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 ...

Hong Kong University of Science and Technology unveils DDMS AI system, boosting extreme weather forecasting accuracy and lead time for Hong Kong and China.

The development of humans and other animals unfolds gradually over time, with cells taking on specific roles and functions ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. Implementations of matrix multiplication via diffusion and reactions, thus eliminating ...

Introduction: Quantifying the myelin sheath radius of myelinated axons in vivo is important for understanding, diagnosing, and monitoring various neurological disorders. Despite advancements in ...

Black hole singularities should not exist, according to theories of quantum mechanics. New tweaks to Einstein's equations of general relativity could finally do away with them, and explain what truly ...

Abstract: Differential equations have demonstrated intrinsic connections to network structures, linking discrete network layers through continuous equations. Most existing approaches focus on the ...

Introduction: Fractional diffusion equations offer an effective means of describing transport phenomena exhibiting abnormal diffusion pat-terns, often eluding traditional diffusion models. Methods: We ...

Score-based diffusion models have proven effective in image generation and have gained widespread usage; however, the underlying factors contributing to the performance disparity between stochastic ...