6 resultados para Covariants of Binary Form
em DRUM (Digital Repository at the University of Maryland)
Resumo:
Suburban lifestyle is popular among American families, although it has been criticized for encouraging automobile use through longer commutes, causing heavy traffic congestion, and destroying open spaces (Handy, 2005). It is a serious concern that people living in low-density suburban areas suffer from high automobile dependency and lower rates of daily physical activity, both of which result in social, environmental and health-related costs. In response to such concerns, researchers have investigated the inter-relationships between urban land-use pattern and travel behavior within the last few decades and suggested that land-use planning can play a significant role in changing travel behavior in the long-term. However, debates regarding the magnitude and efficiency of the effects of land-use on travel patterns have been contentious over the years. Changes in built-environment patterns is potentially considered a long-term panacea for automobile dependency and traffic congestion, despite some researchers arguing that the effects of land-use on travel behavior are minor, if any. It is still not clear why the estimated impact is different in urban areas and how effective a proposed land-use change/policy is in changing certain travel behavior. This knowledge gap has made it difficult for decision-makers to evaluate land-use plans and policies. In addition, little is known about the influence of the large-scale built environment. In the present dissertation, advanced spatial-statistical tools have been employed to better understand and analyze these impacts at different scales, along with analyzing transit-oriented development policy at both small and large scales. The objective of this research is to: (1) develop scalable and consistent measures of the overall physical form of metropolitan areas; (2) re-examine the effects of built-environment factors at different hierarchical scales on travel behavior, and, in particular, on vehicle miles traveled (VMT) and car ownership; and (3) investigate the effects of transit-oriented development on travel behavior. The findings show that changes in built-environment at both local and regional levels could be very influential in changing travel behavior. Specifically, the promotion of compact, mixed-use built environment with well-connected street networks reduces VMT and car ownership, resulting in less traffic congestion, air pollution, and energy consumption.
Resumo:
Antonio Salieri’s La calamita de’ cuori (1774) warrants musicological attention for what it can tell us about Salieri’s compositional craft and what it reveals about the development of form in Viennese Italian-language comic opera of the mid- and late-eighteenth century. In Part I of this dissertation, I explore the performance history of La calamita, present the first plot synopsis and English translation of the libretto, and describe the variants between Carlo Goldoni’s 1752 libretto and the revised version created for Salieri’s opera. I have collated Salieri’s holograph score, Österreichische Nationalbibliothek, Vienna, Mus. Hs. 16.508, with four copies having different relationships to it, and I propose a stemma that represents the relationships between these five sources. The analyses in Part II contribute to our understanding of formal practices in eighteenth-century drammi giocosi. My study of Salieri’s La calamita reveals his reliance on a clearly defined binary structure, referred to in this dissertation as “operatic binary form,” in almost half of the arias, ensembles, and instrumental movements of this opera. Salieri’s consistent use of operatic binary form led me to explore its use in drammi giocosi by other prominent composers of this time, including Baldassare Galuppi’s La calamita de’ cuori (1752), Wolfgang Amadeus Mozart’s Il dissoluto punito, ossia Il Don Giovanni (1787), and selected arias by Pasquale Anfossi, Florian Leopold Gassmann, Giuseppe Gazzaniga, Franz Joseph Haydn, Giovanni Paisiello, and Niccolò Piccinni dating from 1760 to 1774. This study showed that Salieri and his peers adhered to a recognizable tonal plan and set of design elements in their operatic binary forms, and that their arias fall into three distinct categories defined by the tonality at the beginning of the second half of the binary structure. The analysis presented here adds to our present understanding of operatic form in mid- and late-century drammi giocosi and shows that in La calamita de’ cuori, Salieri was following the normative formal procedures of his time.
