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Singular limit in the optimized effective potential with finite basis sets
Singular limit optimized effective potential finite basis sets
2011/8/19
Abstract: Most finite-basis set implementations of the optimized effective potential (OEP) method leave the potential undetermined, when the auxiliary basis set for the potential is sufficiently large...
Stochastic theory of large-scale enzyme-reaction networks: Finite copy number corrections to rate equation models
Stochastic theory large-scale enzyme-reaction networks Finite copy number corrections
2011/8/18
Abstract: Chemical reactions inside cells occur in compartment volumes in the range of atto- to femtolitres. Physiological concentrations realized in such small volumes imply low copy numbers of inter...
On Polynomial Functions Over Finite Commutative Rings
Polynomial function Finite commutative local ring Generalized Witt polynomial
2007/12/12
Let $R$ be an arbitrary finite commutative local ring. In this paper, we obtain a necessary and sufficient condition for a function over $R$ to be a polynomial function. Before this paper, necessary a...