In this study, we present the parametric equations for the trajectory of a P-point on the periphery of a wheel which rolls without slipping down an inclined plane and a cycloid-shaped ramp. The ...

Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China Department of Mathematics, Hunan Normal University, Hunan, Changsha 410081, P. R. China Author for ...

The Energy-Rate method is an applied method to determine the transient curves and stability chart for the parametric equations. This method is based on the first integral of the energy of the systems.

Abstract: Fourier neural operator (FNO) is a recently proposed data-driven scheme to approximate the implicit operators characterized by partial differential equations (PDEs) between functional spaces ...

Non-parametric regression is a type of statistical analysis that makes no assumptions about the functional form of the relationship between variables. Non-parametric regression is a statistical ...

In this theoretical work we provide an unrestricted linear model for identifying treatment effects with time-varying qualification with panel data and repeated cross-sections. This model enables fixed ...

The main goal of this paper is to develop a geometric and topological intuition for molecular knots using parametric equations. Since parameterizations are non-unique; there is more than one set of ...