A PDE viewpoint on basic properties of coordination algorithms with symmetries

Several recent control applications consider the coordination of subsystems through local interaction. Often the interaction has a symmetry in state space, e.g. invariance with respect to a uniform translation of all subsystem values. The present paper shows that in presence of such symmetry, fundamental properties can be highlighted by viewing the distributed system as the discrete approximation of a partial differential equation. An important fact is that the symmetry on the state space differs from the popular spatial invariance property, which is not necessary for the present results. The relevance of the viewpoint is illustrated on two examples: (i) ill-conditioning of interaction matrices in coordination/consensus problems and (ii) the string instability issue. ©2009 IEEE.

Vibration decay along deepwater moorings with complex geometry and configuration, as a tool for truncation

This paper is concerned with the difficulties in model testing deepwater structures at reasonable scales. An overview of recent research efforts to tackle this challenge is given first, introducing the concept of line truncation. Passive truncation has traditionally been the preferred method by industry; however, these techniques tend to suffer in capturing accurately line dynamic response and so reproducing peak tensions. In an attempt to improve credibility of model test data the proposed truncation procedure sets up the truncated model, based on line dynamic response rather than quasi-static system stiffness. Vibration decay of transverse elastic waves due to fluid drag forces is assessed and it is found that below a certain length criterion, the transverse vibrational characteristics for each line are inertia driven, hence with respect to these motions the truncated model can assume a linear damper whose coefficient depends on the local line properties and vibration frequency. Initially a simplified taut string model is assumed for which the line is submerged in still water, one end fixed at the bottom the other assumed to follow the vessel response, which can be harmonic or random. A dimensional analysis, supported by exact benchmark numerical solutions, has shown that it is possible to produce a general guideline for the truncation length criterion, which is suitable for any kind of line with any top motion. The focus of this paper is to extend this work to a more complex line configuration of a conventional deepwater mooring line and so enhance the generality of the truncation guideline. The paper will close with an example case study of a spread mooring system, applying this method to create an equivalent numerical model at a reduced depth that replicates exactly the static and dynamic characteristics of the full depth system. Copyright © 2012 by ASME.

High-performance bowing machine tests of bowed-string transients

The development is described of a computer-controlled bowing machine that can bow a string with a range of gestures that match or exceed the capabilities of a human violinist. Example measurements of string vibration under controlled bowing conditions are shown, including a Schelleng diagram and a set of Guettler diagrams, for the open D string of a cello. For some results a rosin-coated rod was used in place of a conventional bow, to provide quantitative data for comparison with theoretical predictions. The results show qualitative consistency with the predictions of Schelleng and Guettler, but details are revealed that go beyond the limitations of existing models. © S. Hirzel Verlag · EAA.

CHARMED BARYON IN A STRING MODEL

Charmed baryon spectroscopy has been studied under a string model. In this model, charmed baryons are composed of a diquark and a charm quark which are connected by a constant tension. In this diquark picture, the quantum numbers J(P) of confirmed baryons have been well assigned. Energies of the first and second orbital excitations have been predicted and compared with the experimental data. Meanwhile, diquark masses have been extracted in the background of charm quark which satisfy a splitting relation based on spin-spin interaction.

Syntheses and characterization of half-sandwich zirconium complexes with dichalcogenolate o-carborane ligands

Metallocene complex (Cp2ZrCl2)-Zr-tt (Cp-tt = eta(5)-1,3-(Bu2C5H3)-Bu-t) (1) has been prepared from the reaction of LiCptt with ZrCl4 in good yield. Reactions of 1 with dilithium dichalcogenolate o-carboranes afforded new type of half-sandwich compounds with dichalcogenolate o-carboranyl ligands [Li(THF)(4)][(CpZr)-Zr-tt(E2C2B10H10)(2)] (E = S, 2a; E = Se, 2b) in which only one cyclopentadienyl ring ligand existed. Complexes 1 and 2a were structurally characterized by X-ray analyses. In complex 2a, the Zr(IV) ion is eta(5)-bound to one 1,3-di-tert-cyclopentadienyl ring and a-bound to four mu(2)-sulfur atoms of two dithio-carboranes. The zirconium atom and four sulfur atoms form a distorted pyramid. The coordination sphere around the zirconium atom resembles in a piano stool structure with four legs of sulfur atoms and the fulcrum at the zirconium atom.

