Deurali Janta Pharmaceuticals (Nepal)

This research investigates the mathematical modelling and numerical simulation of cultural value conflicts in multicultural communities by incorporating sociocultural dynamics into systems of nonlinear differential equations. Cultural conflicts, especially those arising from differing values, norms, and traditions, are intricate and dynamic occurrences, frequently intensified by heightened migration, globalization, and technological interconnectivity. This research presents a quantitative technique using system dynamics and agent-based modelling to simulate the temporal evolution of cultural conflicts, contrasting with prior qualitative sociological interpretations. This article quantitatively simulates cultural divergence and convergence by using known models in social physics and expanding upon Axelrod's framework for cultural dissemination across different intercultural contact settings. The research employs authenticated social data from the World Values Survey and census-derived demographic metrics to calibrate and verify the model. Findings indicate that the stability of value is highly contingent upon the intensity and tolerance of intercultural interactions. This research enhances policy planning by providing mathematical methods for predicting cultural polarization or integration in intricate societies.

This article looks into the use of the fourth-order Runge-Kutta (RK4) method in realistic motion simulation within computer graphics. With dynamic animations, there is an emerging need to solve physical systems using ordinary differential equations, for which RK4 is particularly useful due to its accuracy, stability, and balanced computational cost and efficiency. We implement motion phenomena with damped spring-mass systems by changing second-order differential equations into first-order systems that can be integrated using RK4. The results are measured against Euler and Midpoint methods for assessing stability, error control, and visual smoothness. In every instance, RK4 was found to be the most accurate, stable, and free from overshoot and jitter artifacts. The method demonstrates its effectiveness in real-time animation simulation, including but not limited to simulating cloth movement, flexible body motion, and character dynamic movements through progressive simulation and case studies. Even after undergoing extensive simulation durations, RK4 repeated proved to be supremely reliable regarding energy conservation, damping precision, and fidelity. While perhaps more costly in terms of computation than the more straightforward methods, RK4 remains highly tenable with today's processing capabilities. In addition to greatly improving the physics realism in simulations, the method is commendably applicable in Unity and PhysX or Bullet visual engines. The study illustrates smooth and realistic animation with the help of RK4 while further establishing its importance as a fundamental method for motion graphics and simulation in academic research and industry use.

Abstract Abundant research have been carried out to calculate the inaccuracy between the input and output signals. Singh [2] defined the Hölder’s i.e. H ω space and approximated the functions belonging to this space through (C, 1)(E, 1) i.e. the product of (C, 1) and (E, 1) mean. In this article, we first introduce the triple product transform i.e. (N, pn )(C, 1)(E, 1) and establish a result on approximation of signals in H ω space via conjugate of Fourier series.

A minor head injury can cause traumatic subdural effusion in a child. They often present to pediatric emergencies initially, and there is a delayed referral to neurosurgery. In the emergency room, they should undergo subdural effusion needle aspiration, which can result in an immediate improvement in GCS.