Stability of Random Sums and Extremes

This study is about the stability of random sums and extremes.The difficulty in finding exact sampling distributions resulted in considerable problems of computing probabilities concerning the sums that involve a large number of terms.Functions of sample observations that are natural interest other than the sum,are the extremes,that is , the minimum and the maximum of the observations.Extreme value distributions also arise in problems like the study of size effect on material strengths,the reliability of parallel and series systems made up of large number of components,record values and assessing the levels of air pollution.It may be noticed that the theories of sums and extremes are mutually connected.For instance,in the search for asymptotic normality of sums ,it is assumed that at least the variance of the population is finite.In such cases the contributions of the extremes to the sum of independent and identically distributed(i.i.d) r.vs is negligible.

Theory of Breaking of a Potyrner Molecule under Tension

The thesis presents the dynamics of a polymer chain under tension. It includes existing theories of polymer fracture, important theories of reaction rates, the rate using multidimensional transition state theory and apply it to the case of polyethylene etc. The main findings of the study are; the life time of the bond is somewhat sensitive to the potential lead to rather different answers, for a given potential a rough estimate of the rate can be obtained by a simples approximation that considers the dynamics of only the bond that breaks and neglects the coupling to neighboring bonds. Dynamics of neighboring bonds would decrease the rate, but usually not more than by one order of magnitude, for the breaking of polyethylene, quantum effects are important only for temperatures below 150K, the lifetime strongly depends on the strain and as the strain varies over a narrow range, the life varies rapidly from 105 seconds to 10_5 seconds, if we change one unit of the polymer by a foreign atom, say by one sulphure atom, in the main chain itself, by a weaker bond, the rate is found to increase by orders of magnitude etc.

The Right to Freedom of Information in Inida

This thesis entitled “The right to freedom of information in india”.In a democracy, the citizens being the persons to choose their own governors, the right to know from the Government is a pre-condition for a properly evaluated election. Freedom of speech and expression, one of the repositories of self~government, forms the basis for the right to know in a wider scale. The functions which the free speech rights serve in a society also emphasize the need for more openness in the functioning of a democracy.Maintanance of law and order and investigation of crimes are highly important in a country like India, where no risk may be taken on account of the public‘s right to know. The Indian situations relating terrorist activities, riots based on language, region, religion and caste are important in this respect. The right to know of the citizens may be regulated in the interests of secrecy required in these areas.On the basis of the conclusions reached in this study, a draft Bill has been proposed for the passing of an Access to Public Documents Act. This Bill is appended to this Thesis.

Rights of the Prisoner: An Evolving Jurisprudence

Imprisonment is the most common method of punishment resorted to by almost all legal systems.The new theories of crime causation propounded in the latter half of the nineteenth century gave rise to the feeling that the prisons could be used as appropriate institutions for reforming the offenders. It called for individualisation of punishment.As a result of international movements for humanisation of prisons the judiciary' in tine common law countries started taking active interest in prisoner's treatment.Various studies reveal that much has been done in America to improve the lot of prisoners and to treat them as human beings.The courts there have gone to the extent of saying that there is no iron curtain between a prisoner and the constitution. Most of the rights available to citizens except those which they cannot enjoy due to the conditions of incarceration have also been granted to prisoner.In India also the judiciary has come forward to protect the rights of the prisoners.Maneka Gandhi is a turning point in prisoner's rights.The repeated intervention of courts in prison administration project the view that prisoners have been denied the basic human rights.The High Courts and the Supreme Court of India have been gradually exercising jurisdiction ixl assuming prison justice, including improving the quality of food and amenities, payment of wages and appropriate standards of medical care. Access to courts must be made easier to the aggrieved prisoners.The government should come forward along with some public spirited citizens and voluntary organisations to form a "discharged prisoner“ aid society. The society should exploit opportunities for rehabilitation of prisoners after their release.Most of the prison buildings in the State of Kerala are ill-equipped, ill furnished and without proper ventilation or sanitation and with insufficient water supply arrangements.In India prisoners and prisons today are governed by the old central legislations like Prisons Act l894 Prisoners Act 1900 and the Transfer of Prisoners Act 1950.

