945 resultados para Schubert calculus
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Musical exoticism is the evocation of a culture different from that of the composer. It occurs anytime a composer tries to conjure up the music of a country not his own. Although there have been studies of exoticism in the piano works of an individual composer, namely Debussy, there has not been a comprehensive study of musical exoticism in the piano literature as a whole. Upon chronological examination of the piano repertoire, general trends exhibiting exoticism become evident. The first general trend is the emergence of the Turkish style (alia turca) in the eighteenth century. Turkish style soon transmuted to the Hungarian-Gypsy style (all 'ongarese or style hongrois). [In Beethoven's Op. 129, it is alia ingharese.] Composers often alternated between the two styles even in the same composition. By the late nineteenth century, style hongrois was firmly entrenched in the musical language of Austro-German composers, as seen in the works of Brahms. In the nineteenth century, composers turned to the Middle East, North Africa and Spain for inspiration. In particular are several compositions emulating Spanish dance music, culminating in the Spanish works of Debussy and Ravel. The gamelans from Indonesia and objects from the Far East of Japan and China, brought by advances in trade and transportation, captivated the imagination of composers at the turn of the twentieth century. Also in the early twentieth century, composers tried emulating dance and jazz music coming from the Americas, such as the cakewalk, minstrelsy, and the blues. One sees the ever widening sphere of exotic inspiration for western music composers: from the Turkish invasions to the traveling Gypsies of Hungary; to the captivating dance rhythms, soulful cante jondo sections, and guitar flourishes of Spain; expanding further to the far reaches of Asia and the jazzy rhythms of the Americas. This performance dissertation consists of three recitals presented at the University of Maryland, and is documented on compact disc recordings which are housed within the University of Maryland Library System. The recordings present the music of Balakirev, Beethoven, Brahms, Chopin, Debussy, Haydn, Hummel, Milhaud, Moszkowski, Mozart, Ravel, and Schubert.
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Variation, or the re-working of existing musical material, has consistently attracted the attention of composers and performers throughout the history of Western music. In three recorded recitals at the University of Maryland School of Music, this dissertation project explores a diverse range of expressive possibilities for violin in seven types of variation form in Austro-German works for violin from the 17th through the 20th centuries. The first program, consisting of Baroque Period works, performed on period instrument, includes the divisions on “John come kiss me now” from The Division Violin by Thomas Baltzar (1631 – 1663), constant bass variations in Sonate Unarum Fidium by Johann Heinrich von Schmelzer (1623 – 1680), arbitrary variation in Sonata for Violin and Continuo in E Major, Op. 1, No. 12 “Roger” by George Friedrich Händel (1685 – 1759), and French Double style, melodic-outline variation in Partita for Unaccompanied Violin in B Minor by Johan Sebastian Bach (1685 – 1750). Theme and Variations, a popular Classical Period format, is represented by the Sonata for Piano and Violin in G Major K. 379 by Wolfgang Amadeus Mozart (1756 – 1791) and Sonata for Violin and Piano in A Major, Op. 47 No. 9 the “Kreutzer” by Ludwig van Beethoven (1770 – 1827). Fantasy for Piano and Violin in C Major D. 934 by Franz Schubert (1797 – 1828) represents the 19th century fantasia variation. In these pieces, the piano and violin parts are densely interwoven, having equal importance. Many 20th century composers incorporated diverse types of variations in their works and are represented in the third recital program comprising: serial variation in the Phantasy for Violin and Piano Op.47 of Arnold Schoenberg (1874 – 1951); a strict form of melodic-outline variation in Sonate für Violine allein, Op. 31, No. 2 of Paul Hindemith (1895 – 1963); ostinato variation in Johan Halvorsen’s (1864 – 1935) Passacaglia for Violin and Viola, after G. F. Handel’s Passacaglia from the Harpsichord Suite No. 7 in G Minor. Pianist Audrey Andrist, harpsichordist Sooyoung Jung, and violist Dong-Wook Kim assisted in these performances.
