25 resultados para Euclidean sphere

em Cochin University of Science


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This study concentrates the chemical properties of hydrazones due to its chelating capability and their pharmacological applications. Studies cover the preparation of different acid hydrazones and their structural studies and studies on their antimicrobial activity, synthesis and spectral characterization of different complexes of copper oxovanadium, manganese, nickel etc. Effect of incorporation of heterocyclic bases to the coordination sphere, change in the biological activity of acid hydrazones upon coordination, development of X-ray quality single crystals and its X-ray diffraction studies, studies on the redox behavior of the coordinated metal ions and correlation between the stereochemistry and biological activities.

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The thesis deals with the synthesis, characterization and catalytic activity studies of supported cobalt(ii), nickel(II) and copper(II) complexes of O-phenylenediamine and Schiff bases derived from 3-hydroxyquinoxaline -2-carboxaldehyde. Zeolite encapsulation and polymer anchoring was employed for supporting the complexes. The characterization techniques proved that the encapsulation as well as polymer supporting has been successfully achieved. The catalytic activity studies revealed that the activities of the simple complexes are improved upon encapsulation. Various characterization techniques are used such as, chemical analysis, EPR, magnetic measurements, FTIR studies, thermal analysis, electronic spectra, XRD, SEM, surface area, and GC.The present study indicated that the that the mechanism of oxidation of catechol and DTBC by hydrogen peroxide is not altered by the change in the coordination sphere around the metal ion due to encapsulation. This fact suggests outer sphere mechanism for the reactions. The catalytic activity by zeolite encapsulated complex was found to be slower than that by the neat complex. The slowing down of the reaction in the zeolite case is probably due to the constraint imposed by the zeolite framework. The rate of DTBC ( 3,5-di-tert-butylchatechol)oxidation was found to be greater than the rate of catechol oxidation. This is obviously due to the presence of electron donating tertiary butyl groups.

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The present study on some infinite convex invariants. The origin of convexity can be traced back to the period of Archimedes and Euclid. At the turn of the nineteenth centaury , convexicity became an independent branch of mathematics with its own problems, methods and theories. The convexity can be sorted out into two kinds, the first type deals with generalization of particular problems such as separation of convex sets[EL], extremality[FA], [DAV] or continuous selection Michael[M1] and the second type involved with a multi- purpose system of axioms. The theory of convex invariants has grown out of the classical results of Helly, Radon and Caratheodory in Euclidean spaces. Levi gave the first general definition of the invariants Helly number and Radon number. The notation of a convex structure was introduced by Jamison[JA4] and that of generating degree was introduced by Van de Vel[VAD8]. We also prove that for a non-coarse convex structure, rank is less than or equal to the generating degree, and also generalize Tverberg’s theorem using infinite partition numbers. Compare the transfinite topological and transfinite convex dimensions

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The thesis deals with studies on the synthesis, characterisation and catalytic applications of some new transition metal complexes of the Schiff bases derived from 3-hydroxyquinoxaline 2-carboxaldehyde.. Schiff bases which are considered as ‘privileged ligands’ have the ability to stabilize different metals in different oxidation states and thus regulate the performance of metals in a large variety of catalytic transformations. The catalytic activity of the Schiff base complexes is highly dependant on the environment about the metal center and their conformational flexibility. Therefore it is to be expected that the introduction of bulky substituents near the coordination sites might lead to low symmetry complexes with enhanced catalytic properties. With this view new transition metal complexes of Schiff bases derived from 3-hydroxyquinoxaline-2-carboxaldehyde have been synthesised. These Schiff bases have more basic donor nitrogen atoms and the presence of the quinoxaline ring may be presumed to build a favourable topography and electronic environment in the immediate coordination sphere of the metal. The aldehyde was condensed with amines 1,8-diaminonaphthalene, 2,3-diaminomaleonitrile, 1,2-diaminocyclohexane, 2-aminophenol and 4-aminoantipyrine to give the respective Schiff bases. The oxovanadium(IV), copper(II) and ruthenium(II)complexes of these Schiff bases were synthesised and characterised. All the oxovanadium(IV) complexes have binuclear structure with a square pyramidal geometry. Ruthenium and copper form mononuclear complexes with the Schiff base derived from 4- aminoantipyrine while binuclear square planar complexes are formed with the other Schiff bases. The catalytic activity of the copper complexes was evaluated in the hydroxylation of phenol with hydrogen peroxide as oxidant. Catechol and hydroquinone are the major products. Catalytic properties of the oxovanadium(IV) complexes were evaluated in the oxidation of cyclohexene with hydrogen peroxide as the oxidant. Here allylic oxidation products rather than epoxides are formed as the major products. The ruthenium(II) complexes are found to be effective catalysts for the hydrogenation of benzene and toluene. The kinetics of hydrogenation was studied and a suitable mechanism has been proposed.

