For each skew shape we define a nonhomogeneous symmetric function, generalizing a construction of Pak and Postnikov [9]. In two special cases, we show that the coefficients of this function when expanded in the complete homogeneous basis are given in terms of the (reduced) type of k-divisible noncrossing partitions. Our work extends Haiman’s notion of a parking function symmetric function [5, 10].

s. Geochim. Cosmochim. Acta 72(12S). Morris, R.C. (1993) Genetic modeling for banded iron-formation of the Hamersley Group, Pilbara Craton, Western Australia. Precambrian Res. 60:243–286. Ohmoto, H. (2004) Archean atmosphere, hydrosphere, and biosphere. In The Precambrian Earth: Tempos and Events, Vol. 12, edited by P.G. Erickson, W. Alterman, D.R. Nelson, W.U. Mueller, and O. Catuneanu, Elsevi...

Intelligent Automation Corporation (IAC) is developing for the Air Force a system to detect the onset of turbine engine augmentor instabilities known as “rumble” and “screech” for test cells. These combustion instabilities can be potentially harmful to the engine and are known to cause premature failures in gas turbine components. The approach developed by IAC involves using a unique combinatio...

drich, P Jenniskens, and M. H. Shaddad, Geophysical Laboratory, Carnegie Institution, Washington, DC 20015 ([email protected]), NASA Johnson Space Flight Center, 2101 NASA Parkway, Houston, TX 77058, Department of Chemistry, Fordham University, 441 East Fordham Road, Bronx, NY 10458, Carl Sagan Center, SETI Institute, 515 North Whisman Road, Mountain View, CA 94043, Department of Physics, Unive...

A 38 year old man with a huge unruptured sinus of Valsalva aneurysm, complicated with severe valvar aortic regurgitation, is described. The aneurysm was detected by echocardiography in the asymptomatic patient who presented with an intense precordial diastolic rumble after a road traYc accident. The patient had successful surgery for the aneurysm and aortic valve replacement. Possible aetiologi...

André proved that the number of alternating permutations on {1, 2, ..., n} is equal to the Euler number En. A refinement of André’s result was given by Entringer, who proved that counting alternating permutations according to the first element gives rise to Seidel’s triangle (En,k) for computing the Euler numbers. In a series of papers, using generating function method and induction, Poupard ga...