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...

Health disparities (HD) continue to persist in the United States which underscores the importance of using low-cost, accessible, evidence-based strategies that can improve health outcomes, especially for chronic conditions that are prevalent among underserved minority populations. Complementary/integrative health modalities, particularly self-administered mind-body practices (MBP), can be extre...

......................................................................................................... 4 1. BACKGROUND .................................................................................................. 8 2. TERMS OF REFERENCE ...................................................................................... 9 3. GUIDANCE ON SAFETY EVALUATION OF NANOMATERIALS USED IN MEDIC...

BACKGROUND Rapid reviews expedite the knowledge synthesis process with the goal of providing timely information to healthcare decision-makers who want to use evidence-informed policy and practice approaches. A range of opinions and viewpoints on rapid reviews is thought to exist; however, no research to date has formally captured these views. This paper aims to explore evidence producer and kno...

Long-term outcome studies are frequently hindered by a decreasing frequency of patient follow-up with the treating surgeon over time. Whether this attrition represents a "loss of faith" in their index surgeon or the realities of a geographically mobile society has never been assessed in a population of patients undergoing spinal surgery. The purpose of this article is to determine the frequency...

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 ...