Wavefunctions and counting formulas for quasiholes of clustered quantum Hall states on a sphere

The quasiholes of the Read-Rezayi clustered quantum Hall states are considered, for any number of particles and quasiholes on a sphere, and for any degree k of clustering. A set of trial wavefunctions, that are zero-energy eigenstates of a k+1-body interaction, and so are symmetric polynomials that vanish when any k+1 particle coordinates are equal, is obtained explicitly and proved to be both complete and linearly independent. Formulas for the number of states are obtained, without the use of (but in agreement with) conformal field theory, and extended to give the number of states for each angular momentum. An interesting recursive structure emerges in the states that relates those for k to those for k-1. It is pointed out that the same numbers of zero-energy states can be proved to occur in certain one-dimensional models that have recently been obtained as limits of the two-dimensional k+1-body interaction Hamiltonians, using results from the combinatorial literature.Comment: 9 pages. v2: minor corrections; additional references; note added on connection with one-dimensional Hamiltonians of recent interes

The aerodynamic characteristics of a family of related hovercraft shapes

The handling qualities of hovercraft indicate the need for a better understanding of the influence of the basic aerodynamic characteristics. This report is the first of a series in which the aerodynamic characteristics of hovercraft shapes are studied with particular reference to current design variables starting with simple solid block models and progressing to more sophisticated hollow models having cushion efflux and air-induction

Review of \u3cem\u3eProfessional Indian: The American Odyssey of Eleazar Williams\u3c/em\u3e by Michael Leroy Oberg

Reviews the book Professional Indian: The American Odyssey of Eleazar Williams (Philadelphia: University of Pennsylvania Press, 2015) by Michael Leroy Oberg

Review of \u3cem\u3eSarah Osborn\u27s World: The Rise of Evangelical Christianity in Early America\u3c/em\u3e by Catherine A. Brekus

Reviews the book Sarah Osborn\u27s World: The Rise of Evangelical Christianity in Early America (New Haven: Yale University Press, 2013) by Catherine A. Brekus

“Creatures of Mimic and Imitation”: The Liberty Tree, Black Elections, and the Politicization of African Ceremonial Space in Revolutionary Newport, Rhode Island

The article explains how African slaves changed the colonial space of 18th century Newport, Rhode Island by transporting and preserving cultural and political concepts and codes. African slaves who came directly to Newport frequently came from the Gold Coast and consisted of Mandingo, Mende, Ibo, Ashanti and Fante peoples. Although the city\u27s black population came from various regions and groups, its Africans could draw on a common cultural vocabulary that gave trees a sacred, and even cosmic, importance

Review of \u3cem\u3eThe Creation of the British Atlantic World\u3c/em\u3e edited by Elizabeth Mancke and Carole Shammas

Reviews the book The Creation of the British Atlantic World (Baltimore: Johns Hopkins University Press, 2005) edited by Elizabeth Mancke and Carole Shammas

Review of \u3cem\u3eThe Forging of Races: Race and Scripture in the Protestant Atlantic World, 1600-2000\u3c/em\u3e by Colin Kidd

Reviews the book, The Forging of Races: Race and Scripture in the Protestant Atlantic World, 1600-2000 (New York: Cambridge University Press, 2006) by Colin Kidd

Christian Missions and Colonial Empires Reconsidered: A Black Evangelist in West Africa, 1766-1816

The article presents an exploration into the work of the late 18th-century West African Anglican missionary Philip Quaque and the relationship between imperialism and religion during the colonial era. The author points out and criticizes the dominant historiographical trend of over-conflating White imperialism with Christian missions. Quaque\u27s life and writings are examined, highlighting the lack of forced cultural conversion within his missionary activities. Discussion is also given regarding the complex identity dynamics within Quaque as a Christian and as an African