Let D be the open unit disc in the complex plane, and let C be the unit circle. Given a convex curve Γ in D ∪ C, internally tangent to C at one point, then a sequence on Γ, successive points of which ...

This is a preview. Log in through your library . Abstract Let f be a real convex function defined near $0^+, f(0) = f'(0) = 0, f > 0$ otherwise. The family of curves ...

Directing acoustic waves along curved paths is critical for applications such as ultrasound imaging, surgery and acoustic cloaking. Metamaterials can direct waves by spatially varying the material ...