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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A Woman in Her Prime by Asare Konadu. Heinemann‚ 1967. 107 pages Compared to the brilliance and brashness of so much Nigerian literature‚ the quieter literature of Ghana may seem in danger of being overlooked. A Woman in Her Prime is a good example of what a mistake that would be. Like its heroine‚ A Woman in Her Prime is modest‚ balanced‚ calm‚ and understated‚ but with a charm and quiet beauty that prove captivating. It centers on a domestic drama that can be stated simply: Pokuwaa would
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Question 1 - Silvio Berlusconi has been the Prime Minister of Italy for three times. Berlusconi is the owner of the company Media Set. He also owns an advertising and publishing company and about 50 magazines. His brother is the owner of the Italian Daily‚ one of the most read newspapers in Italy. Next to that he is the owner of the soccer club AC Milan. You can say Berlusconi is all around the country and it is difficult not noticing his influence. The power of Berlusconi
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List of Prime Ministers of India From Wikipedia‚ the free encyclopedia Jump to: navigation‚ search The complete list of Prime Ministers of India includes the persons sworn into the office as Prime Minister of India following the proclamation of the independence of India in 1947. Key: No.: Incumbent No. CM: Council of Ministers Congress: Indian National Congress‚ Indian National Congress (Indira)‚ United Progressive Alliance Bharatiya Janata Party: Bharatiya Janata Party‚ National
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First of all‚ according to Vinod (2008 -2013) books of prime entry are books where transactions are first recorded. These may or may not be part of the double system. These are not accounts; they are simply books that record details of transactions. Books of prime entry are also known as books of original entry / subsidiary book/ daybooks among others. In any organization where company’s buy and sell goods‚ will need to divide the journal into subsidiary books. And they are as follows: Sales
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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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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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different race? I would always consciously try my best and answer them “Malaysian” instead. In 2010‚ our 6th Prime Minister Dato’ Sri Najib Abdul Razak made a new slogan called ‘1Malaysia’. The slogan ‘1Malaysia’ simply means calling for the cabinet‚ government agencies‚ and civil servants to more strongly emphasize ethnic harmony‚ national unity‚ and efficient governance. Ever since our Prime Minister spent RM38 million on the 1Malaysia campaign to emphasize racial unity in this country. The ubiquitous
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Analyzing the speech ‘What Educated Women Can Do’ by Indira Gandhi‚ published in the Selected Speeches and Writings of Indira Gandhi from September 1972 to March 1977 (WordPress.com 2011) stresses on the importance of women’s education and their neglect not only in India but around the whole world. In this speech‚ Gandhi provides many strong stances on women’s education. Gandhi discusses its culture and superstitions and how women in India have been oppressed of proper/formal education. She also
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subjects too. India‚ in 2006‚ I am sorry to say‚ lacks cleanliness and the citizens‚ when in public‚ lack good conduct. Most people‚ largely in rural areas‚ do not know the basics of good social behavior. I do not wish to go deep into this matter‚ for fear of exceeding the given word limit I would say‚ however‚ that this should be changed. Now‚ coming to another aspect that has to be taken care of. (I beg your pardon for changing the topic so suddenly!) The word discrimination has acquired such
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