The unfinished opera Modest Mussorgsky was written by a man who was a member of numeric group.
06418ee1479f602fd876257b3f9cbca9
Salammbô (Mussorgsky) Salammbô (Russian: Саламбо, "Salambo" [alternative title: The Libyan (Russian: Ливиец, "Liviyets" )]) is an unfinished opera in 4 acts by Modest Mussorgsky. The fragmentary Russian language libretto was written by the composer, and is based on the novel "Salammbô" (1862) by Gustave Flaubert, but includes verses taken from poems by Vasiliy Zhukovsky, Apollon Maykov, Aleksandr Polezhayev, and other Russian poets.
07b8c3a57d83dbbef189c4dae686ae7f
Modest Mussorgsky Modest Petrovich Mussorgsky (Russian: Моде́ст Петро́вич Му́соргский ; ] ; 21 March [O.S. 9 March] 1839 – 28 March [O.S. 16 March] 1881 ) was a Russian composer, one of the group known as "The Five". He was an innovator of Russian music in the romantic period. He strove to achieve a uniquely Russian musical identity, often in deliberate defiance of the established conventions of Western music.
481e60f416cbd0c74d9534dc9a77d43a
Wiener Gruppe Wiener Gruppe ("Vienna Group") was a small and loose avant-garde constellation of Austrian poets and writers, which arose from an older and wider postwar association of artists called Art-Club. The group was formed around 1953 under the influence of H. C. Artmann (1921–2000) in Vienna and existed for about a decade. Besides Artmann are Friedrich Achleitner (b. 1930), Konrad Bayer (1932–1964), Gerhard Rühm (b. 1930) and Oswald Wiener (b. 1935) regarded as members.
8cd92ed2596c11579123179a54a8e976
Discrete logarithm In mathematics, a discrete logarithm is an integer "k", solving the equation "b" = "g" , where "b", not being the identity, and "g" are elements of an arbitrary group (not necessarily connected with integers at all), where the group operation is denoted as multiplication, and thus an integer "exponent" "k" induces the usual meaning of "k"-fold multiplication of a group element with itself. In case such a "k" exists, it is denoted as "k" = log "g" . Discrete logarithms are thus the group-theoretic analogue of ordinary logarithms, which solve the analogue equation for real numbers "b" and "g", where "b" ≠ "1" is the base of the logarithm, and "g" > "0" is the value whose logarithm is being taken.
1e84c09b257d85a1ae3fb19bf29dcc88
László Melis László Melis (b. Budapest, Hungary, 14 August 1953) is a Hungarian composer and violinist. He writes primarily in the minimal style and his compositions are often characterized by a propulsive, bouncy quality. Melis was a founding member of the Hungarian new music group Group 180, which during its existence (1978-1990) performed and recorded five of his compositions.
f94943dabfb556e58bfe5078b62179b2
Ján Zimmer Ján Zimmer (16 May 1926 – 21 January 1993) was a Slovak post-romantic composer and pianist.
2a82a5c1f641de946b042e40778250fc
NumPy NumPy (pronounced ( ) or sometimes ( )) is a library for the Python programming language, adding support for large, multi-dimensional arrays and matrices, along with a large collection of high-level mathematical functions to operate on these arrays. The ancestor of NumPy, Numeric, was originally created by Jim Hugunin with contributions from several other developers. In 2005, Travis Oliphant created NumPy by incorporating features of the competing Numarray into Numeric, with extensive modifications. NumPy is open-source software and has many contributors.
5b0b1b109af8defbe8e6f3ee4daac766
Boris Godunov (opera) Boris Godunov (Russian: Борис Годунов , "Borís Godunóv") is an opera by Modest Mussorgsky (1839–1881). The work was composed between 1868 and 1873 in Saint Petersburg, Russia. It is Mussorgsky's only completed opera and is considered his masterpiece. Its subjects are the Russian ruler Boris Godunov, who reigned as Tsar (1598 to 1605) during the Time of Troubles, and his nemesis, the False Dmitriy (reigned 1605 to 1606). The Russian-language libretto was written by the composer, and is based on the drama "Boris Godunov" by Aleksandr Pushkin, and, in the Revised Version of 1872, on Nikolay Karamzin's "History of the Russian State".
98a0c21089b71599ed0757294f95e430
Burnside's lemma Burnside's lemma, sometimes also called Burnside's counting theorem, the Cauchy–Frobenius lemma or the orbit-counting theorem, is a result in group theory which is often useful in taking account of symmetry when counting mathematical objects. Its various eponyms are based on William Burnside, George Pólya, Augustin Louis Cauchy, and Ferdinand Georg Frobenius. The result is not due to Burnside himself, who merely quotes it in his book 'On the Theory of Groups of Finite Order', attributing it instead to .
