Polynomials and power functions are the foundation for modelling non-linear relationships. Polynomial functions such as quadratic, cubic and quartic model variables raised to exponents of different ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Abstract: In this paper, we focus on finding positive invariants and Lyapunov functions to establish reachability and stability properties, respectively, of polynomial ordinary differential equations ...

This contribution is part of the special series of Inaugural Articles by members of the National Academy of Sciences elected in 2017. Edited by Kenneth A. Ribet, University of California, Berkeley, CA ...

Diplomacy mechanics in grand strategy games can be incredibly rewarding, allowing adept players to negotiate their way to victory. Games like Civilization 6, Hearts of Iron 4, and Humankind offer ...

This paper presents a new generating function for Hermite polynomials of one variable in theform of\(g(x,t)=\sum_{n=0}^{\infty }t^{n}H^{e}_{n}(x)\)and reveals its connection with incomplete gamma ...

Recent advances in deep learning have bolstered our ability to forecast the evolution of dynamical systems, but common neural networks do not adhere to physical laws, critical information that could ...

In a world of classifying shapes, analyzing graphs, and solving for x, it can be difficult for students to connect to and engage in their mathematics courses. This is particularly true as students ...

Department of Electronics Engineering, Indian Institute of Technology (ISM), Dhanbad, India In this paper, a landmark based approach, using five different interpolating polynomials (linear, cubic ...