Thesis (Ph.D.)--Washington State University. / Includes bibliographical references.

Thesis (S.T.D.)--Catholic University of America, 1922. / At head of title: Deus lux mea. Bibliography: p. 199-227.

NUNES, Alemay Soares. As permutações caóticas, o problema de Lucas e a teoria dos permanentes . 2015. 77 f. Dissertação (Mestrado em Matemática em Rede Nacional) – Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2015. / Submitted by Erivan Almeida (eneiro@bol.com.br) on 2015-11-23T16:36:58Z No. of bitstreams: 1 2015_dis_asnunes.pdf: 1578418 bytes, checksum: f79764af9a15912c1a014a9a4a4b1b0b (MD5) / Approved for entry into archive by Rocilda Sales(rocilda@ufc.br) on 2015-11-23T16:59:42Z (GMT) No. of bitstreams: 1 2015_dis_asnunes.pdf: 1578418 bytes, checksum: f79764af9a15912c1a014a9a4a4b1b0b (MD5) / Made available in DSpace on 2015-11-23T16:59:42Z (GMT). No. of bitstreams: 1 2015_dis_asnunes.pdf: 1578418 bytes, checksum: f79764af9a15912c1a014a9a4a4b1b0b (MD5) Previous issue date: 2015 / In this work we cover some counting techniques used to solve some classic problems in Combinatorics. We also show a link between the so called “rencontre problem”, the “ménage problem” and the permanent of a square matrix. / Neste trabalho abordamos algumas técnicas de contagem utilizadas para solucionar alguns problemas clássicos da Análise Combinatória. Mostramos também uma relação entre o problema das cartas mal endereçadas, o problema de Lucas e os permanentes de uma matriz quadrada.

Dissertação (mestrado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática, Programa de Mestrado Profissional em Matemática em Rede Nacional, 2015. / Submitted by Fernanda Alves Mignot (fernandamignot@hotmail.com) on 2015-11-05T19:12:02Z No. of bitstreams: 1 2015_GustavoCandeiaCosta.pdf: 843402 bytes, checksum: dd61c70734d3156b82f3a83934613a57 (MD5) / Approved for entry into archive by Raquel Viana(raquelviana@bce.unb.br) on 2015-11-05T19:33:12Z (GMT) No. of bitstreams: 1 2015_GustavoCandeiaCosta.pdf: 843402 bytes, checksum: dd61c70734d3156b82f3a83934613a57 (MD5) / Made available in DSpace on 2015-11-05T19:33:12Z (GMT). No. of bitstreams: 1 2015_GustavoCandeiaCosta.pdf: 843402 bytes, checksum: dd61c70734d3156b82f3a83934613a57 (MD5) / Seja (Fn)n≥0 a sequência de Fibonacci e z(n) a ordem de aparição nessa sequência definida como o menor k Є N tal que n divide Fk. Nesse trabalho, discutiremos algumas propriedades dessa função. O principal objetivo é provar que existem infinitas soluções para a equação z(n) = z(n + 2) e exibir fórmulas fechadas para z(Fm ± 1). Mas, antes disso, detalharemos propriedades dos números de Fibonacci e números de Lucas. ______________________________________________________________________________________________ ABSTRACT / Let (Fn)n≥0 be the Fibonacci sequence and let z(n) be the order of appearance in this sequence which is defined as the smallest k Є N such that n divides Fk. In this work, we shall discuss some properties of this function. The main goal is to prove the existence of infinitely many solutions to the equation z(n) = z(n + 2) as well as to exhibit closed formulas for z z(Fm ± 1). At first, we shall describe the properties of Fibonacci and Lucas numbers.

