Last month, OpenAI announced that its latest version of ChatGPT had solved a major math problem, one that had stumped experts ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...

To consider the relationship between generalization, explanation, and understanding, let us consider an example. Suppose we have two intelligent agents, AG1 and AG2, and suppose we ask both to ...

remove-circle Internet Archive's in-browser bookreader "theater" requires JavaScript to be enabled. It appears your browser does not have it turned on. Please see ...

Consider lunch. Perhaps a nice ham sandwich. A knife should neatly halve the ham and two bread slices. But what if you slip? Oops—the ham now rests folded under a ...

We introduce a lattice gas model with a modified Hamiltonian considering different energy for cycles of connected atoms. The system can be interpreted as a chalcogenide glass with pollutants forming ...

I’ve just started teaching an advanced undergraduate course on Fourier analysis — my first lecturing duty in my new job at Edinburgh. What I hadn’t realized until I started preparing was the ...

All organisms must find and consume resources to live, and the strategies an organism uses when foraging can have significant impacts on their fitness. Models assuming optimality in foraging behavior, ...

This article introduces a generalization of dimensional analysis and its corollary, the Π-theorem, to the class of problems in which some of the quantities that define the problem have fixed values in ...