This dissertation investigated the meanings students from beginner jazz ensembles ascribe to learning jazz improvisation through Dalcroze-inspired activities. Over the course of ten weeks, students from three respective beginner jazz ensembles were exposed to Dalcroze-inspired activities as the medium for learning to improvise. The sessions were held on a weekly basis, facilitated by the researcher. Hermeneutic phenomenology guided the research procedures. In-depth interviews, personal reflections, participant reflection essays as well as video recordings were the methods of data collection. Through the use of Atlas.ti 7, the data were organized and analysed by means of coding and categorisation, which led to the identification of five themes. The five themes that emerged from the data analysis were: feeling the music in my body, supporting development as a jazz musician, building character, building relationships, and stimulating and motivating learning. This study provides an understanding of the connection between jazz improvisation and Dalcroze Eurhythmics as well as how students experience learning jazz improvisation through Dalcrozeinspired activities. Through this understanding this study proposes a more holistic approach to jazz improvisation teaching that can inform further research and application of Dalcroze Eurhythmics in jazz pedagogy. / MMus (Musicology), North-West University, Potchefstroom Campus, 2015

It is commonly known that water plays a crucial role in many natural and industrial processes. One of these processes is the formation of water trees, and the subsequent breakdown of polyethylene used for high voltage cable insulation purposes. It has been shown that the mechanism for water molecules diffusing through amorphous polyethylene includes the formation of small water clusters. Gibbs Ensemble Monte Carlo molecular simulations has been performed to study the clustering of vapour phase water under vapour - liquid equilibrium conditions at temperatures ranging from 300 K to 600 K. The increase in vapour density with increasing temperature leads to a radical increase in the fraction of molecules belonging to clusters with two or more water molecules. It is also seen that the size of the clusters increases with temperature. The topologies of the smaller clusters, up to pentamers, have also been studied. A structural transition is observed from a large percentage with cyclic topology, which is the minimum energy configuration, at lower temperatures to predominantly linear clusters, favoured by entropic effects, at higher temperatures. Similar water properties have been obseved in simulations where the vapour phase has been replaced with a hydrocarbon rich phase ( n-alkanes and polyethylene ). Application of an external electric field to the polymer system reduces the water solubility and affects the water structure. A dramatic increase in water solubility in the hydrocarbon phase is observed when two oppositely charged ions are introduced in the hydrocarbon. The structure of the water have changed from several small clusters to a single large cluster with a rod-like shape. The cluster is extremely stable during the simulation. Application of an external electric field may enhance or reduce the effect of the ions depending on the direction of the field. Based on these observations is an alternative mechanism for water tree propagation proposed.

Appropriate and defensible statistical frameworks are required in order to make credible inferences about future climate based on projections derived from multiple climate models. It is shown that a two-way analysis of variance framework can be used to estimate the response of the actual climate, if all the climate models in an ensemble simulate the same response. The maximum likelihood estimate of the expected response provides a set of weights for combining projections from multiple climate models. Statistical F tests are used to show that the differences between the climate response of the North Atlantic storm track simulated by a large ensemble of climate models cannot be distinguished from internal variability. When climate models simulate different responses, the differences between the re- sponses represent an additional source of uncertainty. Projections simulated by climate models that share common components cannot be considered independent. Ensemble thinning is advocated in order to obtain a subset of climate models whose outputs are judged to be exchangeable and can be modelled as a random sample. It is shown that the agreement between models on the climate response in the North Atlantic storm track is overestimated due to model dependence. Correlations between the climate responses and historical climates simulated by cli- mate models can be used to constrain projections of future climate. It is shown that the estimate of any such emergent relationship will be biased, if internal variability is large compared to the model uncertainty about the historical climate. A Bayesian hierarchical framework is proposed that is able to separate model uncertainty from internal variability, and to estimate emergent constraints without bias. Conditional cross-validation is used to show that an apparent emergent relationship in the North Atlantic storm track is not robust. The uncertain relationship between an ensemble of climate models and the actual climate can be represented by a random discrepancy. It is shown that identical inferences are obtained whether the climate models are treated as predictors for the actual climate or vice versa, provided that the discrepancy is assumed to be sym- metric. Emergent relationships are reinterpreted as constraints on the discrepancy between the expected response of the ensemble and the actual climate response, onditional on observations of the recent climate. A simple method is proposed for estimating observation uncertainty from reanalysis data. It is estimated that natural variability accounts for 30-45% of the spread in projections of the climate response in the North Atlantic storm track.

