Section 4.1 Divisibility and Modular Arithmetic 87 CHAPTER 4 Number Theory and Cryptography SECTION 4.1 Divisibility and Modular Arithmetic 2. a) 1 | a since a = 1 · a. b) a | 0 since 0 = a · 0. 4. Suppose a | b ‚ so that b = at for some t ‚ and b | c‚ so that c = bs for some s. Then substituting the first equation into the second‚ we obtain c = (at)s = a(ts). This means that a | c‚ as desired. 6. Under the hypotheses‚ we have c = as and d = bt for some s and t . Multiplying
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American Academy of Political and Social Science Death in Prime Time: Notes on the Symbolic Functions of Dying in the Mass Media Author(s): George Gerbner Reviewed work(s): Source: Annals of the American Academy of Political and Social Science‚ Vol. 447‚ The Social Meaning of Death (Jan.‚ 1980)‚ pp. 64-70 Published by: Sage Publications‚ Inc. in association with the American Academy of Political and Social Science Stable URL: http://www.jstor.org/stable/1042304 . Accessed: 02/01/2012 20:34 Your
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Romance of the Three Kingdoms Original title：三国演义（San Guo Yan Yi） Country： China Language：Chinese Author: Guanzhong Luo(14th century) Genre: History Novel Publication Date: 14th century Pages: 5760 Brief: This book is one of “Four Great Classical Novels” of Chinese literature; it is the first river novel writes by chapters in China .It is a Chinese historical novel based upon events in the turbulent years near the end of the Han Dynasty and the Three Kingdoms era of China‚ starting in 169
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imeContent Page Sub prime crisis http://banking.about.com/od/mortgages/a/mortgagecrisis.htm http://www.lewrockwell.com/rozeff/rozeff203.html http://www.slideshare.net/satanic/subprime-crisis-presentation-785636 http://en.wikipedia.org/wiki/Causes_of_the_2007%E2%80%932012_global_financial_crisis http://www.investopedia.com/articles/economics/09/lehman-brothers-collapse.asp http://ezinearticles.com/?Merrill-Lynch-and-the-Subprime-Mortgage-Market&id=1600761 http://www.youtube.com/watch
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Mr. Romulo Bernas‚ a staff assistant in Prime Shipping Inc.‚ who earns a salary enough to support his family. He is directly reporting to the manager but his position in the company and its description is yet to be determined. He works with Mr. Jose Narciso who was a former member of the NPA and now works as a bodyguard for a politician who is connected to the Bureau of Customs (BOC). Mr. Bernas has been given several credits for his work. As such‚ he was assigned to provide some order and
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one of the most flourishing industries in the world; thus‚ almost every country relies on the industry. The income that a country gains from the industry is almost half of its gross national product. However‚ for developed countries‚ such as the United Kingdom‚ promoting hospitality and tourism is not a problem since they are already known and well-established worldwide. On the other hand‚ for developing countries where they mostly rely on the industry for income‚ such as the Philippines‚ upholding
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published his paper “On The Number of Primes Less Than a Given Magnitude”‚ in which he defined a complex variable function which is now called the Riemann Zeta Function(RZF). The function is defined as: ζ(s) = Σ 1 ns (1.1) Where n ranges over the positive integers from 1 to infinity and where s is a complex number. To get an understanding of the importance of this function‚ one needs to know some history about it. Dating back to the times of Euclid‚ the prime numbers have been studied in great deal
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Legal and Historical Context This essay will consider key issues that relate to mental health problems in the practice of social work with adults in the United Kingdom. This will be demonstrated by firstly examining the legal and historical context of the mental health and the Mental Health Act (MHA). Secondly‚ an understanding of theories suitable for individual assessment and intervention process will be critically analysed. Finally‚ issues of diversity‚ collaboration and conflict encountered
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How far was the growth in support for Fascism in the years 1919-22 responsible for Mussolini’s appointment as Prime Minister? In October 1922‚ King Victor Emmanuel III appointed Benito Mussolini as the 13th Prime Minister of the Italian state. Between 1919 and 1922‚ the Fascists had begun to appeal to a larger audience‚ such as the industrialists‚ the army and the middle classes‚ but in 1922 only held 7% of the vote. This means that although support was an important factor in Mussolini’s appointment
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On the night of Tuesday September 19th‚ 2006 the Royal Thai Army staged a coup d’état against the elected government of Prime Minister Thaksin Shinawatra that eventually led to the over throw and replacement of Shinawatra and the Thai Rak Thai (TRT) party. There are many reasons as to why the 2006 Thai coup d’état was staged against Prime Minister Thaksin Shinawatra and his caretaker government and a lot of it had to do with the political crisis of 2005 and early 2006‚ the planning/timing of the
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