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This review aims to provide a comprehensive evaluation of the dynamics of the double pendulum, with a particular emphasis on its chaotic behavior. It examines the complicated and unpredictable ...

1 Institute of Data Science and Engineering, Xuzhou University of Technology, Xuzhou, China 2 School of Mathematics and Statistics, Huaibei Normal University, Huaibei, China This study introduces a ...

Progress Check: We’re now about 23% of the way through the season, and Memorial Day – a day people say standings start to matter – is 18 days away. The point has come where we can’t simply dismiss 6 ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. In chemical reaction network theory, ordinary differential equations are used to model ...

First, we install the PyTorch and matplotlib libraries using pip, ensuring you have the necessary tools for building neural networks and visualizing the results in your Google Colab environment. Copy ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

The Denver Broncos don’t need to spend a first-round pick on Ashton Jeanty or any other running back in the 2025 NFL Draft—and history proves it. While some teams rely on top draft capital to secure ...

One of the positions the San Francisco Giants were actively looking to upgrade this offseason was first base. They were in desperate need of a power infusion to their lineup and were connected to a ...

ABSTRACT: Fractional-order time-delay differential equations can describe many complex physical phenomena with memory or delay effects, which are widely used in the fields of cell biology, control ...