Studies on the structural, electrical and magnetic properties of composites based on spinel ferrites

This thesis mainly deals with the preparation and studies on magnetic composites based on spinel ferrites prepared both chemically and mechanically. Rubber ferrite composites (RFC) are chosen because of their mouldability and flexibility and the ease with which the dielectric and magnetic properties can be manipulated to make them as useful devices. Natural rubber is chosen as the Matrix because of its local availability and possible value addition. Moreover, NR represents a typical unsaturated nonpolar matrix. The work can be thought of as two parts. Part l concentrates on the preparation and characterization of nanocomposites based on y-Fe203. Part 2 deals with the preparation and characterization of RFCs containing Nickel zinc ferrit In the present study magnetic nanocomposites have been prepared by ionexchange method and the preparation conditions have been optimized. The insitu incorporation of the magnetic component is carried out chemically. This method is selected as it is the easiest and simplest method for preparation of nanocomposite. Nanocomposite samples thus prepared were studied using VSM, Mossbauer spectroscopy, Iron content estimation, and ESR spectroscopy. For the preparation of RFCs, the filler material namely nickel zinc ferrite having the general formula Ni)_xZnxFez04, where x varies from 0 to 1 in steps of 0.2 have been prepared by the conventional ceramic techniques. The system of Nil_xZn"Fe204 is chosen because of their excellent high frequency characteristics. After characterization they are incorporated into the polymer matrix of natural rubber by mechanical method. The incorporation is done according to a specific recipe and for various Loadings of magnetic fillers and also for all compositions. The cure characteristics, magnetic properties and dielectric properties of these composites are evaluated. The ac electrical conductivity of both ceramic nickel zinc ferrites and rubber ferrite composites are also calculated using a simple relation. The results are correlated.

Equality of Opportunity in Public Employment : Judicial Perspectives on Backwardness

This thesis is a study of -Equality of Opportunity in Public Employment : Judicial Perspectives on Backwardness. This study is an attempt to evaluate the concept of backwardness and equality of opportunity in employment and to assess the judicial perspectives in relation to them. The study reveals that the recent review petition of the Constitution Bench did not assess the decision of Chakradhar and its import. The study reveals that the Indian judiciary could successfully locate and apply the above principles. It was-Justice Subba Rao's nascent attempt in Devadasan which marked the starting point of such a jurisprudential enquiry. Later Thomas developed the thoughts by a reading new meaning and content to equality provisions of the Constitution which included the elimination of inequalities as the positive content of Articles 14 and 16(1) and elevated reservation provision to the same status of equality principles under the Constitution. Soshit, Vasanth Kumar and Mandal supplemented further to the jurisprudential contents. In this process, the courts were guided by the theories of John Rawls, David Miller, Ronald Dworkin, Max Weber and Roscoe Pound. Thus there was a slow and steady process of transformation of the reservation provision. From an anti-meritarian, unenforceable and enabling provision, it reached a stage of equally relevant and explanatory part of fundamental right to equality. Mandal viewed it as a part of sharing of State power. Though this can be seen by rereading and re-joining thoughts of judges in this regard, the judicial approach lacks coherence and concerted efforts in evolving a jurisprudential basis for protective discrimination. The deliberations of the framers of the Constitution reveals that there was much confusion and indeterminacy with regard to the concept of Backwardness. The study shows that the judiciary has been keeping intact the framers’ expectation of having a reasonable quantum of reservation, preventing the undeserved sections from enjoying the benefit, avoiding its abuse and evolving a new criteria and rejecting the old ones.

Depinning transition of dislocation assemblies: Pileups and low-angle grain boundaries

We investigate the depinning transition occurring in dislocation assemblies. In particular, we consider the cases of regularly spaced pileups and low-angle grain boundaries interacting with a disordered stress landscape provided by solute atoms, or by other immobile dislocations present in nonactive slip systems. Using linear elasticity, we compute the stress originated by small deformations of these assemblies and the corresponding energy cost in two and three dimensions. Contrary to the case of isolated dislocation lines, which are usually approximated as elastic strings with an effective line tension, the deformations of a dislocation assembly cannot be described by local elastic interactions with a constant tension or stiffness. A nonlocal elastic kernel results as a consequence of long-range interactions between dislocations. In light of this result, we revise statistical depinning theories of dislocation assemblies and compare the theoretical results with numerical simulations and experimental data.

