System requirements: Adobe Acrobat Reader. Accompanied by 4 recitals, recorded June 20, 2005, Apr. 3, 2006, Apr. 2, 2007, and June 16, 2008. Includes bibliographical references (p. 41-43).

This project has come about because of the need for Australian saxophonists to develop an awareness of saxophone history and culture in their own country. Dulcie Holland, William Lovelock and Margaret Sutherland were artists who were active and influential in the areas of performance, composition and pedagogy, helping to create and promote the musical arts in Australia during the first half of the twentieth century. The high regard in which they are held should be evidence enough that their works for saxophone must be performed by their fellow Australians as a part of a well rounded, international exposure to the very best repertoire available. Saxophonists in Australia will be able to place themselves in a relevant world context only when they are fully aware of the heritage their instrument has in their own country. The present editions (created using the type-setting software Sibelius 4) seek to make performance considerably easier by eliminating the need to use the composer's autograph manuscripts, which are sometimes difficult to read and understand, due to poor hand-copying or repeated photocopying which has subsequently made some pages illegible. The accompanying performance guides are designed as introductions, the first step for the young student wishing to tackle these national treasures.

This paper investigates the usage of traditional compositional techniques on Concerto for Trumpet and Orchestra by William Lovelock. (1899-1986) Like many other twentieth-century composers for trumpet Lovelock wrote in a romantic style using traditional forms. As a composer, Lovelock is largely under-appreciated. This paper explains Lovelock's compositional techniques and provides performers with a guide to help prepare the piece for performance.

Thesis (M.L.A.)--Virginia Polytechnic Institute and State University, 1994. / Vita. Abstract. Includes bibliographical references (leaves 30-31). Also available via the Internet.

Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2014-09-09T12:52:18Z No. of bitstreams: 1 Nei Freitas Nunes Neto.pdf: 1548297 bytes, checksum: d2a73a187d3959051872d9f5a0509926 (MD5) / Approved for entry into archive by Fatima Cleômenis Botelho Maria (botelho@ufba.br) on 2014-09-09T13:08:16Z (GMT) No. of bitstreams: 1 Nei Freitas Nunes Neto.pdf: 1548297 bytes, checksum: d2a73a187d3959051872d9f5a0509926 (MD5) / Made available in DSpace on 2014-09-09T13:08:16Z (GMT). No. of bitstreams: 1 Nei Freitas Nunes Neto.pdf: 1548297 bytes, checksum: d2a73a187d3959051872d9f5a0509926 (MD5) / Gaia é um programa de pesquisa científico, que foi proposto pelo químico inglês James Lovelock, no final da década de 1960, a partir de estudos desenvolvidos por ele para a NASA, com o objetivo de formular métodos para a detecção de vida em outros planetas. O programa de pesquisa foi fortemente rejeitado pela comunidade científica nos primeiros anos de sua história, ao passo que foi recebido com entusiasmo por grupos espiritualistas e ambientalistas. Entretanto, a rejeição da comunidade científica tem sido significativamente reduzida, sobretudo a partir de meados dos anos 1980 e anos 1990. Neste trabalho, temos como objetivo oferecer uma abordagem consistente para as atribuições e explicações funcionais no pograma de pesquisa. Assim, para alcançar o objetivo, realizamos nosso trabalho em duas vertentes. Na primeira, apresentamos uma discussão sobre o surgimento e o desenvolvimento de Gaia enquanto um programa de pesquisa, as questões epistemológicas suscitadas por ele e suas implicações para a compreensão do sistema Terra. Na segunda vertente, discutimos as atribuições e explicações funcionais na filosofia da biologia, com ênfase para duas teorias: a abordagem etiológica selecionista de Larry Wright e a análise funcional de Robert Cummins. Defendemos que as duas teorias são empreitadas distintas e que não devem ser unificadas numa única abordagem sobre as funções. Isto levanos a apoiar a tese do consenso dualista de Godfrey-Smith. Apresentamos também a crítica de Cummins às abordagens etiológicas selecionistas, as quais ele rotulou de neo-teleologia. Apesar de algumas das críticas de Cummins localizarem corretamente falhas naquela abordagem, outras críticas perdem de vista pontos importantes das abordagens etiológicas de função, que não podem ser deixadas de lado. A partir das críticas de ambos os lados do debate filosófico, a compreensão sobre função na biologia, é sobremaneira enriquecida. Em seguida, a partir das discussões anteriores, nos voltamos especificamente para as atribuições e explicações funcionais em Gaia, construindo uma síntese dos argumentos apresentados nas duas vertentes do trabalho. Buscamos uma solução para a questão teórica investigada a partir da perspectiva sobre as funções de Cummins. Para este filósofo, função é uma capacidade de um ítem à qual recorremos para compreender a realização de uma capacidade do sistema que o contém. Após discutir questões como decomposição e localização em sistemas complexos e em Gaia, aplicamos a teoria de Cummins sobre as funções a um subsistema de Gaia, o sistema proposto pela hipótese CLAW, que interliga algas oceânicas, compostos voláteis de enxofre, nuvens sobre os oceanos e o clima global. O resultado de tal aplicação é um modelo funcional do sistema, onde as capacidades dos componentes são tratadas como as funções destes e explicam, juntamente com a organização do sistema, a realização da capacidade sistêmica em questão, a saber, a produção de nuvens sobre os oceanos. O modelo proposto permite concluir que a análise funcional de Cummins fornece um quadro teórico consistente para a construção de explicações funcionais consistentes em Gaia e pode contribuir também para a superação do problema das explicações teleológicas no programa de pesquisa. Por fim, consideramos as implicações de Gaia para o ensino de ciências, especialmente o de biologia, na medida em que ela já está presente nos livros didáticos de biologia do ensino médio. Além disso, Gaia pode ser uma interessante via de inserção de história e filosofia da ciência no ensino de ciências, assim como pode contribuir para a abordagem de temas ambientais.