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During Franz Schubert’s penultimate year of 1827, he produced two profoundly important and mature works that are the focus of this recording project. The works are, in chronological order: • Winterreise (cycle of 24 songs on the poetry of Wilhelm Müller, 1794-1827) • Piano Trio in Eb Major, Op. 100, D. 929 A unique feature of the project is to present Winterreise in two poetic orders: as traditionally performed and published by Schubert, and in the final ordering published by the poet. The program notes accompanying the dissertation’s three compact discs have extensive information as well as comparative tables of Müller’s and Schubert’s final ordering of the cycle. There are significant differences in ordering, and ultimately the listener will determine which is more dramatically satisfying. Dark melancholy is the central emotion in Winterreise, which Schubert composed at various times throughout 1827 in a mood of corresponding gloom and distress. By contrast, the summer and fall of that year produced, in quick succession, the two glowing and remarkable Piano Trios in Bb and Eb, the second of which is included on these compact discs. The contrast between the trios and Winterreise follows the outward circumstances of Schubert’s life and health, a pattern of sorrow and later consolation and elation. The sound recordings for this dissertation recording project are available on three compact discs that can be found in the Digital Repository at the University of Maryland (DRUM). Winterreise was recorded in August 2009, at the University of Baltimore recital hall in Baltimore, Maryland with University of Maryland Professor François Loup. The trio, recorded in live performance in Baltimore in the spring of 2010, features two members of the Baltimore Symphony Orchestra: Qing Li, B.S.O. principal second violin, and Bo Li, B.S.O. section cellist.
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This Dissertation Project comprises recordings of Argentine art songs. The discs are approximately 40-60 minutes in length and consist of songs from the traditional art-song repertoire for voice and piano. This project is particularly appropriate because of the very limited number of recordings of Argentine songs, which are notable both not only for their high quality but for their accessibility of performance for voice teachers, students, and professional singers alike. Art songs in the Spanish language are a welcome resource, and the poetry included in this project is of an outstanding quality. Some of the poets set to music are Gabriela Mistral (a poet laureate of Chile and the first Latin American woman to win the Nobel Prize for Literature), Pablo Neruda (also a Nobel laureate), Luis Cernuda, and Leon Benar6s. The lyrics of some songs are based on traditional sources, and the melodies and rhythms of all are representative of South American-indigenous and European immigrant cultures. The composers represented here will be familiar to some listeners but more than likely unfamiliar to most. Yet Alberto Ginastera (1916-1983) is considered to be the greatest of all Argentine composers. Alberto Williams (1862-1952) is known as the father of the Nationalist School of composition in Argentina, and Carlos Lopez Buchardo (1881-1963) is a most influential composer and pedagogue after whom the national Conservatory of Music in Buenos Aries is named. Two composers who remain relatively unknown outside of South America, Abraham Jurafsky (1906- 1993) and Julio Perceval (1903-1963) are also represented in this project. A complete compact disc is devoted to the works of Carlos Guastavino. Known as the "Argentine Schubert", Guastavino has over 250 songs to his credit. Chiefly a composer for piano and voice, his recent death (October 2000) makes a recording of his works especially appropriate. This project also includes a written component, a supportive dissertation briefly describing the history of the Argentine art song and the lives and influences of the composers and poets represented in the studio recordings. The CD recordings are held in the Michelle Smith Performing Arts Library at the University of Maryland.
