This valuable investigation provides new and solid evidence for a specific cognitive deficit in cerebellar degeneration patients. The authors use three tasks that modulate complexity and error ...

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

School of Mathematical Sciences, East China Normal University, Shanghai 200241, P. R. China College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, P ...

Understanding the behaviour of hyperbola and truncus graphs is key to solving these equations. Transformations, particularly vertical translations, determine whether solutions exist. Without a ...

They provide a versatile framework for solving equations, visualising data, and making informed decisions. This resource revises linear functions, graphs and equations and within linear functions, ...

This equation plays a significant role in non-linear fiber optics. It also has many important applications in photonic crystal fibers. To this end, firstly, we obtain some novel optical solutions of ...

The suggested techniques can be used in other real-world models in science and engineering. The Gardner equation belongs to the category of integrable non-linear partial differential equations. The ...