11353c00360e7dd050ded5a562f3e1bc
Formalized Music Formalized Music: Thought and Mathematics in Composition is a book by Greek composer, architect, and engineer Iannis Xenakis in which he explains his motivation, philosophy, and technique for composing music with stochastic mathematical functions. It was published in Paris in 1963 as "Musiques formelles: nouveaux principes formels de composition musicale" as a special double issue of "La Revue musicale" and republished in an expanded edition in 1981 in Paris by Stock Musique. It was later translated into English with three added chapters and published in 1971 by Indiana University Press, republished in 1992 by Pendragon Press with a second edition published in 2001, also by Pendragon. The book contains the complete FORTRAN program code for one of Xenakis's early computer music composition programs GENDY. It has been described as a groundbreaking work.
e993767b492ecad20ffb6e28fcd83eae
Adam Nussbaum Adam Nussbaum is an American jazz drummer.
29dc953fd1abe55b322f96e499b2a30c
Émile Léonard Mathieu Émile Léonard Mathieu (] ; 15 May 1835, Metz – 19 October 1890, Nancy) was a French mathematician. He is most famous for his work in group theory and mathematical physics. He has given his name to the Mathieu functions, Mathieu groups and Mathieu transformation. He authored a treatise of mathematical physics in 6 volumes.
718a23a6f27528690dbc180e739302ef
Nu Troop Gary Crosby's Nu Troop is a post-bop jazz group formed in 1991 by musician Gary Crosby in London. Referred to by "The Rough Guide to Jazz" as "one of the most important UK bands", the group won the Best Ensemble award at the Jazz à Vienne festival in 1997, and their album of that year, "Migrations", was described as "superb".
72f3333a1f8ccf06a9fb4f34c23b1d0e
Stanisław Krajewski Stanisław Krajewski (born 1950) is a Polish Jewish philosopher, mathematician and writer, activist of the Jewish minority in Poland.
de5781a12b2a1fbba50b2e2af0fbf92e
Bernard Teissier Bernard Teissier (] ; b. 1945) is a French mathematician and a member of the Nicolas Bourbaki group. His research interests include commutative algebra and algebraic geometry.
0cc01f673f224daa951d603394a211b6
Alan Sokal Alan David Sokal ( ; born January 24, 1955) is a professor of mathematics at University College London and professor of physics at New York University. He works in statistical mechanics and combinatorics. He is best known to the wider public for his criticism of postmodernism, after the Sokal affair in 1996 when his deliberately nonsensical paper was published by Duke University's "Social Text". He also works to counter faulty scientific reasoning, as seen with his involvement in criticising the critical positivity ratio concept in positive psychology.
e4085f8b7819afee2fe07283405f2ee1
The Gamblers (Shostakovich) The Gamblers, Op. 63 (1941-42; "Igroki"), is an unfinished opera by Dmitri Shostakovich, to his own libretto based on Nikolai Gogol's comedy The Gamblers (1842). The surviving first act lasts around 47 minutes.
81193249cb0b08338a195fda068d6bdb
Frederick Stock Frederick Stock (born Friedrich August Stock; November 11, 1872, Jülich, Rhine Province – October 20, 1942, Chicago, Illinois) was a German conductor and composer, most famous for his 37-year tenure as music director of the Chicago Symphony Orchestra.
c97b48ecd841a85b0485ed0da0aaf3ef
Group (mathematics) In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility. One of the most familiar examples of a group is the set of integers together with the addition operation, but the abstract formalization of the group axioms, detached as it is from the concrete nature of any particular group and its operation, applies much more widely. It allows entities with highly diverse mathematical origins in abstract algebra and beyond to be handled in a flexible way while retaining their essential structural aspects. The ubiquity of groups in numerous areas within and outside mathematics makes them a central organizing principle of contemporary mathematics.
add2fda57cc73e4ff41a73469e47f25d
Khovanshchina Khovanshchina (Russian: Хованщина , "Hovánščina", sometimes rendered The Khovansky Affair; since the ending -ščina is pejorative) is an opera (subtitled a 'national music drama') in five acts by Modest Mussorgsky. The work was written between 1872 and 1880 in St. Petersburg, Russia. The composer wrote the libretto based on historical sources. The opera was unfinished and unperformed when the composer died in 1881.
8f6172af80e796edb5f3e625fc09c139
John Gross (musician) John Gross "(né" John Curtis Gross; born on 30 May 1944 Burbank, California) is an American saxophone, flute and clarinet player. He is the creator of a notational method called "Multiphonics for the Saxophone".
80e4f52a224dcf2e2e95591c1076b9fd
Mussorgskij (crater) Mussorgskij is a crater on Mercury. It has a diameter of 125 kilometers. Its name was adopted by the International Astronomical Union in 1979. Mussorgskij is named for the Russian composer Modest Mussorgsky, who lived from 1839 to 1881.