Question: Finite symmetry groups such as the Mathieu groups are used in coding theory, which is in turn applied in error correction of transmitted data, and in CD players. Another application is differential Galois theory, which characterizes functions having antiderivatives of a prescribed form, giving group-theoretic criteria for when solutions of certain differential equations are well-behaved.u["] Geometric properties that remain stable under group actions are investigated in (geometric) invariant theory.
Try to answer this question if possible: What theory is error correction applied to?
Answer: unanswerable
Question: Another point of interest is the Old Town. In the centre are the large Marktkirche (Church St. Georgii et Jacobi, preaching venue of the bishop of the Lutheran Landeskirche Hannovers) and the Old Town Hall. Nearby are the Leibniz House, the Nolte House, and the Beguine Tower. A very nice quarter of the Old Town is the Kreuz-Church-Quarter around the Kreuz Church with many nice little lanes. Nearby is the old royal sports hall, now called the Ballhof theatre. On the edge of the Old Town are the Market Hall, the Leine Palace, and the ruin of the Aegidien Church which is now a monument to the victims of war and violence. Through the Marstall Gate you arrive at the bank of the river Leine, where the world-famous Nanas of Niki de Saint-Phalle are located. They are part of the Mile of Sculptures, which starts from Trammplatz, leads along the river bank, crosses Konigsworther Square, and ends at the entrance of the Georgengarten. Near the Old Town is the district of Calenberger Neustadt where the Catholic Basilica Minor of St. Clemens, the Reformed Church and the Lutheran Neustadter Hof- und Stadtkirche St. Johannis are located.
Try to answer this question if possible: Where are the large Martkirche located?
Answer: Old Town
Question: Prior to the second world war, birth control was prohibited in many countries, and in the United States even the discussion of contraceptive methods sometimes led to prosecution under Comstock laws. The history of the development of oral contraceptives is thus closely tied to the birth control movement and the efforts of activists Margaret Sanger, Mary Dennett, and Emma Goldman. Based on fundamental research performed by Gregory Pincus and synthetic methods for progesterone developed by Carl Djerassi at Syntex and by Frank Colton at G.D. Searle & Co., the first oral contraceptive, Enovid, was developed by E.D. Searle and Co. and approved by the FDA in 1960. The original formulation incorporated vastly excessive doses of hormones, and caused severe side effects. Nonetheless, by 1962, 1.2 million American women were on the pill, and by 1965 the number had increased to 6.5 million. The availability of a convenient form of temporary contraceptive led to dramatic changes in social mores including expanding the range of lifestyle options available to women, reducing the reliance of women on men for contraceptive practice, encouraging the delay of marriage, and increasing pre-marital co-habitation.
Try to answer this question if possible: Discussing contraception sometimes led to prosecution under what laws?
Answer: Comstock laws
Question: Through the influence of the Eusebian faction at Constantinople, an Arian bishop, George of Cappadocia, was now appointed to rule the see of Alexandria. Athanasius, after remaining some days in the neighbourhood of the city, finally withdrew into the desert of Upper Egypt, where he remained for a period of six years, living the life of the monks, devoting himself to the composition of a group of writings; "Apology to Constantius", the "Apology for his Flight", the "Letter to the Monks", and the "History of the Arians".
Try to answer this question if possible: What is one thing he wrote during this time?
Answer:
Apology to Constantius