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"abstractText" : " If a subset of vertices of a graph, designed in such a way that the remaining vertices have unique identification (usually called representations) with respect to the selected subset, then this subset is named as a metric basis (or resolving set). The minimum count of the elements of this subset is called as metric dimension. This concept opens the gate for different new parameters, like fault-tolerant metric dimension, in which the failure of any member of the designed subset is tolerated and the remaining subset fulfills the requirements of the resolving set. In the pattern of the resolving sets, a concept was introduced where the representations of edges must be unique instead of vertices. This concept was called the edge metric dimension, and this as well as the previously mentioned concepts belong to the idea of resolvability parameters in graph theory. In this paper, we find all the above resolving parametric sets of a convex polytope and compare their cardinalities.
Double diffusive natural convection (DDNC) is one of the most studied phenomena in convective energy transfer, having applications in heat exchangers, oceanography and climate Science, biological Systems, renewable energy, and geothermal energy systems. We aimed to conduct a numerical analysis of DDNC within a quadrantal enclosure that contained a Cu-Al2O3 hybrid nanofluid with water as a host fluid. The motivation for choosing this model was attributed to the relatively limited research conducted within this particular geometric configuration, specifically in the context of double-diffusive natural convection, which served as the primary mode of heat and mass transfer. Using numerical simulations, we focused on the impacts of an external magnetic field. The bottom wall of the quadrantal cavity was kept at high temperatures and concentrations while the vertical wall maintained at low temperatures and concentrations . Moreover, the curved wall is kept thermally insulated. With an eminent numerical method, the finite element method is employed to solve the governing partial differential equations (PDEs), which are transformed into a dimensionless form. The outcomes were acquainted with streamlines, isoconcentration contours, and isotherms, along with local and average Nusselt and Sherwood numbers. The analysis revealed that enhancing the volume fraction of Cu-Al2O3 nanoparticles within the conventional fluid increased heat transfer efficiency by up to 11% compared to the base fluid. It was also noticed that without a magnetic field (Ha = 0), the stream functional measures at its highest value of indicated strong convection. However, with the presence of a magnetic field (Ha = 40), the stream function significantly decreased to .
Due to their impact on transportation, Internet of Transportation Things (IoTT) devices have garnered attention recently. Their most notable use is in healthcare, where transportation has been significantly influenced by Internet of Things (IoT) devices. However, threats to infrastructure integrity, medical equipment vulnerabilities, encryption, data integrity threats, and various other security issues make these devices particularly vulnerable. They transmit a considerable amount of sensitive data via sensors and actuators. Given their susceptibility to various attacks, securing the application security of IoTT is crucial. Consequently, IoTT device-based applications must undergo thorough security screening before integration into the healthcare network. Additionally, the authentication technique employed must be robust and reliable. IoTT device evaluation should be impartial and take into account security risk issues. This study proposes an evaluation approach for IoTT devices that utilizes key security risk factors to ensure reliable and secure authentication. Employing hybrid multicriteria decision-making, the suggested strategy evaluates authentication features to select the optimal hospital information system. The hesitant fuzzy analytic hierarchy process-technique for order of preference by similarity to ideal solution (Hesitant Fuzzy AHP-TOPSIS) method is used to systematically examine security risks in a real-time case study with seven alternatives. Results indicate that mediXcel electronic medical records are the most viable, while the Caresoft hospital information system is the least viable, providing valuable insights for future studies and IoTT application professionals. This research addresses security issues to enhance patient data integrity and privacy, facilitating the seamless integration of IoTT applications into healthcare, particularly in emergency healthcare.
The Hermite-Hadamard inequalities are common research topics explored in different dimensions. For any interval , we construct the idea of the Hermite-Hadamard inequality, its different kinds, and its generalization in symmetric quantum calculus at . We also construct parallel results for the Hermite-Hadamard inequality, its different types, and its generalization on other end point , and provide some examples as well. Some justification with graphical analysis is provided as well. Finally, with the assistance of these outcomes, we give a midpoint type inequality and some of its approximations for convex functions in symmetric quantum calculus.