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Some Examples to Show that Objects be Presented by Mathematical Equations
Graph, Equation Visible and Invisible Object
2013/1/30
We have often heard remarks such as “We can plot graphs from the mathematical equations”, including equations of lines, equations of curves, and equations of invisible and visible objects. Actually, w...
Supports of Weighted Equilibrium Measures and Examples
Weighted Pluripotential Theory Extremal Measures
2011/1/17
We analyze the supports of weighted equilibrium measures in Cn. We give explicit examples of families of compact sets which arise as the support of a weighted equilibrium measure for some admissible w...
Multi-component generalizations of the {CH} equation: Geometrical Aspects, Peakons and Numerical Examples
Multi-component generalizations {CH} equation Geometrical Aspects Peakons Numerical Examples
2010/12/16
The Lax pair formulation of the two-component Camassa-Holm equation (CH2) is generalized to produce an integrable multi-component family, CH(n,k), of equations with n components and 1 jkj n veloci...