Here’s a simple-sounding problem: Imagine a circular fence that encloses one acre of grass. If you tie a goat to the inside of the fence, how long a rope do you need to allow the animal access to ...

Opinions expressed by Entrepreneur contributors are their own. Entrepreneurs are different than other problem-solvers. They have a knack for coming up with unique solutions that transform lives and ...

Boundary value problems (BVPs) and partial differential equations (PDEs) are critical components of modern applied mathematics, underpinning the theoretical and practical analyses of complex systems.

Mathematicians have long pondered the reach of a grazing goat tied to a fence, only finding approximate answers until now. Here’s a simple-sounding problem: Imagine a circular fence that encloses one ...