2,366 research outputs found
Polynomial identities related to special Schubert varieties
No full textLet S be a single condition Schubert variety with an arbitrary number of strata. Recently, an explicit description of the summands involved in the decomposition theorem applied to such a variety has been obtained in a paper of the second author. Starting from this result, we provide an explicit description of the Poincaré polynomial of the intersection cohomology of S by means of the Poincaré polynomials of its strata, obtaining interesting polynomial identities relating Poincaré polynomials of several Grassmannians, both by a local and by a global point of view. We also present a symbolic study of a particular case of these identities
Double Schubert polynomials do have saturated Newton polytopes
No full text© The Author(s), 2023. Published by Cambridge University Press.We prove that double Schubert polynomials have the saturated Newton polytope property. This settles a conjecture by Monical, Tokcan and Yong. Our ideas are motivated by the theory of multidegrees. We introduce a notion of standardization of ideals that enables us to study nonstandard multigradings. This allows us to show that the support of the multidegree polynomial of each Cohen–Macaulay prime ideal in a nonstandard multigrading, and in particular, that of each Schubert determinantal ideal is a discrete polymatroid.NSFFONDECYTFWOKU Leuve
Schubert: Piano Quintet in A Major ("Trout") – Menahem Pressler (piano), Wolfgang Redik (violin), Firmian Lermer (viola), Martin Rummel (cello), Roberto Di Ronza (double bass)
No full textPressler, M. (Piano), Redik, W. (Violin), Lermer, F. (Viola), Rummel, M. (Cello), di Ronza, R. (Double bass
(A) STUDY ON J. S. BACH, F. SCHUBERT, C. DEBUSSY AND C. FRANCK
No full textThis thesis is a study on the piano music of J.S. Bach, F. Schubert ,C. Debussy and C. Franck, centering on author's graduate reciatal repertoire, with basic reference to the structural elements of the works.
J.S. Bach's Partita No. 1 is consisted of numbers of movements, each in the different character dance. Except Praeludium the basic suite is composed of binary form and each movement is using characteristic rhythm.
F. Schubert's sonata op. posth. D 958 is consisted of 4 movements with rich lyricism and longer melody compared to the classical sonata works. The work shows free modulation using enharmonic, chromatic, and unison tonic modulations.
C. Debussy's Estampes is composed of 3 pieces and they are all in ternary form using of pentatonic scale, whole-tone scale, pedal point, ostinato figure which are the characteristic of impressionism. C. Franck Prelude, chorale and Fugue shows the expansion of it's structure inserting the chorale in prelude fugue and the theme presented in prelude and chorale is shown in fugue again in cyclic form. Also in this work his chromatic style and sudden modulation are shown.;본 논문은 Bach, Schubert, Debussy, Franck의 작품 중 본 연구자의 졸업 연주회 때의 작품을 선택하여 각 작품을 중심으로 간단히 알아보았다.
J.S. Bach의 Partita 제 1번은 성격이 다른 춤곡으로 이루어졌고 기본적인 조곡형식에 전주곡인 Praeludium을 제외하고는 모두 2부형식으로 구성되어 있다. 각 악곡은 특징적인 리듬과 성격을 가지고 있다.
F. Schubert의 Sonata, op. posth, D. 958은 4악장으로 되어있고 서정성이 풍부하며 고전파 sonata작곡가들보다 선율의 길이가 길다. 반음계적 전조, 이명동음적전조, 같은 으뜸음조의 전조를 사용하여 자유로운 전조를 보여주고 있다.
C. Debussy의 Estampes는 3곡으로 이루어져 있으며 모두 3부형식으로 인상주의 음악의 특징인 5음음계(pentatonic scale) 온음음계(whole-tone scale), pedal point 등이 사용되었다.
