We show that the dimer algebra of a connected Postnikov diagram in disc is bimodule internally 3-Calabi-Yau sense author's earlier work. As consequence, we obtain an additive categorification cluster associated to diagram, which (after inverting frozen variables) isomorphic homogeneous coordinate ring positroid variety Grassmannian by recent result Galashin and Lam. our can be realised as full ...

As part of our radial velocity survey of low Galactic latitude structures that surround the Galactic disc, we report the detection of the so called Monoceros Ring in the foreground of the Carina dwarf galaxy at Galactic coordinates (l, b) = (260◦,−22◦) based on VLT/FLAMES observations of the dwarf galaxy. At this location, 20 degrees in longitude greater than previous detections, the Ring has a...

Proteins SpoIIQ and SpoIIIAH interact through two membranes to connect the forespore and the mother cell during endospore development in the bacterium Bacillus subtilis. SpoIIIAH consists of a transmembrane segment and an extracellular domain with similarity to YscJ proteins. YscJ proteins form large multimeric rings that are the structural scaffolds for the assembly of type III secretion syste...

The critical points of the length function on the free loop space Λ(M) of a compact Riemannian manifold M are the closed geodesics on M. The length function gives a filtration of the homology of Λ(M) and we show that the Chas-Sullivan product Hi(Λ)×Hj(Λ) ∗ Hi+j−n(Λ) is compatible with this filtration. We obtain a very simple expression for the associated graded homology ring GrH∗(Λ(M)) when all...

The article describes essential parts of a prototype system for machine aided translation from Norwegian-Bokmal to Norwegian-Nynorsk. The central parts of the system are a bilingual word list, inflection paradigms, phrases, and routines to deal with compound words. There are also synt2ictic and semantic rules, but they can be considered as preliminary. The article also includes a simple compari...

Compatible Hamiltonian pairs play a crucial role in the structure theory of integrable systems. In this paper we consider the question of how much of the structure given by compatibility is bound to the situation of hamiltonian dynamic systems and how much of that can be transferred to a complete abstract situation where the algebraic structures under consideration are given by bilinear maps on...

Let OK be a complete discrete valuation ring of mixed characteristic (0, p) with perfect residue field. From the semi-stable conjecture (Cst) and the theory of slopes, we obtain isomorphisms between the maximal unramified quotients of certain Tate twists of p-adic étale cohomology groups and the cohomology groups of logarithmic Hodge-Witt sheaves for a proper semi-stable scheme over OK . The ob...

An efficient, eco-compatible diversity-oriented synthesis (DOS) approach for the generation of library of sugar embedded macrocyclic compounds with various ring size containing 1,2,3-triazole has been developed. This concise strategy involves the iterative use of readily available sugar-derived alkyne/azide-alkene building blocks coupled through copper catalyzed azide-alkyne cycloaddition (CuAA...

where E`n denotes the group of `-torsion points of E. The Galois group GK = Gal(K̄/K) acts continuously on T` and therefore on V`. In a series of works ([5], [6], [8], [9]), Serre investigated the image, Γ`, of GK in GL(V`). If E has complex multiplication over C, Γ` is contained in a Cartan subgroup of GL(V`) (resp. the normalizer of a Cartan) if K contains (resp. does not contain) the endomorp...