It is widely believed that certain simple modifications of the random graph process lead to discontinuous phase transitions. In particular, starting with the empty graph on n vertices, suppose that at each step two pairs of vertices are chosen uniformly at random, but only one pair is joined, namely one minimizing the product of the sizes of the components to be joined. Making explicit an earli...

In this paper, we present a new and innovative sheet material folding technology and the associated advances in folding different patterns using continuous manufacturing techniques. A novel approach is developed for the continuous folding process where sheet material is progressively folded in two dimensions, through a set of rollers, followed by a configured roller for the final folding in the...

30 Process improvements to streamline contracting processes are often not undertaken because of the misconception that federal and agency-specific acquisition regulations are impediments. That misconception results from a desire to maintain acquisition integrity through the application of sometimes stringent standards and detailed processes, even when regulations and directives provide guidance...