C. Frank의 Prelude chorale and Fugue는 prelude와 fugue 사이에 chorale을 삽입함으로써 규모를 확대시켰으며 prelude와 chorale에서 제시된 주제가 fugue에서 그대로 응용됨으로써 순환형식(cyclic form)을 나타낸다. 또 이 곡에서는 그의 반음계적인 스타일과 갑작스런 전조 등이 사용되었다.목차
논문개요 = Ⅳ
Ⅰ. 서론 = 1
Ⅱ. J.S. Bach의 Partita 제1번 B^(b) 장조 = 2
Ⅲ. F. Schubert의 Piano Sonata op. posth D.958, c 단조 = 10
Ⅳ. C. Debussy의 Estampes = 20
Ⅴ. C. Franck의 Prelude chorale and Fugue = 32
Ⅵ. 결론 = 41
BIBLIOGRAPHY = 43
ABSTRACT = 4
Anne and Aaron Richmond Competition for Pianists
No full textThis is the concert program of the Anne and Aaron Richmond Competition for Pianists performance on Wednesday, April 5, 2000 at 7:00 p.m., at the Tsai Performance Center, 685 Commonwealth Avenue. Prelude No. 8 by Frank Martin was performed by all competitors. Heather Shih performed Sonata in C major, Hob. XVI: 50 by Franz Joseph Haydn, Moments Musicaux, Op. 94 by Franz Schubert, and Sonatine by Maurice Ravel. Kanako Nishikawa performed Sonata in F major, KV 332 by Wolfgang Amadeus Mozart, Le Tombeau de Couperin by M. Ravel, and Sonata No. 2 in B-flat minor, Op. 36 by Sergei Rachmaninoff. Hsin-I Lee performed Sonata in A major, D. 959 by F. Schubert, Preludes Nos. 10 and 13, Op. 32 by S. Rachmaninoff, and Serenade in A major by Igor Stravinsky. Sakura Iwata performed English Suite No. 5 in E minor, BWV 810 by Johann Sebastian Bach, Sonata in E-flat major, Op. 7 by Ludwig van Beethoven, and Vallee d'Obermann by Franz Liszt. Dmitry Gordin performed Sonata No. 7 in D major, Op. 10 No. 3 by L. v. Beethoven, Polonaise in F-sharp minor, Op. 44 by Frederic Chopin, and Prelude and Fugue in D-flat major, No. 15, Op. 87 by Dmitri Shostakovich. Digitization for Boston University Concert Programs was supported by the Boston University Humanities Library Endowed Fund
Maratus laurenae Schubert 2020, sp. nov.
No full textMaratus laurenae sp. nov. (Figs 22 A–F, 23A–C, 24A–C, 25A–F, 26A–D, 27A–C) Material examined. MALE HOLOTYPE (WAM-T150115) from Australia, Western Australia, Mt Lindesay National Park, 34°49’57.0144’’S, 117°19’22.7496’’E, 27 Sep 2019. PARATYPE: One female (WAM-T150116), same locality data as holotype. Etymology. The specific name (laurenae) is a matronym in honour of Lauren Marcianti who has provided the author of this paper with support, encouragement and field assistance over the past several years of researching peacock spiders. Diagnosis. This species is placed in the Maratus linnaei group (Otto & Hill, 2019a) with respect to the subtrapezoidal opisthosoma of the male which tapers steeply towards the truncated rear margin. Males of M. laurenae can be easily separated from other members of the M. linnaei group by the presence of large lateral opsthosomal flaps, and by the unique dorsal opisthosomal pattern by which a series of irregular bands of red scales extend from each side of a central, tear-drop shaped, black marking (Fig 22 A–F). Females of M. laurenae are similar to other Western Australian Maratus females and identification may not be possible without association with a male. The structures of the external male and female genitalia of M. laurenae are of little use in distinguishing them from other Southwestern Australia endemic Maratus species. Description. Male. Carapace dark brown, almost black and mostly glabrous. Ocular quadrangle region covered almost entirely in red-orange scales, with two lighter tracts extending from between AME and ALE (Fig. 22 A–F). Median thoracic tract comprised of white setae extends from rear slope of carapace to rear margin of ocular quadrangle region (some scales rubbed off, shown in Fig. 22A, B, E, F). Lateral tracts of white setae situated behind each PLE. Thin marginal band of white setae present at rim of carapace. PME closer to PLE than to ALE. AME and ALE ringed with short, red-orange scales dorsally and short, light grey scales laterally and ventrally. Long, white setae project downwards from below anterior eyes over clypeus forming triangular shape (Fig. 22D). Cuticular surface of clypeus black and covered with short, white setae. Chelicerae dark brown and glabrous. Coxae and endites pale and glabrous, labium dark brown. Sternum dark brown with light covering of fine, white setae (Fig. 23C). Opisthosoma narrow and sub-trapezoidal in shape, tapering steeply toward truncated rear margin. Dorsal opithosoma distinctively marked with central, lanceolate figure comprised of dark scales. A series of irregular bands of red scales extend from each side of