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Mrs. Perkins's Electric Quilt by Paul J. Nahin

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One Last Random Walk

Two roads diverged in a yellow wood, And sorry I could not travel both. … ….

Two roads diverged in a wood, and I— I took the one less traveled by, And that has made all the difference. — Robert Frost, “The Road Not Taken” (1915)

17.1 Resistor Mathematics

In this discussion I’ll show you a remarkable connection between random walks and electrical resistor networks. It is, at first glance, all too easy to dismiss the mathematics of resistors as trivial, but that would be a very big mistake. To set the stage for the rest of this discussion, then, let me immediately give you an example of the not so obvious ability of resistors ...

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