Eileen Duggan, 1894–1972

Eileen Gentleman

Bridget Eileen Tenner

The number of domino tilings of a region with reflective symmetry across a line is combinatorially shown to depend on the number of domino tilings of particular subregions, modulo 4. This expands upon previous congruency results for domino tilings, modulo 2, and leads to a variety of corollaries, including that the number of domino tilings of a k× 2k rectangle is congruent to 1 mod 4.

Implementing a by John F . Sowa Eileen

ions. Unlike type definitions, which specify necessary and sufficient conditions, schemata specify defaults and expectations. They are similar in structure, but different in use. Aggregations: New individuals may be defined as aggregations of parts. These aggregations are typically constructed by specializing the concepts of a lambda abstraction. Prototypes: A typical individual may be represen...

Two statements of the Duggan-Schwartz theorem

The Duggan-Schwartz theorem [Duggan and Schwartz, 1992] is a famous result concerning strategy-proof social choice correspondences, often stated as “A social choice correspondence that can be manipulated by neither an optimist nor a pessimist has a weak dictator”. However, this formulation is actually due to Taylor [2002], and the original theorem, at face value, looks rather different. In this...

Q&A: Eileen White on understanding autophagy.

They’re in development. Many companies are interested in autophagy inhibitors, possibly to augment the activity of their targeted therapies. A lot of people are using hydroxychloroquine as a shortcut. It interferes with lysosome function. Lysosomes are the garbage cans of the cell, and they degrade the cargo that’s delivered to them. The process of autophagy captures and delivers cargo—cellular...