Thesis (MSc)--Stellenbosch University, 2012. / ENGLISH ABSTRACT:In this thesis we discuss some of the anomalies present in systems with long-range interactions, for instance negative speci c heat and negative magnetic susceptibility, and show how they can be related to the convexity properties of the thermodynamic potentials and nonequivalence of ensembles. We also discuss the possibility of engineering long-range quantum spin systems with cold atoms in optical lattices to experimentally verify the existence of nonequivalence of ensembles. We then formulate an expression for the density of states when the energy and magnetisation correspond to a pair of non-commuting operators. Finally we analytically compute the entropy s( ;m) as a function of energy, , and magnetisation, m, for the anisotropic Heisenberg model with Curie-Weiss type interactions. The results show that the entropy is non-concave in terms of magnetisation under certain circumstances which in turn indicates that the microcanonical and canonical ensembles are not equivalent and that the magnetic susceptibility is negative. After making an appropriate change of variables we show that a second-order phase transition can be present at negative temperatures in the microcanonical ensemble which cannot be represented in the canonical ensemble. / AFRIKAANSE OPSOMMING: In hierdie tesis bespreek ons van die onverwagte eienskappe wat sisteme met lang afstand wisselwerkings kan openbaar, byvoorbeeld negatiewe spesi eke warmte en negatiewe magnetiese suseptibiliteit. Ons dui ook die ooreenkoms tussen hierdie gedrag en die konveksiteit van die termodinamiese potensiale en nie-ekwivalente ensembles aan. Hierna bespreek ons die moontlikheid om lang afstand kwantum spin sisteme te realiseer met koue atome in 'n optiese rooster. Daarna wys ons hoe dit moontlik is om 'n uitdrukking vir die digtheid van toestande te formuleer vir sisteme waar die energie en magnetisasie ooreenstem met operatore wat nie met mekaar kommuteer nie. Uiteindelik bepaal ons die entropie, s( ;m), in terme van die energie, , en magnetisasie, m, vir die anisotropiese Heisenberg model met Curie-Weiss tipe interaksies. Die resultate wys dat die entropie onder sekere omstandighede nie konkaaf in terme van magnetisasie is nie. Dit, op sy beurt, dui aan dat die mikrokanoniese en kanoniese ensembles nie ekwivalent is nie en dat die magnetiese suseptibiliteit negatief kan wees. Nadat ons 'n toepaslike transformasie van veranderlikes maak, wys ons dat 'n tweede orde fase-oorgang by negatiewe temperature kan plaasvind in die mikrokanoniese ensemble wat nie verteenwoordig kan word in die kanoniese ensemble nie.

New free improvisers may come across six major problems as they learn to improvise: imbalance between technique and music, incorrect perception of limitation, imbalance between rationality and emotion, lack of enthusiasm, inability to view criticism as a source of creativity, and misunderstanding of mistakes and risks. In this thesis, I propose a set of effective pedagogical tools as possible solutions for students and groups interested in exploring the beauty of free improvisation.

QCD at non-zero baryon density is expected to have a critical point where the finite temperature crossover at zero density turns into a first order phase transition. To identify this point, we use the canonical ensemble approach to scan the temperaturedensity plane through lattice QCD simulations with Wilson-type fermions. In order to scan a wide range of the phase diagram, we develop an algorithm, the ”winding number expansion method” (WNEM) to fix the numerical instability problem due to the discrete Fourier transform for calculating the projected determinant. For a given temperature, we measure the chemical potential as a function of the baryon number and look for the signal of a first order phase transition. We carry out simulations using clover fermions with mπ ≈ 800MeV on 63 × 4 lattices. As a benchmark, we run simulations for the four degenerate flavor case where we observe a clear signal of the first order phase transition. In the two flavor case we do not see any signal for temperatures as low as 0.83 Tc. To gauge the discretization errors, we also run a set of simulations using Wilson fermions and compare the results to those from the clover fermion. The three flavor case is close to realistic QCD with two light u and d quarks and one heavier s quark. Any hint of the existence of the first order phase transition and, particularly, its critical end point will be valuable for the planned relativistic heavy-ion experiments to search for such a point. In the three flavor case we found a clear signal for the first order phase transition, the critical point is located at a temperature of 0.93(2) Tc and a baryon chemical potential of 3.25(7) Tc. Since the quark mass in our present simulation is relatively heavy, we would like to repeat it with lighter quark masses and larger volumes.

