Algebraic structures form the backbone of many modern mathematical disciplines, providing abstract frameworks that capture the essence of operations and relations. Duality theory, in this context, ...

This is a preview. Log in through your library . Abstract This paper determines the precise connection between the curvature properties of an objective function and the ray-curvature properties of its ...

A hidden link has been found between two seemingly unrelated particle collision outcomes. It’s the latest example of a mysterious web of mathematical connections between disparate theories of physics.

Scientists developed a method combining effective theory and duality transformations to simplify and solve complex quantum systems with strong interactions. (Nanowerk News) This problem has long ...

This paper exhibits a duality between the theory of revealed preference of Afriat and the housing allocation problem of Shapley and Scarf. In particular, it is shown that Afriat's theorem can be ...