Euclidean Spaces

  • Dietmar Cieslik
Part of the Combinatorial Optimization book series (COOP, volume 10)

Abstract

Steiner’s Problem is one of the oldest optimization problems in all of mathematics. Originally, it was considered in the Euclidean plane \({M_2}(B(2)) = L_2^2\) where the Euclidean distance between the points v = (x 1, x 2) and v′ = (y l, y 2) is given by
$${({({x_1} - {y_1})^2} + ({x_2} - {y_2})2)^{1/2}}.$$
(6.1)

Keywords

Fermat 

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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Dietmar Cieslik
    • 1
  1. 1.Institute of Mathematics and C.S.University of GreifswaldGermany

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