An upper bound on the growth rate of disturbances in three-layer Hele-Shaw flows with the middle layer having a smooth viscous profile is obtained using a weak formulation of the disturbance equations. A recently reported approach for the derivation of this bound is tedious, cumbersome, and requires numerical analysis. In contrast, the present approach is very simple, elegant, and requires no n...

We show for the first time that a weak perturbation in a Hamiltonian system may lead to an arbitrarily wide chaotic layer and fast chaotic transport. This generic effect occurs in any spatially periodic Hamiltonian system subject to a sufficiently slow ac force. We explain it and develop an explicit theory for the layer width, verified in simulations. Chaotic spatial transport as well as applic...

The title compound, C(7)H(4)Br(2)O(2), exhibits a layer packing structure via weak π-π stacking inter-actions [centroid-centroid distances between adjacent aromatic rings are 4.040 (8) and 3.776 (7) Å]. Mol-ecules in each layer are linked by inter-molecular O-H⋯O hydrogen bonding and Br⋯Br inter-actions [3.772 (4) Å]. There are two mol-ecules in the asymmetric unit.

Self-healing systems tackle the issue of ever increasing complexity of software and its management. Selfhealing systems provide solutions for the software systems to manage themselves and recover from errors. There are multiple approaches to self-healing systems ranging from agent based solutions to frameworks. The self-healing process is usually enclosed into a separate layer or components in ...

For small involutive and integral quantaloids Q it is shown that covariant presheaves on symmetric Q-categories are equivalent to certain subalgebras of a speci c monad on the category of symmetric Q-categories. This construction is related to a weakening of the subobject classi er axiom which does not require the classi cation of all subalgebras, but only guarantees that classi able subalgebra...

Few-layer graphene has attracted tremendous attention owing to its exceptional electronic properties inherited from single-layer graphene and new features led by introducing extra freedoms such as interlayer stacking sequences or rotations. Effectively probing interlayer shear modes are critical for unravelling mechanical and electrical properties of few-layer graphene and further developing it...

We studied the first-order diffractedmoiré fringes of transparent multilayered structures comprised of irregularly deformed periodic patterns. By a comparison study of the diffractedmoiré fringe pattern and detailed microscopy of the structure, we show that the diffractedmoiré fringe can be used as a nondestructive tool to analyze the alignment of multilayered structures. We demonstrate the ali...

We study the frictional drag due to Coulomb and phonon mediated electron–electron interaction in a double layer electron system exposed to a perpendicular magnetic field. We calculate the transresistivity as a function of magnetic field, temperature, and inter-layer spacing L: We find the strikingly different magnetic field and temperature dependence of the transresistivity for L 1⁄4 30 and 200...

We extend the standard boosting procedure to train a two-layer classifier dedicated to handwritten character recognition. The scheme we propose relies on a hidden layer which extracts feature vectors on a fixed number of points of interest, and an output layer which combines those feature vectors and the point of interest locations into a final classification decision. Our main contribution is ...

In this paper, we address the question of the hyperbolicity and the local wellposedness of the two-layer shallow water model, with free surface, in two dimensions. We first provide a general criterion that proves the symmetrizability of this model, which implies hyperbolicity and local well-posedness in Hs(R2), with s > 2. Then, we analyze rigorously the eigenstructure associated to this model ...