This video explains a challenging exponential equation step by step, showing how to simplify expressions, apply exponent rules, and solve systematically without skipping key logic. Perfect for ...

Abstract: In this work, we investigate the exponential stability of the viscous Saint-Venant equations by adding to the standard hyperbolic Saint-Venant equations a viscosity term coming from the ...

Abstract: Physics-informed neural networks (PINNs) have recently been utilized to tackle wave equation-based forward and inverse problems. However, they encounter challenges in accurately predicting ...

Apple Music is now available as an extension within ChatGPT, meaning you can search for songs, create playlists, and discover new music through OpenAI's chatbot. Here's how to set it up and what makes ...