Jammu and Kashmir Academy of Art, Culture and Languages
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Duality in mathematical programming.
In this thesis entitled, “Duality in Mathematical Programming”, the emphasis is given on formulation and conceptualization of the concepts of second-order duality, second-order mixed duality, second-order symmetric duality in a variety of nondifferentiable nonlinear programming under suitable second-order convexity/second-order invexity and generalized second-order convexity / generalized second-order invexity. Throughout the thesis nondifferentiablity occurs due to square root function and support functions. A support function which is more general than square root of a positive definite quadratic form. This thesis also addresses second-order duality in variational problems under suitable second-order invexity/secondorder generalized invexity. The duality results obtained for the variational problems are shown to be a dynamic generalization for thesis of nonlinear programming problem.Digital copy of Thesis.University of Kashmir
Islami aur Maghribi Tehzeeb ki Kashmukash Fiqr-e-Iqbal ki roshni mein aik tehqeeqi mutalah.
Digital copy of Thesis.University of Kashmir
Laplacian energy of graphs and digraphs.
Spectral graph theory (Algebraic graph theory) which emerged in 1950s and 1960s is the study of properties of a graph in relationship to the characteristic polynomial, eigenvalues and eigenvectors of matrices associated to the graph. The major source of research in spectral graph theory has been the study of relationship between the structural and spectral properties of graphs. Another source has research in quantum chemistry. Just as astronomers study stellar spectra to determine the make-up of distant stars, one of the main goals in spectral graph theory is to deduce the principal properties and structure of a graph from its graph spectrum (or from a short list of easily computable invariants). The spectral approach for general graphs is a step in this direction.Digital copy of Thesis.University of Kashmir
On some contributions to size-biased probability distributions.
Statistical distributions and models are used in many applied areas such as economics, engineering, social, health and biological sciences. In this era of inexpensive and faster personnel computers, practitioners of statistics and scientists in various disciplines have no difficulty in fitting a probability model to describe the distributions of a real-life data set. Traditional enviromentric theory and practice have been occupied with randomization and replication. But in environmental and ecological work, observations also fall in the non-experimental, non-replicated and non-random catogries.The problems of model specification and data interpretation then acquire special importance and great concern. The theory of weighted distributions provides a unifying approach for these problems. Weighted distributions take into account the method of ascertainment, by adjusting the probabilities of actual occurrence of events to arrive at a specification of the probabilities of those events as observed and recorded. Failure to make such adjustments can lead to incorrect conclusions. The weighted distributions arise when the observations generated from a stochastic process are not given equal chance of being recorded; instead they are recorded according to some weight function. When the weight function depends on the lengths of the units of interest, the resulting distribution is called length biased. More generally, when the sampling mechanism selects units with probability proportional to some measure of the unit size, resulting distribution is called size-biased. Size-biased distributions are a special case of the more general form known as weighted distributions. These distributions arise in practice when observations from a sample are recorded with unequal probability. In Bayesian Statistics, the posterior distribution summarizes the current state of knowledge about all the uncertain quantities including unobservable parameters. In this thesis, the efforts have been made to study the areas.Digital copy of Ph.D thesisUniverity of Kashmir
Mathematical estimation of thermal stress on human body.
Mathematics is playing an important role in physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in applied mathematics. Mathematical Biology is one of the modern branches of applied mathematics and deals with the study of medicines and life sciences that use mathematical models to help, predict and interpret what so ever we observe. In this thesis we have described some mathematical models applicable to understand the thermal behaviour of biological tissues. The models are related to the study of thermal stress on human tissues especially on skin and its underlying layers, and brain and its overlying layers. Most of the models in this thesis have been solved by variational finite element method due to the irregular geometry of the structure of tissues.Digital copy of Ph.D thesis.University of Kashmir
Copyright in music- an analysis of emerging legal trends.
Technological innovations have always influenced the ways in which music is made and consumed in societies. Now that music has entered the digital realm a new revolution is underway. The near perfect duplication facilitated by digital technology in conspiracy with the ease of exchange provided by the Internet threaten to render copyright law into a redundant relic, while at the same time changing the way in which millions across the globe listen to music. A new music culture has been born –driven by technology advances, hindered only by copyright law.
