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integral transform

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integral transform

In mathematics, a function that results when a given function is multiplied by a so-called kernel function, and the product is integrated (see integration) between suitable limits. Its value lies in its ability to simplify intractable differential equations (subject to particular boundary conditions) by transforming the derivatives and boundary conditions into terms of an algebraic equation that may easily be solved. The solution yielded must be converted to the final solution using an inverse transformation. Several integral transforms are named for the mathematicians who introduced them (Fourier transform, Laplace transform).


integral transform [′int·ə·grəl ′tranz‚fȯrm]
(mathematics)


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Numerical Solution The Laplace--double Fourier inversion of the expressions for temperature and stresses in space--time domain are very complex and we prefer to develop an efficient computer programme for the inversion of these integral transforms.
464 QA672 These proceedings of the special sessions of January 2007 held in both New Orleans and Baton Rouge includes interesting interactions and connections normally assumed to be disparate with the fields of geometry and integral transforms.
To recover the original function, the fan beam inversion formula, which is an integral transform of the fan beam data, must be applied to the discretely measured data.
 
 
 
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