Distributional radius of curvature | Zendy

Estrada Ricardo | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Distributional radius of curvature

Author(s) -

Estrada Ricardo

Publication year - 2005

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.692

Subject(s) - curvature , radius , mathematics , path (computing) , radius of curvature , center of curvature , geometry , translation (biology) , dirac delta function , plane (geometry) , function (biology) , facet (psychology) , mathematical analysis , mean curvature , sectional curvature , scalar curvature , programming language , personality , messenger rna , gene , computer security , chemistry , computer science , biology , psychology , social psychology , biochemistry , evolutionary biology , big five personality traits

We show that any continuous plane path that turns to the left has a well‐defined distribution that corresponds to the radius of curvature of smooth paths. We show that the distributional radius of curvature determines the path uniquely except for a translation. We show that Dirac delta contributions in the radius of curvature correspond to facets, that is, flat sections of the path, and show how a path can be deformed into a facet by letting the radius of curvature approach a delta function. Copyright © 2005 John Wiley & Sons, Ltd.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research