The modular envelope of a cyclic operad is the smallest modular operad containing it. A modular operad is constructed from moduli spaces of Riemann surfaces with boundary; this modular operad is shown to be the modular envelope of the A∞ cyclic operad. This gives a new proof of the result of Harer-Mumford-Thurston-Penner-Kontsevich that a cell complex built from ribbon graphs is homotopy equiva...

1,2-Dithiolane is a promising anchor group for attaching molecules to metal electrodes in molecular junction devices. This five-membered cyclic disulfide adsorbs on Au surfaces either in a cyclic fashion (with its disulfide bond intact, via molecular adsorption) or in an acyclic fashion (with its disulfide bond broken, via dissociative adsorption). Our density functional theory calculations sho...

The modular envelope of a cyclic operad is the smallest modular operad containing it. A modular operad is constructed from moduli spaces of Riemann surfaces with boundary; this modular operad is shown to be the modular envelope of the A∞ cyclic operad. This gives a new proof of the result of Harer-Mumford-Thurston-Penner-Kontsevich that a cell complex built from ribbon graphs is homotopy equiva...

We determine the geometric structures of the families of three variables cubic and quartic cyclic homogeneous inequalities of certain classes. These structures are determined by studying some real algebraic surfaces.

statement of the problem : tooth restorations are exposed to stresses which produce marginal gaps resulting in microleakage. purpose in this study, microleakage of light-cured glass-ionomer and compomer class v restorations was evaluted and compared under cyclic loading materials and methods in this exprimental study, class v cavities were prepared on the buccal surfaces of maxillary premolars ...

The processes of elastoplastic deformation structural materials can consist a sequence monotonous and cyclic loading regimes, in which peculiar effects features arise. Mathematical modeling such processes, as well resource assessment forecasting, is very difficult task. In addition, the analysis transient from to shows need separate these processes. Based on results experimental studies samples...