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This thesis addresses one of the emerging topics in Sonar Signal Processing.,viz.the implementation of a target classifier for the noise sources in the ocean, as the operator assisted classification turns out to be tedious,laborious and time consuming.In the work reported in this thesis,various judiciously chosen components of the feature vector are used for realizing the newly proposed Hierarchical Target Trimming Model.The performance of the proposed classifier has been compared with the Euclidean distance and Fuzzy K-Nearest Neighbour Model classifiers and is found to have better success rates.The procedures for generating the Target Feature Record or the Feature vector from the spectral,cepstral and bispectral features have also been suggested.The Feature vector ,so generated from the noise data waveform is compared with the feature vectors available in the knowledge base and the most matching pattern is identified,for the purpose of target classification.In an attempt to improve the success rate of the Feature Vector based classifier,the proposed system has been augmented with the HMM based Classifier.Institutions where both the classifier decisions disagree,a contention resolving mechanism built around the DUET algorithm has been suggested.

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The study is entitled “HUMAN RESOURCES DEVELOPMENT IN HIGHER EDUCATION IN KERALA”. The concept “Human Resource Development” is of high value in business and industry and has been used and applied since years. In industry and business the 'human' element is considred as a resource and hence its development and protection is very essential and inevitable. Of all the factors of production, human resource is the only factor having rational faculty and therefore, it must be handled with utmost care. Right recruitment, right training and right induction followed by faultless monitoring and welfare measures are but decisive factors in business and industry. Altogether there is a constant attention up on human factor there. But this is not a practice at all in education. So far there has not been any such measure of care and close watch and performance analysis of human resource on education front. This may be the main reason for lack of accountability in the sphere of education. The present study reveals the importance of introducing HRD practices in higher educational institutions in Kerala. In order to promise human capital formation through education, it is basic requirement. The higher educational institutions must follow the method of industry and commerce because education can be treated as an industry in service sector. There also we can follow the methods of right recruitment, right training and promotion, delegation, performance analysis and accountability checking of human resource. HRD is a powerful idea of transformation of human being into highly productive and contributing factor The HRD of students is the sum total of HRD of teachers. Reminding the primordial usage 'Yatha Raja Thadha Praja’ the quality of faculty resembles in students. The quality of administrative staff in colleges also affects the quality of higher education. Hence, it is high time to introduce the managerial method of HRD with all its paraphernalia in higher educational institutions so as to assure proper human capital formation in higher education in India.

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In this thesis we are studying possible invariants in hydrodynamics and hydromagnetics. The concept of flux preservation and line preservation of vector fields, especially vorticity vector fields, have been studied from the very beginning of the study of fluid mechanics by Helmholtz and others. In ideal magnetohydrodynamic flows the magnetic fields satisfy the same conservation laws as that of vorticity field in ideal hydrodynamic flows. Apart from these there are many other fields also in ideal hydrodynamic and magnetohydrodynamic flows which preserves flux across a surface or whose vector lines are preserved. A general study using this analogy had not been made for a long time. Moreover there are other physical quantities which are also invariant under the flow, such as Ertel invariant. Using the calculus of differential forms Tur and Yanovsky classified the possible invariants in hydrodynamics. This mathematical abstraction of physical quantities to topological objects is needed for an elegant and complete analysis of invariants.Many authors used a four dimensional space-time manifold for analysing fluid flows. We have also used such a space-time manifold in obtaining invariants in the usual three dimensional flows.In chapter one we have discussed the invariants related to vorticity field using vorticity field two form w2 in E4. Corresponding to the invariance of four form w2 ^ w2 we have got the invariance of the quantity E. w. We have shown that in an isentropic flow this quantity is an invariant over an arbitrary volume.In chapter three we have extended this method to any divergence-free frozen-in field. In a four dimensional space-time manifold we have defined a closed differential two form and its potential one from corresponding to such a frozen-in field. Using this potential one form w1 , it is possible to define the forms dw1 , w1 ^ dw1 and dw1 ^ dw1 . Corresponding to the invariance of the four form we have got an additional invariant in the usual hydrodynamic flows, which can not be obtained by considering three dimensional space.In chapter four we have classified the possible integral invariants associated with the physical quantities which can be expressed using one form or two form in a three dimensional flow. After deriving some general results which hold for an arbitrary dimensional manifold we have illustrated them in the context of flows in three dimensional Euclidean space JR3. If the Lie derivative of a differential p-form w is not vanishing,then the surface integral of w over all p-surfaces need not be constant of flow. Even then there exist some special p-surfaces over which the integral is a constant of motion, if the Lie derivative of w satisfies certain conditions. Such surfaces can be utilised for investigating the qualitative properties of a flow in the absence of invariance over all p-surfaces. We have also discussed the conditions for line preservation and surface preservation of vector fields. We see that the surface preservation need not imply the line preservation. We have given some examples which illustrate the above results. The study given in this thesis is a continuation of that started by Vedan et.el. As mentioned earlier, they have used a four dimensional space-time manifold to obtain invariants of flow from variational formulation and application of Noether's theorem. This was from the point of view of hydrodynamic stability studies using Arnold's method. The use of a four dimensional manifold has great significance in the study of knots and links. In the context of hydrodynamics, helicity is a measure of knottedness of vortex lines. We are interested in the use of differential forms in E4 in the study of vortex knots and links. The knowledge of surface invariants given in chapter 4 may also be utilised for the analysis of vortex and magnetic reconnections.

