We partially describe minimal, first-order structures which have a strong form of the strict order property. An infinite first-order structure is minimal if its each definable (possibly with parameters) subset is either finite or co-finite. It is strongly minimal if the minimality is preserved in elementarily equivalent structures. While strongly minimal structures were investigated more closel...

Delta-lysin is a linear, 26-residue peptide that adopts an alpha-helical, amphipathic structure upon binding to membranes. Delta-lysin preferentially binds to mammalian cell membranes, the outer leaflets of which are enriched in sphingomyelin, cholesterol, and unsaturated phosphatidylcholine. Mixtures including these lipids have been shown to exhibit separation between liquid-disordered (l(d)) ...

An extension of the global convergence framework for unconstrained derivative free optimization methods is presented. The extension makes it possible for the framework to include optimization methods with varying cardinality of the ordered direction set. Grid-based search methods are shown to be a special case of the more general extended global convergence framework. Furthermore, the required ...

To overcome the curses of dimensionality and modeling dynamic programming methods to solve Markov decision process problems, reinforcement learning (RL) are adopted in practice. Contrary traditional RL algorithms, which do not consider structural properties optimal policy, we propose a structur...

We derive analytic bounds on the convergence factors associated with block relaxation methods for solving the discrete two-dimensional convection-diiusion equation. The analysis applies to the reduced systems derived when one step of block Gaussian elimination is performed on red-black ordered two-cyclic discretizations. We consider the case where centered nite diierence discretiza-tion is used...