Metric and ultrametric spaces of resistances
Metric and ultrametric spaces of resistances
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DOI：
10.1070/rm1987v042n06abeh001494
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发表时间：
1987
影响因子：
0.9
通讯作者：
A D Gvishiani;V A Gurvich
中科院分区：
文献类型：
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作者：
A D Gvishiani;V A Gurvich
1. 我们考虑具有指数电导率定律的两端电路。引入了阻力的概念，并根据不同指数值的传输问题给出了它的解释。给出了确保电阻满足公制和超公制不等式的条件。因此，电阻可以被视为电路端子之间的距离。 [2] 和 [3] 中考虑了计算电路的一般问题及其与流程优化的联系 [1]。在本说明中，我们使用[3]中介绍的概念和符号。
1. We consider two-terminal circuits with an exponential conductivity law. The concept of resistance is introduced and its interpretation given in terms of transport problems for various values of the exponent. Conditions are given that ensure that the resistances satisfy the metric and ultrametric inequalities. Thus the resistance may be regarded as the distance between the terminals of the circuit. The general problem of computing circuits and its connection with optimization of flows [ 1 ] is considered in [2] and [3]. In this note we use the concepts and notations introduced in [3].