The combination of the Internet and digital technology presents copyright law with what has been described as a digital dilemma. The availability of digital music in the form of MP3s has allowed for songs and albums to be easily compressed into manageable digital file sizes while maintaining very high audio fidelity. Millions of individuals across the world have created MP3s by „ripping‟ music albums into digital files of this format and made them available to others in cyberspace. Millions of others have searched for and downloaded these tracks without having to go a bricks –and –mortar retail establishment and purchase them on CD, and have shared them widely through online transfers and by burning them on recordable CDs.3Digital copy of Ph.D thesis.University of Kashmir
Use of web resources by research scholars in select institutes of J&K and Delhi.
Web resources are fast becoming mainstay for sharing of intellectual output throughout the globe with little limitations and numerous benefits that surpasses all mediums of communication of scholarly content known to world so far. The study has made a strenuous effort to know the awareness, use and acceptability of web resources among research community of select institutes in Jammu & Kashmir and Delhi. The present study is spread over five chapters and three appendices discussing various facets of the theme.Digital copy of ThesisUniversity of Kashmi
Zero-Divisor graphs of rings and related results.
Digital copy of Thesis.University of Kashmir
Studies on the histochemistry of Paramphistomes of sheep and cattle.
Sheep and cattle constitute one of the premier economic group, providing animal protein which is indispensable in regular staple
diet of common man in our country, especially in native state of Jammu and Kashmir. The present study, which deals with the histochemistry of Paramphistomes of sheep and cattle, was undertaken from January 2004 to January 2007. Since there has been no detailed study on the histochemistry of helminths particularly Paramphistomes in Kashmir valley, the present study is a step towards bridging the gap. Sheep and cattle like other animals develop diseases due to variety of parasitic infections, resulting in huge economic losses. Fascioliasis and Paramphistomiasis rank high in significance of helminth diseases of sheep and cattle because they cause heavy mortality and morbidity in young cattle and sheep. Various species of Paramphistomes such as Paramphistomum cervi, Paramphistomum microbothrium, Paramphistomum skrajabini, Cotylophoron cotylophorum, Gastrothylax crumenifer and Gigantocotyle explanatum have been incriminated as aetiological agents of Paramphistomiasis. In order to develop various control measures to these helminths we should have a clear understanding of host parasite relationship and a thorough understanding of the host parasite relationship cannot be realized until a careful study is made on the biochemical nature of the parasite and its host. Histochemical study helps us to investigate qualitatively the biochemical pattern of different tissues in cellular architecture. The present work demonstrated the presence of general proteins, glycogen, lipids, cholinesterase, acid phosphatase, alkaline phosphatase and calcium in Cotylophoron cotylophorum collected from cattle in comparison with Paramphistomum cervi collected from sheep.Digital copy of Thesis.University of Kashmir
Toxocariasis in Kashmir epidemiology, pathogenesis and immunological studies in human population.
Toxocara canis and Toxocara cati, roundworms of dogs and cats are probably the most common gastrointestinal helminthes of domestic canids and felids. First described in late seventeenth century Toxocara has been found to infect dogs, cats and mice. The larvae of Toxocara canis have been reported in different organs like intestine, liver, lungs, kidneys, skeletal muscles and nervous tissue of rat and mice (Taylor and Holland, 2001). The prevalence of the infection throughout the world shows different infection rates of Toxocara canis in dogs; it is 18.3% in Italy (Legrottaglie et al., 2003), 25.7% in France (France et al., 1997); 18.3% in Indiana (Kazacos, 1978). Saeki et al. (1997) found a prevalence of 79.9% of Toxocara canis in puppies of stray dogs in Ibaraki Prefecture. D’Souza (2002) reported 2.7%-28% of prevalence of Toxocara canis in Bangalore (India). The prevalence of patent Toxocara canis infection is highest in young dogs and much less common in adult animals.Digital copy of Thesis.University of Kashmir