We give an explicit proof for the locality of staggered overlap operators. The covers original two flavor construction by Adams as well a single version. As in case Neuberger's operator, admissibility condition gauge fields is required.

Let $$\mathcal {G}$$ be a locally compact étale groupoid and $$\mathscr {L}(L^2(\mathcal {G}))$$ the $$C^*$$ -algebra of adjointable operators on Hilbert -module $$L^2(\mathcal {G})$$ . In this paper, we discover notion called quasi-locality for in , generalising metric space case introduced by Roe. Our main result shows that when is additionally $$\sigma $$ -compact amenable, an equivariant op...

Reducing data communication over memory is one of the main current engineering challenges. To achieve this, optimization done solely at the application level is no longer sufficient. Holistic design-space exploration is necessary to evaluate the suitability of hardware architectures for a given application. Furthermore, a software-hardware co-design is needed to be able to leverage the inherent...

The classification of the carabid subtribe Tachyina (Trechitae: Bembidiini) is reviewed in light of newly discovered diversity from Central and South America. Described herein are three new genera (Tachyxystagen. n., Stigmatachysgen. n., Nothoderisgen. n.), two new subgenera of Meotachys (Scolistichussubgen. n., Hylotachyssubgen. n.), and two new subgenera of Elaphropus (Ammotachyssubgen. n., I...

Whether the distance between the filler and the gap increases or decreases the difficulty for comprehenders has always been subject to debate. Locality theory claims that the greater the distance between the filler and the gap, the more difficult it is. However, anti-locality theory predicts that the greater the distance, the easier it is. This study examined whether it was the position of the ...