The ‘Faust’ or ’Lucifer’ Sonata? On Liszt’s idea of programme music as exemplifi ed by his Piano Sonata in B minor

The musicological tradition places Liszt’s Sonata in B minor within the sphere of compositions inspired by the Faustian myth. Its musical material, its structure and its narrative exhibit certain similarities to the ‘Faust’ Symphony. Yet there has appeared a diff erent and, one may say, a rival interpretation of Sonata in B minor. What is more, it is well-documented from both a musical and a historical point of view. It has been presented by Hungarian pianist and musicologist Tibor Szász. He proposes the thesis that the Sonata in B minor has been in fact inspired by Milton’s Paradise Lost, with its three protagonists: Adam, Satan and Christ. He fi nds their illustrations and even some key elements of the plot in the Sonata’s narrative. But yet Milton’s Paradise Lost and Goethe’s Faust are both stories of the Fall and Salvation, of the cosmic struggle between good and evil. The triads of their protagonists – Adam and Eve, Satan, and Christ; Faust, Mephisto and Gretchen – are homological. Thus both interpretations of the Sonata, the Goethean and the Miltonian, or, in other words, the Faustian and the Luciferian, are parallel and complementary rather than rival. It is also highly probable that both have had their impact on the genesis of the Sonata in B minor.

Composition portfolio and commentaries

In an attempt to provide an analytical entry point into my compositional practice, I have identified eight themes which are significantly recurrent: reduction – the selection of a small number of elements; imperfection – a damaged or warped characteristic of sound; hierarchy – a concern with the roles of instruments with regard to their relative prominence; motion – apparently static sound masses consist of fine internal movement; listener perception – expectations for change influence the experience of affect; translation – the transitioning of electronic sounds to the acoustic realm, and vice versa; immersion – the creation of an accommodating soundscape; blurring – smearing and overlapping sounds or genres. Each of these eight factors is associated with relevant precedents in the history and theory of music that have been influential on my work. These include the minimalist compositions of Steve Reich and Arvo Pärt; the lo-fi aesthetic of Boards of Canada and My Bloody Valentine; concerns with political hierarchy in the work of Louis Andriessen; the variations of dynamics and microtonal shifts of Giacinto Scelsi; Leonard B. Meyer's account of expectation in music; cross-fertilisation of the acoustic and electronic in pieces by Gérard Grisey and Gyorgy Ligeti; the immersive technique of Brian Eno's ambient music; and the overlapping sounds of Aphex Twin. These eight factors are variously applicable to the eleven submitted pieces, which are individually analysed with reference to the most significant of the categories. Together they form a musical language that sustains the interaction of a variety of techniques, concepts and genres.

THE EFFECT OF A PROGRAM OF PORTABLE ELECTRONIC PIANO KEYBOARD EXPERIENCE ON THE ACQUISITION OF SIGHT-SINGING SKILL IN THE NOVICE HIGH SCHOOL CHORUS