central opisthosomal figure to lateral edges of opisthosoma on a background of iridescent blue-turquoise scales. Anterior margin of dorsal opisthosoma covered lightly with bright white scales, with two anterolateral tracts of red scales below (Fig. 22 A–F). Colular tuft of white setae situated above black spin- nerets. Ventral opisthosoma dark brown and scattered with short, creamy coloured setae (Fig. 23C). Legs I and II subequal in length, legs III and IV longer, legs III by far longest. Each leg with thick covering of tan setae interspersed with lighter covering of black and white setae. Legs III and IV with thicker covering of black and white setae. Legs III heavily fringed with black, white, and tan setae. Tarsi of legs III covered with white setae (Fig. 22 A–F). Pedipalp covered dorsally with long, off-white setae. Relatively large male palpal bulb with retrolateral sperm duct loop, large retrobasal tegular lobe, finger-like retrolateral tibial apophysis, embolic disc with anticlockwise coiled embolus. Distal embolus with two seemingly fused apices when viewed laterally. Heavily sclerotized cuticle on tegulum prolaterally below emolic disc (Fig. 24 A–C). Female. Ocular quadrangle region with light cover of red-brown to off-white setae (Fig. 25 A–E). Tract of off-white setae extends towards rear margin of ocular quadrangle from behind each AME and at the median. Median thoracic tract comprised of off-white setae extends from rear slope of carapace to posterior margin of ocular quadrangle region. Lateral tracts of off-white setae extend from below PLE to rear margin of carapace. Carapace otherwise dark brown and mostly glabrous and lacking marginal band. PME closer to PLE than to ALE. Anterior margin of ALE and AME with covering of bright orange scales. Long white setae project downwards from below AME forming triangular shape (Fig. 25 B–D). Clypeus covered with short, white setae. Chelicerae dark brown and glabrous. Coxae and endites pale, labium dark brown, translucent and mostly glabrous. Sternum dark brown with light covering of fine, white setae (Fig. 26C). Dorsal opisthosoma dark brown with incomplete cover of off-white and dark brown setae. Surface above each of the four dorsal opisthosomal apodemes covered with white patches of setae. Posterior and lateral edges of dorsal opisthosoma bordered by irregular broad band of off-white and light brown setae (Fig. 25 A–F). Colular tuft of white setae situated above spinnerets. Lateral and ventral opisthosoma light brown with irregular dark spots. Legs I and II subequal in length, legs III and IV longer, legs III longest. Each leg with alternating light and dark brands comprised of white and brown setae, integument below light brown and translucent. Pedipalps light brown and translucent with incomplete cover of white setae. Epigynum with pair of large circular fossae separated by septum. Circular posterior spermatheca behind each fossa. Sclerotized ducts present anterior to each spermatheca (Fig. 26D). Variation. Unknown. Courtship display. The male elevates legs III, holding them in place for the duration of the courtship display. When the opisthosoma reaches complete elevation, the opisthosomal flaps are extended, and the opisthosoma is waved, with legs III slightly flexing. As the female approaches, the male retracts the opisthosomal flaps and slowly waves the opisthosoma from side to side, seemingly randomly extending and retracting the opisthosomal flaps during the duration of the display (Fig. 27 A–C). (Note: only partial courtship display observed, the males may exhibit a more complete courtship display with multiple modes of courtship). Dimensions. Male. Total length: 5.08. Carapace length 2.52. Opisthosoma length 2.58. Leg I length: 2.90. Leg II length: 2.90. Leg III length: 4.67. Leg IV length: 3.97. Dimensions. Female. Total length: 5.54. Carapace length 2.53. Opisthosoma length: 3.21. Leg I length: 2.88. Leg II length: 2.91. Leg III length: 4.36. Leg IV length: 3.88. Distribution. Known only from the type locality in Mount Lindesay National Park, Western Australia (Fig. 1). Found in the leaf litter in the habitat shown in Fig. 28A, B. Remarks. The sub-trapezoidal opisthosoma of the male which tapers steeply towards the truncated rear margin suggests that this species is a member of the M. linnaei group and the morphological similarities between all species in this group are quite clear. Curiously, however, males