序域上的有效阻抗
Effective Impedance over Ordered Fields
摘要：
本文研究了有限电网络的有效阻抗的性质，并计算了序域上有限梯形网络的有效阻抗。此外，我们考虑两个特殊的例子无限梯形网络（费曼网络或LC-网络和CL-网络，都有零的无穷大）作为网络上的有序列维-奇维塔领域。证明了有限LC-网络的有效阻抗在Levi-Civita域的序拓扑中收敛到极限，而有限CL-网络的有效阻抗在同一拓扑中不收敛.
英文摘要：
In this paper, we study properties of effective impedance of finite electrical networks and calculate the effective impedance of a finite ladder network over an ordered field. Moreover, we consider two particular examples of infinite ladder networks (Feynman's network or LC-network and CL-network, both with zero on infinity) as networks over the ordered Levi-Civita field. We show, that effective impedances of finite LC-networks converge to the limit in order topology of Levi-Civita field, but the effective impedances of finite CL-networks do not converge in the same topology.
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