The Individual Brain Charting (IBC) project has released its fifth and largest update of high-resolution fMRI data, adding a ...

I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips.

Abstract: Catalytic cracking unit is a highly dynamic industrial process involving complex chemical reactions, catalyst circulation, temperature and pressure changes, and control system regulation. To ...

Covid-19 broke the charts. Decades from now, the pandemic will be visible in the historical data of nearly anything measurable today: an unmistakable spike, dip or jolt that officially began for ...

The original version of this story appeared in Quanta Magazine. Much of mathematics is driven by intuition, by a deep-rooted sense of what should be true. But sometimes instinct can lead a ...

ABSTRACT: In this paper, a sufficient condition for a balanced bipartite graph to contain a 2-factor F is given. We show that every balanced bipartite graph of order 2n ( n≥6 ) and e( G )> n 2 −2n+4 ...

Much of mathematics is driven by intuition, by a deep-rooted sense of what should be true. But sometimes instinct can lead a mathematician astray. Early evidence might not represent the bigger picture ...

I know that for chordal graphs, Sage has a function to recognize a perfect elimination ordering. This problem is somewhat similar, identifying chordal bipartite graphs. The following theorem is ...

In-context learning (ICL) enables LLMs to adapt to new tasks by including a few examples directly in the input without updating their parameters. However, selecting appropriate in-context examples ...

We may never know why it occurred to Donald Trump or someone with access to his Truth Social account to post a graph about immigration at 2:20 a.m. Fox News was re-airing Sean Hannity’s show during ...