Herbert Leroy Abrams, MD

Herbert Spiegel, MD 1914-2009: art, science and poetry.

On Abrams’ theorem

Abrams’ theorem describes a necessary and sufficient condition for the closedness of a linear image of an arbitrary set. Closedness conditions of this type play an important role in the theory of duality in convex programming. In this paper we present generalizations of Abrams’ theorem, as well as Abrams-type theorems characterizing other properties (such as relatively openness or polyhedrality...

Herbert Thoms

The eventful chapters of contemporaneous medical history in Connecticut have not yet received the historian's scrutiny and are still only records scattered here and there in organization archives and miscellaneous correspondence. Many of us have been a part of these events and as participants are poorly qualified to place values on them. As in all history, one must await the developing vista of...

Aaron Abrams and Saul Schleimer

J. Hempel in [6] showed that the set of distances of the Heegaard splittings (S,V , hn(V)) is unbounded, as long as the stable and unstable laminations of h avoid the closure of V ⊂ PML(S). Here h is a pseudo-Anosov homeomorphism of a surface S while V is the set of isotopy classes of simple closed curves in S bounding essential disks in a fixed handlebody. With the same hypothesis we show that...

Herbert Herbert: his corneal pits and scleral slits.

PURPOSE To evaluate the life and professional work of the English ophthalmologist Herbert Herbert (1865-1942). DESIGN Historical study. METHODS The main sources for this investigation are Herbert's approximately 65 published papers and 3 monographs. Other sources are contemporary publications by other ophthalmologists and secondary historical reviews of this period. Written communications w...