For compact subsets E of the unit disk D we study capacity condenser (D,E) by means set functionals defined in terms hyperbolic geometry. In particular, experimentally case a triangle and arrive at conjecture that all triangles with same area, equilateral has least capacity.

We study the conformal capacity by using novel computational algorithms based on implementations of fast multipole method, and analytic techniques. Especially, we apply domain functionals to capacities condensers $(G,E)$ where $G$ is a simply connected in complex plane $E$ compact subset $G$. Due invariance, our main tools are hyperbolic geometry such as perimeter $E$. Our experiments demonstra...

is in use, the oil connection is easily broken by movement of the mechanical stage, instead of traveling freely with it as happens in using the bevel top. Furthermore, any rapid downward movement of the condenser in focusing, often, and under some conditions usually, br6aks the ifim at one side with the sucking in of a large bubble of air which is then trapped above the lens in the pocket forme...