𝔖 Bobbio Scriptorium
✦   LIBER   ✦

INSCRIPTIONS FOR THEODORE O'HARA'S TOMB

✍ Scribed by Mrs. Jennie C. Morton


Book ID
123947314
Year
1913
Weight
165 KB
Volume
11
Category
Article
ISSN
2328-8183

No coin nor oath required. For personal study only.


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## Abstract We develop a precise analysis of J. O’Hara’s knot functionals __E__^(α)^, α ∈ [2, 3), that serve as self‐repulsive potentials on (knotted) closed curves. First we derive continuity of __E__^(α)^ on injective and regular __H__^2^ curves and then we establish Fréchet differentiability of