Question: Frederick saw Saxony and Polish west Prussia as potential fields for expansion but could not expect French support if he started an aggressive war for them. If he joined the French against the British in the hope of annexing Hanover, he might fall victim to an Austro-Russian attack. The hereditary elector of Saxony, Augustus III, was also elective King of Poland as Augustus III, but the two territories were physically separated by Brandenburg and Silesia. Neither state could pose as a great power. Saxony was merely a buffer between Prussia and Austrian Bohemia, whereas Poland, despite its union with the ancient lands of Lithuania, was prey to pro-French and pro-Russian factions. A Prussian scheme for compensating Frederick Augustus with Bohemia in exchange for Saxony obviously presupposed further spoliation of Austria.
Try to answer this question if possible: Who was Poland's ancient ally?
Answer: Poland, despite its union with the ancient lands of Lithuania,
Question: Colquhoun's utilitarian approach to the problem – using a cost-benefit argument to obtain support from businesses standing to benefit – allowed him to achieve what Henry and John Fielding failed for their Bow Street detectives. Unlike the stipendiary system at Bow Street, the river police were full-time, salaried officers prohibited from taking private fees. His other contribution was the concept of preventive policing; his police were to act as a highly visible deterrent to crime by their permanent presence on the Thames. Colquhoun's innovations were a critical development leading up to Robert Peel's "new" police three decades later.
Try to answer this question if possible: Who fired the Bow Street detectives?
Answer: unanswerable
Question: The National Historical Publications and Records Commission (NHPRC)—the agency's grant-making arm—awards funds to state and local governments, public and private archives, colleges and universities, and other nonprofit organizations to preserve and publish historical records. Since 1964, the NHPRC has awarded some 4,500 grants.
Try to answer this question if possible: How many colleges and universities award grants to students each year?
Answer: unanswerable
Question: Groups are also applied in many other mathematical areas. Mathematical objects are often examined by associating groups to them and studying the properties of the corresponding groups. For example, Henri Poincaré founded what is now called algebraic topology by introducing the fundamental group. By means of this connection, topological properties such as proximity and continuity translate into properties of groups.i[›] For example, elements of the fundamental group are represented by loops. The second image at the right shows some loops in a plane minus a point. The blue loop is considered null-homotopic (and thus irrelevant), because it can be continuously shrunk to a point. The presence of the hole prevents the orange loop from being shrunk to a point. The fundamental group of the plane with a point deleted turns out to be infinite cyclic, generated by the orange loop (or any other loop winding once around the hole). This way, the fundamental group detects the hole.
Try to answer this question if possible: Who founded algebraic topology?
Answer:
Henri Poincaré