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Mathematics of classical mechanics, including Hamiltonian mechanics, Lagrangian mechanics, applications of symplectic geometry to mechanics, deterministic chaos, resonance etc.

14 votes
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Orthogonal mud cracks and Maxwell's reciprocal figures

Is the following physical argument "intuitive" enough? Mud is a mixture of soil and water, and as it dries, the proportion of water decreases. As this occurs, the mud would like to contract relativ …
j.c.'s user avatar
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16 votes
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Do bubbles between plates approximate Voronoi diagrams?

There are two nice connections to generalizations of Voronoi diagrams that I'm aware of. Moukarzel showed that 2D soap bubbles are sectional multiplicative Voronoi partition (SMVP), i.e. 2D slices …
j.c.'s user avatar
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