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LONGUEUR G [1 record]

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Record 1 2000-08-29

English

Subject field(s)
  • Mathematics
CONT

Fractal length-area relation. To pinpoint the argument, consider a collection of geometrically similar islands with fractal coastlines of dimension D>1. The standard ratio (length)/(area)1/2 is infinite in this context, but I propose to show it has a useful fractal counterpart. We denote as G-length the coast length measured with a yardstick length of G, and as G-area the island area measured in units of G2.

Key term(s)
  • G-area

French

Domaine(s)
  • Mathématiques

Spanish

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