Study of Reasonable Hanging Roof Length on Hard Roof

Roof Rats

Retractable roof structures

j This paper presents a new concept for retractable roof structures. The new structures consist of a foldable lattice of beams connected by cylindrical joints, to which covering panels or membranes are attached. These structures fold towards their perimeter and there is practically no limit to their shape. Solutions to the key problems that have to be solved in the course of the kinematic desig...

Generalized roof duality

The roof dual bound for quadratic unconstrained binary optimization is the basis for several methods for efficiently computing the solution to many hard combinatorial problems. It works by constructing the tightest possible lower-bounding submodular function, and instead of minimizing the original objective function, the relaxation is minimized. However, for higher-order problems the technique ...

Percolating under one roof

Many different concepts of percolation exist for networks. We show that bond percolation, site percolation, k-core percolation, and bootstrap percolation are all special cases of the Watts Threshold model. We show that the “heterogeneous k-core” and a corresponding heterogeneous bootstrap model are equivalent to one another and the Watts Threshold Model. A more recent model of a “Generalized Ep...

Under one roof

Our recently published data demonstrate significant similarities between normal and malignant plasma cells in the cellular and molecular interactions that support their survival in the bone marrow microenvironment, and suggest that the biology of multiple myeloma may largely reflect that of their normal counterparts.