Can you solve the elementary school problem that divided the internet in less than 30 seconds? Test your might in this ...

This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference ones. Each of the eleven chapters is a ...

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 ...

Abstract: The scientific research on issues related to numerical linear algebra constitutes an interesting topic for study in the last decades. In this manuscript, a general and fast recurrent neural ...

A new mathematical equation describes the distribution of different fragment sizes when an object breaks. Remarkably, the distribution is the same for everything from bubbles to spaghetti. When you ...

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Seeds are among the most nutrient‑dense natural foods: small in size but packed with fiber, healthy fats, minerals, antioxidants, and bioactive compounds. Incorporating a variety of seeds into your ...