Kifilideen’s general matrix progression series of infinite terms is the summation of values of a collection of progressive members of the numbers series system. The number series system or set has endless terms where terms are progressive into levels and steps (within level) with increasing members set in successive levels and just one member in the first level. This kind of series is needed in determining the overall value(s) of the collection in the progressive members of the system ...
Abstract Source direction-of-arrival estimation problem has received much attention in recent years following its significant role in array-signal processing and wide range of applications such as radar, wireless communication, sonar, seismology among others. Direction finding has been solved by several techniques such as Maximum likelihood estimator, MUltiple Signal Classification, Estimation of Parameters via Rotational Invariance Technique and Cram´er- Rao bound using array of sensors in...
Abstract Direction-of-arrival (DOA) estimation is an important branch in the field of array signal processing. It can be applied in such fields as wireless communication, sonar, radar, biomedicine, and radio detection. This fact together with the development of the geometries used in the past years is the principal motivation of this research project. Although various studies have focused on the uniform hexagonal array for direction finding, there is scanty use of the uniform hexagonal array...
Abstract/Overview Hepatocellular carcinoma (HCC) is a malignant cancer of the liver arising from uncontrolled multiplication of the abnormal liver cells. It is an ignored public health condition where patients come late to the hospital at terminal stages. Its development is proceeded by liver inflammation arising from the risk factors of HCC affecting the liver. HCC is one of the few cancers with both infectious and non-infectious causes. The common causes range from infections with viral...
Abstract/Overview Liver cancer, also known as hepatocellular carcinoma (HCC) is a primary cancer of the liver and the fifth cause of mortality world-wide. It is a global public health problem which is poorly addressed in the developing countries. Data on prevalence and incidence is scanty leading to inability to predict the burden of HCC in the developing world and this leads to poor policy framework for management and control of HCC. More-over, management and control of HCC is poorly add...
Abstract/Overview It is known that the Hilbert space H is the most rotund space among all Banach spaces. The question whether if a normed space X is a rotund Banach space implies we can obtain other most rotund spaces is still open and represents one of the most interesting and studied problems. In this paper we investigate if there exists other most rotund Banach spaces. It is shown that Frechet spaces are very rotund and also uniformly rotund.
Abstract/Overview The notion of compactness plays an important role in analysis. It has been extensively discussed on both metric and topological spaces. Various properties of compactness have been proved under the underlying spaces. However, if we consider these sets to be from similarity orbits of norm-attainable operators; little has been done to investigate their compactness. In this paper, we introduce the concept of compactness of similarity orbits of norm-attainable operators in as...
Abstract/Overview In this paper we characterize norm-attainable elementary operators, we show that 𝛿 𝑃,𝑄 is norm-attainable if both P and Q are norm-attainable and𝛿𝑃,𝑄 is norm-attainable 𝛿𝑃,𝑄if is normally represented.
Abstract/Overview The notion of dense sets has been extensively discussed on both metric and topological spaces. Various properties of the sets have been proved under the underlying spaces. However, if we consider these sets to be from similarity orbits where a topology has been developed on them, little has been done to investigate their denseness. In this paper, we introduce the concept of denseness of similarity orbits of norm-attainable operators in aspect of generalized sets in topol...
Abstract/Overview In this paper, we characterize the centre of dense irreducible subalgebras of compact elementary operators that are spectrally bounded. We show that the centre is a unital, irreducible and commutative C∗ -subalgebra. Furthermore, the supports from the centre are orthogonal and the intersection of a nonzero ideal with the centre is non-zero.
Abstract/Overview Spectrally bounded compact elementary operators on dense irreducible subalgebras of C ∗ -algebras are characterized. Also, it is shown that left multiplications, right multiplications, generalized derivations and basic elementary operators are spec trally bounded compact elementary operators. Furthermore, several properties of spectrally bounded compact elementary operators such as completeness, convergence, continuity and total boundedness in a general Banach setting ...
Abstract/Overview Population dynamics indicate the changes in size and composition of population through time, as well as biotic and abiotic factors influencing those changes. Predator-prey (PP) relationship with harvesting and functional response involving prey refuge with Holling type I functional response (HTIFR) has been studied with recommendations on their extension to include Holling type II functional response (HTIIFR). There persists a problem in fifinding the numerical solution ...
Abstract/Overview Many studies on preserver problems have been focusing on linear preserver problems in matrix theory. Kadison and Sourour showed that the local derivations of Von Neumann algebras are continous linear maps which coincide with some derivation at each point in the algebra over the field of complex numbers. Most of the studies have been focusing on the spectral norm preserver and rank preserver problems of linear maps on matrix algebras but not on norm preserver problems for...
Abstract/Overview In the present study, the problem of estimation of the finite population mean of a sensitive study variable using the three-stage optional Randomized Response Technique (RRT) model under measurement errors is addressed. A generalized class of estimators is proposed using a mixture of auxiliary attribute and variable. Some members of the proposed generalized class of estimators are identified and studied. The bias and mean square error expressions for the proposed estimat...
Abstract/Overview In this note, we provide detailed characterization of operators in terms of norm-attainability and norm estimates in Banach algebras. In particular, we establish the necessary and sufficient conditions for norm-attainability of the derivations and also give their norm bounds in the norm attainable classes.