Dissertação (mestrado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática, 2014 / Submitted by Ana Cristina Barbosa da Silva (annabds@hotmail.com) on 2014-12-05T11:31:19Z No. of bitstreams: 1 2014_MarcusViniciusPereira.pdf: 1495143 bytes, checksum: 847eb280919f4cd43cfea39b1e5ac3ce (MD5) / Approved for entry into archive by Guimaraes Jacqueline(jacqueline.guimaraes@bce.unb.br) on 2014-12-05T14:32:22Z (GMT) No. of bitstreams: 1 2014_MarcusViniciusPereira.pdf: 1495143 bytes, checksum: 847eb280919f4cd43cfea39b1e5ac3ce (MD5) / Made available in DSpace on 2014-12-05T14:32:22Z (GMT). No. of bitstreams: 1 2014_MarcusViniciusPereira.pdf: 1495143 bytes, checksum: 847eb280919f4cd43cfea39b1e5ac3ce (MD5) / O objetivo deste texto é realizar um estudo sobre sequências numéricas mostrando exemplos de sequências não comumente estudadas no ensino médio inclusive as decorrentes da solução de determinados problemas. Abordamos também as relações de recorrência, apresentando alguns resultados sobre a resolução de tais recorrências e sugerindo atividades de investigação matemática em sala de aula. _________________________________________________________________________________ ABSTRACT / The aim of this paper is to conduct a study on numerical sequences showing ex-amples of sequences unusually studied in high school including those resulting from the solution of certain problems. We also analyze the recurrence relations, present some re-sults about solving such recurrences and suggest mathematical research activities in the classroom.

This study investigates, analyzes, and attempts to evaluate Robert Lucas Pearsall's (1795-1856) published articles and music as well as all available writings and music in manuscript form.

No description available.

The goal of this project was improve the fundamental understanding of the wood-resin interaction, by looking at the relationship between the resin wetting onto wood and the resulting penetration into wood lumens. Wetting was analyzed with the sessile drop method, which observed the initial contact angle and change in contact angle over 35s. Penetration was measured within each individual tracheid. The Lucas-Washburn equation analyzed the wetting and penetration by calculating the penetration and comparing it to the measured penetration. Wetting of four resins was compared on 3 species, to improve the understanding of adhesive wetting behavior. This study agreed with previous research, that the non-aqueous resin exhibited favorable wetting and presumably better penetration than aqueous resins, with exception of urea-formaldehyde. Wetting and penetration of pMDI was studied on 5 wood species using the Lucas-Washburn equation. The wetting behaviors exhibited grain and species effects, which had implications on the resin availability for flake/strand-based composite products. The greater surface energy of loblolly pine most likely accounted for the significantly greater penetration of loblolly pine compared to Douglas-fir. The calculated penetration, via the Lucas-Washburn equation, exceeded the measured penetration, but it was concluded that the Lucas-Washburn equation predicted penetration reasonably well. Wetting and penetration of phenol-formaldehyde and subsequent adhesives was compared on 3 wood species using the Lucas-Washburn equation. All contact angles were unfavorable due to a skin formation. The Lucas-Washburn equation did not predict any penetration; however, penetration was observed with all systems. The findings suggest that the system was too complex for the Lucas-Washburn equation to be able to predict accurately. / Master of Science / Although the wood-based composites industry has been in operation for over a century, fundamental aspects of the wood/resin interaction- what happens when the liquid resin touches wood- remain poorly understood. An important aspect of this wood/resin interaction is penetration, which is critical to the strength and durability of wood-based composites. The two types of resins used, oil-based and water-based, were observed on a variety of wood species, Douglas-fir, loblolly pine, spotted gum, European beech and yellow-poplar. When using the oil-based resin, penetration measurements were in reasonable agreement with theoretical predictions. However, when using the water-based resins, the theory predicted no penetration which contradicted measurements- a shallow penetration was clearly observed. This means that parameters modeled by theory were in error, and this is sensible because we expect water to transfer from resin into the dry wood. Consequently, controlling parameters such as resin viscosity, resin surface tension, and wood surface energy were changing. This contributes fundamental knowledge, providing a better understanding of a critical step in the manufacture of wood-based composites, the materials most North Americans use to build their homes.

