The external and internal surfaces of the PDL may be presented with the circular
hyperboloid or paraboloid
Determination of the critical pressure on the shell outlined on the surface of the
hyperboloid of one sheet.
In the far-field case the
hyperboloid, which is the locus of points that generates the same TDOA to a microphone pair, can be approximated with the cone whose vertex is located at the midpoint of the array.
where c and k are the parameters of the
hyperboloid equation and k > 2 is a constant.
[88] designed a 3-D concentrator and coined the Square elliptical
hyperboloid (SEH) to be integrated in either glazing windows or facades for photovoltaic application.
Reynolds, "Hyperbolic geometry on a
hyperboloid," The American Mathematical Monthly, vol.
An open problem proposes a mathematical task for researchers to derive a formula for the volume of a pyramid whose base is a slice of a
hyperboloid surface.
In particular, we will focus on the surfaces of an ellipsoid, a
hyperboloid of two sheets and a paraboloid.