Sine-Generated Curves: Theoretical and Empirical Notes

Dean Hathout^{*}

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References

[1] Leopold, L.B. and Langbein, W.B. (1966) River Meanders. Scientific American, 214, 60-70.

http://dx.doi.org/10.1038/scientificamerican0666-60

[2] Langbein, W.B. and Leopold, L.B. (1966) River Meanders: Theory of Minimum Variance. US Geological Survey Professional Paper 422-H.

[3] Adam, J. (2006) Mathematics in Nature: Modeling Patterns in the Natural World. Princeton University Press, Princeton.

[4] Movshovitz-Hadar, N. and Shmukler, A. (2006) River Meandering and a Mathematical Model of this Phenomenon. Physica Plus, 7, 1-23.

[5] Von Schelling, H. (1951) Most Frequent Particle Paths in a Plane. Transactions American Geophysical Union, 32, 222-226.

http://dx.doi.org/10.1029/TR032i002p00222

[6] Arfken, G.B., Weber, H.J. and Harris, F.E. (2013) Mathematical Methods for Physicists. Elsevier Press, Oxford.

[7] Nahin, P.J. (2007) When Least Is Best. Princeton University Press, Princeton.