On the relevance of the differential expressions $f^2+f'^2$, $f+f"$ and $f f"- f'^2$ for the geometrical and mechanical properties of curves
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
- Publication:
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arXiv e-prints
- Pub Date:
- February 2011
- DOI:
- 10.48550/arXiv.1102.1579
- arXiv:
- arXiv:1102.1579
- Bibcode:
- 2011arXiv1102.1579B
- Keywords:
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- Mathematical Physics