European Union Litigation

This article provides an overview of cases decided by the Court of Justice of the European Union concerning contract law. The present issue covers the period between the beginning of February and the end of June 2019

On linear programming duality and necessary and sufficient conditions in minimax theory

In this paper we discuss necessary and sufficient conditions for different minimax results to hold using only linear programming duality and the finite intersection property of compact sets. It turns out that these necessary and sufficient conditions have a clear interpretation within zero-sum game theory. In the last section we apply these results to derive necessary and sufficient conditions for strong Lagrangean duality for a large class of optimization problems

Ab initio multiplet plus cumulant approach for correlation effects in x-ray photoelectron spectroscopy

The treatment of electronic correlations in open-shell systems is among the most challenging problems of condensed matter theory. Current approximations are only partly successful. Ligand field multiplet theory (LFMT) has been widely successful in describing intra-atomic correlation effects in x-ray spectra, but typically ignores itinerant states. The cumulant expansion for the one electron Greens function has been successful in describing shake-up effects but ignores atomic multiplets. More complete methods, such as dynamic mean-field theory can be computationally problematic. Here we show that separating the dynamic Coulomb interactions into local and longer-range parts with ab initio parameters yields a combined multiplet plus cumulant approach that accounts for both local atomic multiplets and satellite excitations. The approach is illustrated in transition metal oxides and explains the multiplet peaks, charge-transfer satellites and distributed background features observed in XPS experiment

Стресспротекторы в коррекции воспаления слизистой оболочки полости рта

На основе данных литературы показан стрессовый характер воспалительных заболеваний слизистой оболочки полости рта и целесообразность включения в их комплексную терапию стресспротекторов.На основі даних літератури показано стресовий характер запальних захворювань слизової оболонки ротової порожнини та доцільність включення до їх комплексної терапії стреспротекторів.Based on the literature data, stress character of inflammatory diseases of the oral cavity and expediency to include in their therapy stress-protectors are shown