943 resultados para algebraic laws


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Booklet containing Jekyl Island Club charter, constitution, by-laws and members’ names (2 copies). The first copy is missing the membership list and the pages are loose. The spine is taped. The 2nd copy is in good condition, 1887.

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Affirmer que les citoyens des démocraties occidentales sont l’objet d’une surveillance systématique efficace et à grande échelle a de quoi provoquer une réaction incrédule. Démagogie, diront certains. Pourtant, les progrès réalisés dans les technologies de collecte, de traitement et de stockage d’information forcent une réflexion sur cette hypothèse. Il a été souligné justement que les coûts élevés liés aux moyens rudimentaires employés par les polices secrètes d’antan endiguaient en quelque sorte la menace. Les filatures, les infiltrations, les rapts nocturnes de dissidents pêchaient par manque de subtilité. Au contraire, le génie des techniques modernes vient de ce qu’elles n’entravent pas le quotidien des gens. Mais au-delà du raffinement technique, le contrôle panoptique de la masse atteint un sommet d’efficience dès lors que celle-ci est amenée à y consentir. Comme le faisait remarquer le professeur Raab : « [TRADUCTION] La surveillance prospère naturellement dans les régimes autoritaires qui ne s’exposent pas au débat public ni à la critique. Lorsqu’elle est utilisée dans des régimes dits démocratiques, elle est légitimée et circonscrite par des arguments de nécessité ou de justifications spéciales, tout comme la censure »[1]. Or, le droit, en tant que discours de rationalité, accomplit savamment ce travail de légitimation. C’est dans cet esprit qu’une analyse radicale des règles de droit encadrant le droit à la vie privée apporte une lucidité nouvelle sur notre faux sentiment de sécurité.

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Cryptosystem using linear codes was developed in 1978 by Mc-Eliece. Later in 1985 Niederreiter and others developed a modified version of cryptosystem using concepts of linear codes. But these systems were not used frequently because of its larger key size. In this study we were designing a cryptosystem using the concepts of algebraic geometric codes with smaller key size. Error detection and correction can be done efficiently by simple decoding methods using the cryptosystem developed. Approach: Algebraic geometric codes are codes, generated using curves. The cryptosystem use basic concepts of elliptic curves cryptography and generator matrix. Decrypted information takes the form of a repetition code. Due to this complexity of decoding procedure is reduced. Error detection and correction can be carried out efficiently by solving a simple system of linear equations, there by imposing the concepts of security along with error detection and correction. Results: Implementation of the algorithm is done on MATLAB and comparative analysis is also done on various parameters of the system. Attacks are common to all cryptosystems. But by securely choosing curve, field and representation of elements in field, we can overcome the attacks and a stable system can be generated. Conclusion: The algorithm defined here protects the information from an intruder and also from the error in communication channel by efficient error correction methods.

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This thesis Entitled Spectral theory of bounded self-adjoint operators -A linear algebraic approach.The main results of the thesis can be classified as three different approaches to the spectral approximation problems. The truncation method and its perturbed versions are part of the classical linear algebraic approach to the subject. The usage of block Toeplitz-Laurent operators and the matrix valued symbols is considered as a particular example where the linear algebraic techniques are effective in simplifying problems in inverse spectral theory. The abstract approach to the spectral approximation problems via pre-conditioners and Korovkin-type theorems is an attempt to make the computations involved, well conditioned. However, in all these approaches, linear algebra comes as the central object. The objective of this study is to discuss the linear algebraic techniques in the spectral theory of bounded self-adjoint operators on a separable Hilbert space. The usage of truncation method in approximating the bounds of essential spectrum and the discrete spectral values outside these bounds is well known. The spectral gap prediction and related results was proved in the second chapter. The discrete versions of Borg-type theorems, proved in the third chapter, partly overlap with some known results in operator theory. The pure linear algebraic approach is the main novelty of the results proved here.

