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Quotient groups and subgroups together form a way of describing every group by its presentation: any group is the quotient of the free group over the generators of the group, quotiented by the subgroup of relations. The dihedral group D4, for example, can be generated by two elements r and f (for example, r = r1, the right rotation and f = fv the vertical (or any other) reflection), which means that every symmetry of the square is a finite composition of these two symmetries or their inverses. Together with the relations
What of a square is an infinite composition?
A: unanswerable

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Many Sanskrit dramas also indicate that the language coexisted with Prakrits, spoken by multilingual speakers with a more extensive education. Sanskrit speakers were almost always multilingual. In the medieval era, Sanskrit continued to be spoken and written, particularly by learned Brahmins for scholarly communication. This was a thin layer of Indian society, but covered a wide geography. Centres like Varanasi, Paithan, Pune and Kanchipuram had a strong presence of teaching and debating institutions, and high classical Sanskrit was maintained until British times.
What type of speakers spoke Sanskrit?
A: multilingual

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Some historians argue that Napoleon III also sought war, particularly for the diplomatic defeat in 1866 in leveraging any benefits from the Austro-Prussian War, and he believed he would win a conflict with Prussia. They also argue that he wanted a war to resolve growing domestic political problems. Other historians, notably French historian Pierre Milza, dispute this. On 8 May 1870, shortly before the war, French voters had overwhelmingly supported Napoleon III's program in a national plebiscite, with 7,358,000 votes yes against 1,582,000 votes no, an increase of support of two million votes since the legislative elections in 1869. According to Milza, the Emperor had no need for a war to increase his popularity.
Some historians counter that Napolean III sought what?
A: war

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Robert of Ketton's 1143 translation of the Quran for Peter the Venerable, Lex Mahumet pseudoprophete, was the first into a Western language (Latin). Alexander Ross offered the first English version in 1649, from the French translation of L'Alcoran de Mahomet (1647) by Andre du Ryer. In 1734, George Sale produced the first scholarly translation of the Quran into English; another was produced by Richard Bell in 1937, and yet another by Arthur John Arberry in 1955. All these translators were non-Muslims. There have been numerous translations by Muslims. The Ahmadiyya Muslim Community has published translations of the Quran in 50 different languages besides a five-volume English commentary and an English translation of the Quran.
Which organization offers versions of the Quran in 60 languages?
A:
unanswerable