Continuous Functional Calculus for Quaternionic Bounded Normal Operators

In this article we give an approach to define continuous functional calculus for bounded quaternionic normal operators defined on a right quaternionic Hilbert space.Comment: Submitted to a journal. There was a gap in the previous version. We have corrected it and stated all the results for bounded cas

On the polar decomposition of right linear operators in quaternionic Hilbert spaces

In this article we prove the existence of the polar decomposition for densely defined closed right linear operators in quaternionic Hilbert spaces: If $T$ is a densely defined closed right linear operator in a quaternionic Hilbert space $H$, then there exists a partial isometry $U_{0}$ such that $T = U_{0}|T|$. In fact $U_{0}$ is unique if $N(U_{0}) = N(T)$. In particular, if $H$ is separable and $U$ is a partial isometry with $T = U|T|$, then we prove that $U = U_{0}$ if and only if either $N(T) = \{0\}$ or $R(T)^{\bot} = \{0\}$.Comment: 17 page

Comparison of Different Multilevel Converter Strategy for Induction Motor Drive Application

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Automatic Detection of Eye Cataracts and Disease Classification Using Hybrid Techniques

Medical image analysis is the most demanding technology now days. The proposed system performs automatic cataract from the digital eye image and retinal fundus images. The proposed system has developed a new technique with a set of algorithms. Currently, methods available for cataract detection are only based on certain features, but medical images may have heterogeneous feature set; the main motive behind this work is to develop less iterative, effective multi-feature based eye image analysis and cataract detection from the color images of eye and retinal fundus images. An algorithm is proposed for Cataract Screening based on the retinal features, veins, blood vessels, and artery. These features are used to analyze and classify the eye into specific class. To achieve this set of algorithms have proposed. The proposed system performs the pre-processing step initially, and then the feature selection from the preprocessed images is then initially classified using the Kernel Hyper Support Vector Machine (KHSVM). The results from the KHSVM, the effective features are applied into the modified genetic algorithm named as IIGA (Iterative Intensity Genetic Algorithm); this performs a new type of gene selection from the KHSVM features. Instead of selecting the random features, the proposed system gets the features from the KHSVM result. The proposed system achieves better results than the existing works. The proposed system is implemented in Matlab tool with several eye images. The experimented result shows the proposed system achieved better detection than the existing techniques

Scanning electron microscope studies on the radula teeth of four species of marine gastropods from the Gulf of Mannar, India

In this study scanning electron microscopy (SEM) was used to elucidate the surface morphology of radula teeth of four species of marine gastropods belonging to muricids and tonnoideans from the Gulf of Mannar. The species studied were Tonna dolium (Linne, 1758), Phalium glaucum (Linne, 1758), Murex virgineus (Roding, 1798) and Rapana rapiformis (Born, 1778). The radulae of muricid gastropods were of stenoglossan type (1+R+1) while the radulae of tonnoidean gastropods were of taenioglossate type (2+1+R+1+2). Very large radula and solid teeth in all four species indicate that they are well adapted to capture of prey and showed characteristic representation of the sharp and pointed apex. The shafts of the teeth of R. rapiformis, T. dolium and M virgeneus are thickened and expanded at the base to form a butt and the basal spur as well as their marginal and central teeth are sickle shaped. Radulae of both groups are well suited for tearing and rasping. The examination of the central tooth, the lateral and marginal ones, by SEM provides further information for species differentiation

A Study On The Number Of Edges Of Some Families Of Graphs And Generalized Mersenne Numbers

The relationship between the Nandu sequence of the SM family of graphs and the generalized Mersenne numbers is demonstrated in this study. The sequences obtained from the  peculiar number of edges   of SM family of  graphs are known as Nandu sequences. Nandu sequences are related to the two families of SM sum graphs and SM balancing graphs. The SM sum graphs are established from the inherent relationship between powers of 2 and natural numbers, whereas the SM balancing graphs are linked to the balanced ternary number system.  In addition, some unusual prime numbers are discovered in this paper. These prime numbers  best suit as an alternate for the Mersenne primes in the case of the  public key cryptosystem

Analysis of Mechanical Properties of Hybrid Burmese Silk Orchid and Glass Fibers Composite Material

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