Spectral, Structural And Biological Studies Of Some Metal Complexes Of ‘Nsubstituted 2-Benzoylpyridine Thiosemicarbazones

Aqua complex ions of metals must have existed since the appearance of water on the earth, and the subsequent appearance of life depended on, and may even have resulted from the interaction of metal ions with organic molecules. Studies on the coordinating ability of metal ions with other molecules and anions culminated in the theories of/\lfred Werner. Thereon the progress in the studies of metal complex chemistry was rapid. Many factors, like the utility and economic importance of metal chemistry, the intrinsic interest _in many of the compounds and the intellectual challenge of the structural problems to be solved, have contributed to this rapid progress. X—ray diffraction studies further accelerated the progress. The work cited in this thesis was carried out by the author in the Department of Applied Chemistry during 2001-2004. The primary aim of these investigations was to synthesise and characterize some transition metal complexes of 2-benzoylpyridine N(4)-substituted thiosemicarbazones and to study the antimicrobial activities of the ligands and their metal complexes. The work is divided into eight chapters

Study on period search methods of variable stars: Application to ASAS and CRTS databases

Study on variable stars is an important topic of modern astrophysics. After the invention of powerful telescopes and high resolving powered CCD’s, the variable star data is accumulating in the order of peta-bytes. The huge amount of data need lot of automated methods as well as human experts. This thesis is devoted to the data analysis on variable star’s astronomical time series data and hence belong to the inter-disciplinary topic, Astrostatistics. For an observer on earth, stars that have a change in apparent brightness over time are called variable stars. The variation in brightness may be regular (periodic), quasi periodic (semi-periodic) or irregular manner (aperiodic) and are caused by various reasons. In some cases, the variation is due to some internal thermo-nuclear processes, which are generally known as intrinsic vari- ables and in some other cases, it is due to some external processes, like eclipse or rotation, which are known as extrinsic variables. Intrinsic variables can be further grouped into pulsating variables, eruptive variables and flare stars. Extrinsic variables are grouped into eclipsing binary stars and chromospheri- cal stars. Pulsating variables can again classified into Cepheid, RR Lyrae, RV Tauri, Delta Scuti, Mira etc. The eruptive or cataclysmic variables are novae, supernovae, etc., which rarely occurs and are not periodic phenomena. Most of the other variations are periodic in nature. Variable stars can be observed through many ways such as photometry, spectrophotometry and spectroscopy. The sequence of photometric observa- xiv tions on variable stars produces time series data, which contains time, magni- tude and error. The plot between variable star’s apparent magnitude and time are known as light curve. If the time series data is folded on a period, the plot between apparent magnitude and phase is known as phased light curve. The unique shape of phased light curve is a characteristic of each type of variable star. One way to identify the type of variable star and to classify them is by visually looking at the phased light curve by an expert. For last several years, automated algorithms are used to classify a group of variable stars, with the help of computers. Research on variable stars can be divided into different stages like observa- tion, data reduction, data analysis, modeling and classification. The modeling on variable stars helps to determine the short-term and long-term behaviour and to construct theoretical models (for eg:- Wilson-Devinney model for eclips- ing binaries) and to derive stellar properties like mass, radius, luminosity, tem- perature, internal and external structure, chemical composition and evolution. The classification requires the determination of the basic parameters like pe- riod, amplitude and phase and also some other derived parameters. Out of these, period is the most important parameter since the wrong periods can lead to sparse light curves and misleading information. Time series analysis is a method of applying mathematical and statistical tests to data, to quantify the variation, understand the nature of time-varying phenomena, to gain physical understanding of the system and to predict future behavior of the system. Astronomical time series usually suffer from unevenly spaced time instants, varying error conditions and possibility of big gaps. This is due to daily varying daylight and the weather conditions for ground based observations and observations from space may suffer from the impact of cosmic ray particles. Many large scale astronomical surveys such as MACHO, OGLE, EROS, xv ROTSE, PLANET, Hipparcos, MISAO, NSVS, ASAS, Pan-STARRS, Ke- pler,ESA, Gaia, LSST, CRTS provide variable star’s time series data, even though their primary intention is not variable star observation. Center for Astrostatistics, Pennsylvania State University is established to help the astro- nomical community with the aid of statistical tools for harvesting and analysing archival data. Most of these surveys releases the data to the public for further analysis. There exist many period search algorithms through astronomical time se- ries analysis, which can be classified into parametric (assume some underlying distribution for data) and non-parametric (do not assume any statistical model like Gaussian etc.,) methods. Many of the parametric methods are based on variations of discrete Fourier transforms like Generalised Lomb-Scargle peri- odogram (GLSP) by Zechmeister(2009), Significant Spectrum (SigSpec) by Reegen(2007) etc. Non-parametric methods include Phase Dispersion Minimi- sation (PDM) by Stellingwerf(1978) and Cubic spline method by Akerlof(1994) etc. Even though most of the methods can be brought under automation, any of the method stated above could not fully recover the true periods. The wrong detection of period can be due to several reasons such as power leakage to other frequencies which is due to finite total interval, finite sampling interval and finite amount of data. Another problem is aliasing, which is due to the influence of regular sampling. Also spurious periods appear due to long gaps and power flow to harmonic frequencies is an inherent problem of Fourier methods. Hence obtaining the exact period of variable star from it’s time series data is still a difficult problem, in case of huge databases, when subjected to automation. As Matthew Templeton, AAVSO, states “Variable star data analysis is not always straightforward; large-scale, automated analysis design is non-trivial”. Derekas et al. 2007, Deb et.al. 2010 states “The processing of xvi huge amount of data in these databases is quite challenging, even when looking at seemingly small issues such as period determination and classification”. It will be beneficial for the variable star astronomical community, if basic parameters, such as period, amplitude and phase are obtained more accurately, when huge time series databases are subjected to automation. In the present thesis work, the theories of four popular period search methods are studied, the strength and weakness of these methods are evaluated by applying it on two survey databases and finally a modified form of cubic spline method is intro- duced to confirm the exact period of variable star. For the classification of new variable stars discovered and entering them in the “General Catalogue of Vari- able Stars” or other databases like “Variable Star Index“, the characteristics of the variability has to be quantified in term of variable star parameters.

