Let $A$ be a $C^*$-algebra and $E$ be a left Hilbert $A$-module. In this paper we define a product on $E$ that making it into a Banach algebra and show that under the certain conditions $E$  is Arens regular. We also study the relationship between derivations of $A$ and $E$.

The notion of $k$-frames was recently introduced by Gu avruc ta in Hilbert  spaces to study atomic systems with respect to a bounded linear operator. A continuous frame is a family of vectors in a Hilbert space which allows reproductions of arbitrary elements by continuous super positions. In this manuscript, we construct a continuous $k$-frame, so called c$k$-frame along with an atomic system ...

A caracterização morfológica de uma espécie contribui para melhor identificação dos morfotipos, além subsidiar a produção alimentos, condimentos fitoterápicos e estéticos. No gênero Copaifera, dentre as diferentes espécies, Copaifera reticulata Ducke possui morfotipos que necessitam ser caracterizados serem aproveitados conservados. Nesse sentido, o trabalho teve por objetivo identificar caract...

I discuss recent progress in developing and exploiting connections between SAT algorithms and circuit lower bounds. The centrepiece of the article is Williams’ proof that NEXP * ACC0, which proceeds via a new algorithm for ACC0-SAT beating brute-force search. His result exploits a formal connection from non-trivial SAT algorithms to circuit lower bounds. I also discuss various connections in th...

The influence of carboxy methyl cellulose (CMC) and guargum-based coatings containing silver nanoparticles was studied on the postharvest storage stability of the kinnow mandarin (Citrus reticulata cv. Blanco) for a period of 120 days (85%-90% relative humidity) at 4 °C and 10 °C. Physicochemical and microbiological qualities were monitored after every 15 days of storage. Overall results reveal...

The West Bekaa region of Lebanon is mostly an agricultural land where traditional herbal medicine is a common practice. Many medicinal applications are especially attributed to the Citrus aurantium plant mainly used in the food and drink industry. In this work, the essential oil of Citrus aurantium is studied in an attempt to find an explanation for the different medical applications of this pl...

Mabberley, D.J. (Rijksherbarium, University of Leiden, Netherlands and Royal Botanic Gardens, Sydney NSW 2000, Australia) 1997. A classification for edible Citrus (Rutaceae). Telopea 7(2): 167–172. A workable Linnaean classification, taking into account recent chemotaxonomic advances, is proposed for edible citrus fruits currently referred to the genus Citrus. They are accommodated in three spe...

This study was carried out to find the effects of water-soluble vitamin C and fat-soluble E on growth both guppies, Poecilia reticulata (Peters, 1860), a kind live-bearing species. The control feed did not contain vitamins E, while other 15 experimental feeds were prepared by changing amount starch, without altering chemical structure, adding (100, 500, 1000 mg/kg) (75, 150, 300 in various leve...

The study was undertaken to envisage the effect of growth regulators on preharvest fruit drop and quality of Kinnow mandrin (Citrus reticulata Blanco). Various concentration of 2, 4-D, GA3 and NAA were applied during the last week of November, 2005 to check the impact of various treatments on preharvest fruit drop, yield and fruit quality. Exogenous application of growth regulators significantl...