Set Theory and Logic

    

Formalizing Mechanical Analysis Using Sweeping Net Methods

Authors: Parker Emmerson

We present a formal mechanical analysis using sweeping net methods to approximate surfacingsingularities of saddle maps. By constructing densified sweeping subnets for individual vertices and integrating them, we create a comprehensive approximation of singularities. This approach utilizes geometric concepts, analytical methods, and theorems that demonstrate the robustness and stabilityof the nets under perturbations. Through detailed proofs and visualizations, we provide a new perspective on singularities and their approximations in analytic geometry.

Comments: 12 Pages.

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Submission history

[v1] 2024-10-15 23:40:43

Unique-IP document downloads: 248 times

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