𝔖 Bobbio Scriptorium
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First principleσ-πenergy separation

✍ Scribed by G. Geudtner; Z. Gómez-Sandoval; F. Janetzko; P. Calaminici

Book ID
105885837
Publisher
Springer
Year
2005
Tongue
English
Weight
160 KB
Volume
114
Category
Article
ISSN
1432-2234

No coin nor oath required. For personal study only.

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We study the proof-theoretic strength of the Π 1 1 -separation axiom scheme, and we show that Π 1 1 -separation lies strictly in between the Δ 1 1 -comprehension and Σ 1 1 -choice axiom schemes over RCA0.

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The 'E+-\*II separation in KO is investigated using large basis sets and high levels of correlation treatment. Relativistic effects are included at the Dirac-Fock level and reduce the separation only slightly. The basis set superposition error is considered in detail. On the basis of these calculati