All crop plants are polyploid and some genomes have been duplicated more recently than others. Advancements in cytogenetic and molecular tools, including high-density genetic mapping, fl orescent in situ hybridization, and genome and EST sequencing, have enabled new insights into genome composition and the history of genome duplications in crop plants. We review this evidence and discuss the re...

Many authors, I suspect, share my perception that they do not know their own book until they see the responses it provokes. Only then does it become clear what themes in the book matter, what is controversial, and, of course, what is mistaken, confusing, or self-contradictory. For that reason, I am particularly grateful for the careful readings and thoughtful criticisms of Legal Ethics and Huma...

Write R(x, y) = Γ(x + y) Γ(x). Inequalities for this ratio have interesting applications, and have been considered by a number of writers over a long period. In a Monthly article [7], Wendel showed that x(x + y) y−1 ≤ R(x, y) ≤ x y for 0 ≤ y ≤ 1. (1) Wendel's method was an ingenious application of Hölder's inequality to the integral definition of the gamma function. Note that both inequalities ...

All crop plants are polyploid and some genomes have been duplicated more recently than others. Advancements in cytogenetic and molecular tools, including high-density genetic mapping, fl orescent in situ hybridization, and genome and EST sequencing, have enabled new insights into genome composition and the history of genome duplications in crop plants. We review this evidence and discuss the re...

Carlijn B. M. Kamphuis*, Katrina Giskes, Gert-Jan de Bruijn, Wanda Wendel-Vos, Johannes Brug and Frank J. van Lenthe Department of Public Health, Erasmus University Medical Centre, Rotterdam, The Netherlands Department of Health Education and Health Promotion, Maastricht University, The Netherlands Centre for Prevention and Health Services Research, National Institute for Public Health and the ...