The kernel is the "input that maps to zero," and the image is the "output that is actually obtained." Even if you know the definitions, you may sometimes struggle when writing out the answers as sets.

Previously intractable quantum models now yield to multiple solution pathways thanks to new work describing their spectra via ...

It has been several years since I started using Gemini. In the beginning, even when I had it translate to English, it was ...

AI is now generating so many mathematical results they’re now being dumped en masse, instead of being shared individually.

AE, a graph embedding model that trains in closed form without gradient descent while outperforming conventional graph ...

CAT 2026 is scheduled on November 29, 2026, and only a few days are left for the final examination. At this stage, many ...

A new theoretical study shows that in kernel ridge regression, generalization hinges on the alignment between learning ...

Inevati Systems built a low-power scientific calculator from scratch, complete with graphing, matrix math, and a custom ...

OpenAI Releases Hundreds Of Mathematical Results OpenAI has released a huge collection of mathematical research produced by ...

Two centuries after Benjamin Banneker's death, the Black Student Fund (BSF) is teaching local teens the mathematics ...

Google's AI infrastructure chief Amin Vahdat argues the industry has been measuring itself wrong. The metric that matters is not FLOPS — ...

This paper proposes a new multi-echelon 4-D chaotic supply chain model (NME-4D-CSCM) incorporating a sinusoidal nonlinearity to better represent uncertainties in supply chain dynamics. The model ...