Visualization of spheres in the generalized Hahn space

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...

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Veröffentlicht in:Filomat 2023, Vol.37 (6), p.1701-1712
Hauptverfasser: Velickovic, Vesna, Dolicanin, Edin
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL2306701V