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100年 - 100 淡江大學 轉學考 代數#55909
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題組內容
1. Find the remainder when:
(a) 25
49
is divided by 11
其他申論題
c.In 1998, several airlines proposed “code-sharing” agreements that would allow cooperation on schedules. Under these, American would be combined with U.S. Airways, United would combine with Delta, and Northwest would join with Continental. Calculate the four-firm concentration ratio under the agreement.
#211665
d.Calculate the Herfindahl-Hirschman Index (HHI) before and after the code-sharing agreements. For this calculation, assume that the balance of industry revenues are shared among 8 firms.
#211666
In Japan in 1998 and 1999, prices were falling at 2 percent per year while the short-term interest rate was 0.1 percent per year.a.What was the real interest rate?
#211667
b.“In 1998 and 1999, Japan was caught in a liquidity trap, where the central bank could not lower real interest rates and was therefore unable to stimulate the economy.” Is this statement true or false? Explain.
#211668
(b) 23461 is divided by 43
#211670
2. Show that a group G is abelian if and only if x2= e for any x in G, where e is the identity of G.
#211671
3. Let G be a group such that | G | ＜ 200. Suppose G has subgroups of order 33 and 55, find the order of G..
#211672
【已刪除】4. If H is a subset of a group G，show that H is a subgroup of G if and only if H is nonempty and ab-1 e H whenever a，b H.
#211673
【已刪除】 (a)
#211674
【已刪除】(b)
#211675
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