Part 1. Definition
In this task, you are given a set of context paragraphs, some supporting facts and an answer of a question. Your task is to generate question for given answer based on set of context paragraphs, supporting facts and an answer.
Part 2. Example
Context_1 : Charles Edward Ives ( ; October 20, 1874May 19, 1954) was an American modernist composer. He is one of the first American composers of international renown, though his music was largely ignored during his life, and many of his works went unperformed for many years. Over time, he came to be regarded as an "American original". He combined the American popular and church-music traditions of his youth with European art music, and was among the first composers to engage in a systematic program of experimental music, with musical techniques including polytonality, polyrhythm, tone clusters, aleatory elements, and quarter tones, foreshadowing many musical innovations of the 20th century. Context_2 : Daniel Evan Freeman (born 27 April 1959) is an American musicologist who specializes in European art music of the eighteenth century, in particular the musical culture of eighteenth-century Prague and the Bohemian lands. He is also active as a pianist and music editor. Context_3 : Art music (also known as Western classical music, cultivated music, serious music, canonic music, and more flippantly, real music or normal music) is an umbrella term that refers to musical traditions, implying advanced structural and theoretical considerations and a written musical tradition. "Serious" or "cultivated" music are terms frequently used as a contrast for ordinary, everyday music (popular and folk music, also called "vernacular music"). After the 20th century, art music was divided into two extensions: "serious music" and "light music". Context_4 : In the history of European art music, the term "common practice period" refers to the era between the formation and the dissolution of the tonal system. Though there are no exact dates for this phenomenon, most features of the common-practice period persisted from the mid to late baroque period, through the Classical and Romantic periods, or roughly from around 1650 to 1900. While certain prevailing patterns and conventions characterize the music of this period, the time period also saw considerable stylistic evolution. Some conventions evolved during this period that were rarely employed at other times during what may still be labeled "common practice" (for example, Sonata Form). Thus, the dates 16501900 are necessarily nebulous and arbitrary borders that depend on context. The most important unifying feature through this time period concerns a harmonic language to which modern music theorists can apply Roman numeral analysis. Context_5 : The Festival Oude Muziek Utrecht ("Utrecht Early Music Festival") is an annual music festival that showcases and celebrates early European art music. The ten-day festival takes place in the Dutch city of Utrecht, and begins in August. The programme comprises concerts, activities, lectures, exhibitions, and a symposium. Context_6 : Assaf Shelleg (Hebrew: ), is a musicologist and pianist, a senior lecturer of musicology at The Hebrew University of Jerusalem. He was previously the Schusterman Visiting Assistant Professor of Musicology and Jewish Studies in the Department of Religious Studies at the University of Virginia (201114), and had taught prior to that as the visiting Efroymson Scholar in the Jewish, Islamic & Near Eastern Languages and Cultures Department at Washington University in St. Louis (200911). Shelleg specializes in twentieth-century Jewish and Israeli art music and has published in some of the leading journals in both musicology and Israel Studies on topics ranging from the historiography of modern Jewish art music to the theological networks of Israeli art music. Shelleg's book, "Jewish Contiguities and the Soundtrack of Israeli History", appeared in November 2014 with Oxford University Press. The book studies the emergence of modern Jewish art music in central and Western Europe (1910s-1930s) and its translocation to Palestine/Israel (1930s-1970s), exposing the legacies of European antisemitism and religious Judaism in the making of Israeli art music. Moving to consider the dislocation of modern Jewish art music the book examines the paradoxes embedded in a Zionist national culture whose rhetoric negated its pasts, only to mask process of hybridizations enchained by older legacies. "Jewish Contiguities" has won the 2015 Engle Prize for the study of Hebrew Music, and the 2016 Jordan Schnitzer Book Award. Context_7 : Vocal harmony is a style of vocal music in which a consonant note or notes are simultaneously sung as a main melody in a predominantly homophonic texture. Vocal