Curvature equations lie at the heart of differential geometry and the analysis of hypersurfaces, providing a rigorous framework for understanding the intrinsic and extrinsic geometric properties of ...

In this paper, we consider the discrete power function associated with the sixth Painlevé equation. This function is a special solution of the so-called crossratio equation with a similarity ...

Geometric partial differential equations of level-set form are usually constructed by a variational method using either Dirac delta function or co-area formula in the energy functional to be minimized ...

A relationship between natural or manmade elements that is used in every discipline except circuit logic. Algebraic and geometric equations are at the heart of scientific research and practice from ...

When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. Mathematical equations aren't just useful — many are quite beautiful. And many scientists admit ...

Geometry plays an important role in racing. From how a driver apexes the corners of a track to how his team sets up the front end suspension of his race car. If you don't know how to use geometry to ...