Given x 0 , a point of a convex subset C of a Euclidean space, the two following statements are proven to be equivalent: (i) every convex function f : C → ℝ is upper semi-continuous at x 0 , and (ii) ...

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.

The benchmark tests show that the noise-free realization of QA can significantly outperform state-of-the-art classical algorithms. Quantum annealing (QA) is a cutting-edge algorithm that leverages the ...

Running a successful company requires an understanding of how to serve customers, regardless of market conditions. Business continuity plans help companies stay running during natural disasters, ...

In today's fast-paced and competitive business landscape, organizations that prioritize continuous learning and development are more likely to thrive. Embracing a culture of continuous learning can ...

This topic was well addressed in the classic book The Invisible Advantage: How to Create a Culture of Innovation, by Soren Kaplan, who lays out the key steps to assess, disrupt, and reshape the ...