harmonies are used in many subgenres of European art music, including Classical choral music and opera and in the popular styles from many Western cultures ranging from folk songs and musical theater pieces to rock ballads. In the simplest style of vocal harmony, the main vocal melody is supported by a single backup vocal line, either at a pitch which is above or below the main vocal line, often in thirds or sixths which fit in with the chord progression used in the song. In more complex vocal harmony arrangements, different backup singers may sing two or even three other notes at the same time as each of the main melody notes, mostly with consonant, pleasing-sounding thirds, sixths, and fifths (although dissonant notes may be used as short passing notes). Context_8 : David Wallis Reeves (February 14, 1838 March 8, 1900), also known as D. W. Reeves or Wally Reeves, was an American composer, cornetist, and bandleader. He developed the American march style, later made famous by the likes of John Philip Sousa, and his innovations include adding a countermelody to the American march form in 1876. Sousa called Reeves "The Father of Band Music in America", and stated he wished he himself had written Reeves' "Second Regiment Connecticut National Guard March". Charles Ives also borrowed from the "Second Connecticut" on four occasions. Context_9 : "Indian classical music is one of many forms of art music that have their roots in particular regional cultures. For other "classical" and art music traditions, see List of classical and art music traditions." Context_10 : Progressive music is music that subverts genre and expands stylistic boundaries outwards. Rooted in the idea of a cultural alternative, musical progressiveness embodies a continuous move between explicit and implicit references to genres and strategies derived from various cultural domains, such as European art music, Celtic folk, West Indian, or African. The word "progressive" comes from the basic concept of "progress", which refers to development and growth by accumulation, and is often deployed in numerous music genres such as progressive country, progressive folk, progressive jazz, and (most significantly) progressive rock. fact_1 : Charles Ives also borrowed from the "Second Connecticut" on four occasions. fact_2 : Charles Edward Ives ( ; October 20, 1874May 19, 1954) was an American modernist composer. fact_3 : He combined the American popular and church-music traditions of his youth with European art music, and was among the first composers to engage in a systematic program of experimental music, with musical techniques including polytonality, polyrhythm, tone clusters, aleatory elements, and quarter tones, foreshadowing many musical innovations of the 20th century. Answer: 1874May
Answer: What is the birthyear of the American composer that borrowed from "Second Connecticut" on four occasions and combined American popular and church-music traditions with European art music?
Explanation: From the fact_1 from context _8, and fact _2 and fact _3 from context _1, we can arrive at 1874 May which is accurate answer of generated question.
Part 3. Exercise
Context_1 : In quantum mechanics, quantum logic is a set of rules for reasoning about propositions that takes the principles of quantum theory into account. This research area and its name originated in a 1936 paper by Garrett Birkhoff and John von Neumann, who were attempting to reconcile the apparent inconsistency of classical logic with the facts concerning the measurement of complementary variables in quantum mechanics, such as position and momentum. Context_2 : In mathematics, Jordan operator algebras are real or complex Jordan algebras with the compatible structure of a Banach space. When the coefficients are real numbers, the algebras are called Jordan Banach algebras. The theory has been extensively developed only for the subclass of JB algebras. The axioms for these algebras were devised by . Those that can be realised concretely as subalgebras of self-adjoint operators on a real or complex Hilbert space with the operator Jordan product and the operator norm are called JC algebras. The axioms for complex Jordan operator algebras, first suggested by Irving Kaplansky in 1976, require an involution and are called JB* algebras or Jordan C* algebras. By analogy with the abstract characterisation of von Neumann algebras as C* algebras for which the underlying Banach space is the dual of another, there is a corresponding definition of JBW algebras. Those that can be realised using ultraweakly closed Jordan algebras of self-adjoint operators with the operator Jordan product are called JW algebras. The JBW algebras with trivial center, so-called JBW factors, are classified in terms of von Neumann factors: