Statistics of avalanches in martensitic transformations, II. Modelling

Using a scaling assumption, we propose a phenomenological model aimed to describe the joint probability distribution of two magnitudes A and T characterizing the spatial and temporal scales of a set of avalanches. The model also describes the correlation function of a sequence of such avalanches. As an example we study the joint distribution of amplitudes and durations of the acoustic emission signals observed in martensitic transformations [Vives et al., preceding paper, Phys. Rev. B 52, 12 644 (1995)].

Judicial Review of Academic Decisions

This thesis entitled “Judicial review of academic decisions.Education in India is being increasingly controlled and guided by the courts.This study makes an attempt to assess the involvement of the court in regulating education and its role or interference in the conventional concepts of ‘academic freedom’ and ‘university autonomy.The study mostly concentrates on the jurisdiction under Article 226 of the Constitution and its invocation in academic matters with particular reference to the decisions of the Kerala High Court.The concept of judicial review in the Constituent Assembly, initial approach of the Supreme Court of India towards the doctrine, gradual empowerment of Indian judiciary in this area and the resultant judicial activism.The study proceeds through the analysis of ‘academic freedom’ and ‘university autonomy’ in the 4"‘ chapter. This chapter attempts to probe academic freedom and university autonomy in India,England and United States and autonomy of Indian universities before and after independence.Basic principles and the jurisdictional parameters of judicial review in the area of academic decisions, as pronounced by the Apex Court, can be convincingly and consistently followed by the High Courts, which is possible only if special Academic Benches are constituted.

Judicial Creativity in Constitutional Interpretation

The focus of study in this thesis is on the necessity and extent of judicial creativity in interpreting provisions in certain crucial areas in the Constitution of India. Judicial innovation was essential to adapt the constitutional provisions to modern changed context. Creativity of the Court has been mainly in the creation and introduction of certain new concepts not found in any specific provision of the Constitution which, but were essential for its meaningful interpretation.Independence of the judiciary, basic structure and certain elements of social justice cherished as ideal by the makers of the Constitution are some such concepts infused into the Constitution by the judiciary. The second aspect of creativity lies in the attempt of the Court to construe provisions in the Constitution with a view to upholding and maintaining the concepts so infused into the Constitution. Introduction of those concepts into the Constitution was necessary and is justified. all important features of the Constitution like democratic form of government, federal structure, judicial review, independence of judiciary and rule of law were thus included in the doctrine to prevent their alteration by amendments.As a result of such a construction, the nature of those directive principles itself has changed. They ceased to be mere directives for state action but became mandate for it. If left to legislative or executive will for their implementation, the directives would have remained enforceable as ordinary right.To conclude, notwithstanding the errors committed by the Supreme Court in construing the provisions in the above areas, they stand testimony to its creative and innovative response in interpreting the Constitution. If this trend is continued, it will be possible to achieve through the judicial process, maintenance of independence of the judiciary, avoidance of destruction of the Constitution through the process of amendment and realisation of social justice envisaged in the directive principles. It can be hoped that the Court would maintain its energetic and vibrant mind and rise up to the occasions and extend the same to other areas in future.

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.

"Right to Personal Liberty Under the Indian Constitution - With Special Reference to Judicial Process"

The nature and extent of protection secured to personal liberty has been a subject matter of great controversy and debate. The expression "procedure established by law" as a standard of protection for personal liberty has been looked upon as highly unsatisfactory and inadequate. For, unlike the specific attributes of liberty that are separately guaranteed under Art.19, ‘personal liberty‘ as guaranteed by Art.21 does not obligate the .Legislature to comply with the requirements of justice and reasonableness as and when it enchroaches upon that right. Though the concept of ‘personal liberty‘ has received an evolutive and expansive meaning through judicial process, the standard of protection which the judicial process could secure to personal liberty through the interpretation of Art.21 has been far from satisfactory Even after four decades of judicial process in the interpretation of Art.21 the problem of evolving a just and adequate standard of protection for personal liberty in that Article continues to be 21 crucial constitutional issue, craving for a. satisfactory solution. And the present study is a humble attempt to unravel this problem and to Search for a reasonable solution.

Surface Reflectance Recognition and Real-World Illumination Statistics

Humans distinguish materials such as metal, plastic, and paper effortlessly at a glance. Traditional computer vision systems cannot solve this problem at all. Recognizing surface reflectance properties from a single photograph is difficult because the observed image depends heavily on the amount of light incident from every direction. A mirrored sphere, for example, produces a different image in every environment. To make matters worse, two surfaces with different reflectance properties could produce identical images. The mirrored sphere simply reflects its surroundings, so in the right artificial setting, it could mimic the appearance of a matte ping-pong ball. Yet, humans possess an intuitive sense of what materials typically "look like" in the real world. This thesis develops computational algorithms with a similar ability to recognize reflectance properties from photographs under unknown, real-world illumination conditions. Real-world illumination is complex, with light typically incident on a surface from every direction. We find, however, that real-world illumination patterns are not arbitrary. They exhibit highly predictable spatial structure, which we describe largely in the wavelet domain. Although they differ in several respects from the typical photographs, illumination patterns share much of the regularity described in the natural image statistics literature. These properties of real-world illumination lead to predictable image statistics for a surface with given reflectance properties. We construct a system that classifies a surface according to its reflectance from a single photograph under unknown illuminination. Our algorithm learns relationships between surface reflectance and certain statistics computed from the observed image. Like the human visual system, we solve the otherwise underconstrained inverse problem of reflectance estimation by taking advantage of the statistical regularity of illumination. For surfaces with homogeneous reflectance properties and known geometry, our system rivals human performance.

