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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 4, Pages 87–92
(Mi timm644)
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Moving object and observer in a Banach space
V. I. Berdyshev Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
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
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
Linking options:
https://www.mathnet.ru/eng/timm644 https://www.mathnet.ru/eng/timm/v16/i4/p87
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