Multiparametric and coloured extensions of the quantum group GLq(N)GL_q(N) and the Yangian algebra Y(glN)Y(gl_N) through a symmetry transformation of the Yang-Baxter equation

Inspired by Reshetikhin's twisting procedure to obtain multiparametric extensions of a Hopf algebra, a general `symmetry transformation' of the `particle conserving' $R$-matrix is found such that the resulting multiparametric $R$-matrix, with a spectral parameter as well as a colour parameter, is also a solution of the Yang-Baxter equation (YBE). The corresponding transformation of the quantum YBE reveals a new relation between the associated quantized algebra and its multiparametric deformation. As applications of this general relation to some particular cases, multiparametric and coloured extensions of the quantum group $GL_q(N)$ and the Yangian algebra $Y(gl_N)$ are investigated and their explicit realizations are also discussed. Possible interesting physical applications of such extended Yangian algebras are indicated.Comment: 21 pages, LaTeX (twice). Interesting physical applications of the work are indicated. To appear in Int. J. Mod. Phys.

An Implementing A Continuous Authentication Protocol To Improve Robustness Security Threats On IoT Using ESP8266

The Internet of Things (IoT) is a network of physical things that are outfitted with sensors, software, and other technologies that are able to communicate and exchange data with other devices and systems over the Internet. Because of the diversity of their surroundings, IoT systems are sensitive to network attacks. The IoT could be the source of these dangers and attacks. There are a lot of devices that communicate with each other via the IoT, and one of the most critical components of this is to maintain IoT security. IoT devices are a prime target for attackers and pose a serious risk of impersonation during a call. Proposals to prevent session hijacking in device-to-device communication are made in this research study. User-to-device authentication relies on usernames and passwords, but continuous authentication doesn't. This protocol relies on device features and contextual information. Moreover, this protocol reduces the synchronization losses using shadow IDs and emergency key. In addition, the protocol’s robustness will be tested by providing security and performance analysis

Hall Current Effects on Free Convection Casson Fluid Flow in a Rotating System with Convective Boundary Conditions and Constant Heat Source

In this paper we investigated an unsteady free convection flow of casson fluid bounded by a moving vertical flat plate in a rotating system with convective boundary conditions. The governing equations are solved analytically by using perturbation technique. Finally the effects of various dimensionless parameters like inclined angle, Casson parameter, Heat source and Suction parameter on velocity, temperature, friction factor and local Nusselt number are discussed with the help of graphs and tables. Through this study, it is found that increasing values of casson parameter reduces the velocity and increase in inclined magnetic field or hall current parameter enhances the velocity profiles. Keywords: Casson fluid, Rotation, inclined magnetic field, MHD, Heat source

FUZZY BASED CASCADED MULTILEVEL SHUNT ACTIVE POWER FILTER FOR POWER LINE CONDITIONERS

In this paper shunt active power filter is used to improve the power quality at distribution system. Due to nonlinear loads, current harmonics, unbalanced voltages and current and reactive power problems will be created in the network. The Instantaneous real power theory (IRPT) provides the real power calculation with PI controller will not provide accurate result and good performance under both steady state and transient state. Compensating above problems by using fuzzy based on Cascaded multi-level voltage source inverter. The inverter switching signals are generated based on the triangular sampling current controller provides power line conditioning. The Paper deals with three phase, five level cascaded multi level voltage source inverter based shunt active filter with PI and Fuzzy controller by using MATLAB/Simulink

Development and validation of new analytical method for the simultaneous estimation of amitriptyline and perphenazine in bulk and pharmaceutical dosage form by RP-HPLC

A new, simple, precise, accurate and reproducible RP-HPLC method for simultaneous estimation of Amitriptyline and Perphenazine in bulk and pharmaceutical formulations was developed. Separation of Amitriptyline and Perphenazine was successfully achieved on Inertsil ODS (250x4.6mm) 5µm column in an isocratic mode utilizing Methanol: ACN: Water (50:30:20) at a flow rate of 1.0 ml/min and eluents were monitored at 253nm with a retention time of 2.440 and 5.503 minutes for Amitriptyline and Perphenazine respectively. The method was validated and it was found to be linear. The values of the correlation coefficient were found to 0.992 for Amitriptyline and 0.9992 for Perphenazine respectively. The LOD for Perphenazine and Amitriptyline were found to be and 33.8µg/ml and 4.2 µg/ml. The LOQ for Perphenazine and Amitriptyline were found to be 20.88µg/ml and 12.12µg/ml respectively. The percentage recoveries for Amitriptyline and Perphenazine were found to be within the limit indicates that the proposed method is highly accurate. The method was extensively validated according to ICH guidelines

A Note on Dimer Models and D-brane Gauge Theories

The connection between quiver gauge theories and dimer models has been well studied. It is known that the matter fields of the quiver gauge theories can be represented using the perfect matchings of the corresponding dimer model.We conjecture that a subset of perfect matchings associated with an internal point in the toric diagram is sufficient to give information about the charge matrix of the quiver gauge theory. Further, we perform explicit computations on some aspects of partial resolutions of toric singularities using dimer models. We analyse these with graph theory techniques, using the perfect matchings of orbifolds of the form \BC^3/\Gamma, where the orbifolding group $\Gamma$ may be noncyclic. Using these, we study the construction of the superpotential of gauge theories living on D-branes which probe these singularities, including the case where one or more adjoint fields are present upon partial resolution. Applying a combination of open and closed string techniques to dimer models, we also study some aspects of their symmetries.Comment: Discussions expanded, clarifications added, typos fixed. 1+49 page

Super-A-polynomials for Twist Knots

We conjecture formulae of the colored superpolynomials for a class of twist knots $K_p$ where p denotes the number of full twists. The validity of the formulae is checked by applying differentials and taking special limits. Using the formulae, we compute both the classical and quantum super-A-polynomial for the twist knots with small values of p. The results support the categorified versions of the generalized volume conjecture and the quantum volume conjecture. Furthermore, we obtain the evidence that the Q-deformed A-polynomials can be identified with the augmentation polynomials of knot contact homology in the case of the twist knots.Comment: 22+16 pages, 16 tables and 5 figures; with a Maple program by Xinyu Sun and a Mathematica notebook in the ancillary files linked on the right; v2 change in appendix B, typos corrected and references added; v3 change in section 3.3; v4 corrections in Ooguri-Vafa polynomials and quantum super-A-polynomials for 7_2 and 8_1 are adde

Heat transfer characteristics on MHD Powell-Eyring fluid flow across a shrinking wedge with non-uniform heat source/sink

This report presents the flow and heat transfer characteristics on magnetohydrodynamic non-Newtonian fluid across a wedge near the stagnation point. The fluid flow is time independent and laminar. The radiation and irregular heat sink/source effects are deemed. The system of nonlinear ODEs is attained from PDEs by choosing the proper similarity transformations. Further, the well-known shooting and Runge-Kutta methods are utilized to acquire the problem’s solution subject to assumed boundary conditions. Figures are outlined to emphasize the impact of several parameters on the fields of velocity and temperature. Further, the rate of heat transfer and friction factor are also anticipated and portrayed with the assistance of table. Results indicate that the curves of velocity diminish with shrinking parameter, magnetic field parameter and material fluid parameter. Also the non-uniform heat source/sink parameters play a crucial role in the heat transfer performance