Abstract: The average distance problem asks to find a good way to approximate a high-dimensional object, represented as a measure, by a one-dimensional object. We will discuss two variants of the ...

Elastic collisions in one dimension are a clear example of physics in action, where both momentum and kinetic energy remain unchanged. With the right formulas, you can predict exactly how objects will ...

A pair of identical particles swapping places sounds like a small move. In quantum physics, it is a defining one. In everyday three-dimensional space, that swap only comes in two flavors. Either the ...

Scheme illustration of object identification and all-optical 3D reconstruction system. (a) A contour surface image of the object can be obtained in a single processing of the system. (b) High-contrast ...