... The "Mulliken" AMMs up to the fourth order were calculated within the scheme developed by Saunders et al. [13] using the B3LYP, Perdew-Wang (PW91), and Perdew-BurkeErnzerhof (PBE) functionals with the 6-21G** basis set (for shortness, noted below basis set 3 or BS3) for all ALPOs, while the ATN and ATO structures were also considered at other levels as STO-3G (BS1), 3-21G (BS2), and 8-511G*(Al)/8-521G*(P)/8411G*(O) (BS4) for comparison. ... No EP convergence with the basis set was observed. ...
Sbornik : Mathematics 201:3 117 Matematicheski Sbornik 201:3 320 i c 2010 RAS(DoM) and LMS DOI 10.1070/SM2010v201n03ABEH004074 Elementary equivalence of Chevalley groups over lo cal rings E. I. Bunina Abstract. It is proved that (elementary) Chevalley groups over local rings with invertible 2 are elementarily equivalent if and only if their types and weight lattices coincide and the initial rings are elementarily equivalent. ... Keywords: Chevalley groups, elementary equivalence, local rings. ...
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