Determinantal hypersurface from a geometric perspective

In this paper, we give a geometric interpretation of determinantal forms, both in the case of general matrices and symmetric matrices. We will prove irreducibility of the determinantal singular loci and state its dimension. We also provide detailed description of the singular locus for small dimensions.

Design of an aerial tramway

An Aerial Tramway is a device for transporting material in receptacles over wire ropes supported at various elevations above the ground by means of posts or standards. Wire rope has been known for many centuries, and there is a drawing of a ropeway appearing in a book dated 1411.