The inverse problems generally are ill-posed in Hadamard sense. These words lead us to think that there exist inverse problems that are well-posed and which are possible to be solved analytically [1].

Quadratic functions are essential in the world of mathematics and have a wide range of applications in various fields, such as physics, engineering, and finance. An inverse function can be thought of ...

Mathematics is a fascinating world, especially when it comes to finding the inverse of a function. An inverse function is a function that undoes the action of another function – meaning, if you input ...

Inverse functions are used to cancel the effect of one function in mathematics, the inverse function is also known as the anti function and it is defined as “It is a function which can reverse the ...

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In this paper we study the relations of four possible generalized inverses of a general distribution functions and their right-continuity properties. We correct a right-continuity result of the ...

Abstract: An inverse analysis method using the spectral decomposition of Green's function is proposed. For linear inverse problems of identifying inner sources from surface responses, Green's function ...

The fast Fourier transform (FFT) is an important digital signal processing algorithm used by a wide range of radio communication devices including your mobile phone. Although the transform and its ...