Two-Scale Convergence of Integral Functionals with Convex, Periodic and Nonstandard Growth Integrands

We study the periodic homogenization for a family of functionals defined on Orlicz-Sobolev spaces. One fundamental in this topic is to extend the classical compactness results of the two-scale convergence method to this type of spaces.     

Solid-Phase Synthesis of 2-Aminotetrahydropyrimidines

2-Aminotetrahydropyrimidines were synthesised on solid-phase via a guanidinium intermediate and subsequent displacement of the tosylate by an imine.     

When does every definable nonempty set have a definable element?

The assertion that every definable set has a definable element is equivalent over $\mathsf{ZF}$ to the principle $\mathbf{V}=\mathbf{HOD}$, and indeed, we prove, so is the assertion merely that every Π₂‐definable set has an ordinal‐definable element. Meanwhile, every model of $\mathsf{ZFC}$ has a forcing extension satisfying $\mathbf{V}\ne \mathbf{HOD}$ in which every Σ₂‐definable set has an ordinal‐definable element. Similar results hold for $\mathbf{HOD}(\mathbb{R})$ and $\mathbf{HOD}({\mathrm{Ord}}^{\omega })$ and other natural instances of $\mathbf{HOD}(X)$.     

Differential evolution with enhanced diversity maintenance

Optimization Letters - Differential evolution (de) is a popular population-based meta-heuristic that has been successfully used in complex optimization problems. Premature convergence is one of the...     

Interplay of thermochemistry and Structural Chemistry,the journal (volume 29, 2018, issues 3–4) and the discipline

The contents of issues 3 and 4 of Structural Chemistry from the calendar year 2018 are summarized in the present review. A brief thermochemical commentary and recommendations for future research have been added to the summary of each paper.