze functions in different ways. The main difference is that Laplace transforms are used for functions that are defined for all real numbers, while Fourier transforms are used for functions that are periodic. Additionally, Laplace transforms focus on the behavior of a function as it approaches infinity, while Fourier transforms analyze the frequency components of a function.
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Further electronic designs will most likely require improved methods of these techniques.
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