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Tytuł:
Extremal values of differential equations with application to control systems
Autorzy:
Górecki, Henryk
Zaczyk, Mieczysław
Powiązania:
https://bibliotekanauki.pl/articles/2173558.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
extremal values
characteristic equation
transfer function
Dirac's impulse
multiple root
wartości ekstremalne
równanie charakterystyczne
funkcja transferu
impuls Diraca
Opis:
In the paper, maximal values xe(τ) of the solutions x(t) of the linear differential equations excited by the Dirac delta function are determined. The analytical solutions of the equations and also the maximal positive values of these solutions are obtained. The analytical formulae enable the design of the system with prescribed properties. The complementary case to the earlier paper is presented. In an earlier paper it was assumed that the roots si are different, and now we consider the case when s1=s2=...=sn.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2021, 69, 1; art. no. e136041
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Extremal values of differential equations with application to control systems
Autorzy:
Górecki, Henryk
Zaczyk, Mieczysław
Powiązania:
https://bibliotekanauki.pl/articles/2090724.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
extremal values
characteristic equation
transfer function
Dirac's impulse
multiple root
wartości ekstremalne
równanie charakterystyczne
funkcja transferu
impuls Diraca
Opis:
In the paper, maximal values xe(τ) of the solutions x(t) of the linear differential equations excited by the Dirac delta function are determined. The analytical solutions of the equations and also the maximal positive values of these solutions are obtained. The analytical formulae enable the design of the system with prescribed properties. The complementary case to the earlier paper is presented. In an earlier paper it was assumed that the roots si are different, and now we consider the case when s1=s2=...=sn.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2021, 69, 1; e136041, 1--5
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Henryk Mikołaj Górecki i jego muzyka
Autorzy:
Siedlik, Włodzimierz
Powiązania:
https://bibliotekanauki.pl/articles/669039.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Papieski Jana Pawła II w Krakowie
Tematy:
choral music
poetry
sacred music
religious concentration and meditation
musical composition
simplicity
logic RT
Opis:
Henryk Mikołaj Górecki, one of the most renowned Polish composers, died on 12 November 2009. Athough he is no longer present among us, his music lives on. Sadly, many of contemporary musicians did not or did not want to notice the music composed by Professor Górecki. Some listeners got shocked, others were astonished by it. The music, aesthetic and philosophical values of his III Symphony were only discerned after 17 years. The triumphal return to Poland of the III Symphony’s scores arouse the great, unprecedented worldwide, interest in H. M. Górecki’s compositions. This unbelievably modest artist, both in life and in art, remained uncompromising until the end.Henryk Mikołaj Górecki created his compositions while being deeply rooted in the Polish tradition, particularly folk and religious, which was his source of inspiration. Before developing his own style he went a long artistic way. Always openly declared his origin that can be heard in his compositions and in his views of which he was never ashamed. He lived an austere life among his highlanders, disregarding his fame, solemn banquets and presents.During the last 20 years I have been privileged to perform Professor Górecki’s choral music with ten choirs, including 4 professional ones at the distinguished concerts, competitions and festivals. The choral music has been recorded on 12 CD records featuring various performers. With the assistance of the Choir of Polish Radio and as requested by the composer, I delivered several first performances of his works.I am a great debtor to the Professor for his teaching me humbleness towards music, humbleness towards every artist, co-performer and myself.
Henryk Mikołaj Górecki, one of the most renowned Polish composers, died on 12 November 2009. Athough he is no longer present among us, his music lives on. Sadly, many of contemporary musicians did not or did not want to notice the music composed by Professor Górecki. Some listeners got shocked, others were astonished by it. The music, aesthetic and philosophical values of his III Symphony were only discerned after 17 years. The triumphal return to Poland of the III Symphony’s scores arouse the great, unprecedented worldwide, interest in H. M. Górecki’s compositions. This unbelievably modest artist, both in life and in art, remained uncompromising until the end.Henryk Mikołaj Górecki created his compositions while being deeply rooted in the Polish tradition, particularly folk and religious, which was his source of inspiration. Before developing his own style he went a long artistic way. Always openly declared his origin that can be heard in his compositions and in his views of which he was never ashamed. He lived an austere life among his highlanders, disregarding his fame, solemn banquets and presents.During the last 20 years I have been privileged to perform Professor Górecki’s choral music with ten choirs, including 4 professional ones at the distinguished concerts, competitions and festivals. The choral music has been recorded on 12 CD records featuring various performers. With the assistance of the Choir of Polish Radio and as requested by the composer, I delivered several first performances of his works.I am a great debtor to the Professor for his teaching me humbleness towards music, humbleness towards every artist, co-performer and myself.
