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 ...

When most people think of shapes, they imagine a triangle, a rectangle, or maybe even a fancier-sounding rhombus or trapezoid. But to mathematicians, shapes encompass a vast universe of surprising ...

There's a good explanation for the eight-foot pit in the center of the lab in Fronczak Hall, UB physicist Sambandamurthy Ganapathy tells a visitor from the Reporter. Slated for installation beneath ...

Black holes have a complex shape. Inside, gravity exists in three dimensions. But black holes are also connected to outside particles and magnetic fields that only exist in two dimensions. So how can ...

If you’re looking to pick a fight, simply ask your friends, “Is Pluto a planet?” Or “Is a hotdog a sandwich?” Or “How many holes does a straw have?” The first two questions will have them arguing yay ...

The fields of finite-element analysis, failure analysis, and solid mechanics all express stresses in terms of tensors. Engineering literature usually treats a tensor as a symbol dressed with indices ...

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 ...