Non Trivial Extension of the (1+2)-Poincar\'e Algebra and Conformal Invariance on the Boundary of AdS3AdS_3

Using recent results on string on $AdS_{3}\times N^d$, where N is a d-dimensional compact manifold, we re-examine the derivation of the non trivial extension of the (1+2) dimensional-Poincar\'e algebra obtained by Rausch de Traubenberg and Slupinsky, refs [1] and [29]. We show by explicit computation that this new extension is a special kind of fractional supersymmetric algebra which may be derived from the deformation of the conformal structure living on the boundary of $AdS_3$. The two so(1,2) Lorentz modules of spin $\pm{1\over k}$ used in building of the generalisation of the (1+2) Poincar\'e algebra are re-interpreted in our analysis as highest weight representations of the left and right Virasoro symmetries on the boundary of $AdS_3$. We also complete known results on 2d-fractional supersymmetry by using spectral flow of affine Kac-Moody and superconformal symmetries. Finally we make preliminary comments on the trick of introducing Fth-roots of g-modules to generalise the so(1,2) result to higher rank lie algebras g.Comment: Latex, 31 page

Matrix Formulation of Fractional Supersymmetry and q-Deformation

Supersymmetry, which is the only non-trivial $Z_{2}$ extension of the Poincar\'e algebra, can be generalized to fractional supersymmetry, when the space time is smaller than 3. Since symmetries play an important role in physics; the principal task of quantum groups consist in extanding these standard symmetries to the deformed ones, which might be used in physics as well. This two aspects will be the main focus of this thesis. In this work, we discuss the matrix formulation of fractional supersymmetry, the q-deformation of KdV hierarchy systems and noncommutative geometry. In the first part fractional supersymmetry generated by more than one charge operator and those which can be described as a matrix model are studied. Using parafermionic field-theoretical methods, the fundamentals of two-dimensional fractional supersymmetry $Q^{k}=P$ are set up. Known difficulties induced by methods based on the $U_{q}(sl(2))$ quantum group representations and noncommutative geometry are avoided in the parafermionic approach. Moreover, we find that fractional supersymmetric algebras are naturally realized as matrix models. The $k=3$ case is studied in detail. In the second part we will study the q-deformed algebra and the q-analogues of the generalised KdV hierarchy. We construct in this part the algebra of q-deformed pseudo-differential operators, shown to be an essential step toward setting up a q-deformed integrability program. In fact, using the results of this q-deformed algebra, we derive the q-analogues of the generalised KdV hierarchy. We focus in particular on the first leading orders of this q-deformed hierarchy, namely the q-KdV and q-Boussinesq integrable systems. We also present the q-generalisation of the conformal transformations of the currents $u_{n}$, $n\geq 2$, and discuss the primary condition of the fields $w_{n}$, $n\geq 2$, by using the Volterra gauge group transformations for the q-covariant Lax operators. In the last part we will discuss quantum groups and noncommutative space. All studies in this part are based on the idea of replacing the ordinary coordinates with non commuting operators. We will also formulate some aspects of noncommutative geometry mathematically and we will be mainly concerned with quantum algebra and quantum spaces

Novel Agent Based-approach for Industrial Diagnosis: A Combined use Between Case-based Reasoning and Similarity Measure

In spunlace nonwovens industry, the maintenance task is very complex, it requires experts and operators collaboration. In this paper, we propose a new approach integrating an agent- based modelling with case-based reasoning that utilizes similarity measures and preferences module. The main purpose of our study is to compare and evaluate the most suitable similarity measure for our case. Furthermore, operators that are usually geographically dispersed, have to collaborate and negotiate to achieve mutual agreements, especially when their proposals (diagnosis) lead to a conflicting situation. The experimentation shows that the suggested agent-based approach is very interesting and efficient for operators and experts who collaborate in INOTIS enterprise

Matrix Formulation of Fractional Supersymmetry and q-Deformation

Supersymmetry, which is the only non-trivial $Z_{2}$ extension of the Poincar\'e algebra, can be generalized to fractional supersymmetry, when the space time is smaller than 3. Since symmetries play an important role in physics; the principal task of quantum groups consist in extanding these standard symmetries to the deformed ones, which might be used in physics as well. This two aspects will be the main focus of this thesis. In this work, we discuss the matrix formulation of fractional supersymmetry, the q-deformation of KdV hierarchy systems and noncommutative geometry. In the first part fractional supersymmetry generated by more than one charge operator and those which can be described as a matrix model are studied. Using parafermionic field-theoretical methods, the fundamentals of two-dimensional fractional supersymmetry $Q^{k}=P$ are set up. Known difficulties induced by methods based on the $U_{q}(sl(2))$ quantum group representations and noncommutative geometry are avoided in the parafermionic approach. Moreover, we find that fractional supersymmetric algebras are naturally realized as matrix models. The $k=3$ case is studied in detail. In the second part we will study the q-deformed algebra and the q-analogues of the generalised KdV hierarchy. We construct in this part the algebra of q-deformed pseudo-differential operators, shown to be an essential step toward setting up a q-deformed integrability program. In fact, using the results of this q-deformed algebra, we derive the q-analogues of the generalised KdV hierarchy. We focus in particular on the first leading orders of this q-deformed hierarchy, namely the q-KdV and q-Boussinesq integrable systems. We also present the q-generalisation of the conformal transformations of the currents $u_{n}$, $n\geq 2$, and discuss the primary condition of the fields $w_{n}$, $n\geq 2$, by using the Volterra gauge group transformations for the q-covariant Lax operators. In the last part we will discuss quantum groups and noncommutative space. All studies in this part are based on the idea of replacing the ordinary coordinates with non commuting operators. We will also formulate some aspects of noncommutative geometry mathematically and we will be mainly concerned with quantum algebra and quantum spaces

