Talk:Minkowski problem
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Bodrenko's proof
[edit]I removed this claim "In 2007 The Minkowski problem in Riemannian space was resolved" from the article, because it only refers to this unpublished working paper arXiv:0708.3929 by Andrei I. Bodrenko. The claim has been added by indefinitely blocked User:Ceoworld, very likely Bodrenko himself. So unless some one can provide a credible verification for this proof, I suggest we're keeping this out of the article. --bender235 (talk) 22:37, 17 July 2011 (UTC)
NDT
[edit]Nondestructive testing may refer to the Minkowski problem, but where? The following reference (which has many volumes) was removed:
- Thompson, Donald O. Dale E. Chimenti. Review of Progress in Quantitative Nondestructive Evaluation.
Volume number, article title and author are needed to be in this page.
The topic of radiolocation is said to be connected to the Minkowski problem, and there are references. However, the connection could be clarified. — Rgdboer (talk) 21:07, 3 July 2019 (UTC)
Stealth
[edit]The following was removed:
- The problem of radiolocation is easily reduced to the Minkowski problem in Euclidean 3-space: restoration of convex shape over the given Gauss surface curvature. The inverse problem of the short-wave diffraction is reduced to the Minkowski problem. The Minkowski problem is the basis of the mathematical theory of diffraction as well as for the physical theory of diffraction. In the 1960s Petr Ufimtsev (P. Ya. Ufimtsev) began developing a high-frequency asymptotic theory for predicting the scattering of electromagnetic waves from two-dimensional and three-dimensional objects. Now this theory is well known as the physical theory of diffraction (PTD). This theory played the main role in the design of American stealth-aircraft F-117 and B-2.
- Mezhlum A. Sumbatyan (2004) Equations of Mathematical Diffraction Theory, CRC Press ISBN 978-0-415-30849-6
- Ufimtsev, P. Ya. (2007). Fundamentals of the Physical Theory of Diffraction. Hoboken, New Jersey: Wiley & Sons. ISBN 978-0-470-09771-7.
- Ufimtsev, P. Ya. (1962). Method of Edge Waves in the Physical Theory of Diffraction. Moscow: Soviet Radio.
The connection is tenuous to Minkowski's problem. Clear reference to the title of this article is required. — Rgdboer (talk) 21:23, 12 July 2019 (UTC)