On the relevance of the differential expressions f²+f'², f+f" and f f"- f'² for the geometrical and mechanical properties of curves

2011/02/08 by James B. Cooper, James Bell Cooper, Cooper, James Bell · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Analysis Techniques #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1102.1579

arxiv created 2011/02/08 · openalex publication_date 2011/02/08 · arxiv updated 2011/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a unified approach to known and new properties of curves by showing the ubiquity of the expressions in the title in the analytic treatment of their mechanical and geometric properties

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