Thompson's Compendium of Pharmacopœias

New characterization of some linear ‎groups‎

‎There are a few finite groups that are determined up to isomorphism solely by their order, such as $mathbb{Z}_{2}$ or $mathbb{Z}_{15}$. Still other finite groups are determined by their order together with other data, such as the number of elements of each order, the structure of the prime graph, the number of order components, the number of Sylow $p$-subgroups for each prime $p$, etc. In this...

Thompson Digraphs: A Characterization

A nite-state machine is called a Thompson machine if it can be constructed from a regular expression using Thompson's construction. We call the underlying digraph of a Thompson machine a Thompson di-graph. We establish and prove a characterization of Thompson digraphs. As one application of the characterization, we give an algorithm that generates an equivalent regular expression from a Thompso...

Sir Henry Thompson's Stricture of Urethra

Dr. Isaac Thompson and his celebrated eye water.

For many years we have been fascinated by the methods of medical advertising. During the past decade advertising of ophthalmic products and services has burgeoned. A number of factors, including the emergence of"buccarteer surgeons" 1 as well as changes in laws and customs related to advertising induced by the "consumer movement" have contributed to this. One ophthalmic preparation that has bee...

The Ubiquity of Thompson's Group F in Groups of Piecewise Linear Homeomorphisms of the Unit Interval1

In the 1960s, Richard J. Thompson introduced a triple of groups F T G which, among them, supplied: the rst examples of innnite, nitely presented, simple groups 14] (see 6] for published details); a technique for constructing an elementary example of a nitely presented group with an unsolvable word problem 12]; the universal obstruction to a problem in homotopy theory 8]; the rst examples of tor...