------------------------------------------------- Prime number A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime‚ as only 1 and 5 divide it‚ whereas 6 is composite‚ since it has the divisors 2 and 3 in addition to 1 and 6. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater
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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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Egypt‚ in fact‚ struggled against the British colonization from 1888 to 1954. The play shows how contemporary Egyptians enjoy their liberation but bear psychological conflict inside them resulting from the long- term colonization. the characters reverse morality and consider chaos a virtue instead of vice. Magic in the play is incarnated in the inexplicable mental infection that catches up with the visitors who come to the village. It is grotesque to see the three visitors— Young Man‚ Man with
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It is in the Name of Optimus Prime When some people think of a hero‚ what comes to mind is Optimus Prime. In the film Transformers‚ Prime is all about power and leadership. Although faced with overwhelming forces of evil from the Decepticons‚ Optimus Prime surpasses the expectations of his enemies and displays hero‚ warrior‚ and chief character archetypes in protecting the planet earth from absolute destruction. The character archetype of a hero is generally the one who embarks on a journey
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If I had to imagine my life as a homeless dog or cat my typical day would be waking up hopeless by just waking up all over again with that same feeling of all my pain‚ being lonely‚ scared‚ cold‚ or maybe thirsty and hungry also wandering around and look for attention .This would also depend on whether I live in a busy city or countryside because as a cat for example living in the busy city I would probably have an awful‚ hunger-filled day because without water and food I could cause a
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One thing that I have tried that was new was softball. I started playing softball 7 years ago. I really liked playing softball because it is really fun. And it always gave me something to do on the weekends‚ it was either tournaments or practice. When I was playing I always felt like giving up. When we would always learn something new and it was hard for me I always felt like giving up. When we went for pitching machine‚ to a girl pitching it to us it was hard because it was a lot faster that the
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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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leaves her job at the Professor’s house‚ she and Root immerse themselves in the world of math. The Professor’s favorite concept‚ prime numbers‚ seems to impact the Housekeeper the most. She takes her “cue from the Professor” (113) and makes a habit of carrying a pencil and notebook around so that she can quickly do calculations to figure out if any number she sees is prime. While cleaning at another family’s home‚ she can’t help but to explore the numbers in every place‚ including the serial number
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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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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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