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By Boyer Ch. P.

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Notice that the intrinsic order of the points determines a natural orientation so that one and only one disk of a given radius is defined by two points. If the radius is infinite, the circular hull of L is a part of the convex hull of L. As a consequence, the circular hull is easily computed with an online and linear-time algorithm in the style of the Graham’s scan thanks to the intrinsic order of the points. In order to solve Problems 2, 3 and 4, the constrained disks separating B(Ci Cj ) ¯ (C C ) have to be computed.

Following the work of [Lorenz, 1963], it was found that atmospheric processes being inherently nonlinear can lead to what is now known as chaos meaning that a small perturbation to the system can lead to dramatic changes in a finite time. This idea has sparked a lot of interest in mathematics which resulted in significant advances in research on dynamical systems [Guckenheimer and Holmes, 1983]. The chaotic nature of the atmosphere is reflected in studies on predictability which led to the developement of ensemble prediction and probabilistic forecasting.

51. Cambridge University Press, Cambridge (1981)*(Second edition, London Math. Soc. Lecture Notes Series, vol. 333. Cambridge University Press, Cambridge (2006)) 3. : A combinatorial theory of connections. In: Gray, J. ) Mathematical Applications of Category Theory, Proceedings 1983. , vol. 30, pp. 132–144 (1984) 4. : Introduction to Synthetic Differential Geometry, and a Synthetic Theory of Dislocations. , Schanuel, S. ) Categories in Continuum Physics, Proceedings Buffalo 1982. Springer Lecture Notes, vol.

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