QUES: Von Neumann's mathematical analysis of the structure of self-replication preceded the discovery of the structure of DNA. In a short list of facts about his life he submitted to the National Academy of Sciences, he stated "The part of my work I consider most essential is that on quantum mechanics, which developed in Göttingen in 1926, and subsequently in Berlin in 1927–1929. Also, my work on various forms of operator theory, Berlin 1930 and Princeton 1935–1939; on the ergodic theorem, Princeton, 1931–1932."
What work did Von Nemann do in Berlin in 1930 and Princeton 1935 - 39?

ANS: operator theory

QUES: Today, the system of Arabic and Islamic education has grown and further integrated with Kerala government administration. In 2005, an estimated 6,000 Muslim Arabic teachers taught in Kerala government schools, with over 500,000 Muslim students. State-appointed committees, not private mosques or religious scholars outside the government, determine the curriculum and accreditation of new schools and colleges. Primary education in Arabic and Islamic studies is available to Kerala Muslims almost entirely in after-school madrasa programs - sharply unlike full-time madaris common in north India, which may replace formal schooling. Arabic colleges (over eleven of which exist within the state-run University of Calicut and the Kannur University) provide B.A. and Masters' level degrees. At all levels, instruction is co-educational, with many women instructors and professors. Islamic education boards are independently run by the following organizations, accredited by the Kerala state government: Samastha Kerala Islamic Education Board, Kerala Nadvathul Mujahideen, Jamaat-e-Islami Hind, and Jamiat Ulema-e-Hind.
 How many non-Muslim students are there in Kerala?

ANS: unanswerable

QUES: One disadvantage of the phalanx was that it was only effective when fighting in large, open spaces, which left the Romans at a disadvantage when fighting in the hilly terrain of central Italian peninsula. In the 4th century BC, the Romans abandoned the phalanx in favour of the more flexible manipular formation. This change is sometimes attributed to Marcus Furius Camillus and placed shortly after the Gallic invasion of 390 BC; it is more likely, however, that they were copied from Rome's Samnite enemies to the south, possibly as a result of Samnite victories during the Second Samnite War (326 to 304 BC).
What fighting formation would eventually replace the phalanx in battle?

ANS: manipular formation

QUES: The Bronx has also become home to a peculiar poetic tribute, in the form of the Heinrich Heine Memorial, better known as the Lorelei Fountain from one of Heine's best-known works (1838). After Heine's German birthplace of Düsseldorf had rejected, allegedly for anti-Semitic motives, a centennial monument to the radical German-Jewish poet (1797–1856), his incensed German-American admirers, including Carl Schurz, started a movement to place one instead in Midtown Manhattan, at Fifth Avenue and 59th Street. However, this intention was thwarted by a combination of ethnic antagonism, aesthetic controversy and political struggles over the institutional control of public art.
When was the Lorelei Fountain written about?

ANS:
1838