Generalized Steiner's Problem and its Solution with the Concepts in Field Thoery
arXiv:math/0105004
Abstract
We generalized the Steiner's shortest line problem and found its connection with the concepts in classical field theory. We solved the generalized Steiner's problem by introducing a conservative potential and a dissipative force in the field and gave a computing method by using a testing point and a corresponding iterative curve.
3 pages, LaTex, briefly written