In this note we construct a series of small subsets containing a nond-th power element in a finite field by applying certain bounds on incomplete character sums. Precisely, let h = ⌊qδ⌋ > 1 and d | qh − 1. Let r be a prime divisor of q− 1 such that the largest prime power part of q − 1 has the form rs. Then there is a constant 0 < ǫ < 1 such that for a ratio at least q−ǫh of α ∈ Fqh\Fq, the set...

Objective: The main route of entry SARS-CoV-2 which responsible COVID-19 is through the nasal, oral, or conjunctival mucosa and droplets aerosols transmit virus. Even if transmission fomites considered unlikely, hand hygiene important to minimize this other infections, especially in certain scenarios as healthcare facilities crowded places public transport social events. Material methods: In st...

Despite observational evidence for cold neutral astrophysical accretion disks, the viscous process which may drive the accretion in such systems is not yet understood. While molecular viscosity is too small to explain the observed accretion efficiencies by more than ten orders of magnitude, the absence of any linear instability in Keplerian accretion flows is often used to rule out the possibil...

We address the problem of organizing a set T of shared data into the memory modules of a Distributed Memory Machine (DMM) in order to minimize memory access connicts (i.e. memory contention) during read operations. Previous solutions for this problem can be found as fundamental subprocedures of the PRAM simulation methods on DMM presented during the last years. The eeciency of such solutions re...

We present a study of the colors of globular clusters associated with the elliptical galaxy NGC 3923. Our nal sample consists of Washington system C and T1 photometry for 143 globular cluster candidates with an expected contamination of no more than 10%. We nd that the color distribution of the NGC 3923 globular cluster system (GCS) is broad and appears to have at least two peaks. A mixture mod...

An archetypal problem discussed in computer science is the problem of searching for a given number in a given set of numbers. Other than sequential search, the classic solution is to sort the list of numbers and then apply binary search. The binary search problem has a complexity of O(logN) for a list of N numbers while the sorting problem cannot be better than O(N) on any sequential computer f...

Given a line barrier and a set of mobile sensors distributed in the plane, the Minimizing Maximum Sensor Movement problem (MMSM) for line barrier coverage is to compute relocation positions for the sensors in the plane such that the barrier is entirely covered by the monitoring area of the sensors while the maximum relocation movement (distance) is minimized. Its weaker version, decision MMSM i...

ingestion of fish oil fatty acids (omega - 3 fatty acids ) inhibits the formation of arachidonic acid - derived cytokines and leads to production of compounds with diminished biological activity. beneficial effects of dietary supplementation with fish oil in rheumatoid arthritis have been shown in many controlled trials.methods : 43 patients with active rheumatoid arthritis entered in a prospec...

We study the asymptotic behaviour of nonnegative solutions to: ut = pum using an entropy estimate based on a sub-family of the Gagliardo-Nirenberg inequalities – or, in the limit casem = (p 1) 1, on a logarithmic Sobolev inequality inW 1;p – for which optimal functions are known. Diffusions nonlinéaires et constantes optimales dans des inégalités de type Sobolev : comportement asymptotique d’éq...