of this species bear large lateral opisthosomal flaps (unlike all other members of the M. linnaei group) and the opisthosomal markings and shape of the fan when extended resemble members of the Maratus mungaich group. This may indicate that these two species groups are more closely related than previously thought, or that some morphological characters are independently evolving in different lineages. DNA sequencing or population genetic studies with a focus on geography will be needed to resolve the true phylogenetic relationships within Maratus.Published as part of Schubert, Joseph, 2020, Seven new species of Australian peacock spiders (Araneae: Salticidae: Euophryini: Maratus Karsch, 1878), pp. 1-44 in Zootaxa 4758 (1) on pages 19-24, DOI: 10.11646/zootaxa.4758.1.1, http://zenodo.org/record/373065
Morphological Characteristics of Electrophysiologically Characterized Layer Vb Pyramidal Cells in Rat Barrel Cortex
No full textContains fulltext :
167954.PDF (Publisher’s version ) (Open Access)Layer Vb pyramidal cells are the major output neurons of the neocortex and transmit the outcome of cortical columnar signal processing to distant target areas. At the same time they contribute to local tactile information processing by emitting recurrent axonal collaterals into the columnar microcircuitry. It is, however, not known how exactly the two types of pyramidal cells, called slender-tufted and thick-tufted, contribute to the local circuitry. Here, we investigated in the rat barrel cortex the detailed quantitative morphology of biocytin-filled layer Vb pyramidal cells in vitro, which were characterized for their intrinsic electrophysiology with special emphasis on their action potential firing pattern. Since we stained the same slices for cytochrome oxidase, we could also perform layer- and column-related analyses. Our results suggest that in layer Vb the unambiguous action potential firing patterns "regular spiking (RS)" and "repetitive burst spiking (RB)" (previously called intrinsically burst spiking) correlate well with a distinct morphology. RS pyramidal cells are somatodendritically of the slender-tufted type and possess numerous local intralaminar and intracolumnar axonal collaterals, mostly reaching layer I. By contrast, their transcolumnar projections are less well developed. The RB pyramidal cells are somatodendritically of the thick-tufted type and show only relatively sparse local axonal collaterals, which are preferentially emitted as long horizontal or oblique infragranular collaterals. However, contrary to many previous slice studies, a substantial number of these neurons also showed axonal collaterals reaching layer I. Thus, electrophysiologically defined pyramidal cells of layer Vb show an input and output pattern which suggests RS cells to be more "locally segregating" signal processors whereas RB cells seem to act more on a "global integrative" scale
American Vocalarts Quintet, March 20, 1992
No full textThis is the concert program of the American Vocalarts Quintet performance on Friday, March 20, 1992 at 8:00 p.m., at the Tsai Performance Center, 685 Commonwealth Avenue. Works performed were Lebenslust by Franz Schubert, Schicksalslenker by F. Schubert, Der Tanz by F. Schubert, Minnespiel, Op. 101 by Robert Schumann, Six Nocturnes from "Nuits d'été à Pausilippe" by Gaetano Donizetti, L'asia in faville by Gioachino Rossini, and Chansons des Bois d'Amaranthe by Jules Massenet. Digitization for Boston University Concert Programs was supported by the Boston University Humanities Library Endowed Fund
Measuring industry-science links through inventor-author relations: A profiling method
No full textIn this pilot study we examine the performance of text-based profiling in recovering a set of validated inventor-author links. In a first step we match patents and publications solely based on their similarity in content. Next, we compare inventor and author names on the highest ranked matches for the occurrence of name matches. Finally, we compare these candidate matches with the names listed in a validated set of inventor-author names. Our text-based profile methodology performs significantly better than a random matching of patents and publications, suggesting that text-based profiling is a valuable complementary tool to the name searches used in previous studies.innovation; industry-science links; text-based profiling;
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