广义哈恩空间中球的可视化

Pub Date : 2023-01-01 DOI:10.2298/fil2306701v

Vesna Veličković, E. Dolicanin

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引用次数: 0

摘要

引入了广义Hahn空间hd(p)，证明了它是一个完全仿形空间。我们用三?在维度空间中赋予hd(p)的相对仿形，解决了这些球体的可见性和轮廓性问题。此外，我们还使用我们自己的线条图形软件来可视化这些球体的部分形状。最后，我们证明了参数d和p的变化对球体形状的影响。

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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 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.

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