We call these geometries bi-affine geometries. They are of two types, according to whether the point and the hyperplane chosen are incident or not. We also prove that there are just three types of flag-transitive simply connected examples for the rank 4 case of the above diagram, namely ...
Full Abstract Relation Extraction from Biological Texts with Bi-affine Relation Attention Networks This code was used in the paper: Simultaneously Self-attending to All Mentions for Full-Abstract Biological Relation Extraction Patrick Verga , Emma Strubell, and Andrew McCallum. North American Chapter of...
Affine Transformation eines BildsMithilfe der Option Affine Transformation können Sie folgende Aufgaben durchführen Beseitigen von Verzerrungen in Luftaufnahmen, die durch die Neigung des Flugzeugs, Verzerrungen der Kamera oder die Unebenheit des Geländes entstanden sind. Sparen von Kosten ...
In this case, weak compactness of C is equivalent to the G-FPP for the strengthened class of affine mappings that are uniformly bi-Lipschitz. We also introduce a generalized form of property (u), called property (su), and use it to prove that if X has property (su) then either C is...
the two affine Yangians. In this paper we realize a similar (but non- isomorphic) two-parameter gluing construction where the gluing operators transform as ( , ) and ( , ) w.r.t. the two affine Yangians. The corresponding representation space consists of pairs of plane partitions connected ...
As corollaries, we obtain a related factorization result for bi-Lipschitz homeomorphisms of the $d$-sphere, and we show that bi-Lipschitz embeddings of the unit $d$-cube in $\mathbb{R}^d$ can be approximated by global piecewise affine homeomorphisms outside of a small set. 展开 年份: ...
Quasiconformal planes with bi-Lipschitz pieces and extensions of almost affine maps DOI: 10.1016/j.aim.2015.02.008 Jonas Azzam,Matthew Badger,Tatiana Toro Full-Text Cite this paper Add to My Lib Abstract: A quasiplane $f(V)$ is the image of an $n$-dimensional Euclidean subspace $V$ of...
We show that the affine quantum group U-q (<(sl)over cap>(2)) is isomorphic to a bicross-product central extension CZ(chi) [graphics] (q)(Lsl(2)) Of the quantum loop group U-q(Lsl(2)) by a quantum cocycle chi, which we construct. We prove the same result for U-q((g) ...
The model reference adaptive control synthesis problem for affine systems consisting of two subsystems is considered. The reference model specifies the desired state of output subsystem. The speed bi-gradient method to design continuous or sliding mode control algorithms with tunable manifold is proposed...
Bi-affine modelArray perturbationsSparse source localizationNon-uniform spatial sampling geometries, such as nested and coprime arrays, are provably capable of localizing O(M2)O(M2) sources using only M sensors. However, such guarantees require the physical locations of the sensors to satisfy certain...