Geodesic
Moving object and observer in a~Banach space
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 4, pp. 87-92

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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. 
@article{TIMM_2010_16_4_a8,
     author = {V. I. Berdyshev},
     title = {Moving object and observer in {a~Banach} space},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {87--92},
     publisher = {mathdoc},
     volume = {16},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2010_16_4_a8/}
}
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V. I. Berdyshev. Moving object and observer in a~Banach space. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 4, pp. 87-92. http://geodesic.mathdoc.fr/item/TIMM_2010_16_4_a8/