A Preliminary Report on Some Recent Results in Born Inversion PDF Download
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Author: Jack K. Cohen
Publisher:
ISBN:
Category :
Languages : en
Pages : 21
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Book Description
Author: Jack K. Cohen
Publisher:
ISBN:
Category :
Languages : en
Pages : 21
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Book Description
Author: J. K. Cohen
Publisher:
ISBN:
Category :
Languages : en
Pages : 25
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Book Description
A research group at the Center for Wave Phenomena, Department of Mathematics, Colorado School of Mines, has been developing inversion algorithms for progressively more complex background velocities and source-receiver configurations. In each extension, the crucial issue has been the determination of certain properties of a matrix involving derivatives of the travel time(s). This report discusses and extends a recent result along these lines which appeared in a recent paper by Gregory Beylkin reduces the problem to consideration of a single canonical determinant, h, and then assumes that this determinant does not vanish. With this assumption, he establishes a very general inversion result. Consequently, future theoretical research will focus on the evaluation of h, on establishing conditions for its non-vanishing and on dealing with the phenomena arising when it does vanish. Beylkin's paper uses powerful mathematical tools, such as the notions of pseudo-differential operators, generalized Radon transforms, and generalized back projections. Moreover, Beylkin frames his work in an N-dimensional space. Here, we dispense with much of this mathematical machinery and for convenience confine ourselves to the 3D case (and its 2.5D specialization). We are able to espound Beylkin's results by an approach similar to that presented earlier by Cohen and Hagin. However, we do not attempt to rigorously prove our results, but instead content ourselves with an intuitive derivation and the citing of Beylkin's main theorem.
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Category : Aeronautics
Languages : en
Pages : 1108
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Category : Government reports announcements & index
Languages : en
Pages : 1016
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Category : Government publications
Languages : en
Pages : 476
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Author: American Medical Association
Publisher:
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Category : Medicine
Languages : en
Pages : 850
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Author: National Research Council
Publisher: National Academies
ISBN: 0309039959
Category : Science
Languages : en
Pages : 436
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This book reevaluates the health risks of ionizing radiation in light of data that have become available since the 1980 report on this subject was published. The data include new, much more reliable dose estimates for the A-bomb survivors, the results of an additional 14 years of follow-up of the survivors for cancer mortality, recent results of follow-up studies of persons irradiated for medical purposes, and results of relevant experiments with laboratory animals and cultured cells. It analyzes the data in terms of risk estimates for specific organs in relation to dose and time after exposure, and compares radiation effects between Japanese and Western populations.
Author:
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Category : Medicine
Languages : en
Pages : 938
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Author:
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Category : Medicine
Languages : en
Pages : 864
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Author: George D. Kuh
Publisher: John Wiley & Sons
ISBN: 1118046854
Category : Education
Languages : en
Pages : 422
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Book Description
Student Success in College describes policies, programs, and practices that a diverse set of institutions have used to enhance student achievement. This book clearly shows the benefits of student learning and educational effectiveness that can be realized when these conditions are present. Based on the Documenting Effective Educational Practice (DEEP) project from the Center for Postsecondary Research at Indiana University, this book provides concrete examples from twenty institutions that other colleges and universities can learn from and adapt to help create a success-oriented campus culture and learning environment.
