We prove that uniform second order growth, tilt stability, and strong metric regularity of the subdifferential — three notions that have appeared in entirely different settings — are all essentially equivalent for any lower-semicontinuous, extended-real-valued function.

We show that quadratic growth of a semi-algebraic function is equivalent to strong metric subregularity of the subdifferential — a kind of stability of generalized critical points. In contrast, this equivalence can easily fail outside of the semi-algebraic setting.

We are going to discuss enumeration problems, and how to solve them using a powerful tool: generating functions. What is an enumeration problem? That’s trying to determine the number of objects of size n satisfying a certain definition. For instance, what is the number of permutations of {1, 2, . . . , n}? (answer: n!), or what is the number of binary sequences of length n? (answer: 2n). Ok, no...

Procurement is an important but neglected issue within the social science analysis of technology. Where studies have been conducted, they are typically marked by a schism between rationalist (e.g. economic) forms of analysis, where the assumption is that choice is the outcome of formal assessment, and cultural sociological approaches, which see choice as driven by the micropolitics of the organ...

This paper investigates calculus rules for the limiting Fréchet-subdifferential of infimum value functions of locally Lipschitzian and non-Lipschitzian functions. It is not required that the infimum is attained.