198,683 research outputs found
Julius Waties Waring Papers - Accession 253
No full textJulius Waties Waring (1880-1968) was a Charleston attorney, federal district court judge, and civil rights activist. He oversaw several pivotal civil rights cases in South Carolina as a federal district court judge. The Julius Waties Waring Papers consist of transcripts of interviews with Waring conducted by Dr. Harlan B. Phillips and Louis M. Starr of the Oral History Research Office at Columbia University in New York City, discussing such subjects as Waring’s career as an attorney in Charleston, South Carolina, appointment to the Federal District Court, and judicial cases with which he was involved relating to bus segregation. There are also resolutions, newspaper clippings, biographical data, opinions of Judge Waring, speeches, correspondence, and other papers relating to his judicial career. The originals of these materials are located at the University of North Carolina at Chapel Hill.https://digitalcommons.winthrop.edu/manuscriptcollection_findingaids/1216/thumbnail.jp
Letter, H. L. Pinckney to I. M. Campbell
No full text1 item 0.05 cf. The Letter, H. L. Pinckney to I. M. Campbell, was written on June 23, 1832 from Henry Laurens Pinckney, Intendant (mayor) of Charleston, South Carolina to Dr. I. M. Campbell, president of the Medical Society of South Carolina. Pinckney calls on the Medical Society of South Carolina to advise the city council on the best methods of preventing the introduction of and/or mitigating the effects of cholera which was occurring in Canada and which the city feared was on its way to Charleston. Pinckney entreats Campbell to report to the council with the Society's recommendations so that the necessary sanitary and quarantine measures could be instituted
Waring numbers over finite commutative local rings
No full textIn this paper we study Waring numbers gR(k) for (R,m) a finite commutative local ring with identity and k∈N with (k,|R|)=1. We first relate the Waring number gR(k) with the diameter of the Cayley graphs GR(k)=Cay(R,UR(k)) and WR(k)=Cay(R,SR(k)) with UR(k)={xk:x∈R⁎} and SR(k)={xk:x∈R×}, distinguishing the cases where the graphs are directed or undirected. We show that in both cases (directed or undirected), the graph GR(k) can be obtained by blowing-up the vertices of GFq (k) a number |m| of times, with independence sets the cosets of m, where q is the size of the residue field R/m. Then, by using the above blowing-up, we reduce the study of the Waring number gR(k) over the local ring R to the computation of the Waring number g(k,q) over the finite residue field R/m≃Fq. In this way, using known results for Waring numbers over finite fields, we obtain several explicit results for Waring numbers over finite commutative local rings with identity.Fil: Podesta, Ricardo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Videla Guzman, Denis Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentin
Towards an inclusive teacher education programme: exposing student teachers to how they learn
No full text
A note on the computation of an actuarial Waring formula in the finite-exchangeable case
No full textWe present in this paper the actuarial Waring formula, which is used in several fields, like life-insurance or credit risk. In a particular framework where considered random variables are exchangeable, we show that some problems can occur when using this formula. We propose alternative recursions in order to improve the complexity of the calculations, and to cope with the numerical instability of the formula.
Combinatorial proof of Girard-Waring formula
No full text\noindent The well-known and celebrated identity of Girard (1629) and Waring (1762) states that
and can be easily proven algebraically (see H.W. Gould, The Girard--Waring power sum formulas for symmetric functions and Fibonacci sequences,} Fibonacci Quart. 37 (1999), no. 2, 135--140). In this note, we provide a combinatorial proof of this identity
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