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Rational Unfoldings of ± X k and their relation with geometric equilibrium theory by Willem Kuyk; Lieven Smits is a Mathematics article available to read on EtoBox.

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In this paper, two theorems determine the locus B ('buoyancy locus') of the centre of gravity of the displaced water of a ship with any number of 2n sides, as a function of the arbitrary continuous curves that make up those sides, and that generalize the classical wall-sided case (n = 1). Although the theorems may have interest from the pure geometrical point of view, they have been obtained with a view to simulate processes in biology that, in analogy to the self-righting of ships, are self-regulating, such as the neural control of body heat and the servo-control of the heart rate.

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Author

Willem Kuyk; Lieven Smits

Publisher

Springer Netherlands; Springer-Verlag; Springer Science and Business Media LLC; Society for Mining, Metallurgy and Exploration Inc. (ISSN 0167-8019)

Published

1990

Language

EN

Field

Mathematics (Physical Sciences)