Employment Realm in Technical Education in Kerala-A Study on the Problem of Unemployment among Engineers

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The Dynamic Structure of Everyday Life

Computational theories of action have generally understood the organized nature of human activity through the construction and execution of plans. By consigning the phenomena of contingency and improvisation to peripheral roles, this view has led to impractical technical proposals. As an alternative, I suggest that contingency is a central feature of everyday activity and that improvisation is the central kind of human activity. I also offer a computational model of certain aspects of everyday routine activity based on an account of improvised activity called running arguments and an account of representation for situated agents called deictic representation .

Incremental Verification of Timing Constraints for Real-Time Systems

Testing constraints for real-time systems are usually verified through the satisfiability of propositional formulae. In this paper, we propose an alternative where the verification of timing constraints can be done by counting the number of truth assignments instead of boolean satisfiability. This number can also tell us how “far away” is a given specification from satisfying its safety assertion. Furthermore, specifications and safety assertions are often modified in an incremental fashion, where problematic bugs are fixed one at a time. To support this development, we propose an incremental algorithm for counting satisfiability. Our proposed incremental algorithm is optimal as no unnecessary nodes are created during each counting. This works for the class of path RTL. To illustrate this application, we show how incremental satisfiability counting can be applied to a well-known rail-road crossing example, particularly when its specification is still being refined.

Models of Learning and Motivation

A brief skim through educational theory intended for students registered on a single module in Technology Enhanced Learning. Startes with Blooms taxonomy, travles through instructivism and constructivism and on to theories of motivation/

Un intento de disolución al problema de Gettier

Esta monografía cuestiona la validez de la crítica de Gettier a la suficiencia de lo que ha sido conocido como el análisis “tradicional” del conocimiento. Este análisis establece el conocimiento como creencia, verdadera justificada. Gettier en su famoso artículo "Is Justified True Belief Knowledge?" Propone una serie de contraejemplos que parecen cumplir con las tres condiciones recién establecidas, pero no puede ser considerado conocimiento. La monografía explora dos estrategias principales para responderle a Gettier: por un lado, me pregunto sí los contraejemplos realmente cumplen con las tres condiciones. Yo argumento que los contraejemplos de Gettier son imperfectos en cuanto a que no pueden cumplir con la condición de creencia; y si esto es así los contraejemplos no serían una amenaza al análisis “tradicional” del conocimiento ni tampoco serían una prueba de su insuficiencia. Por otro lado, si uno pudiera aceptar la validez de los contraejemplos uno podría aun cuestionar su relevancia. Esto es lo que pretendo hacer en la segunda parte de este trabajo. Intento mostrar que una solución al problema de Gettier no mejora para nada nuestra investigación metodológica, ni cambia de ninguna manera la forma en que nosotros adquirimos nuestras creencias y nuestro conocimiento en general. Por lo tanto, los contraejemplos de Gettier aun si pudieran funcionar correctamente (lo cual defiendo en la primera parte de la monografía que no es así) son irrelevantes y no son una amenaza real al análisis “tradicional” del conocimiento. La monografía se propone, entonces, efectuar una disolución más que una solución al problema de Gettier.

Neural networks of human nature and nurture

Neural network methods have facilitated the unification of several unfortunate splits in psychology, including nature versus nurture. We review the contributions of this methodology and then discuss tentative network theories of caring behavior, of uncaring behavior, and of how the frontal lobes are involved in the choices between them. The implications of our theory are optimistic about the prospects of society to encourage the human potential for caring.