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The purpose of this project is to present selected violin pieces by Paul Hindemith (1895-1963) against a backdrop of the diverse styles and traditions that he integrated in his music. For this dissertation project, selected violin sonatas by Hindemith were performed in three recitals alongside pieces by other German and Austro-German composers. These recitals were also recorded for archival purposes. The first recital, performed with pianist David Ballena on December 10, 2005, in Gildenhorn Recital Hall at the University of Maryland, College Park, included Violin Sonata Op.11, No. 1 (1918) by Paul Hindemith, Sonatina in D Major, Op. 137 (1816) by Franz Schubert, and Sonata in E-flat Major, Op.18 (1887) by Richard Strauss. The second recital, performed with pianist David Ballena on May 9, 2006, in Gildenhorn Recital Hall at the University of Maryland, included Sonata in E Minor, KV 304 (1778) by Wolfgang Amadeus Mozart, Sonata in E (1935) by Paul Hindemith, Romance for Violin and Orchestra No.1 in G Major (1800-1802) by Ludwig Van Beethoven, and Sonata for Violin and Piano in A minor, Op. 105 (1851) by Robert Schumann. The third recital, performed with David Ballena and Kai-Ching Chang on November 10, 2006 in Ulrich Recital Hall at the University of Maryland, included Violin Sonata Op.12 No.1 in D Major (1798) by Ludwig Van Beethoven, Sonata for Violin and Harpsichord No.4 in C Minor BWV 1017 (1720) by J.S. Bach, and Violin Sonata Op.11 No.2 (1918) by Paul Hindemith. For each of my dissertation recitals, I picked a piece by Hindemith as the core of the program then picked pieces by other composers that have similar key, similar texture, same number of movements or similar feeling to complete my program. Although his pieces used some classical methods of composition, he added his own distinct style: extension of chromaticism; his prominent use of interval of the fourth; his chromatic alteration of diatonic scale degrees; and his non-traditional cadences. Hindemith left behind a legacy of multi-dimensional, and innovative music capable of expressing both the old and the new aesthetics.
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info:eu-repo/semantics/published
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A novel multi-scale seamless model of brittle-crack propagation is proposed and applied to the simulation of fracture growth in a two-dimensional Ag plate with macroscopic dimensions. The model represents the crack propagation at the macroscopic scale as the drift-diffusion motion of the crack tip alone. The diffusive motion is associated with the crack-tip coordinates in the position space, and reflects the oscillations observed in the crack velocity following its critical value. The model couples the crack dynamics at the macroscales and nanoscales via an intermediate mesoscale continuum. The finite-element method is employed to make the transition from the macroscale to the nanoscale by computing the continuum-based displacements of the atoms at the boundary of an atomic lattice embedded within the plate and surrounding the tip. Molecular dynamics (MD) simulation then drives the crack tip forward, producing the tip critical velocity and its diffusion constant. These are then used in the Ito stochastic calculus to make the reverse transition from the nanoscale back to the macroscale. The MD-level modelling is based on the use of a many-body potential. The model successfully reproduces the crack-velocity oscillations, roughening transitions of the crack surfaces, as well as the macroscopic crack trajectory. The implications for a 3-D modelling are discussed.
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A novel multiscale model of brittle crack propagation in an Ag plate with macroscopic dimensions has been developed. The model represents crack propagation as stochastic drift-diffusion motion of the crack tip atom through the material, and couples the dynamics across three different length scales. It integrates the nanomechanics of bond rupture at the crack tip with the displacement and stress field equations of continuum based fracture theories. The finite element method is employed to obtain the continuum based displacement and stress fields over the macroscopic plate, and these are then used to drive the crack tip forward at the atomic level using the molecular dynamics simulation method based on many-body interatomic potentials. The linkage from the nanoscopic scale back to the macroscopic scale is established via the Ito stochastic calculus, the stochastic differential equation of which advances the tip to a new position on the macroscopic scale using the crack velocity and diffusion constant obtained on the nanoscale. Well known crack characteristics, such as the roughening transitions of the crack surfaces, crack velocity oscillations, as well as the macroscopic crack trajectories, are obtained.
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Use of structuring mechanisms (such as modularisation) is widely believed to be one of the key ways to improve software quality. Structuring is considered to be at least as important for specification documents as for source code, since it is assumed to improve comprehensibility. Yet, as with most widely held assumptions in software engineering, there is little empirical evidence to support this hypothesis. Also, even if structuring can be shown to he a good thing, we do not know how much structuring is somehow optimal. One of the more popular formal specification languages, Z, encourages structuring through its schema calculus. A controlled experiment is described in which two hypotheses about the effects of structure on the comprehensibility of Z specifications are tested. Evidence was found that structuring a specification into schemas of about 20 lines long significantly improved comprehensibility over a monolithic specification. However, there seems to be no perceived advantage in breaking down the schemas into much smaller components. The experiment can he fully replicated.
