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Biographical Sketch of Spencer Fullerton Baird
Spencer Fullerton Baird was born in Reading, Pennsylvania, February 3, 1823. In 1834 he was sent to a Quaker boarding-school kept by Dr. McGraw, at Port Deposit, Maryland, and the year following to the Reading Grammar School. In 1836 he entered Dickinson College, and was graduated at the age of seventeen. After leaving college, his time for several years was devoted to studies in general natural history, to long pedestrian excursions for the purpose of observing animals and plants and collecting specimens, and to the organization of a private cabinet of natural history, which a few years later became the nucleus of the museum of the Smithsonian Institution. During this period he published a number of original papers on natural history. He also read medicine with Dr. Middleton Goldsmith, attending a winter course of lectures at the College of Physicians and Surgeons, in New York, in 1842. His medical course was never formally completed, although in 1848 he received the degree of M. D., honoris causa, from the Philadelphia Medical College. In 1845 he was chosen professor of natural history in Dickinson College, and in 1846 his duties and emoluments were increased by election to the chair of natural history and chemistry in the same institution. In 1848 he declined a call to the professorship of natural science in the University of Vermont. In 1849 he undertook his first extensive literary work, translating and editing the text for the "Iconographic Encyclopedia," an English version of Heck's Bilder Atlas, published in connection with Brockhaus's Conversations Lexikon
Doing pedagogical research in engineering
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Hypercubes, Leonard triples and the anticommutator spin algebra
This paper is about three classes of objects: Leonard triples,
distance-regular graphs and the modules for the anticommutator spin algebra.
Let \K denote an algebraically closed field of characteristic zero. Let
denote a vector space over \K with finite positive dimension. A Leonard
triple on is an ordered triple of linear transformations in
such that for each of these transformations there exists a
basis for with respect to which the matrix representing that transformation
is diagonal and the matrices representing the other two transformations are
irreducible tridiagonal. The Leonard triples of interest to us are said to be
totally B/AB and of Bannai/Ito type.
Totally B/AB Leonard triples of Bannai/Ito type arise in conjunction with the
anticommutator spin algebra , the unital associative \K-algebra
defined by generators and relations
Let denote an integer, let denote the hypercube of diameter
and let denote the antipodal quotient. Let (resp.
) denote the Terwilliger algebra for (resp.
).
We obtain the following. When is even (resp. odd), we show that there
exists a unique -module structure on (resp.
) such that act as the adjacency and dual adjacency
matrices respectively. We classify the resulting irreducible
-modules up to isomorphism. We introduce weighted adjacency
matrices for , . When is even (resp. odd) we show
that actions of the adjacency, dual adjacency and weighted adjacency matrices
for (resp. ) on any irreducible -module (resp.
-module) form a totally bipartite (resp. almost bipartite) Leonard
triple of Bannai/Ito type and classify the Leonard triple up to isomorphism.Comment: arXiv admin note: text overlap with arXiv:0705.0518 by other author
Optimal Intellectual Property Rights Exhaustion and Humanitarian Assistance during a National Health Emergency
We analyze policy options during an international health emergency to provide consumers in least developed countries access to patented life-extending pharmaceuticals. We show that a properly specified tariff against re?xports achieves optimal price dispersion and is shown to depend on the nature of demand, product development costs and humanitarian concerns by western citizens for patients inside a health emergency zone. A tariff dominates regional exhaustion for achieving optimal price dispersion, improves the efficiency properties of a patent for covering product development cost and is a more efficient tool for internalizing a humanitarian externality than a targeted consumption subsidy.Intellectual Property Rights, AIDS, Developing Countries, WTO
Optimal Intellectual Property Rights Protection and Humanitarian Assistance during and International Health Emergency
We analyze policy options during an international health emergency to provide consumers in least developed countries access to patented life-extending pharmaceuticals. We show that a properly specified tariff against reexports achieves optimal price dispersion and is shown to depend on the nature of demand, product development costs and humanitarian concerns by western citizens for patients inside a health emergency zone. A tariff dominates regional exhaustion for achieving optimal price dispersion, improves the efficiency properties of a patent for covering product development cost and is a more efficient tool for internalizing a humanitarian externality than a targeted consumption subsidy.Intellectual Property Rights, AIDS, Developing Countries, WTO
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