Visualization of spheres in the generalized Hahn space
Filomat, Tome 37 (2023) no. 6, p. 1701
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We introduce the generalized Hahn space h d (p), which is not normable, and show that it is a totally paranormed space. We develop the parametric representation of parts of spheres in three-dimensional space endowed with the relative paranorm of h d (p) and solve the visibility and contour problems for these spheres. Also we apply our own software in line graphics to visualize the shapes of parts of these spheres. Finally we demonstrate the effects of the change of the parameters d and p on the shape of the spheres.
Classification :
68U07, 46–04, 46A45
Keywords: Visualizations, Shapes of spheres, Generalized Hahn sequence space, Visibility and contour
Keywords: Visualizations, Shapes of spheres, Generalized Hahn sequence space, Visibility and contour
Vesna I Veličković; Edin Dolićanin. Visualization of spheres in the generalized Hahn space. Filomat, Tome 37 (2023) no. 6, p. 1701 . doi: 10.2298/FIL2306701V
@article{10_2298_FIL2306701V,
author = {Vesna I Veli\v{c}kovi\'c and Edin Doli\'canin},
title = {Visualization of spheres in the generalized {Hahn} space},
journal = {Filomat},
pages = {1701 },
year = {2023},
volume = {37},
number = {6},
doi = {10.2298/FIL2306701V},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2306701V/}
}
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