Abstract: With the global trend of climate change and environmental issues and the increasing number of power stations along rivers, the thermal pollution in the rivers is becoming worse. In this ...

Taiwan’s strategic importance in semiconductors has never rested on the sheer location of factories on the island. It has ...

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from ...

For a century, the Schrödinger equation has been the bedrock of quantum mechanics, successfully predicting how matter behaves as a wave. Yet, physics has lacked a fundamental explanation for why ...

Diffusion models have emerged as a powerful approach in generative AI, producing state-of-the-art results in image, audio, and video generation. In this in-depth technical article, we’ll explore how ...

Abstract: This article reports necessary stability conditions for a parabolic partial differential equation (PDE) interconnected through the boundaries to an ordinary differential equation (ODE). We ...

1 Department of Mechanical Engineering, Faculty of Energy Engineering, Aswan University, Aswan, Egypt. 2 Department of Mechatronics, Faculty of Engineering and Materials Science, German University in ...

In the AI ecosystem, diffusion models are setting up the direction and pace of technological advancement. They are revolutionizing the way we approach complex generative AI tasks. These models are ...