In joint work with Michel Lassalle [C. R. Math. Acad. Sci. Paris 337 (9) (2003), 569–574], we recently presented an explicit expansion formula for Macdonald polynomials. This result was obtained from a recursion for Macdonald polynomials which in turn was derived by inverting the Pieri formula. We use these formulae here to explicitly compute the q, t-Littlewood– Richardson coefficients, thus s...

Ruiyin Song 1,2,*, Meiqin Zhang 1, Xiaohua Qian 1, Xiancheng Wang 1, Yong Ming Dai 2 and Junhua Chen 1 1 Ningbo Institute of Technology (NIT), Zhejiang University, Ningbo 315100, China; [email protected] (M.Z.); [email protected] (X.Q.); [email protected] (X.W.); [email protected] (J.C.) 2 School of Marine Science and Engineering, University of Plymouth, Plymouth PL4 8AA, UK; y.dai@plymouth...

Under 5 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 317 7.6 5 to 9 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 315 7.5 10 to 14 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 245 5.9 15 to 19 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 268 6.4 20 to 24 years . . . . . . . . . . . . . . . . . . . . ....

Institute of Molecular Medicine, Department of Life Science, National Tsing Hua University, Hsinchu, Taiwan, Republic of China Present address: National Health Research Institute, Maoli, Taiwan, Republic of China. *These two authors contribute equally to this work. The corresponding author. Department of Life Science, National Tsing Hua University, Hsinchu, Taiwan 30013, R.O.C. Telephone: 886-0...

admitting patients to the Royal Western Counties Hospital. In December 1957 there were 574 persons ascertained as mentally defective under the English Mental Deficiency Acts and under statutory supervision or guardianship. These patients were scattered in their own homes throughout Cornwall, and were visited and reported upon at quarterly or more frequent intervals by county social workers. The...

www.sciencemag.org SCIENCE VOL 327 29 JANUARY 2010 497 COVER Spore-bearing fungal parasites emerge from the digested corpses of three bdelloid rotifers. These freshwater invertebrates (length <0.5 millimeters) present an evolutionary puzzle because they have reproduced without sex for millions of years but have not been driven extinct by relentlessly coevolving parasites. Bdelloids can escape f...

Amanda M. Franklin,a Matthew B. Applegate,b,c Sara M. Lewis,a and Fiorenzo G. Omenettob,c,d,e aDepartment of Biology, Tufts University, 163 Packard Ave, Medford, MA 02155, USA, bDepartment of Biomedical Engineering, Tufts University, 4 Colby St, Medford, MA 02155, USA, cSilklab, Tufts University, 200 Boston Ave, Medford, MA 02155, USA, dDepartment of Electrical Engineering, Tufts University, 16...

Detergents are a viable method for earwax removal. Specifically, bile salts such as cholate and deoxycholate, work well for this function especially when placed in alkaline solution provided by sodium phosphate in the presence of 0.1 M sodium chloride. In vitro studies reveal these agents to quickly penetrate earwax, as visualized by yellowish color of the solution and lack of cohesion of the r...