Published December 26, 2023
| Version v1
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Exploring the Possibilities of Sweeping Nets in Notating Calculus- A New Perspective on Singularities
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Description
The paper proposes a method for approximating surfacing singularities of saddle maps using a sweeping net. The method involves constructing a densified sweeping subnet for each individual vertex of the saddle map, and then combining each subnet to create a complete approximation of the singularities. The authors also define two functions $f_1$ and $f_2$, which are used to calculate the charge density for each subnet. The resulting densified sweeping subnet closely approximates the surfacing saddle map near a circular region.
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Densified Singularity Sweeping Net.zip
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Additional details
Related works
- Is supplemented by
- Journal article: 10.5281/zenodo.8176414 (DOI)
Dates
- Issued
-
2023-12-25