G-Frames in Hilbert spaces are a redundant set of operators which yield a representation for each vector in the space. In this paper we investigate the connection between g-frames, g-orthonormal bases and g-Riesz bases. We show that a family of bounded operators is a g-Bessel sequences if and only if the Gram matrix associated to its denes a bounded operator.

In this century, one of the major public health problems is Antimicrobial resistance (AMR). It threatens effective treatment and prevention an ever-increasing range infections caused by bacteria, viruses, parasites, fungi which are no longer susceptible to common medicines used treat them so it leads prolonged hospital stays, high medical costs, increased mortality rate. recent years issue has ...

In order to obtain the set of codewords of minimal support of codes defined over Zq we must compute a Graver basis of the ideal associated to such codes, see [9]. The main aim of this article is to reduce the complexity of the previous algorithm taking advantage of the powerful decomposition theory for linear codes provided by the decomposition theory of representable matroids over finite field...

The clinical significance of such a commonplace symptom as hoarseness is very frequently underestimated , firstly and chiefly, owing to the fact that hoarseness so commonly accompanies transient catarrhal affections of the throat and chest that neither doctor nor patient regards it as otherwise than a temporary inconvenience ; and secondly, because when the graver causes of hoarseness have been...

Melanoma involving the conjunctiva is extremely rare. Graver prognosis has been reported with primary conjunctival melanoma than with their cutaneous counterparts [Collin et al.: Aust N Z J Ophthalmol 1986;14:29-34]. Among conjunctival melanomas, two significant risk factors for tumour-related death have been identified: (i) age older than 55 years and (ii) unfavourable tumour location (caruncl...

'Congenital laryngeal stridor' is merely a clinical description, and although perhaps 90 % of stridors in young babies are due to an exaggerated pattern of infantile larynx, which rectifies itself with increasing age, it is not safe to assume that this is the cause of the stridor. There are other conditions causing laryngeal stridor in young babies, sometimes from birth, which are graver than t...