From fine-tuning open source models to building agentic frameworks on top of them, the open source world is ripe with projects that support AI development.

Abstract: Mathematical functions are essential to software systems in areas like probabilistic modeling, simulation, and scientific computing. However, verifying their correctness becomes challenging ...

ABSTRACT: The Riemann Zeta function ζ( s ) has many different representations. In this paper, we derive several new integral representations of the Zeta function using the inverse Mellin transform and ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

In recent years, the impact of teaching technology on students’ mathematical intelligence has received essential academic attention. Students’ mathematical intelligence is a crucial criterion to ...

A decade ago astrophysicists at the Laser Interferometer Gravitational-Wave Observatory (LIGO), operated by the California Institute of Technology and the Massachusetts Institute of Technology, ...

The human brain not only remembers who other people are, it also uses basic mathematical functions called basis functions to store information about how people interact — for example, how they work ...

ABSTRACT: A multi-dimensional mathematical theory applied to texts belonging to the classical Greek Literature spanning eight centuries reveals interesting connections between them. By studying words, ...

Can you chip in? The Internet Archive is introducing peer-to-peer (P2P) fundraising —a giving platform that allows individual supporters to host personalized campaigns to fundraise for the Internet ...