Neste trabalho, exploramos os números de Fibonacci e de Lucas. A maioria dos resultados históricos sobre esses números são apresentados e provados. Ao longo do texto, um grande número de identidades a respeito dos números de Fibonacci e de Lucas são mostradas válidas para todos os inteiros. Sequências generalizadas de Fibonacci, a relação entre os números de Fibonacci e de Lucas com as raízes da equação x2 -x -1 = 0 e a conexão entre os números de Fibonacci e de Lucas com uma classe de matrizes em M2(R) são também exploradas. / In this work we explore the Fibonacci and Lucas numbers. The majority of the historical results are stated and proved. Along the text several identities concerning Fibonacci and Lucas numbers are shown valid for all integers. Generalized Fibonacci sequences, the relation between Fibonacci and Lucas numbers with the roots of the equation x2 -x -1 = 0 and the connection between Fibonacci and Lucas numbers with a class of matrices in M2(R) are also explored.

<p>Aim: The aim was to investigate the ambulance nurses experiences during a specific ambulance missions that led to usage of LUCAS ™.Method: Participating ambulance nurses were randomly assigned from a total sample group of 12 women and 39 men. Five women and five men participated. Qualitative interviews were conducted, where the Critical Incident Technique approach was used. Collected interviews were valued using qualitative content analysis.Result: Interview texts were divided into three domains, 10 subcategories could be identified which were sorted into three categories. A theme was finally formulated.The initial alarm data from SOS Alarm is important for the ambulance nurses preparation. There where cardiac arrest situations when the work went well, as well as situations where problems arose. The informants expressed that they should practice on LUCAS ™ to a greater extent than they now are doing. Staff in the emergency room, some time was perceived as stressful and they did not listen. The informants expressed frustration with the major administrative tasks after a LUCAS™ case, on the other hand, the "team spirit" where highlighted, they solve the task together.Conclusion: Developments during ambulance missions where LUCAS ™ will be used depends on, alarm data, resources, situation at the scene, planning, roles, supervision, handling of LUCAS ™ and Case Report Form, relatives and viewer reactions, the receipt at the emergency department and finally that ambulance staff cooperates after the LUCAS ™ mission.</p> / <p>Syfte:<strong> </strong>Syftet var att undersöka ambulanssjuksköterskors upplevelser under ett bestämt ambulansuppdrag som ledde fram till begagnande av LUCAS™.</p><p>Metod: Deltagande ambulanssjuksköterskor lottades ur en total urvalsgrupp bestående av 12 kvinnor och 39 män. Fem kvinnor och<strong> </strong>fem män deltog. Kvalitativa intervjuer genomfördes, där Critical Incident Technique metoden användes. Insamlade intervjudata värderades med hjälp av kvalitativ innehållsanalys.</p><p>Resultat:<strong> </strong>Intervjutexten kunde delas in i tre domäner, 10 underkategorier kunde identifieras som sorterades i tre kategorier. Slutligen formulerades ett tema. De initiala larmuppgifter från SOS Alarm är viktiga för ambulanssjuksköterskornas förberedelser. Det förekom hjärtstoppssituationer där arbetet gick bra, likväl situationer där problem uppstod. Informanterna uttryckte att de borde öva på LUCAS™ i större utsträckning än de gör i nu läget. Vid en del situationer upplevdes mottagande personal på akutmottagningen som stressade och att de inte lyssnade. Betecknande för informanternas upplevelser vad gäller de administrativa uppgifterna efter LUCAS™ uppdraget var inte positivt, dock betonades "team work".</p><p>Slutsats: Utvecklingen under ambulansuppdrag där LUCAS™ kommer till användning är beroende av; larmfakta, resurser, situationen på plats, planering, roller, arbetsledning, hanterandet av LUCAS™ och Case Report Form, anhöriga och åskådares reaktioner, mottagandet på akutmottagningen och slutligen att ambulanspersonalen samarbetar efter LUCAS™ uppdraget.</p>