Some branches of quantum gravity demand the existence of higher dimensions and the addition of higher curvature terms to the gravitational Lagrangian in the form of the Lovelock polynomials. In this thesis we investigate some of the classical properties of Lovelock gravity. We first derive the Hamiltonian for Lovelock gravity and find that it takes the same form as in general relativity when written in terms of the Misner-Sharp mass function. We then minimally couple the action to matter fields to find Hamilton’s equations of motion. These are gauge fixed to be in the Painleve-Gullstrand co–ordinates and are well suited to numerical studies of black hole formation. We then use these equations of motion for the massless scalar field to study the formation of general relativistic black holes in four to eight dimensions and Einstein-Gauss-Bonnet black holes in five and six dimensions. We study Choptuik scaling, a phenomenon which relates the initial conditions of a matter distribution to the final observables of small black holes. In both higher dimensional general relativity and Einstein-Gauss-Bonnet gravity we confirm the existence of cusps in the mass scaling relation which had previously only been observed in four dimensional general relativity. In the general relativistic case we then calculate the critical exponents for four to eight dimensions and find agreement with previous calculations by Bland et al but not Sorkin et al who both worked in null co–ordinates. For the Einstein-Gauss-Bonnet case we find that the self-similar behaviour seen in the general relativistic case is destroyed. We find that it is replaced by some other form of scaling structure. In five dimensions we find that the period of the critical solution at the origin is proportional to roughly the cube root of the Gauss-Bonnet parameter and that there is evidence for a minimum black hole radius. In six dimensions we see evidence for a new type of scaling. We also show, from the equations of motion, that there is reason to expect qualitative differences between five and higher dimensions.

