Problem 28E

Use the Chinese remainder theorem to show that an integer a, with 0 5 ≤ a<m = m1, m2,….. mn, where the positive integers m1, m2,….. mn are pairwise relatively prime, can be represented uniquely by the n-tuple (a mod m1, a mod m2,…… a mod mn).

Lecture 10 Manchus and Imperialism: The Qing Dynasty 1644-1900 The Ming Dynasty (1368-1644) o A dynasty following the collapse of the mongol-led yuan dynasty, and followed by the Manchu-led Qing Dynasty o The last dynasty of han chinese Signficant Achievements o Ming saw the contstruciton of a vast navy and a standing army of one million troops o The tributary fleet under the muslim eunuch admiral Zheng He in the 15th century far surpassed all others in size o Enormous contruction projects, including the restoration of the Grand Canal and the Great Wall and the establishment of the Forbidden City in Beijing during the first quarter of the 15ht century