Aitchison Geometry for Probability and Likelihood as a new approach to mathematical statistics

The Aitchison vector space structure for the simplex is generalized to a Hilbert space structure A2(P) for distributions and likelihoods on arbitrary spaces. Central notations of statistics, such as Information or Likelihood, can be identified in the algebraical structure of A2(P) and their corresponding notions in compositional data analysis, such as Aitchison distance or centered log ratio transform. In this way very elaborated aspects of mathematical statistics can be understood easily in the light of a simple vector space structure and of compositional data analysis. E.g. combination of statistical information such as Bayesian updating, combination of likelihood and robust M-estimation functions are simple additions/ perturbations in A2(Pprior). Weighting observations corresponds to a weighted addition of the corresponding evidence. Likelihood based statistics for general exponential families turns out to have a particularly easy interpretation in terms of A2(P). Regular exponential families form finite dimensional linear subspaces of A2(P) and they correspond to finite dimensional subspaces formed by their posterior in the dual information space A2(Pprior). The Aitchison norm can identified with mean Fisher information. The closing constant itself is identified with a generalization of the cummulant function and shown to be Kullback Leiblers directed information. Fisher information is the local geometry of the manifold induced by the A2(P) derivative of the Kullback Leibler information and the space A2(P) can therefore be seen as the tangential geometry of statistical inference at the distribution P. The discussion of A2(P) valued random variables, such as estimation functions or likelihoods, give a further interpretation of Fisher information as the expected squared norm of evidence and a scale free understanding of unbiased reasoning

¿Es posible la coordinación entre el Sistema Judicial Nacional y la Jurisdicción Indígena en Colombia? : aportes para un diálogo intercultural e interjurisdiccional

En cuanto que las minorías étnicas son reconocidas constitucionalmente, se encuentra un ambiente propicio para lograr con éxito la necesidad de reconocer a los pueblos indígenas como una cultura diferenciada, razón por la cual, constitucionalmente se otorgó status constitucional a su propio sistema de impartir justicia, es decir, su sistema judicial, al punto que es el artículo 246 de la Constitución Política así lo consagra, siendo de ésta manera como se hizo improrrogable hacer efectivo un mecanismo que permita el funcionamiento armónico de la jurisdicción especial indígena y Sistema Jurídico Nacional. Por ésta razón el presente trabajo investigativo, se desarrollará con base en los resultados arrojados por el proyecto Extensión de la coordinación del Sistema Judicial Nacional (SJN) y la Jurisdicción Especial Indígena (JEI), exponiendo una serie de componentes y elementos jurídicos que pretenden analizar la problemática de coexistencia de culturas jurídicas diferentes, en el marco del Estado Social de Derecho, con base en el pluralismo jurídico, diversidad cultural e interculturalismo.

La indeterminación judicial de la responsabilidad extracontractual del estado por <> del servicio en la función administrativa

El trabajo inquiere, examina y condena la concepción bíblico-antigua con el cual se ha pretendido acrisolar a las convenciones jurídicas bajo el estigma de la objetividad, especialmente en el contexto de la Responsabilidad Civil Extracontractual de la Administración Pública, contrastado con el débito acaecido una vez presente un juicio orgánico, esto es, la falla del servicio, supuesto extraído en el interactuar antitético de las autoridades públicas respecto de una obligación primaria de cuidado debido, esto es, una norma legal pre-constituida al momento de la actuación material o acto administrativo. Supuesta tal objetividad en la falla del servicio, una dicotomía se presupone en su contra, la elasticidad con que ésta teoría pretende amalgamar bajo unos mismos y nunca cambiantes elementos de imputación jurídica en manos del juez siempre una única responsabilidad en las autoridades públicas. Y por otro lado, la incidencia de la teoría en la praxis, pragmática que no deja de insinuar lo contrario, esto es, supone desavenencias inexpugnables en la aplicación de tales premisas supuestas objetivas. Luego, resultado de este cisma es la indeterminación en la concepción falla del servicio, como concepto que no conoce contornos definidos, lo cual ofrece como síntoma de su abstrusa constitución una espiritual-subjetiva aplicación, y un cuestionamiento ineludible ¿existen líneas jurisprudenciales cuando de responsabilidad extracontractual se trata, en particular, en la falla del servicio?

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