Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

Quantum computers can outperform their classical counterparts at some tasks, but the full scope of their power is unclear. A new quantum algorithm hints at the possibility of far-reaching applications ...

Mathematics provides tools for explanation and analysis in the physical, engineering, business and social sciences. These tools can help in areas as diverse as planning and evaluating market research, ...

Abstract: Solving partial differential equations (PDEs) is omnipresent in scientific research and engineering and requires expensive numerical iteration for memory and computation. The primary ...

Abstract: The capacity-distortion (C-D) trade-offs for joint state and message communications (JSMC) over single- and multi-user channels are investigated, where the transmitters have access to ...

What is Solve the Story and how can I use it in my classroom? Solve the Story is a brand new interactive series from the Other Side of the Story. Alongside the weekly episodes, use our handy "How to" ...

Simultaneous Tri-Modal Medical Image Fusion and Super-Resolution using Conditional Diffusion Model, MICCAI 2024. [arXiv] In clinical practice, tri-modal medical image fusion, compared to the existing ...