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학술저널

SOME GEOMETRIC INEQUALITIES OF MATHEMATICAL CONDUCTANCE

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Let D0;D1 ½ Rn be non-empty sets and let ¡ be the family of all closed curves which join D0 to D1. In this note, we introduce the concept of the mathematical conductance C(¡) of a curve family ¡ and examine some basic properties of mathematical conductance. And we obtain the inequalities in connection with capacity of condensers.

1. Introduction

2. Mathematical conductance

3. Capacity of condensers

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