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By Devi Shakuntala

A set of numerical and mathematical curiosities and tips with numbers, through the world's quickest (according to the "Guinness publication of files) human calculator. A mathematical prodigy because the age of 3, the writer travels the realm giving exhibitions of her powers.

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Figure 4e. See caption - Figure 4a. 0 Figure 4f. See caption - Figure 4a. 36 Figure 4g. QxlO" Figure 4h. See caption - Figure 4a. 38 Instability of Finite-Amplitude Interfacial Waves 39 longer wave instability is when the low wavenumber component becomes dominant. The appearance of this type of instability is abrupt as one increases H. To our knowledge, it is the first reported example of a nonlinear mode jumping phenomenon caused by finite amplitude effects.

1982) , 331. McLean, J. W. , Ma, Y. C , Martin, D. U. , Saffman, P. G. and Yuen, H. , Three-dimensional instability of finite amplitude water waves, Physical Review Letts. 46 (1981), 817. Saffman, P. , Finite amplitude interfacial waves (this Volume) (1982). Saffman, P. G. and Yuen, H. , A new type of threedimensional deep-water wave of permanent form, Journ. Fluid Mech. 101 (1981), 797. Saffman, P. G. and Yuen, H. , Finite amplitude interfacial waves in presence of a current, Journ. Fluid Mech.

Math. J^, 323. 7. 8. 9. 10. 51 Korteweg, D. J. and G. de Vries, 1895, Phil. Mag. 39, 422. Nayfeh, A. , 1970, J. Fluid Mech. _40, 671. 11. Schwartz, L. W. -M. Vanden-Broeck, 1979, J. Fluid Mech. 95_, 119. 12. Stokes, G. , 1847, Trans. Camb. Phil. Soc. J3, 441. 13. Stokes, G. , 1880, Mathematical and Physical Papers, vol. 1, p. 314, Cambridge University Press. -M. and M. C. Shen, 1982, (to appear). -M. and L. W. Schwartz, 1979, Phys. Fluids 22j 1868. Whitham, G. , 1974, Linear and Nonlinear Waves, New York, Wiley.

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