The problem was to determine whether a method of aural and visual vocal training that included a program of portable electronic piano keyboard experience would be more effective in teaching sight-singing skills to novice high school chorus students than a method that included only aural and visual vocal training. A sub-problem was to determine whether novice chorus students enjoyed playing electronic keyboards in chorus as a reinforcement experience in sight-singing training. Students were randomly assigned to two treatment groups, tested with the Musical Aptitude Profile, Tonal Imagery, part A, and then trained separately. The experimental group sang repetitions of melodic patterns and utilized techniques associated with the Kodály Method while simultaneously playing keyboard. The comparison group received a similar treatment without using keyboards. The students were pre- and post-tested in sight-singing using the Vocal Sight-Reading Inventory. Results of the Analysis of Covariance using MAP scores as the covariate revealed no significant difference (p<.05) between post-test scores of the two groups. Improvement was noted in 96% of students from pre-test to post-test regardless of grouping. The repeated measures ANOVA revealed a significant relationship (p<.006) between aptitude group and post-test score. High aptitude students in both groups were found to benefit more from the training than low aptitude students. High aptitude keyboard group students achieved an average gain score that was 8.67 points higher than the comparison group. Of the total experimental group, 92% enjoyed playing keyboards in chorus. It is recommended that future research be undertaken to study the use of keyboards with advanced high school choruses and with uncertain singers in the high school chorus. Research is also needed to develop graded, valid, and reliable sight-singing tests for use in high school chorus. Techniques of the Kodály Method should be further investigated for use in high school sight-singing training.

VISION OF EQUINOX FOR ORCHESTRA

The artistic play of light seen on a pyramid in some Mayan ruins located in Cancun, Mexico provided the inspiration for Vision of Equinox. On both the spring and autumn equinox days, the sunlight projected on the pyramid forms a shape which looks like a serpent moving on the stairway of the pyramid. Vision of Equinox was composed with an image of light as the model for the artistic transfiguration of sound. The light image of sound changes its shape in each stage of the piece, using the orchestra in different ways - sometimes like a chamber ensemble, sometimes like one big instrument. The image of light casting on a pyramid is expressed by descending melodic lines that can be heard several times in the piece. At the final climax of the work, a complete and embodied artistic figure is formed and stated, expressing the appearance of the Mayan god Quetzalcoatl, the serpent, in my own imagination. The light and shadow which comprise this pyramid art are treated as two contrasting elements in my composition and become the two main motives in this piece. To express these two contrasting elements, I picked the numbers "5" and "2," and used them as "key numbers" in this piece. As a result, the intervals of a fifth and a second (sometimes inverted as a seventh) are the two main intervals used in the structure. The interval of a fifth was taken into account for the construction of the pyramid, which has five points of contact. The interval of a second was selected as a contrasting sonority to the fifth. Further, the numbers "5" and "2" are used as the number of notes which form the main motives in this piece; quintuplets are used throughout this piece, and the short motive made by two sixteenth notes is used as one of the main motives in this piece. Moreover, the shape of the pyramid provided a concept of symmetry, which is expressed by the setting of a central point of the music (pitch center) as well as the use of retrograde and inversion in this piece.

Doubt, for narrator and orchestra

Doubt is a single-movement composition of roughly twelve minutes for narrator and orchestra (woodwinds, horns, and trumpets in pairs, timpani, percussion, strings). The piece explores the controversial issue of capital punishment. The text was compiled from resources found on the websites of Death Penalty Information Center (http://www.deathpenaltyinfo.org) and Anti-Death Penalty Information (http://www.antideathpenalty.org), as well as excerpts from the Bible. Doubt was conceived of as a dramatic work in which a narrator recites factual information in a direct and unemotional manner and the orchestra provides a response to the mixed emotions elicited by the text. The list of dates and case summaries presented in the middle section of the piece seemed most powerful and effective when recited in a natural speaking voice, which is why I chose not to set the text as song. Also, I chose the orchestral medium rather than a chamber setting because the nature of the topic demanded a larger range of colors and combinations, as well as a louder, fuller sound. Much of the music was composed while deciding which texts to include. Thus the music influenced the choice of text as much as the text suggested the musical setting. The four formal divisions of the piece are delineated primarily by the text. The first section is an orchestral introduction representing various emotional perspectives suggested by the texts. The narrator begins the second section with a Biblical verse over sparse orchestration. The third and main section of the piece begins with a new melody in the low strings that is closely related to the harmonic organization of the piece. The narrator lists dates of convictions, executions, exonerations and facts related to doubtful cases. The third section and the narration conclude with another brief passage from the Bible. The fourth section is a dramatic orchestral coda, bringing back the opening harmonies of juxtaposed perfect fifths. The final chord is full of tension and discord, reflecting the oppositions inherent in the topic of capital punishment: life vs. death, sympathy vs. reproach, pain vs. hope, but above all, doubt about guilt vs. innocence.

