In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation for modern geometry and physics.

The original version of this story appeared in Quanta Magazine. In 1939, upon arriving late to his statistics course at UC Berkeley, George Dantzig—a first-year graduate student—copied two problems ...

Whether you're assigning random shifts, anonymizing a study, or shuffling a deck, randomizing rows in an Excel table manually ...

Researchers have proposed a unifying mathematical framework that helps explain why many successful multimodal AI systems work ...

IIIF provides researchers rich metadata and media viewing options for comparison of works across cultural heritage collections. Visit the IIIF page to learn more. This Simplex '50' is an early example ...

As avid puzzlers know full well, the humble jigsaw puzzle is a thing of beauty in multiple ways. Not only are jigsaws an absorbing time sink, but multiple studies have demonstrated they are good for ...

Research Project Refinement and Analysis of the Regional-Level Japan Industrial Productivity Database: Analysis of Regional Industrial Linkages and Productivity As supplementary information for the ...

Andrew Bloomenthal has 20+ years of editorial experience as a financial journalist and as a financial services marketing writer. Khadija Khartit is a strategy, investment, and funding expert, and an ...

Investopedia contributors come from a range of backgrounds, and over 25 years there have been thousands of expert writers and editors who have contributed. Charlene Rhinehart is a CPA , CFE, chair of ...

Bellow, you can find a toy demonstration where we make a corpus decomposition of test examples representations. All the relevant code can be found in the file simplex. We get a tensor weights that can ...

Abstract: Brake-by-wire (BBW) system is a basic and significant component for intelligent vehicles and electric vehicles. During autonomous emergency braking process, the dynamic response requirement ...