Abstract: An exact solution is presented for the mutual inductance between general noncoaxial thin circular and elliptic coils with parallel axes. The thin coil solution is given as an angular ...

COPIES of Legendre's classical work, “Traits des Fonctions Elliptiquos”, published in Paris in 1825, have now become very scarce, with a consequent rise in price. To the mathematician, this has ...

In physics, on seeking for a deeper understanding of a topic we often formulate simple questions which, though not realizable in practice, should be satisfactorily answered. For instance, what exactly ...

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

The portly, balding sculptor-turned-architect must have drawn a few curious gazes as he set up a complicated painting apparatus in the corner of a Renaissance-era piazza. He planted his instrument, ...

Most gyms have an elliptical machine, otherwise known as a cross trainer. And chances are, someone's on it—and using it incorrectly. Sounds good, right? Ahead, fitness experts weigh in on everything ...

ABSTRACT: This article concerns the integral related to the transverse comoving distance and, in turn, to the luminosity distance both in the standard non-flat and flat cosmology. The purpose is to ...

Quantum computing poses a threat to Bitcoin's security due to its potential to outperform current mining technologies and break encryption. Estimates suggest a single quantum computer could dominate ...

Anthony Bonato: It’s a bit of an urban legend in mathematics. There’s a sort of a romance to the story, in a way. If you're enjoying this article, consider supporting our award-winning journalism by ...

Wei Ho, the first director of the Women and Mathematics program at the Institute for Advanced Study, combines algebra and geometry in her work on an ancient class of curves. Like many people who would ...