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There are three main approaches to the representation of temporal information in AI literature: the so-called method of temporal arguments that simply extends functions and predicates of first-order language to include time as the additional argument; modal temporal logics which are extensions ofthe propositional or predicate calculus with modal temporal operators; and reified temporal logics which reify standard propositions of some initial language (e.g., the classical first-order or modal logic) as objects denoting propositional terms. The objective of this paper is to provide an overview onthe temporal reified approach by looking closely atsome representative existing systems featuring reified propositions, including those of Allen, McDermott, Shoham, Reichgelt, Galton, and Ma and Knight. We shall demonstrate that, although reified logics might be more complicated in expressing assertions about some given objects with respect to different times, they accord a special status to time and therefore have several distinct advantages in talking about some important issues which would be difficult (if not impossible) to express in other approaches.
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This paper presents a simple approach to the so-called frame problem based on some ordinary set operations, which does not require non-monotonic reasoning. Following the notion of the situation calculus, we shall represent a state of the world as a set of fluents, where a fluent is simply a Boolean-valued property whose truth-value is dependent on the time. High-level causal laws are characterised in terms of relationships between actions and the involved world states. An effect completion axiom is imposed on each causal law, which guarantees that all the fluents that can be affected by the performance of the corresponding action are always totally governed. It is shown that, compared with other techniques, such a set operation based approach provides a simpler and more effective treatment to the frame problem.
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Abstract In the theory of central simple algebras, often we are dealing with abelian groups which arise from the kernel or co-kernel of functors which respect transfer maps (for example K-functors). Since a central simple algebra splits and the functors above are “trivial” in the split case, one can prove certain calculus on these functors. The common examples are kernel or co-kernel of the maps Ki(F)?Ki(D), where Ki are Quillen K-groups, D is a division algebra and F its center, or the homotopy fiber arising from the long exact sequence of above map, or the reduced Whitehead group SK1. In this note we introduce an abstract functor over the category of Azumaya algebras which covers all the functors mentioned above and prove the usual calculus for it. This, for example, immediately shows that K-theory of an Azumaya algebra over a local ring is “almost” the same as K-theory of the base ring. The main result is to prove that reduced K-theory of an Azumaya algebra over a Henselian ring coincides with reduced K-theory of its residue central simple algebra. The note ends with some calculation trying to determine the homotopy fibers mentioned above.
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Insulin resistance and diabetes might promote neurodegenerative disease, but a molecular link between these disorders is unknown. Many factors are responsible for brain growth, patterning, and survival, including the insulin-insulin-like growth factor (IGF)-signaling cascades that are mediated by tyrosine phosphorylation of insulin receptor substrate (IRS) proteins. Irs2 signaling mediates peripheral insulin action and pancreatic beta-cell function, and its failure causes diabetes in mice. In this study, we reveal two important roles for Irs2 signaling in the mouse brain. First, disruption of the Irs2 gene reduced neuronal proliferation during development by 50%, which dissociated brain growth from Irs1-dependent body growth. Second, neurofibrillary tangles containing phosphorylated tau accumulated in the hippocampus of old Irs2 knock-out mice, suggesting that Irs2 signaling is neuroprotective. Thus, dysregulation of the Irs2 branch of the insulin-Igf-signaling cascade reveals a molecular link between diabetes and neurodegenerative disease.
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The identification of nonlinear dynamic systems using radial basis function (RBF) neural models is studied in this paper. Given a model selection criterion, the main objective is to effectively and efficiently build a parsimonious compact neural model that generalizes well over unseen data. This is achieved by simultaneous model structure selection and optimization of the parameters over the continuous parameter space. It is a mixed-integer hard problem, and a unified analytic framework is proposed to enable an effective and efficient two-stage mixed discrete-continuous; identification procedure. This novel framework combines the advantages of an iterative discrete two-stage subset selection technique for model structure determination and the calculus-based continuous optimization of the model parameters. Computational complexity analysis and simulation studies confirm the efficacy of the proposed algorithm.