We present new results which show that if given any closed curve on the boundary, we know the area of the area-minimizing surface bounded by the curve, then one may uniquely determine the metric. In ...

A simple closed curve is a continuous curve that doesn’t intersect with itself and ends at the same point where it started. Some examples of simple closed curves are shapes represented by ...

Let f be a function analytic in a multiply connected region, D, containing the simple closed contour C. Approximations to the contour integral of f around C by weighted sums of function values are ...

The illustration shows a sculpture – Embrace – by Bosch, where a simple closed curve separates two regions, represented by metals of different colours. Bosch solved a TSP problem with 726 ...

First stated by Camille Jordan in 1887, the Jordan Curve Theorem says that any simple closed curve in a plane divides the plane into two disjoint regions (inside and outside of the curve).

Edge is a simple closed curve. 4. Edge is knotted. ONE-SIDED, TWO-EDGED 5. Both edges are simple closed curves, unlinked. 6. Both edges are simple closed curves, linked. 7. Both edges are knotted ...