This article is from Proof Positive, our friendly newsletter that explores the joys and peculiarities of math. Sign up today for a weekly math essay and puzzle in your email inbox. I don't like ...

Schema languages — JSON Schema, Zod, TypeScript's type system, Protobuf, Avro, OpenAPI — each describe data shapes with different capabilities. Tools that translate between them (code generators, ...

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 ...

This study examined learning difficulties among three consecutive cohorts of freshmen engineering and technology students (n = 251; 17 females) in solving problems in the basic limit theorem. The ...

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 ...

1 Section of General Internal Medicine, Boston University School of Medicine, Boston, Massachusetts, USA 2 Internal Medicine, The Ohio State University College of Medicine, Columbus, Ohio, USA ...

Many prominent phenomena originate from geometrical effects rather than from local physics. For example, the 'hairy ball' (HB) theorem asserts that a hairy sphere cannot be combed without introducing ...

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 ...