Ques: Information: - Sir Alexander Oppenheim , OBE FRSE PMN ( 4 February 1903 -- 13 December 1997 ) was a British mathematician . In mathematics , his most notable contribution is his Oppenheim conjecture . - Ergodic theory (Ancient Greek: "ergon" work, "hodos" way) is a branch of mathematics that studies dynamical systems with an invariant measure and related problems. Its initial development was motivated by problems of statistical physics. - Mathematics (from Greek "mathma", knowledge, study, learning) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics. - In number theory, the field of Diophantine approximation deals with the approximation of real numbers by rational numbers. It is named after Diophantus of Alexandria. - A mathematical problem is a problem that is amenable to being represented, analyzed, and possibly solved, with the methods of mathematics. This can be a real-world problem, such as computing the orbits of the planets in the solar system, or a problem of a more abstract nature, such as Hilbert's problems.<br> It can also be a problem referring to the nature of mathematics itself, such as Russell's Paradox. - A mathematician is someone who uses an extensive knowledge of mathematics in his/her work, typically to solve mathematical problems. - In Diophantine approximation, the Oppenheim conjecture concerns representations of numbers by real quadratic forms in several variables. It was formulated in 1929 by Alexander Oppenheim and later the conjectured property was further strengthened by Davenport and Oppenheim. Initial research on this problem took the number "n" of variables to be large, and applied a version of the Hardy-Littlewood circle method. The definitive work of Margulis, settling the conjecture in the affirmative, used methods arising from ergodic theory and the study of discrete subgroups of semisimple Lie groups. - In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables. For example, is a quadratic form in the variables "x" and "y". After reading the paragraphs above, we are interested in knowing the entity with which 'alexander oppenheim' exhibits the relationship of 'field of work'. Find the answer from the choices below. Choices: - ergodic theory - mathematician - mathematics - nature - number theory - physics - research
Ans: number theory

Ques: Information: - Anne Danican Philidor ( 11 April 1681 -- 8 October 1728 ) is best remembered today for having founded the Concert Spirituel , an important series of public concerts held in the palace of the Tuileries from 1725 to 1791 . He was also a composer . He ( here Anne is a male name ) came from the extraordinary Philidor family of musicians . - The Concert Spirituel was one of the first public concert series in existence. The concerts began in Paris in 1725 and ended in 1790; later, concerts or series of concerts of the same name occurred in Paris, Vienna, London and elsewhere. The series was founded to provide entertainment during the Easter fortnight and on religious holidays when the other spectacles (the Paris Opera, Comedie-Francaise, and Comedie-Italienne) were closed. The programs featured a mixture of sacred choral works and virtuosic instrumental pieces, and for many years took place in a magnificently-decorated Salle des Cent Suisses (Hall of the Hundred Swiss Guards) in the Tuileries Palace. They started at six oclock in the evening and were primarily attended by well-to-do bourgeois, the lower aristocracy, and foreign visitors. In 1784 the concerts were moved to the stage area of the Salle des Machines (an enormous former opera house in the Tuileries), and in 1790, when the royal family was confined in the Tuileries, they took place in a Paris theater. - Philidor ("Filidor") or Danican Philidor was a family of musicians that served as court musicians to the French kings. The original name of the family was Danican (D'Anican) and was of Scottish origin (Duncan). Philidor was a later addition to the family name, given first to Michel the elder by Louis XIII because his oboe playing reminded the king of an Italian virtuoso oboist named Filidori. Both Michel the younger and Jean played in the Grande Ecurie (literally, the Great Stable; figuratively, the Military Band) in Paris. Later members of the family were known as composers as well. One of them (Francois-Andre Danican Philidor) was a chess master. - Francois-Andre Danican Philidor (September 7, 1726 August 31, 1795), often referred to as Andre Danican Philidor during his lifetime, was a French composer and chess player. He contributed to the early development of the opera comique. He was also regarded as the best chess player of his age; his book "Analyse du jeu des Echecs" was considered a standard chess manual for at least a century, and a well-known chess opening and a checkmate method are both named after him. - Tuileries Palace was a royal and imperial palace in Paris which stood on the right bank of the River Seine. It was the usual Parisian residence of most French monarchs, from Henry IV to Napoleon III, until it was burned by the Paris Commune in 1871. After reading the paragraphs above, we are interested in knowing the entity with which 'anne danican philidor' exhibits the relationship of 'father'. Find the answer from the choices below. Choices: - andre danican philidor - napoleon - opera house
Ans:
andre danican philidor