0 → π + π − π 0 feasibility studies
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Theoretical study of the effects of substituent and quadrupole moment on π-π stacking interactions with coronene
Stability of the π-π stacking interactions in the Ben||substituted-coronene and HFBen||substituted-coronene complexes was studied using the computational quantum chemistry methods (where Ben and HFBen are benzene and hexaflourobenzene, || denotes π-π stacking interaction, substituted-coronene is coronene molecule which substituted with four X groups, and X= NH2, CH3, OH, H, F, CF3, CN and NO). ...
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A π,z J(z) = lim t>0,t→0 e −αt E z,π [J(z(t))] − J(z) t Lemma 1. Let J ∈ J satisfy J(0, a, b) = 0. Let τ = inf{t : J(z t) = 0}. E τ 0 e −αt e −π(z)/r a b π(z) + A π,z J(z) dt = J π (z 0) − J(z 0) Proof: Define H π J(z) = e −π(z)/r a b π(z) + A π,z J(z) Lemma 6 later verifies that this definition is in agreement with our previous definition (in [2]) provided J ∈ J. Let τ be a stopping time of th...
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Consider the problem stated at the beginning of section 4.5, which involves choosing the distribution of posteriors F that maximizes (1 − α) 1 0 w(π) 1 − π 1 − π0 dF (π) expected surplus claimed by L +α 1 0 w(π) π π0 dF (π) expected surplus claimed by H −c 1 0 w(π) π π0 − 1 − π 1 − π0 dF (π) gap between expected surplus claimed by L and H 1 0 w(π) π π 0 − 1 − π 1 − π 0 dF (π) ≤ C(¯ m|L). To mak...
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