There is no pointwise consistent quasicontinuum energy

There is no pointwise consistent quasicontinuum energy

Much work has gone into the construction of quasicontinuum energies that reduce the coupling error along the interface between atomistic and continuum regions. The largest consistency errors are typically pointwise O( 1 ε ) errors, and in some cases this has been reduced to pointwise O(1) errors. In this paper we show that one cannot create a coupling method using a finite-range coupling interf...

There is no lexicon!

0. Introduction Within generative linguistics, underlying representations have been a sine qua non. Such representations have been thought to encode what is unpredictable or not governed by rules. Within Optimality Theory (henceforth OT), even though the rules are virtually gone, this view continues. The function GEN and EVAL pair an underlying representation with an optimal output. I argue aga...

There is no Parkinson disease.

The term Parkinson disease defines a specific clinical condition characterized by a typical history and characteristic signs. This review examines the historical evolution of the concept of Parkinson disease and how the misunderstanding of Parkinson disease may be hindering clinical research trials. It is proposed that this syndrome be called Parkinson diseases or parkinsonism type 1 through in...

There Is No Dividing Line

Where there is no overlap, there is a gap.