Summer's Lease and Other Musings

Chain decompositon theorems for ordered sets and other musings

A brief introduction to the theory of ordered sets and lattice theory is given. To illustrate proof techniques in the theory of ordered sets, a generalization of a conjecture of Daykin and Daykin, concerning the structure of posets that can be partitioned into chains in a \strong" way, is proved. The result is motivated by a conjecture of Graham's concerning probability correlation inequalities...

Chain Decomposition Theorems for Ordered Sets and Other Musings

A brief introduction to the theory of ordered sets and lattice theory is given. To illustrate proof techniques in the theory of ordered sets, a generalization of a conjecture of Daykin and Daykin, concerning the structure of posets that can be partitioned into chains in a “strong” way, is proved. The result is motivated by a conjecture of Graham’s concerning probability correlation inequalities...

To lease or not to lease.

Holiday musings.

A M d his Editor’s Page is being written during the Christmas reak, a traditional period of family reunions, relaxation, ecreation, and reflection. It is often a time when people tep back and try to put the daily activities in which their ives are immersed into a broader perspective. In that spirit, thought I would share with you some of my musings uring this time. The first issue that occurred...

Moody's Musings.

Surprise! I bet you thought Moody’s Investors Service rated only bonds and other arcane Wall Street instruments. In fact, Moody’s also evaluates specific sectors of our economy and renders its famous score on a host of individual pharmaceutical companies. I think you’ll find my quick review of Moody’s outlook on the U.S. drug industry to be of interest.1 It should come as no shock to us that Mo...