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

Details 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 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

2011-02-08

arxiv.org/abs/1102.1579v1

Physics

Mathematical Physics

Scientific paper

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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