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The study is entitled “HUMAN RESOURCES DEVELOPMENT IN HIGHER EDUCATION IN KERALA”. The concept “Human Resource Development” is of high value in business and industry and has been used and applied since years. In industry and business the ‘human’ element is considred as a resource and hence its development and protection is very essential and inevitable. Of all the factors of production, human resource is the only factor having rational faculty and therefore, it must be handled with utmost care. Right recruitment, right training and right induction followed by faultless monitoring and welfare measures are but decisive factors in business and industiy. Altogether there is a constant attention up on human factor there. But this is not a practice at all in education. So far there has not been any such measure of care and close watch and performance analysis of human resource on education front. This may be the main reason for lack of accountability in the sphere of education. The present study reveals the importance of introducing HRD practices in higher educational institutions in Kerala. In order to promise human capital formation through education, it is basic requirement. The higher educational institutions must follow the method of industry and commerce because education can be treated as an industry in service sector. There also we can follow the methods of right recruitment, right training and promotion, delegation, performance analysis and accountability checking of human resource. HRD is a powerful idea of transformation of human being into highly productive and contributing factor The HRD of students is the sum total of HRD of teachers. Reminding the primordial usage ‘Yatha Raja Thadha Praja’ the quality of faculty resembles in students. The quality of administrative staff in colleges also affects the quality of higher education. Hence, it is high time to introduce the managerial method of HRD with all its paraphernalia in higher educational institutions so as to assure proper human capital formation in higher education in India.

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After skin cancer, breast cancer accounts for the second greatest number of cancer diagnoses in women. Currently the etiologies of breast cancer are unknown, and there is no generally accepted therapy for preventing it. Therefore, the best way to improve the prognosis for breast cancer is early detection and treatment. Computer aided detection systems (CAD) for detecting masses or micro-calcifications in mammograms have already been used and proven to be a potentially powerful tool , so the radiologists are attracted by the effectiveness of clinical application of CAD systems. Fractal geometry is well suited for describing the complex physiological structures that defy the traditional Euclidean geometry, which is based on smooth shapes. The major contribution of this research include the development of • A new fractal feature to accurately classify mammograms into normal and normal (i)With masses (benign or malignant) (ii) with microcalcifications (benign or malignant) • A novel fast fractal modeling method to identify the presence of microcalcifications by fractal modeling of mammograms and then subtracting the modeled image from the original mammogram. The performances of these methods were evaluated using different standard statistical analysis methods. The results obtained indicate that the developed methods are highly beneficial for assisting radiologists in making diagnostic decisions. The mammograms for the study were obtained from the two online databases namely, MIAS (Mammographic Image Analysis Society) and DDSM (Digital Database for Screening Mammography.

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This is a study on “Professional Services: Civil Liability for Deficiency”. This study is made with special reference to medical profession. The importance of qualitative professional services does not require any emphasis. It is a matter of great concern for the people as they are consumers.This study is divided into 12 chapters. The introductory chapter deals with characteristics of profession, basis of professional liability and international efforts to check abuse of position by professional men. Consumers as laymen can not perceive the intricacies of professional services. As a result professional men could misuse their superior position to expose consumers to hardship through deficient services. This is obvious from the fact that deficiency in professional services has assumed a menacing proportion. It is indicative of failure of internal control through self-regulation to check the abuse of position by the professional men. The professional bodies entrusted with the task of enforcing disciplinary measures show a very callous and indifferent attitude towards the repressive conduct of their members. These bodies are more concerned to protect the interest of their members. They are not free from institutional bias. They have put the interest of consumers into oblivion. In effect remedies through professional bodies has become a myth. All these factors make the external control of professional services mandatory to protect the consumers from the clutches of unscrupulous professional men, who abuse their superior position. The professional men who abuse their position are exposed to liability. Their liability arises under contract, tort and statutory law. The present study substantially concentrates on professional liability of medical men. The obvious reason is that of all professional services medical services are the frequently availed services by the consumers. Medical negligence cases account for bulk of the professional negligence cases. ln India also large number of cases are coming before consumer forae. The legal principles evolved in this sphere of professional service confers an insight into legal control of other professional services as well. The same principles are applied to other professions also, as by and large all the professions share common characteristics. Such principles are modified wherever necessary to make room for differential aspects of particular profession