The percussion ensemble is still a relatively young ensemble, with the first works by Edgard Varèse and Amadeo Roldan composed in the first third of the 20th century. Because of this youth, it is important to examine significant works for the percussion ensemble which establish themselves as staples to the repertoire. Christopher Rouse, a Pulitzer-Prize winning composer has written three such works, Ogoun Badagris (1976), Ku-Ka-Ilimoku (1978), and Bonham (1989). This study will closely examine each of these works, providing background, detailed analysis, and performance practice for each of these works.

Pulitzer Prize-winning composer David Del Tredici (b. 1937) has gained recognition as a composer for both instrumental and vocal settings. Although his instrumental contributions include solo, chamber, and orchestral works, to date he has only written one composition for wind band. A conductor must devote himself / herself to score study and analysis in order to form an accurate interpretation and to conduct effective rehearsals. A vital part of score study and analysis is familiarity with the composer’s technique and style of writing. A brief biographical sketch presents Del Tredici’s background, education, honors and awards, academic career, and influences, as well as a discussion of his compositional and orchestration techniques. Both movements of In Wartime are analyzed using the elements of melody, harmony, form, rhythm (which includes tempo, meter, rhythm, and rhythmic techniques), orchestration, texture, and dynamics. Rehearsal considerations for each movement are presented based on the author’s experience rehearsing and conducting In Wartime. The intention of this document is to facilitate conductors in their study and preparation of In Wartime in order that they may realize more effective rehearsals and inspired performances. Included in the appendices are trumpet parts transposed to the key of B-flat and instructions for the construction of the wind machine indicated in the score.

Cette thèse porte sur la participation des habitants, considérée comme un discours sur la ville et une action politique. À partir de cet objet, elle analyse le lien entre les dynamiques sociales d'appropriation de l'espace et l'engagement politique. Elle s'appuie sur une enquête de terrain menée dans le quartier nord de Marzahn, un grand ensemble de Berlin-Est. L'étude de ce cas montre que la participation politique est indissociable de la représentation politique. À la fin des années 1990, la différenciation socio-spatiale des grands ensembles de Berlin-Est s'affine avec la privatisation d'une partie du parc immobilier. Parallèlement à ces transformations, la participation des habitants devient un instrument central des politiques de rénovation urbaine menées dans ce secteur bien qu'elle soit conçue sur un mode plus individuel et moins protestataire que par le passé. Les groupes sociaux qui cohabitent à Marzahn Nord se caractérisent par des usages socialement différenciés de leur quartier qui produisent des attaches sociales et familières à l'environnement urbain. Lorsque ces attaches sont menacées par des usages concurrents de l'espace, elles constituent des enjeux potentiels d'action dont le débouché politique n'est cependant pas systématique. Pour participer, il faut en effet prendre la parole dans un espace public, c'est-à-dire manifester un bien commun aux yeux d'autrui. La participation politique suppose ainsi une opération de représentation. Celle-ci est défaillante lorsque la composition sociale du public admis à s'exprimer est trop homogène et lorsque les espaces publics disposent d'un ancrage institutionnel trop faible.

Cette thèse comporte deux parties. Dans un premier temps, nous allons faire un lien entre des solutions stationnaires de problèmes d'évolutions de frontières par courbure moyenne avec des champs extérieurs et l'existence de minimiseur globaux d'un problème de minimisation de périmètre avec une énergie. Ces solutions stationnaires permettent en outre de fournir des bornes pour les solutions non stationnaires du problème. De plus, en modifiant l'énergie, on montre que les résolutions successives des problème de périmètre permettent de calculer l'évolution d'un ensemble par courbure moyenne. Enfin, on présentera un algorithme permettant de calculer les solutions de viscosité d'un problème de Dirichlet portant sur le Laplacien Infini grâce aux équations d'Aronsson.