102,357 research outputs found
Sharp Bound for the Erdős–Straus Non-averaging Set Problem
No full textA set of integers A is non-averaging if there is no element a in A which can be written as an average of a subset of A not containing a . We show that the largest non-averaging subset of { 1 , … , n } has size n 1 / 4 + o ( 1 ) , thus solving the Erdős–Straus problem. We also determine the largest size of a non-averaging set in a d -dimensional box for any fixed d . Our main tool includes the structure theorem for the set of subset sums due to Conlon, Fox and the first author, together with a result about the structure of a point set in nearly convex position
Mrs. B. Cochran, Mrs. Oscar Straus, Oscar Straus, Mrs. T. Roosevelt Jr., and B. Cochran
No full textPhoto shows Lucien L. Bonheur (far left), Oscar Straus, Bull Moose Party candidate for governor of New York in 1912, and Eleanor B. Roosevelt at Cochran's. (Source: Flickr Commons project, 2008, and Bain negative LC-B2-2481-2)Title from negative.Forms part of: George Grantham Bain Collection (Library of Congress).General information about the Bain Collection is available at http://hdl.loc.gov/loc.pnp/pp.ggbai
Letter, [Author unclear] to Paulina T. Merritt
No full textHandwritten letter to Paulina Merritt from an unknown author, October 1, 1876.
Postural lung volume reduction, expiratory flow limitation, and orthopnoea in diaphragmatic weakness: Preliminary observations
No full textExtremals of functions on graphs with applications to graphs and hypergraphs
No full textAbstractThe method used in an article by T. S. Matzkin and E. G. Straus [Canad. J. Math. 17 (1965), 533–540] is generalized by attaching nonnegative weights to t-tuples of vertices in a hypergraph subject to a suitable normalization condition. The edges of the hypergraph are given weights which are functions of the weights of its t-tuples and the graph is given the sum of the weights of its edges. The extremal values and the extremal points of these functions are determined. The results can be applied to various extremal problems on graphs and hypergraphs which are analogous to P. Turán's Theorem [Colloq. Math. 3 (1954), 19–30: (Hungarian) Mat. Fiz. Lapok 48 (1941), 436–452]
Femmes Médecins, t. II, n° 1 (1966), Les premières femmes médecins en Afrique du Nord, G. Montreuil-Straus, Femmes Médecins, p. 65
No full textOdier Dollfus Elisabeth. Femmes Médecins, t. II, n° 1 (1966), Les premières femmes médecins en Afrique du Nord, G. Montreuil-Straus, Femmes Médecins, p. 65. In: Femmes Diplômées, n°59, 1966. p. 119
Cutting'aesthetic teeth' : Flannery O'Connor's habit of art
No full textDissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Comunicação e ExpressãoEste trabalho foi sugerido pela afirmação de Flannery O'Connor que sua "dedicação estética" nasceu através do contato com Art and Scholasticism de Jacques Maritain. O propósito foi chegar a uma interpretação do sentido da frase. Uma investigação detalhada foi feita do conteúdo de Art and Scholasticism, posteriormente contrastada com os resultados de uma pesquisa feita em seus ensaios e suas cartas, o que revelou numerosos ecos de diversos trechos constando no texto de Maritain. Três pontos principais foram escolhidos como critérios na análise do hábito artístico de O'Connor: 1) a prática de arte implica uma luta; 2) a arte somente pode ser percebida pelos sentidos; e 3) a prática de arte exige do artista a dedicação indivisa à obra nascente. O estudo conclui que, para O'Connor, o brotar da dentição estética, através da leitura de Art and Scholasticism, significou que, ao perceber na análise da natureza da arte algo com que podia concordar, ela reconheceu tanto sua própria capacidade de tornar-se uma artista literária, quanto sua vontade de assumir a tarefa de desenvolver em sua pessoa o hábito de arte
A new record of Nebalia straus Risso, 1827 (Phyllocarida, Leptostraca) from the eastern Mediterranean
No full textA new record of the leptostracan, Nebalia straus Risso, 1827 (Phyllocarida, Leptostraca) is reported from specimens collected at two sampling stations in Izmir Bay, Aegean Sea coast of Turkey between 2001 and 2002. The species is characterized by having a long antennular flagellum that bears up to 11-12 articles (in mature females), a long antennular scale 2.5 times as long as wide, a second maxilla with an exopod slightly longer than the first article of the endopod, and a stout distal spine on the fourth article of the antennule (two in ovigerous females). N. straus is recorded here for the first time from the eastern Mediterranean
On generalized KKT points for the Motzkin-Straus program
No full textIn 1965, T. S. Motzkin and E. G. Straus established an elegant connection between the clique number of a graph and the global maxima of a quadratic program defined on the standard simplex. Over the years, this seminal finding has inspired a number of studies aimed at characterizing the properties of the (local and global) solutions of the Motzkin-Straus program. The result has also been generalized in various ways and has served as the basis for establishing new bounds on the clique number and developing powerful clique-finding heuristics. Despite the extensive work done on the subject, apart from a few exceptions, the existing literature pays little or no attention to the Karush-Kuhn-Tucker (KKT) points of the program. In the conviction that these points might reveal interesting structural properties of the graph underlying the program, this paper tries to fill in the gap. In particular, we study the generalized KKT points of a parameterized version of the Motzkin-Straus program, which are defined via a relaxation of the usual first-order optimality conditions, and we present a number of results that shed light on the symmetries and regularities of certain substructures associated with the underlying graph. These combinatorial structures are further analyzed using barycentric coordinates, thereby providing a link to a related quadratic program that encodes local structural properties of the graph. This turns out to be particularly useful in the study of the generalized KKT points associated with a certain class of graphs that generalize the notion of a star graph. Finally, we discuss the associations between the generalized KKT points of the Motzkin-Straus program and the so-called replicator dynamics, thereby offering an alternative, dynamical-system perspective on the results presented in the paper.27 pages, 3 figure
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