Publication Date Jan 31, 1983 by Kaplan S.
A process is described for analyzing failure data in which Bayes' theorem is used twice, firstly to develop a "prior" or "generic" probability distribution and secondly to specialize this distribution to the specific machine or system in question. The process is shown by examples to be workable in practice as well as simple and elegant in concept.
Read MorePublication Date Aug 01, 1980 by Kennedy R.P., Cornell C.A., Campbell R.D., Kaplan S., Perla H.F.
The role of the inductance term in the equations for nerve impulse propagation is investigated by numerically solving these equations for various values of inductance. It is found that a full-fledged action potential develops for all values of inductance. The propagation velocity of the impulse is independent of inductance when the inductance is small. Larger values of inductance do affect the propagation velocity, but in no case is this velocity equal to that suggested by the linear wave operator portion of the governing equation.
Read MorePublication Date Apr 01, 1968 by Kaplan S.
An exposition has been given of the notions of canonical and involutory transformation in the context of variational problems involving second derivatives of the argument function. As a specific illustration the variational problem representing a beam on nonlinear-elastic foundation is discussed.
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