Video Shot Boundary Detection using the Scale Invariant Feature Transform and RGB Color Channels

Segmentation of the video sequence by detecting shot changes is essential for video analysis, indexing and retrieval. In this context, a shot boundary detection algorithm is proposed in this paper based on the scale invariant feature transform (SIFT). The first step of our method consists on a top down search scheme to detect the locations of transitions by comparing the ratio of matched features extracted via SIFT for every RGB channel of video frames. The overview step provides the locations of boundaries. Secondly, a moving average calculation is performed to determine the type of transition. The proposed method can be used for detecting gradual transitions and abrupt changes without requiring any training of the video content in advance. Experiments have been conducted on a multi type video database and show that this algorithm achieves well performances

Permanent and Dynamic Behaviours of Self-excited Induction Generator In balanced mode

Due to its various advantages over the synchronous generator, the induction machine (IM) can be used as a generator in remote and rural areas. It be haves as a generator when its rotor is driven above its asynchronous speed. The required reactive power is provided by a local capacitors bank connected to the stator of the IM. Both permanent and transient modes of the self excited induction generator (SEIG) are studied. In both cases (loaded and no-loaded), the evolution of the output voltage for different values of the excitation capacitor and speed is presented. We analyze also, the influence of the capacitors and speed values on start-up of the SEIG. A comparison between laboratory tests and simulation results is done, that demonstrate the effectiveness of the proposed modelDue to its various advantages over the synchronous generator, the induction machine (IM) can be used as a generator in remote and rural areas. It be haves as a generator when its rotor is driven above its asynchronous speed. The required reactive power is provided by a local capacitors bank connected to the stator of the IM. Both permanent and transient modes of the self excited induction generator (SEIG) are studied. In both cases (loaded and no-loaded), the evolution of the output voltage for different values of the excitation capacitor and speed is presented. We analyze also, the influence of the capacitors and speed values on start-up of the SEIG. A comparison between laboratory tests and simulation results is done, that demonstrate the effectiveness of the proposed model

Antioxidant and hepatoprotective Potential of Coriandrum sativum L. against hepatic injury by Lambda-cyhalothrin insecticide

The objective of this study is to evaluate the antioxidant and hepatoprotective activity of aerial part and seeds of Coriandrum sativum plant against Lambda cyhalothrin insecticide.  Male Wistar Albinos rats were randomly divided into control, LCT, CsA, CsS, CsS+LCT, CsA+LCT groups, after 90 days of treatments Biochemical, some oxidative stress parameters, and histopathology of liver tissue were evaluated. Total polyphenol content in aerial part and the seed extract estimated at 9.29 and 14.64 mg EAG / mg of extract and IC50 for an antioxidant activity equal to 19.38 and 22.62 mg/ml respectively. The obtained results revealed that rats received Lambda cyhalothrin insecticide showed a significant change in enzymes activity (AST, ALT, ALP and c-GT) and Glutathione (GSH) in liver. Meanwhile content of hepatic Malondialdehyde (MDA). Histopathology examination of liver revealed that Coriandrum sativum attenuate the incidence of liver lesions triggered by Lambda cyhalothrin intoxication. Therefore, the results of this study show that Coriandrum sativum can be proposed to protect the liver against Lambda cyhalothrin induced oxidative damage in rats, and the hepatoprotective effect might be correlated with its antioxidant and free radical scavenging effect. Keywords: hepatoprotective, antioxidant, Coriandrum sativum L., Lambda cyhalothrin, Oxidative stress

An Adapted Approach for User Profiling in a Recommendation System: Application to Industrial Diagnosis

In this paper, we propose a global architecture of a recommender tool, which represents a part of an existing collaborative platform. This tool provides diagnostic documents for industrial operators. The recommendation process considered here is composed of three steps: Collecting and filtering information; Prediction or recommendation step; evaluating and improvement. In this work, we focus on collecting and filtering step. We mainly use information result from collaborative sessions and documents describing solutions that are attributed to the complex diagnostic problems. The developed tool is based on collaborative filtering that operates on users' preferences and similar responses