ION, OPERA IN SEVEN SCENES, BASED ON EURIPIDES ORIGINAL PLAY

The opera ION serves as my Doctoral Dissertation at the University of Maryland School of Music. The librettist of the opera is Nick Olcott, Opera Assistant Director at the University. My interest in this little-known play of Euripides began with my work with Professor Lillian Doherty of the University's Classics Department. Since I am fluent in Greek, I was able to read the play in original, becoming aware of nuances of meaning absent in the standard English translations. Professor Leon Major, Artistic Director of the University's Opera Studio, was enthusiastic about the choice of this play as the basis for an opera, and has been very generous of his time in showing me what must be done to turn a play into an opera. ION is my first complete stage work for voices and constitutes an ambitious project. The opera is scored for a small chamber orchestra, consisting of Saxophone, Percussion (many types), Piano, a Small Chorus of six singers, as well as five Soloists. An orchestra of this size is adequate for the plot, and also provides support for various new vocal techniques, alternating between singing and speaking, as well as traditional arias. In ION, I incorporate Greek folk elements, which I know first-hand from my Balkan background, as well as contemporary techniques which I have absorbed during my graduate work at Boston University and the University of Maryland. Euripides' ION has fascinated me for two reasons in particular: its connection with founding myth of Athens, and the suggestiveness of its plot, which turns on the relationship of parents to children. In my interpretation, the leading character Ion is seen as emblematic for today's teenagers. Using the setting of the classic play, I hope to create a modern transformation of a myth, not to simply retell it. To this end, hopefully a new opera form will rise, as valid for our times as Verdi and Wagner were for theirs.

COMPOSITIONS FEATURING THE PIANO IN FANTASY FORM: 1820-1920

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.

NEGLECTED CELLO REPERTOIRE OF TWENTIETH CENTURY ENGLISH COMPOSERS

In the Twentieth Century, the proliferation of cellists and the exceptional development of cello techniques, combined with composers' acceptance of the challenges by these developments, led many British composers to contribute to the enrichment of the cello concert repertoire. A great number of compositions written for the cello in the Twentieth Century England have been long neglected. In comparison with their other works in the genres of concerto, symphony, and opera, works for cello by prominent Twentieth Century English composers Elgar, Walton, and Britten are relatively unknown, except for Elgar's cello concerto. There are also many lesser-known composers like Delius, Bax, Bridge, and Clarke, who flourished in the fmt half of the century, but eventually became disregarded. Some reasons for this neglect may be as follows: the reluctant attitude toward new trends in the English musical establishment around the turn of the century; a lack of readily available editions of these composers' compositions; an over-abundance of fine composers at one time; and lastly, an overly individualistic approach to the music restricting a general public appreciation and recognition. Encountering a recording of the Walton cello concerto prompted me to further study the neglected Twentieth Century English cello repertoire. Many works of the above-mentioned composers still have not been fully valued in the cello repertoire. For this reason, the purpose of this project was to inspire cellists to learn and broaden as well as to appreciate the beauty of the Twentieth Century cello literature. As part of the doctoral performance project, three recitals featuring the works by six English composers were performed. My collaborator in all three recitals was pianist Eunae KO. The fmt recital included the Sonata for cello and piano by Frank Bridge and the Concerto by William Walton. The second recital was comprised of relatively unknown cello works: Sonatina in D major by Arnold Bax, Romance by Frederick Delius, and the Sonata Op. 40 by Rebecca Clarke. The third recital consisted of Folk-Tale by Arnold Bax and the Symphony for Cello and Orchestra Op. 68 by Benjamin Britten.