A number of authors have proved special cases of Ci as well as special cases of more general propositions [l, 2, 3, 5, 6, 7, 8] . Both Ci and all of the generalizations of it which have been considered in the literature follow from Theorem 1 which appears below. In [2] it is observed that if P is a smallest counterexample to Ci, then there is associated with P , an anticommutative (not necessar...

Foreigners, including displaced persons, often have limited health-care access, especially to HIV services. Outcomes of antiretroviral therapy (ART) in South Africans and foreigners were compared at a Johannesburg non-governmental clinic. Records were reviewed of 1297 adults enrolled between April 2004 and March 2007 (568 self-identified foreigners, 431 South Africans citizens and 298 with unkn...

We study the existence problem for Novikov algebra structures on finite-dimensional Lie algebras. We show that a Lie algebra admitting a Novikov algebra is necessarily solvable. Conversely we present a 2-step solvable Lie algebra without any Novikov structure. We use extensions and classical r-matrices to construct Novikov structures on certain classes of solvable Lie algebras.

A classification is given of all spreads in PG(3,#), q = 2, whose associated translation planes admit linear collineation groups of order q(q -hi) .

We consider an extended nonlinear Schrödinger equation with higher-order odd (third order) and even (fourth order) terms with variable coefficients. The resulting equation has soliton solutions and approximate rogue wave solutions. We present these solutions up to second order. Moreover, specific constraints on the parameters of higher-order terms provide integrability of the resulting equation...

Falls are a significant risk factor during pregnancy, as over 27% of women fall while pregnant [1, 2]. Falls are a leading cause of trauma-related hospital admissions during pregnancy [3]. Approximately 40% of the falls happen during stair locomotion [1, 2]. Additionally, evidence indicates that pregnant women who fall may have altered neuromuscular control compared to pregnant non-fallers and ...

Randall School, by authority of the Board of Education granted at the request of the City Superintendent, and under the direction of Mr. Charles H. Brelsford, Superintendent of District No. 3, Philadelphia, Pa.* Two weeks after its organization sixteen children had been placed in the class, ten boys and six girls. They came from the first three grades and ranged in age from seven to thirteen ye...

In England and Wales hospital admissions for childhood asthma almost trebled over the period 1975-81. This may have reflected a true increase in the incidence of acute asthma, a swing from primary to hospital care, or both. The trend was not due to a change in diagnostic fashion. Monthly admissions showed a pronounced seasonal variation with fewest admissions in winter, rising in spring and ear...

A payoff for a game is partnered if it admits no asymmetric dependencies. We introduce the partnered core of a game without side payments and show that the partnered core of a balanced game is nonempty. The result is a strengthening of Scarf 's Theorem on the nonemptiness of the core of a balanced game without side payments. In addition, it is shown that if there are at most a countable number ...