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Inversion formula for the problem of integral geometry on families of parabolas

Niyetbay Uteuliev)Nukus branch of Tashkent University of Information Technologies, Nukus, UzbekistanGafur Djaykov)Nukus branch of Tashkent University of Information Technologies, Nukus, UzbekistanAbat Seidullaev2)Karakalpak State University, Nukus, Uzbekistan
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Аннотация

In this paper, we consider the problems of integral geometry on families of parabolas. We examined the application of the integral geometry problem to seismic problems. We shall get the inverse formula for the problem of integral geometry on families of parabolas. Numerical experiments demonstrate the performance of the algorithm.

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