Portrait. Martin Beck

Beck ,

We discuss and give elementary proofs of results of Brion and of LawrenceVarchenko on the lattice-point enumerator generating functions for polytopes and cones. While this note is purely expository, its contains a new proof of Brion’s Theorem using irrational decompositions.

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Born in 1944, I grew up in a world in which polio was both a gripping fear and real threat. Then in a matter of a few years-polio was eradicated by a vaccine developed by Jonas Salk. Later I learned that Salk's efforts were built on pioneering work of many others, including John Enders, Thomas Weller and Frederick Robbins (Nobelists, 1954), and David Bodian, who pioneered studies of polio patho...

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Beck JD, Offenbacher S

Materials and Methods: 1391 individuals (age 45-64 years old) randomly selected from Dental Atherosclerosis Risk in Communities Study (Dental ARIC). Clinical measures collected included PD, CAL on six sites for all teeth. Case definition of periodontal disease consists of following three degrees; 1) severe periodontitis: >2 interproximal sites ( not on same tooth) with > 6mm CAL and 1 or more i...

Beck Cognitive Schema Depression