Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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The explicit Gibbs-Appell equation and generalized inverse forms


Authors: F. E. Udwadia and R. E. Kalaba
Journal: Quart. Appl. Math. 56 (1998), 277-288
MSC: Primary 70F25; Secondary 70H35
DOI: https://doi.org/10.1090/qam/1622570
MathSciNet review: MR1622570
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Abstract | References | Similar Articles | Additional Information

Abstract: This paper develops an extended form of the Gibbs-Appell equation and shows that it is equivalent to the generalized inverse equation of motion. Both equations are shown to follow from Gauss's principle. An example to highlight the two equivalent, though different, equations of motion is provided. Conceptual differences between the equations, and differences in their practical application to physical situations are discussed.


References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/1622570
Article copyright: © Copyright 1998 American Mathematical Society


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