Some branches of quantum gravity demand the existence of higher dimensions and the addition of higher curvature terms to the gravitational Lagrangian in the form of the Lovelock polynomials. In this thesis we investigate some of the classical properties of Lovelock gravity. We first derive the Hamiltonian for Lovelock gravity and find that it takes the same form as in general relativity when written in terms of the Misner-Sharp mass function. We then minimally couple the action to matter fields to find Hamilton’s equations of motion. These are gauge fixed to be in the Painleve-Gullstrand co–ordinates and are well suited to numerical studies of black hole formation. We then use these equations of motion for the massless scalar field to study the formation of general relativistic black holes in four to eight dimensions and Einstein-Gauss-Bonnet black holes in five and six dimensions. We study Choptuik scaling, a phenomenon which relates the initial conditions of a matter distribution to the final observables of small black holes. In both higher dimensional general relativity and Einstein-Gauss-Bonnet gravity we confirm the existence of cusps in the mass scaling relation which had previously only been observed in four dimensional general relativity. In the general relativistic case we then calculate the critical exponents for four to eight dimensions and find agreement with previous calculations by Bland et al but not Sorkin et al who both worked in null co–ordinates. For the Einstein-Gauss-Bonnet case we find that the self-similar behaviour seen in the general relativistic case is destroyed. We find that it is replaced by some other form of scaling structure. In five dimensions we find that the period of the critical solution at the origin is proportional to roughly the cube root of the Gauss-Bonnet parameter and that there is evidence for a minimum black hole radius. In six dimensions we see evidence for a new type of scaling. We also show, from the equations of motion, that there is reason to expect qualitative differences between five and higher dimensions.

Cette thèse est consacrée au problème d’évolution des théories de gravité modifiée : après avoir rappelé ce qu’il en est pour la Relativité Générale (RG), nous exposons le formalisme n + 1 des théories ƒ(R), Brans-Dicke et tenseur-scalaire et redémontrons un résultat connu : le problème de Cauchy est bien posé pour ces théories, et les équations de contrainte se réduisent à celles de la RG avec un champ de matière. Puis nous effectuons la même décomposition n + 1 pour les théories de Lovelock et, ce qui est nouveau, ƒ(Lovelock). Nous étudions ensuite les équations de contrainte des théories de Lovelock et montrons qu’elles sont, dans le cas conformément plat et symétrique en temps, la prescription d’une somme de σk-courbures. Afin de résoudre cette équation de prescription, nous introduisons une nouvelle famille de polynômes semi-symétriques homogènes et développons des résultats de concavité pour ces polynômes. Nous énonçons une conjecture qui, si elle était avérée, nous permettrait de résoudre l’équation de prescription dans de nombreux cas : ∀ P;Q ∈ ℝ[X], avec deg P = deg Q = p, P et Q sont scindés => p ∑ k=0 P(k) Q(p-k) est scindé / This thesis is devoted to the evolution problem for modified gravity theories. After having explained this problem for General Relativity (GR), we present the n + 1 formalism for ƒ(R) theories, Brans-Dicke and scalar-tensor theories. We recall a known result: the Cauchy problem for these theories is well-posed, and the constraint equations are reduced to those of GR with a matter field. Then we proceed to the same n+1 decomposition for Lovelock and ƒ(Lovelock) theories, the latter being an original result. We show that in the locally conformally flat timesymmetric case, they can be written as the prescription of a sum of σk-curvatures. In order to solve the prescription equation, we introduce a new family of homogeneous semisymmetric polynomials and prove some concavity results for those polynomials. We express the following conjecture: if this is true, we are able to solve the prescription equation in many cases. ∀ P;Q ∈ ℝ[X], avec deg P = deg Q = p, P and Q are real-rooted => p ∑ k=0 P(k) Q(p-k) is real-rooted:

Thesis (Ph. D.)--University of Washington, 1988. / Vita. Bibliography: leaves [235]-255.

On étudie différentes notions de courbure riemanniennes: la $p$-courbure, qui interpole entre courbure scalaire et courbure sectionnelle, les courbures de Gauss-Bonnet-Weyl qui constituent une autre interpolation allant de la courbure scalaire <br />jusqu'à l'intégrand de Gauss-Bonnet.<br />Les $(p,q)$-courbures que nous dégageons englobent toutes ces notions. On examine ensuite le terme en courbure de la formule classique de Weitzenböck. On étudie aussi les propriétés de positivité de la $p$-courbure, la seconde courbure de Gauss-Bonnet-Weyl, la courbure d'Einstein et de la courbure isotrope.