Given a separated dual system (E, E'), the Fenchel transform determines a pairing of the convex functions on E with the convex functions on E'. This operation is shown to have a continuity property.

Swimlane, the leader in agentic AI automation for every security function, today announced the launch of its Business ...

Continuation of APPM 4440. Study of multidimensional analysis including n-dimensional Euclidean space, continuity and uniform continuity of functions of several variables, differentiation, linear and ...

We prove that every bounded finely plurisubharmonic function can be locally (in the pluri-fine topology) written as the difference of two usual plurisubharmonic functions. As a consequence, finely ...

In early 2025, an electrical transformer exploded in Albany, N.Y., knocking out fiber-optic cable to a local elementary ...

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