We describe a new family of 3-dimensional bodies constant width that we have called peabodies, obtained from the Reuleaux tetrahedron by replacing small neighborhood all six edges with sections an envelope spheres. This contains, in particular, two Meissner solids and body tetrahedral symmetry Robert’s body. Behind construction this lies classical notion confocal quadrics discussed, for example...

We introduce a new class of time-continuous recurrent neural network models. Instead declaring learning system's dynamics by implicit nonlinearities, we construct networks linear first-order dynamical systems modulated via nonlinear interlinked gates. The resulting models represent with varying (i.e., liquid) time-constants coupled to their hidden state, outputs being computed numerical differe...

We investigate a single field model in the context of constant-roll inflation which inflaton moves down to minimum point potential with constant rate rolling. use quintessential inflationary obtained by Lorentzian function is dependent on number e-folds. present analysis for and find observational constraints parameters space using observations CMB anisotropies i.e. Planck Keck/array datasets. ...