Generalization of distance to higher dimensional objects

Details Generalization of distance to higher dimensional objects Generalization of distance to higher dimensional objects

2008-03-02

arxiv.org/abs/0803.0102v1

PNAS.2007; 104: 14899-14904

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

The measurement of distance between two objects is generalized to the case where the objects are no longer points but are one-dimensional. Additional concepts such as non-extensibility, curvature constraints, and non-crossing become central to the notion of distance. Analytical and numerical results are given for some specific examples, and applications to biopolymers are discussed.

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