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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 4, Pages 87–92 (Mi timm644)  
Moving object and observer in a Banach space

V. I. Berdyshev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
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Abstract: For a moving object and an observer in a smooth strictly convex Banach space, a function characterizing the visibility of the object to the observer is introduced. The position of the observer is given inaccurately. The differentiability property of this function is investigated; in the case of a finite-dimensional space, an expression is found for the derivative in any direction. The visibility characteristic for a group of observers is studied.
Keywords: navigation of a moving object, characterization of the visibility of an object, directional differentiability.
Received: 01.03.2010
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 273, Issue 1, Pages S68–S73
DOI: https://doi.org/10.1134/S0081543811050075
Bibliographic databases:
Document Type: Article
UDC: 517.62
Language: Russian
Citation: V. I. Berdyshev, “Moving object and observer in a Banach space”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 4, 2010, 87–92; Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S68–S73
Citation in format AMSBIB
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\pages 87--92
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