"Best possible'' maximum principles

Principles of Best Practice

Maximum Principles at Infinity

We prove a general maximum principle at infinity for properly immersed minimal surfaces with boundary in R. An important corollary of this maximum principle at infinity is the existence of a fixed sized regular neighborhood for any properly embedded minimal surface of bounded curvature.

Maximum principles in analytical economics.

The very name of my subject, economics, suggests economizing or maximizing. But Political Economy has gone a long way beyond home economics. Indeed, it is only in the last third of the century, within my own lifetime as a scholar, that economic theory has had many pretensions to being itself useful to the practical businessman or bureaucrat. I seem to recall that a great economist of the last g...

Menas' Result is Best Possible

Generalizing some earlier techniques due to the second author, we show that Menas’ theorem which states that the least cardinal κ which is a measurable limit of supercompact or strongly compact cardinals is strongly compact but not 2 supercompact is best possible. Using these same techniques, we also extend and give a new proof of a theorem of Woodin and extend and give a new proof of an unpubl...

Principles Should Underlie Standards and Best Practices

In the fifty-odd-year history of software, various methods and techniques, methodologies and tools have been proposed to facilitate the development and maintenance of software responsive to needs. Most have proved to be more specific to the then current state of technology than was understood at the time. As a result, many have subsequently been shown to be less universally applicable than orig...