Filomat 2023 Volume 37, Issue 6, Pages: 1701-1712
https://doi.org/10.2298/FIL2306701V
Full text ( 1006 KB)
Visualization of spheres in the generalized Hahn space
Veličković Vesna I. (Department of Computer Science, Faculty of Sciences and Mathematics, University of Niš, Niš, Serbia), vesna@pmf.ni.ac.rs
Dolićanin Edin (Department of Technical Science, State University of Novi Pazar, Serbia)
We introduce the generalized Hahn space hd(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 hd(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.
Keywords: Visualizations, Shapes of spheres, Generalized Hahn sequence space, Visibility and contour
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