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Simplest application of Picard-Lindelöf in the sciences
I am teaching single-variable real analysis and I want to give the students a concrete example of application of the Picard--Lindelöf theorem for a first-order ODE
$$
\frac{dx}{dt}=f(t,x),$$
where $t$ ...
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perfect lens: expression for interface
Suppose I want to find a function $(x,z) \mapsto y((x^2+z^2)^{1/2})$ which must represent the interface between two translucent media with different refractive index and which must yield a perfect ...
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