Organic molecular crystals can respond to external stimuli such as heat, light, and mechanical force, making them attractive candidates for next-generation functional materials. However, predicting ...

Abstract: We provide new criterion and a class of strict Lyapunov functions (SLFs) for time-varying systems (TVSs) with zero homogeneity. The definition of homogeneous auxiliary system is given, where ...

Abstract: In this article, we propose a new generalization for the notion of homogeneous functions. We show some properties and how it appears in some scenarios. Finally, we show how this ...

Every keyboard has a set of Function Keys F1-F12 on the top row; however, the old computer sets used to have these keys gathered on the left side of the keyboard. While every function key caters ...

I want to identify the parameter q(x) in elliptic equation -du_xx + q(x)u =f, x\in [-1,1], where true solution u=sin(pi*x^2), q(x)=cos(x) is unknown. The following is the code: the train loss and test ...

We present a theoretical framework for immiscible incompressible two-phase flow in homogeneous porous media that connects the distribution of local fluid velocities to the average seepage velocities.

Since the beginning of the last century, research on complex systems has advanced the fields of chaos, fractals and networks. A network consists of nodes and edges, where nodes represent the elements ...