Let G be a simply connected semisimple group over C. We show that a certain involution of an open subset of the affine Grassmannian of G, defined previously by Achar and the author, corresponds to the action of the nontrivial Weyl group element of SL(2) on the framed moduli space of Gmequivariant principal G-bundles on P. As a result, the fixed-point set of the involution can be partitioned int...

We present a free, Java-based library named “AraNLP” that covers various Arabic text preprocessing tools. Although a good number of tools for processing Arabic text already exist, integration and compatibility problems continually occur. AraNLP is an attempt to gather most of the vital Arabic text preprocessing tools into one library that can be accessed easily by integrating or accurately adap...

In this paper it is proven that if the group of covering translations of the covering space of a compact, connected, P-irreducible 3-manifold corresponding to a non-trivial, finitely-generated subgroup of its fundamental group is infinite, then either the covering space is almost compact or the subgroup is infinite cyclic and has normalizer a non-finitely-generated subgroup of the rational numb...

Let Γ be a nonelementary Kleinian group and H<Γ finitely generated, proper subgroup. We prove that if has finite covolume, then the profinite completions of H are not isomorphic. If index in Γ, there is onto which maps but does not. These results streamline existing proofs exist full-sized groups profinitely rigid absolute sense. They build on circle ideas can used to distinguish among subgroup...

esophageal squamous cell carcinoma (escc) is a deadly cancer with poor prognosis. in this regard, early diagnosis is of vital importance to cure the tumor in its early stages. novel cancer diagnostic and therapeutic approaches have been recently introduced based on micrornas (mirnas). also, accurate normalization using appropriate reference genes is a critical step in mirna expression studies. ...

With the recent technological advances, biological datasets, often represented by networks (i.e., graphs) of interacting entities, proliferate with unprecedented complexity and heterogeneity. Although modern network science opens new frontiers analyzing connectivity patterns in such we still lack data-driven methods for extracting an integral connectional fingerprint a multi-view graph populati...

Let 1 → (K, K1) → (G, NG(K1)) → (Q, Q1) → 1 be a short exact sequence of pairs of finitely generated groups with K strongly hyperbolic relative to the subgroup K1. Let relative hyperbolic boundary of K with respect to K1 contains atleast three distinct parabolic end points and for all g ∈ G there exists k ∈ K such that gK1g −1 = kK1k , then we prove that there exists a quasi-isometric section s...

In this study, the problem of shallow parsing of Hindi-English code-mixed social media text (CSMT) has been addressed. We have annotated the data, developed a language identifier, a normalizer, a part-of-speech tagger and a shallow parser. To the best of our knowledge, we are the first to attempt shallow parsing on CSMT. The pipeline developed has been made available to the research community w...

This is a continuation of [16] where the complete diagram of metric normalizers of the fundamental groupG= ⊗ in Isom H will be determined (Table 2). Thus we completely classify the symmetry groups N/G of the 3− surface, i.e. the connected sum of 3 projective planes, into 12 normalizer classes, up to topological equivariance, by the algorithm for fundamental domains, developed in [9], [10], [11]...

This paper describes our attempt to build a sentiment analysis system for Indonesian tweets. With this system, we can study and identify sentiments and opinions in a text or document computationally. We used four thousand manually labeled tweets collected in February and March 2016 to build the model. Because of the variety of content in tweets, we analyze tweets into eight groups in total, inc...