where PQ denotes the polynomial multiplication (convolution). For given n this is an optimization problem in 2n unknowns with polynomials P,Q of degree n− 1. Denote the global minimum by μn. We have a very efficient algorithm to compute an upper bound for μn, and we strongly believe that our approximations are very close to the true minimum. The challenge is to compute rigorous lower bounds for...

Hantaviruses are carried by numerous rodent species throughout the world. In 1993, a previously unknown group of hantaviruses emerged in the United States as the cause of an acute respiratory disease now termed hantavirus pulmonary syndrome (HPS). Before than, hantaviruses were known as the etiologic agents of hemorrhagic fever with renal syndrome, a disease that occurs almost entirely in the E...

Time does not obviously appear amongst the coordinates on the constrained phase space of general relativity in the Hamiltonian formulation. Recent work in finite-dimensional models claims that topological obstructions generically make the global definition of time impossible. It is shown here that a time coordinate can be globally defined on a constrained phase space by patching together local ...

where PQ denotes the polynomial multiplication (convolution). For given n this is an optimization problem in 2n unknowns with polynomials P,Q of degree n− 1. Denote the global minimum by μn. We have a very efficient algorithm to compute an upper bound for μn, and we strongly believe that our approximations are very close to the true minimum. The challenge is to compute rigorous lower bounds for...