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  3. Branching Solutions To One-dimensional Variational Problems
Branching Solutions To One-dimensional Variational Problems (e-bog) af Alexei Avgustinovich Tuzhilin, Tuzhilin
Alexei Avgustinovich Tuzhilin, Tuzhilin (forfatter)

Branching Solutions To One-dimensional Variational Problems e-bog

509,93 DKK (inkl. moms 637,41 DKK)
This book deals with the new class of one-dimensional variational problems - the problems with branching solutions. Instead of extreme curves (mappings of a segment to a manifold) we investigate extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various applications of the approach are presented, such as several generalizations of the famous Steiner p...
E-bog 509,93 DKK
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Forfattere Alexei Avgustinovich Tuzhilin, Tuzhilin (forfatter)
Forlag World Scientific
Udgivet 17 januar 2001
Længde 364 sider
Genrer PBH
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9789814494335

Beskrivelse

This book deals with the new class of one-dimensional variational problems - the problems with branching solutions. Instead of extreme curves (mappings of a segment to a manifold) we investigate extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various applications of the approach are presented, such as several generalizations of the famous Steiner problem of finding the shortest network spanning given points of the plane.