Źródło:
Pro Musica Sacra; 2012, 10
2083-4039
Pojawia się w:
Pro Musica Sacra
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Extremal properties of linear dynamic systems controlled by Dirac’s impulse
Autorzy:
Białas, Stanisław
Górecki, Henryk
Zaczyk, Mieczysław
Powiązania:
https://bibliotekanauki.pl/articles/331114.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
extremal properties
Dirac's impulse
linear system
transfer function
właściwości ekstremalne
impuls Diraca
układ liniowy
funkcja przenoszenia
Opis:
The paper concerns the properties of linear dynamical systems described by linear differential equations, excited by the Dirac delta function. A differential equation of the form an x(n) (t) + ∙∙∙ a1 x’(t) + a0 x(t) = bm u (t) + ∙∙∙ + b1 u’(t) + b0 u(t) is considered with ai, bj >0. In the paper we assume that the polynomials Mn(s) = ansn + ∙∙∙ + a1s + a0 and Lm(s) = bmsm + ∙∙∙ + b1s + b0 partly interlace. The solution of the above equation is denoted by x(t, Lm, Mn). It is proved that the function x(t, Lm, Mn) is nonnegative for t ∊ (0, ∞) , and does not have more than one local extremum in the interval (0, ∞) (Theorems 1, 3 and 4). Besides, certain relationships are proved which occur between local extrema of the function x(t, Lm, Mn), depending on the degree of the polynomial Mn(s) or Lm(s) (Theorems 5 and 6).
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 1; 75-81
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Katyń 1940 na zlecenie Prezesa Zarządu Krzysztofa Czabańskiego.
Data publikacji:
2008
Wydawca:
Warszawa : Polskie Radio
Tematy:
Czabański, Krzysztof
Kaczyński, Lech (1949-2010)
Anders, Władysław (1892-1970)
Panderecki, Krzysztof
Górecki, Henryk M.
Panufnik, Andrzej
Rudnik, Eugeniusz
Katyń 1940 (audycje radiowe)
Audycje radiowe Polska
Dokumenty dźwiękowe
Opis:
Album "Katyń 1940" to zbiór reportaży, dokumenów i archiwalnych audycji radiowych przywołujących historyczne i narodowe wydarzenie: zamordowanie przez NKWD polskich oficerów we wsi Katyń, koło Smoleńska w kwietniu i maju 1940 roku. To czteropłytowe wydawnictwo zawiera: fragmenty uroczystości narodowych, które zostały zorganizowane przez Kancelarię Prezydenta Rzeczpospolitej Polskiej Lecha Kaczyńskiego, w listopadzie 2007 roku na warszawskim Placu Marszałka Józefa Piłsudskiego; zarchiwizowane materiały radiowe (m.in. archiwalne audycje Radia Wolna Europa, wywiad z gen. Andersem, reportaże i dokumenty Studia Reportażu i Dokumentu Polskiego Radia), utwory muzyczne oddające hołd pamięci wydarzeniom katyńskim (K. Panderecki, H.M. Górecki, A. Panufnik, E. Rudnik), pełną listę osób zamordowanych w Katyniu, Charkowie, Twerze i Miednoje, pośmiertnie mianowanych przez Prezydenta Polski na kolejne stopnie wojskowe.
Dostawca treści:
Bibliografia CBW
Książka
Tytuł:
At the “Crux” of Henryk Gorecki’s Totus Tuus, Op. 60: Signification of Polish Catholic Marian Devotion
Autorzy:
Helmcke, William M.
