A Proposed Method for the Determination of the Standard Free Energy of Formation of a Double Oxide by a Mass Spectrometer
A Proposed Method for the Determination of the Standard Free Energy of Formation of a Double Oxide by a Mass Spectrometer

Author: J. Smiltens

Publisher:

Published: 1965

Total Pages: 12

ISBN-13:

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An equation for determination of the standard free energy of formation of a double oxide by means of a mass spectrometer has been derived. The quantities required by the equation are (1) the ratio of the intensities of an ion and (2) the ratio of the oxygen pressures at two equilibriums involving the double oxide and the constituent oxides. (Author).

Feasible Control Computations Using Dynamic Programming
Feasible Control Computations Using Dynamic Programming

Author: Stephen J. Kahne

Publisher:

Published: 1965

Total Pages: 30

ISBN-13:

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The application of Bellman's dynamic programming technique to realistic control problems has generally been precluded by excessive storage requirements inherent in the method. In this paper, the notion of state mobility is described and shown to be valuable in reducing certain classes of dynamic programming calculations to manageable size. The scheme requires one simple calculation at each stage of the process. IN many cases even this calculation may be omitted. It results in the reduction of the range of allowable state variables to be scanned. The amount of reduction varies from problem to problem. A simple example exhibits a fifty percent reduction. This corresponds to a fifty percent reduction in storage requirements for the problem. Reductions of one or two orders of magnitude appear possible for certain classes of problems.

Theory of Continuous Zone Refining Via the Zone-transport Method
Theory of Continuous Zone Refining Via the Zone-transport Method

Author: John K. Kennedy

Publisher:

Published: 1964

Total Pages: 22

ISBN-13:

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This paper explains the differences and the reasons for the differences which exist between the theory of the zone-transport system of continuous zone refining as presented by W. G. Pfann and T. Abe. The identity between the mathematical model used to describe the zone-transport system and one of the models used to describe the recently reported matter-transport system is noted. Nondimensional equations for the zone-transport system are presented and the difference between the limit of alpha in the zone-void and zonetransport systems, when L sub e = 0, is correlated. (Author).