Canonical and Involutory Transformations of Variational Problems Involving Higher Derivatives

Publication 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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On the Use of a Bayesian Reasoning in Safety and Reliability Decisions - Three Examples

Publication Date Feb 13, 1979 by Kaplan S., Garrick B.J.

Bayes' theorem is used to quantify the impact of "new evidence" in three energy-related decision problems. the first problem concerns the risk of radioactivity release during the railroad transport of spent nuclear fuel. this history of shipments thus far is shown to make it highly unlikely that the frequency of release is on the order of 103 or greater per shipment.

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