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Communication is the process of transmitting data across channel. Whenever data is transmitted across a channel, errors are likely to occur. Coding theory is a stream of science that deals with finding efficient ways to encode and decode data, so that any likely errors can be detected and corrected. There are many methods to achieve coding and decoding. One among them is Algebraic Geometric Codes that can be constructed from curves. Cryptography is the science ol‘ security of transmitting messages from a sender to a receiver. The objective is to encrypt message in such a way that an eavesdropper would not be able to read it. A eryptosystem is a set of algorithms for encrypting and decrypting for the purpose of the process of encryption and decryption. Public key eryptosystem such as RSA and DSS are traditionally being prel‘en‘ec| for the purpose of secure communication through the channel. llowever Elliptic Curve eryptosystem have become a viable altemative since they provide greater security and also because of their usage of key of smaller length compared to other existing crypto systems. Elliptic curve cryptography is based on group of points on an elliptic curve over a finite field. This thesis deals with Algebraic Geometric codes and their relation to Cryptography using elliptic curves. Here Goppa codes are used and the curves used are elliptic curve over a finite field. We are relating Algebraic Geometric code to Cryptography by developing a cryptographic algorithm, which includes the process of encryption and decryption of messages. We are making use of fundamental properties of Elliptic curve cryptography for generating the algorithm and is used here to relate both.

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The customary laws of Union Territory of Lakshadweep islands are a challenge for judicial institution as well as administrative machinery. With the peculiarities of socio-legal institutions, Lakshadweep system stands apart from the mainstream of legal systems in India. How far do the charismatic modernisation trends flowing into the Lakshadweep society affect the people already protected by the uncodified laws of the past? Many are the issues at this stage. This study analyses them. It examines the growth, evolution and development of the legal system in the islands vis-a-vis the administrative mechanism imposed by the mainland ethos and culture.

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This thesis contains a study of conservation laws of fluid mechanics. These conservation laws though classical, have been put to extensive studies in t:he past many decades

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This study proposes to verify the hypothesis relating to labour legislation in the industrial sector.Here there are as many as fifty enacments of the central government alone.These legislations indicating the growth of this branch of law over a period of more than half a centuary cover a wide spectrum of interests of workers both individuals and collective in different areas of employment.However this study relates mainly to a)trade unions act,b)industrial employment c)industrial disputes.

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We give a proof of Iitaka's conjecture C2,1 using only elementary methods from algebraic geometry.

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This thesis work is dedicated to use the computer-algebraic approach for dealing with the group symmetries and studying the symmetry properties of molecules and clusters. The Maple package Bethe, created to extract and manipulate the group-theoretical data and to simplify some of the symmetry applications, is introduced. First of all the advantages of using Bethe to generate the group theoretical data are demonstrated. In the current version, the data of 72 frequently applied point groups can be used, together with the data for all of the corresponding double groups. The emphasize of this work is placed to the applications of this package in physics of molecules and clusters. Apart from the analysis of the spectral activity of molecules with point-group symmetry, it is demonstrated how Bethe can be used to understand the field splitting in crystals or to construct the corresponding wave functions. Several examples are worked out to display (some of) the present features of the Bethe program. While we cannot show all the details explicitly, these examples certainly demonstrate the great potential in applying computer algebraic techniques to study the symmetry properties of molecules and clusters. A special attention is placed in this thesis work on the flexibility of the Bethe package, which makes it possible to implement another applications of symmetry. This implementation is very reasonable, because some of the most complicated steps of the possible future applications are already realized within the Bethe. For instance, the vibrational coordinates in terms of the internal displacement vectors for the Wilson's method and the same coordinates in terms of cartesian displacement vectors as well as the Clebsch-Gordan coefficients for the Jahn-Teller problem are generated in the present version of the program. For the Jahn-Teller problem, moreover, use of the computer-algebraic tool seems to be even inevitable, because this problem demands an analytical access to the adiabatic potential and, therefore, can not be realized by the numerical algorithm. However, the ability of the Bethe package is not exhausted by applications, mentioned in this thesis work. There are various directions in which the Bethe program could be developed in the future. Apart from (i) studying of the magnetic properties of materials and (ii) optical transitions, interest can be pointed out for (iii) the vibronic spectroscopy, and many others. Implementation of these applications into the package can make Bethe a much more powerful tool.