Study of the Effect of a Closed-End Side Branch on Sinusoidally Perturbed Flow of Liquid in a Line

Classical undamped acoustic-wave theory was used to determine analytical relations among sinusoidal perturbations of pressure and flow at the ends of a hydraulic-transmission line having a closed-end branch of arbitrary length attached at an arbitrary point. Experimental data were obtained for the equilateral case (a branch half as long as the main line connected to the main line at the midpoint) at mean flow speeds of 5 to 10 feet per second. Measured pressure-perturbation ratios agreed closely with analytical predictions. As frequencies for which the branch length was an odd multiple of 1/4 wavelength, waves in the main line were almost completely reflected at the junction point

Analogs of Schur functions for rank two Weyl groups obtained from grid-like posets

In prior work, the authors, along with M. McClard, R. A. Proctor, and N. J. Wildberger, studied certain distributive lattice models for the "Weyl bialternants" (aka "Weyl characters") associated with the rank two root systems/Weyl groups. These distributive lattices were uniformly described as lattices of order ideals taken from certain grid-like posets, although the arguments connecting the lattices to Weyl bialternants were case-by-case depending on the type of the rank two root system. Using this connection with Weyl bialternants, these lattices were shown to be rank symmetric and rank unimodal, and their rank generating functions were shown to have beautiful quotient-of-products expressions. Here, these results are re-derived from scratch using completely uniform and elementary combinatorial reasoning in conjunction with some new combinatorial methodology developed elsewhere by the second listed author.Comment: 15 page

Guide to Daily Correspondence of the Coast, Rift Valley, Central and Northeastern Provinces : Kenya National Archives

The daily correspondence of the provincial and district officers of the East Africa Protectorate and Kenya Colony were microfilmed during the 1960s as part of a cooperative project between the Kenya National Archives and Syracuse University. … This guide was prepared at Syracuse University during 1982-84 under a grant from the National Endowment for the Humanities. It is an index to the follow collections of daily correspondence: Cost Province, 2nd series, 1894-1965: 150 reels Central Province, 1888-1964: 71 reels (1-40, 61-91) Rift Valley Province, 1894-1959: 61 reels Northeastern Province, 1909-63: 46 reel

Guide to daily correspondence of the Coast, Rift Valley, Central, and Northeastern Provinces : Kenya National Archives microfilm

The daily correspondence of the provincial and district officers of the East Africa Protectorate and Kenya Colony were microfilmed during the 1960s as part of a cooperative project between the Kenya National Archives and Syracuse University. This guide was prepared at Syracuse University during 1982-84 under a grant from the National Endowment for the Humanities. It is an index to the follow collections of daily correspondence: Cost Province, 2nd series, 1894-1965: 150 reels -- Central Province, 1888-1964: 71 reels (1-40, 61-91) -- Rift Valley Province, 1894-1959: 61 reels -- Northeastern Province, 1909-63: 46 reels. For more information, refer to the Kenya National Archives subject guide.https://surface.syr.edu/archiveguidekenya/1007/thumbnail.jp

A Guide to the Secretariat Circulars: Kenya National Archives Microfilm

The Secretariat Circulars are made up of five reels of microfilm that comprise Section 7, the last section of the Guide to the Kenya National Archives. Microfilm number: 2807.https://surface.syr.edu/books/1008/thumbnail.jp