Resumo:
The Fantasy form offered a composer the freedom to create a work without concerns for fitting into the current stylistic and traditional structures. The flowering of the form seems to be concentrated from 1820-1920 since the composer started to use it as a way to convey a personal idea or to portray a special spirit. This dissertation is comprised of three recitals with fantasies in different genres and styles. Through performing these diverse fantasies, I have been inspired to connect with the imagery and spirit of the compositions in order to capture the unique sentiments of each piece. Also, in order to keep the audience absorbed in the music that is without structure, I have focused on expanding my technical abilities to vary color, sonority, and phrasing. Program one (April 26,2004) includes Fantasie, Op. 17 and Piano Concerto, Op. 54 (assisted by Ya-Hsin Wu) by R. Schumann. Program two (December 10, 2004) includes Three Fantastic Dances, Op. 5 by D. Shostakovitch, Fantasy "Sonataecossaise ", Op. 28 by F. Mendelssohn, Sonata No.2 "Sonata-Fantasy", Op. 19 by A. Scriabin and Fantasie for Piano and Violin, D 934 by F. Schubert with violinist, TaoChang Yu. The last program (November 1, 2005) includes Fantasia baetica by E. de Falla, Morceaux de Fantaisie, Op. 3 by S. Rachrnaninoff, Fantaisie, Op. 49, Impromptu No. 4 '%h.ntasy-hpromptu", Op. 66 and Polonaise-Fantaisie, Op. 61 by F. Chopin.
Resumo:
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.
Resumo:
Impressionism serves as the transition between romantic and modern music. This dissertation examines the varying characteristics and colors of Impressionism in the works of late-romantic French composers, French Impressionistic composers, and composers with Impressionistic influence from countries other than France. Violin Sonata in g minor, L. 140 (1917) is the last work composed by Claude Debussy. The impressionistic characters in this work includes the ambiguous yet innovative and variant sonority and form. As a work also written in 1917, Ottorino Respighi's Violin Sonata in b minor is deeply rooted in Italian Romanticism. Some of the Impressionistic characters can be found in the second movement where the harmonies are in parallel motion. César Franck, a forerunner of impressionism, heavily influenced Debussy with the use of cyclic form. The Violin Sonata in A major (1886) is rich in harmonic language. Ernest Chausson's works mark the transition between Franck and Debussy. The Poème portrays a love story, Song of Love Triumphant by Turgenev. The work is a symphonic poem for violin and orchestra. The Mythes, Op. 30 (1915) by Karol Szymanowski is based on Greek mythology. Ravel's Sonata for Violin and Cello (1922), dedicated to Debussy, points to the future with a sophisticated harmonic language extending into atonality, spare texture, and expanded palate of impressionistic colors and techniques. Ernest Bloch's Violin Sonata No. 1 (1920) portrays the feeling of torment. Beneath the soaring cries of the violin, the harmonic sonority of Impressionism are present. Gabriel Fauré's Violin Sonata No. 1 in A major, op. 13 (1876) is the earliest work of this project. The scherzo movement became a prototype for future scherzo movements for Ravel and Debussy. Ravel's Tzigane (1924), at once a paragon of French impressionism, a delightful gypsy-style dance-fantasy, and a breathtaking virtuoso piece, is the perfect conclusion to my dissertation project. The pieces discussed above were presented in three recitals. Compact disc recordings of these recitals are available in the Michelle Smith Performing Arts Library of the Clarice Smith Performing Arts Center at the University of Maryland.
Resumo:
This thesis proves certain results concerning an important question in non-equilibrium quantum statistical mechanics which is the derivation of effective evolution equations approximating the dynamics of a system of large number of bosons initially at equilibrium (ground state at very low temperatures). The dynamics of such systems are governed by the time-dependent linear many-body Schroedinger equation from which it is typically difficult to extract useful information due to the number of particles being large. We will study quantitatively (i.e. with explicit bounds on the error) how a suitable one particle non-linear Schroedinger equation arises in the mean field limit as number of particles N → ∞ and how the appropriate corrections to the mean field will provide better approximations of the exact dynamics. In the first part of this thesis we consider the evolution of N bosons, where N is large, with two-body interactions of the form N³ᵝv(Nᵝ⋅), 0≤β≤1. The parameter β measures the strength and the range of interactions. We compare the exact evolution with an approximation which considers the evolution of a mean field coupled with an appropriate description of pair excitations, see [18,19] by Grillakis-Machedon-Margetis. We extend the results for 0 ≤ β < 1/3 in [19, 20] to the case of β < 1/2 and obtain an error bound of the form p(t)/Nᵅ, where α>0 and p(t) is a polynomial, which implies a specific rate of convergence as N → ∞. In the second part, utilizing estimates of the type discussed in the first part, we compare the exact evolution with the mean field approximation in the sense of marginals. We prove that the exact evolution is close to the approximate in trace norm for times of the order o(1)√N compared to log(o(1)N) as obtained in Chen-Lee-Schlein [6] for the Hartree evolution. Estimates of similar type are obtained for stronger interactions as well.