Powiązania:
https://bibliotekanauki.pl/articles/780385.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet im. Adama Mickiewicza w Poznaniu
Tematy:
Henryk Mikołaj Górecki
Totus Tuus
Polish
20th-century
Minimalism
Sacred Music
Pope John Paul II
Homophony
Motive
Augenmusik
Opis:
Henryk Górecki was a devout Polish Catholic composer. He testified that many of his compositions refer to Bogurodzica, a medieval Polish hymn pertaining to Marian devotion. Furthermore, Górecki himself wrote the first seven notes of Bogurodzica on a compositional sketch. This act strongly indicates that the first seven notes of Bogurodzica signify its sum. Consequently, the article has argued that Górecki derived three motives from the first seven notes of Bogurodzica and transformed them into musical signifiers of signified Polish Catholic Marian devotion in Totus Tuus. These motives include a descending fourth derived from Bogurodzica notes 3-6; a verticalization of the fourth; incomplete neighbor from Bogurodzica notes 1-2 and complete neighbor from Bogurodzica notes 5-7; and a voice exchange that visually depicts the Christian Cross as Augenmusik. The Bogurodzica-basei motives thoroughly saturate the crux of the composition. Within the sacred pitch space of Totus Tuus Górecki, the high priest of Holy Minimalism, delivers a profoundly moving autobiographical homily preaching the musical signification of Marian devotion.
Źródło:
Interdisciplinary Studies in Musicology; 2015, 14; 136-150
1734-2406
Pojawia się w:
Interdisciplinary Studies in Musicology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Goreckïs creative journeys between nature and culture. Around the ‘Copernicari Symphony
Autorzy:
Małecka, Teresa
Powiązania:
https://bibliotekanauki.pl/articles/780295.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet im. Adama Mickiewicza w Poznaniu
Tematy:
Henryk Mikołaj Górecki
Copernicus
symphony
nature
culture
beauty
contemplation
universe
singing
sonority
Opis:
Henryk M. Gôrecki’s oeuvre is characteristic in its almost constant oscillation between meditation on the world, the universe, nature, and implication in history, tradition, culture; between the delight in the beauty of nature and the delight in culture. ‘We were no longer the centre of the universe, we became nothing.’This idea of the composer was fundamental for his creation of his II Symphony. Its two-movement form was a consequence of his own understanding of the Copernican revolution. Its Latin text was derived from the Book of Psalms; due to the circumstances of its commission, it also includes a fragment from Copernicus tractate. The distribution of tension in the first movement is non-trivial. Judging by the composer’s “cosmic” fascinations, the beginning is a “Big Bang”. The central climax of this movement appears in its finale, when the huge chorus sings and cries the words of the Psalms. In Movement Two we are ushered into a different, a lyrical world of contemplation. The soloists are singing in traditional and simplest possible way. The chorus, harmonized modally is singing the words of Nicolaus Copernicus about the “heaven” - “beauty” relation. Chorale-like, they place us in a transcendental dimension. The work is crowned with long-standing yet pulsating sonorities of the orchestral mass in pentatonic interval structure, resolved into an A flat major triad: in the tradition of Baroque rhetoric, depicts emotions of stillness, of the calm of the night; in late Romanticism - the emotion of mild and solemn. Perhaps these sonorities of the orchestral mass in the finale - that is exactly the sound of the Universe as Górecki has been expressed?
Źródło:
Interdisciplinary Studies in Musicology; 2009, 8; 173-188
1734-2406
Pojawia się w:
Interdisciplinary Studies in Musicology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Awangardowe techniki kompozytorskie w Trzech diagramach na flet solo Henryka Mikołaja Góreckiego
Avant-garde compositional techniques in Three diagrams for solo flute by Henryk Mikołaj Górecki
Autorzy:
Sucharska, Weronika
Powiązania:
https://bibliotekanauki.pl/articles/514016.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Jagielloński. Koło Naukowe Studentów Muzykologii UJ
Tematy:
Henryk Mikołaj Gorecki
Three diagrams for solo flute
compositional techniques
punctualism
aleatorism
serialism
Opis:
The aim of the article is to analyse Three diagrams for solo flute Op. 15 by Henryk Mikołaj Gorecki in the light of compositional techniques used in the piece as well as placing the work in the context of the early output of the composer. In order to achieve the defined aims the score has been analysed as well as the statements of the composer and of people related to him. This research enabled the author to precise in what ways Gorecki uses techniques such as serialism, punctualism and aleatorism. In the paper composer’s individual and innovative approach to the avant-garde techniques is revealed. However, the idiomatic elements of the whole Gorecki’s style are also present in the analysed work. The article consists of two parts. The first part includes the problem of history and the style of Henryk Mikołaj Gorecki’s early works. The second part is devoted to the analysis and conclusions.
Źródło:
Kwartalnik Młodych Muzykologów UJ; 2016, 4(31); 78-99
2956-4107
2353-7094
Pojawia się w:
Kwartalnik Młodych Muzykologów UJ
Dostawca treści:
Biblioteka Nauki
Artykuł
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