We determine lower bounds for the number of random vectors in GF (q), chosen uniformly from vectors having k non-zero co-ordinates, needed to obtain a dependent set over GF (q).

Let F be a totally real field, and v a place of F dividing an odd prime p. We study the weight part of Serre’s conjecture for continuous totally odd representations ρ : GF → GL2(Fp) that are reducible locally at v. Let W be the set of predicted Serre weights for the semisimplification of ρ|GFv . We prove that when ρ|GFv is generic, the Serre weights inW for which ρ is modular are exactly the on...

A novel Grammatical Genetic Algorithm, the meta-Grammar Genetic Algorithm (mGGA) is presented. The mGGA borrows a grammatical representation and the ideas of modularity and reuse from Genetic Programming, and in particular an evolvable grammar representation from Grammatical Evolution by Grammatical Evolution. We demonstrate its application to a number of benchmark problems where significant pe...

Following the usage-based model, construction grammar assumes co-existence of different inventories, it allows for constructions beyond clause level, and embraces many types meaning including discourse-functional meanings. It is thus well-suited to investigate relationship between genre on one hand possible sub-grammars other. In current paper, we discuss these relationships based a multimodal ...

The purpose of the present study is to analyse abstracts related to Applied Linguistics, and more precisely the discourse functions of grammatical subjects and verbs. The corpus consisted of 50 PhD thesis abstracts written on the subject of Applied Linguistics. All of the abstracts were written from 2010 to 2014. The theses from which the abstracts were extracted are available in the ProQuest d...

The purpose of this study was to investigate the relationship between students‘ explicit knowledge in grammar and their translation ability. The importance of grammatical knowledge and its effectiveness in translation quality motivated the researcher to run this study and consider grammatical knowledge in Per- sian as the source language of Iranian students. It is clear that grammar is an area ...

In this note, it is proved that the necessary and sufficient conditions for the existence of a balanced (q, {3, 4}, λ)-DF over GF (q) are q ≥ 4 and q ≡ 1 (mod 18 gcd(18,λ) ).