ABSTRACT. We show that the only possible isolated points in the spectrum of a conservative triangular matrix are its diagonal elements, and that any Hausdorff method corresponding to an absolutely continuous mass function is in the norm closure of the analytic methods.
Human teeth show a large number of morphological variations and cuspal variations are one among them. A parastyle is a paramolar cusp that appears on the buccal surface of the maxillary molars. The exact cause of occurrence of parastyle is not clear but primarily it is found to be polygenetic in origin with some environmental influence. It is found to be rare in occurrence with prevalence of 0-0.1% in first molars, 0.4-2.8% in the upper second molar, and 0-4.7% in the maxillary third molars. Various dental problems like caries, sensitivity, interference with cementation of brackets, bands gingivitis, have been found to be associated with these extra cusps. These morphological findings are important for anthropologist and forensic experts. Few case reports are there in literature. The present article mentions the four cases of this rare morphologic variation.
All the trees of the graph are not important, but spanning trees have a special significance in the analysis of networks and systems. The simplest of the prototype methods is based on incidence matrix. Two new approaches have been proposed in this paper, which makes use of few other matrices used to represent topology of the network graph. Some optimisation techniques are also developed to reduce the number of calculations and computer time as well. Comparison is made between prototype and proposed methods using programs developed in MATLAB. Efficiency of the proposed method is proved with a simple case study.
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