When thinking about the combined arms problem using information geometry, couldn't we mitigate entropy increase? That ...

Reconstructing a three-dimensional object or environment from multiple photographs is a central problem in computer vision. The resulting models support applications such as robotics, augmented and ...

Geometry may be one of the oldest branches of mathematics, but it’s much more than a theoretical subject. It’s part of our everyday lives, says Professor Jennifer Taback, and key to understanding many ...

In our mind’s eye, the universe seems to go on forever. But using geometry we can explore a variety of three-dimensional shapes that offer alternatives to “ordinary” infinite space. When you gaze out ...

In quantum mechanics, the geometry of quantum states has emerged as a powerful framework for understanding phenomena ranging from electrical conductivity to superconductivity. One research direction ...

Can you imagine the imprint a four-dimensional hexagon might leave as it passes through your three-dimensional kitchen table? Probably not, but some people can. One such person was mathematician ...

In approximately 300 B.C., Euclid – a Greek mathematician – combined existing knowledge with his original work to create "Euclid's Elements." These books contained information about what we now know ...

A new study published in Nature Physics introduces a theory of electron-phonon coupling that is affected by the quantum geometry of the electronic wavefunctions. The movement of electrons in a lattice ...

This article examines the engineering principles behind high-speed belt drives and linkages, as well as the ...

We’ve all learned “parallel lines never intersect” in high school geometry. But what your teachers failed to explain is that “parallel lines never intersect” is only true in Euclidean geometry, which ...