There are multiple sorts of reasoning by analogy between two domains; the one with which we are concerned is a type of contextual analogy. The purpose of this paper is to see whether two domains that look analogous would be…

We prove that the scale map of the zero-crossings of almost all signals filtered by the second derivative of a gaussian of variable size determines the signal uniquely, up to a constant scaling and a harmonic function. Our proof provides…

We wish to design a diagnostic for a device from knowledge of its structure and function. the diagnostic should achieve both coverage of the faults that can occur in the device, and should strive to achieve specificity in its diagnosis…