apart from the exceptional 27 dimensional Albert algebra and the spin factors, all other JBW factors are isomorphic either to the self-adjoint part of a von Neumann factor or to its fixed point algebra under a period two *-anti-automorphism. Jordan operator algebras have been applied in quantum mechanics and in complex geometry, where Koecher's description of bounded symmetric domains using Jordan algebras has been extended to infinite dimensions. Context_3 : The MANIAC (Mathematical Analyzer, Numerical Integrator, and Computer" or Mathematical Analyzer, Numerator, Integrator, and Computer") was an early computer built under the direction of Nicholas Metropolis at the Los Alamos Scientific Laboratory. It was based on the von Neumann architecture of the IAS, developed by John von Neumann. As with all computers of its era, it was a one-of-a-kind machine that could not exchange programs with other computers (even other IAS machines). Metropolis chose the name MANIAC in the hope of stopping the rash of silly acronyms for machine names, although von Neumann may have suggested the name to him. Context_4 : Henry Pierce Stapp (born March 23, 1928 in Cleveland, Ohio) is an American mathematical physicist, known for his work in quantum mechanics, particularly the development of axiomatic S-matrix theory, the proofs of strong nonlocality properties, and the place of free will in the "orthodox" quantum mechanics of John von Neumann. Context_5 : The book Mathematical Foundations of Quantum Mechanics (1932) by John von Neumann is an important early work in the development of quantum theory. Context_6 : John von Neumann ( ; Hungarian: "Neumann Janos Lajos" , ] ; December 28, 1903 February 8, 1957) was a Hungarian-American mathematician, physicist, and computer scientist. He made major contributions to a number of fields, including mathematics (foundations of mathematics, functional analysis, ergodic theory, representation theory, operator algebras, geometry, topology, and numerical analysis), physics (quantum mechanics, hydrodynamics, and quantum statistical mechanics), economics (game theory), computing (Von Neumann architecture, linear programming, self-replicating machines, stochastic computing), and statistics. Context_7 : The John von Neumann Award, named after John von Neumann is given annually by the Rajk Laszlo College for Advanced Studies (Budapest, Hungary), to an outstanding scholar in the exact social sciences, whose works have had substantial influence over a long period of time on the studies and intellectual activity of the students of the college. The award was established in 1994 and is given annually. In 2013, separately from the annual prize, Kenneth J. Arrow was given the Honorary John von Neumann Award. Context_8 : In mathematics and functional analysis a direct integral is a generalization of the concept of direct sum. The theory is most developed for direct integrals of Hilbert spaces and direct integrals of von Neumann algebras. The concept was introduced in 1949 by John von Neumann in one of the papers in the series "On Rings of Operators". One of von Neumann's goals in this paper was to reduce the classification of (what are now called) von Neumann algebras on separable Hilbert spaces to the classification of so-called factors. Factors are analogous to full matrix algebras over a field, and von Neumann wanted to prove a continuous analogue of the ArtinWedderburn theorem classifying semi-simple rings. Context_9 : In quantum statistical mechanics, the von Neumann entropy, named after John von Neumann, is the extension of classical Gibbs entropy concepts to the field of quantum mechanics. For a quantum-mechanical system described by a density matrix , the von Neumann entropy is Context_10 : Grete (Henry-)Hermann (March 2, 1901 April 15, 1984) was a German mathematician and philosopher noted for her work in mathematics, physics, philosophy and education. She is noted for her early philosophical work on the foundations of quantum mechanics, and is now known most of all for an early, but long-ignored refutation of a "no-hidden-variable theorem" by John von Neumann. The disputed theorem and the fact that Hermann's critique of this theorem remained nearly unknown for decades are considered to have had a strong influence on the development of quantum mechanics. fact_1 : The book Mathematical Foundations of Quantum Mechanics (1932) by John von Neumann is an important early work in the development of quantum theory. fact_2 : John von Neumann ( ; Hungarian: "Neumann Janos Lajos" , ] ; December 28, 1903 February 8, 1957) was a Hungarian-American mathematician, physicist, and computer scientist. Answer: 1932
Answer:
The book Mathematical Foundations of Quantum Mechanics, released in which year, by John von Neumann?