Notes from Mackay (Q.)

Mackay Antisymmetry Space Groups

By using the antisymmetry characteristic method implemented in computer programs written in Mathematica 4, from 230 space symmetry groups are derived 1191 Mackay groups of the type M1, 5005 groups of the type M2, 19467 groups of the type M3, 72587 groups of the type M4, 191728 groups of the type M5, and 598752 groups of the type M6. Mackay groups are the minimal representation of Zamorzaev’s mu...

Trudy Mackay

smoking, or by a combination of the three, and to pack them into barrels for transport. The cod and its relatives hake and haddock, were a different matter and more easily preserved than herring. The pursuit of cod took fishermen much further away. A huge industry developed, centred on Bergen, where ships exchanged dried fish for grain. Archaeological excavations in the Norwegian Lofoten Island...

Melting of Mackay icosahedral gold clusters from molecular dynamics simulations

Molecular dynamics simulations show that liquid gold clusters with about 500 5000 atoms crystalize to a Mackay icosahedron upon a certain cooling procedure. Detailed surface analysis shows that the facets of the Mackay icosahedral gold clusters do not premelt, but that the surface softens below the bulk melting temperature. We owe this softening to the increasing mobility of vertex and edge ato...

Notes on q - ary Interleaved Sequences ?

A sequence u over a nite eld Fq is called an (f(x); m)-interleaved sequence 1] if f(x) is a common characteristic polynomial of all its m-decimated sequences. This paper demonstrate how the subjects such as the minimal polynomial, the linear span, the period and the correlation values of an (f(x); m)-interleaved sequence are related to its m-decimated sequences when f(x) is irreducible, and mak...

Notes on Hilbert’s Tenth Problem over Q