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In 1931 Dirac studied the motion of an electron in the field of a magnetic monopole and found that the quantization of electric charge can be explained by postulating the mere existence of a magnetic monopole. Since 1974 there has been a resurgence of interest in magnetic monopole due to the work of ‘t’ Hooft and Polyakov who independently observed that monopoles can exist as finite energy topologically stable solutions to certain spontaneously broken gauge theories. The thesis, “Studies on Magnetic Monopole Solutions of Non-abelian Gauge Theories and Related Problems”, reports a systematic investigation of classical solutions of non-abelian gauge theories with special emphasis on magnetic monopoles and dyons which possess both electric and magnetic charges. The formation of bound states of a dyon with fermions and bosons is also studied in detail. The thesis opens with an account of a new derivation of a relationship between the magnetic charge of a dyon and the topology of the gauge fields associated with it. Although this formula has been reported earlier in the literature, the present method has two distinct advantages. In the first place, it does not depend either on the mechanism of symmetry breaking or on the nature of the residual symmetry group. Secondly, the results can be generalized to finite temperature monopoles.

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The Union Territory of Pondicherry prior to its merger with the Indian Union was a French Colony. The erstwhile territory of Pondicherry along with its hamlets, namely, KARAIKKAL, MAHE and YANAM was administered by the French Regime. Before it was established by French in 1 6 74 A.D. it was part of Vijayanagara Empire. Prior to this, Pondicherry was a part of the Kingdom of Chola and Pallava Kings. During French Regime, the laws which were in force in France in relation to administration of civil and criminal justice were extended to the erstwhile Territory of Pondicherry. Thus while Pondicherry stood influenced by the Inquisitorial system since the beginning of the 18th century, the neighboring states forming part of the Indian Union since Independence came under the Influence of the British system, viz. accusatorial system. The territory of Pondicherry, for administrative reasons, came to be merged with the Indian Union in the early 60's. Following the merger, the Indian administration sought to extent its own laws from time to time replacing erstwhile French Laws, however, subject to certain savings. Thus the transitional period witnessed consequential changes in the administration of the territory, including the sphere of judicial system. Since I 963, the Union Territory of Pondicherry was brought under the spell of the Indian Legal System The people in Pondicherry ' thus have had the benefit of experiencing both the svstems. Their experiences will be of much help to those who undertake comparative studies in law. The plus and minus points of the respective systems help one to develop a detachment that helps independent evaluation of the svstents. The result of these studies could be relevant in revitalising our criminal systems.The present system is evaluated in the light of the past system. New dimensions are added by way' of an empirical study also.

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This thesis is an attempt to initiate the development of a discrete geometry of the discrete plane H = {(qmxo,qnyo); m,n e Z - the set of integers}, where q s (0,1) is fixed and (xO,yO) is a fixed point in the first quadrant of the complex plane, xo,y0 ¢ 0. The discrete plane was first considered by Harman in 1972, to evolve a discrete analytic function theory for geometric difference functions. We shall mention briefly, through various sections, the principle of discretization, an outline of discrete a alytic function theory, the concept of geometry of space and also summary of work done in this thesis

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India is the largest producer and processor of cashew in the world. The export value of cashew is about Rupees 2600 crore during 2004-05. Kerala is the main processing and exporting center of cashew. In Kerala most of the cashew processing factories are located in Kollam district. The industry provides livelihood for about 6-7 lakhs of employees and farmers, the cashew industry has national importance. In Kollam district alone there are more than 2.5 lakhs employees directly involved in the industry, which comes about 10 per cent of the population of the district, out of which 95 per cent are women workers. It is a fact that any amount received by a woman worker will be utilized directly for the benefit of the family and hence the link relating to family welfare is quite clear. Even though the Government of Kerala has incorporated the Kerala State Cashew Development Corporation (KSCDC) and Kerala State Cashew Workers Apex Industrial Co—operative Society (CAPEX) to develop the Cashew industry, the cashew industry and ancillary industries did not grow as per the expectation. In this context, an attempt has been made to analyze the problems and potential of the industry so as to make the industry viable and sustainable for the perpetual employment and income generation as well as the overall development of the Kollam district.