Context and question: Strasbourg is situated on the eastern border of France with Germany. This border is formed by the River Rhine, which also forms the eastern border of the modern city, facing across the river to the German town Kehl. The historic core of Strasbourg however lies on the Grande Île in the River Ill, which here flows parallel to, and roughly 4 kilometres (2.5 mi) from, the Rhine. The natural courses of the two rivers eventually join some distance downstream of Strasbourg, although several artificial waterways now connect them within the city.
Strasbourg is situated on what border of France and Germany?
Answer: eastern
Context and question: In the groups Z/nZ introduced above, the element 1 is primitive, so these groups are cyclic. Indeed, each element is expressible as a sum all of whose terms are 1. Any cyclic group with n elements is isomorphic to this group. A second example for cyclic groups is the group of n-th complex roots of unity, given by complex numbers z satisfying zn = 1. These numbers can be visualized as the vertices on a regular n-gon, as shown in blue at the right for n = 6. The group operation is multiplication of complex numbers. In the picture, multiplying with z corresponds to a counter-clockwise rotation by 60°. Using some field theory, the group Fp× can be shown to be cyclic: for example, if p = 5, 3 is a generator since 31 = 3, 32 = 9 ≡ 4, 33 ≡ 2, and 34 ≡ 1.
What example of cyclic group satisfies the express of zn = 1?
Answer: the group of n-th complex roots of unity
Context and question: Following the ceasefire agreement that suspended hostilities (but not officially ended) in the 1991 Gulf War, the United States and its allies instituted and began patrolling Iraqi no-fly zones, to protect Iraq's Kurdish and Shi'a Arab population—both of which suffered attacks from the Hussein regime before and after the Gulf War—in Iraq's northern and southern regions, respectively. U.S. forces continued in combat zone deployments through November 1995 and launched Operation Desert Fox against Iraq in 1998 after it failed to meet U.S. demands of "unconditional cooperation" in weapons inspections.
When did the first Gulf War begin?
Answer:
1991