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[Untitled]
- Source :
- Journal of Mathematical Analysis and Applications.
-
Abstract
- For compact subsets E of the unit disk D we study the capacity of the condenser ( D , E ) by means of set functionals defined in terms of hyperbolic geometry. In particular, we study experimentally the case of a hyperbolic triangle and arrive at the conjecture that of all triangles with the same hyperbolic area, the equilateral triangle has the least capacity.
- Subjects :
- Mathematics::Dynamical Systems
Conjecture
Applied Mathematics
Hyperbolic geometry
010102 general mathematics
Mathematical analysis
Computer Science::Computational Geometry
Equilateral triangle
Mathematics::Geometric Topology
01 natural sciences
Unit disk
010101 applied mathematics
Set (abstract data type)
0101 mathematics
Isoperimetric inequality
Condenser (heat transfer)
Hyperbolic triangle
Analysis
Mathematics
Subjects
Details
- ISSN :
- 0022247X
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Analysis and Applications
- Accession number :
- edsair.doi...........311964a8a23309df5fd9281dd3432085