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[math/0103224] On the Minimum Ropelength of Knots and Links
The ropelength of a knot is the quotient of its length and its thickness, the radius of the largest embedded normal tube around the knot. We prove existence and regularity for ropelength minimizers in any knot or link type; these are C1,1 curves, but need not be smoother. We improve the lower bound for the ropelength of a nontrivial knot, and establish new ropelength bounds for small knots and links, including some which are sharp.
knot-theory  optimization  rather-interesting  feature-construction  geometry  engineering-design  nudge-targets  consider:approximation 
18 hours ago by Vaguery
Updated Mail vacuuming script -
Mail Vacuuming script that I first posted in 2012. It’s an AppleScript that performs the simple task of optimizing the database that uses for all of your messages, speeding up load and search times.
mail  mac  app  application  speed  fast  slow  increase  performance  search  optimize  optimization  macos  improve 
yesterday by ebouchut

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