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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course of a week during October 2008. The banks in Iceland collapsed under the weight of its debts after a huge growth in the banking industry. Iceland ’s Prime Minister at the time Geir Haarde is facing criminal charges of negligence for failing to prevent the financial crisis. In this article by the Associated Press‚ Iceland ’s now ex-Prime Minister Geir Haarde is refusing to pled guilty to the charges. Mr. Haarde says that the collapse that left many people unemployed could not have been predicted
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Sociology Essay Some theorists think that cultural deprivation is the reason why working class children fail and middle class children succeed. To succeed in education you will need cultural equipment (language‚ self-discipline and reasoning skills) something that the working class children lack. They lack this equipment because their parents cannot socialise properly with their children‚ so these children grow up culturally deprived leading to their under-achievement at school. Whereas middle
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hit a white man with a bottle‚ and Zach was taken to jail along with him (p. 179). The author informs us how racism was much worse back then. Whites were superior‚ and treated with more respect. The Secret Life of Bees has more than just one theme. The first is racism. The author demonstrates Lily struggling with the fact that colored people aren’t very different from whites. Her first thoughts about them were
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Jason Brown Jean Piaget Paper Educational Psychology Jean Piaget (1896 - 1980) Jean Piaget was born in 1896 in the French-speaking Swiss city of Neuchatel to an “agnostic medievalist” and a religious mother with “socialist leanings”. He became a professional in mollusk classification and was published in specialized journals. After a doctoral thesis on the taxonomy of Alpine mollusks‚ in 1918‚ and studies in psychology and philosophy in Zurich and Paris‚ he joined the Jean-Jacques Rousseau
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ACCG330 Strategic Management Accounting Session 1 2014 Week 1 Introduction and Course Overview Introduction to Strategic Management Accounting Reading: Hopper‚ Northcott & Scapens (2007) Topic 1- Introduction to Strategic Management Accounting ACCG330 Readings: Topic 1 Overview • The role of strategic management in implementing business strategy • The role of accounting information and management accountants in strategic management • Traditional management accounting versus strategic
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The Prime Minister is the most important and powerful executive of the state. He can be called the ruler-of the state. He is the head of the Council of Ministers and all the powers of the President are actually exercised by the ministers. He can rule the country in a way which he thinks the best. He is the architect of the fate of state. Appointment The Prime Minister is appointed by the President but while doing so the President is not having a free hand. Only that person can be appointed to the
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Gordon Ramsay‚ a well-known chef for many reasons. The nation either love him or loathe him. Gordon Ramsay is a very famous chef he is known for his foods to be made to perfection. He has helped and opened many restaurants in the UK and the USA. When Ramsay isn’t cooking he is well known for his foul mouth on TV shows. Many years ago chefs were stereotypical people e.g. Delia Smith she is a kind‚ caring‚ hard-working housewife. This is the same with Nigella Lawson she is known as the “kitchen goddess
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Now known as one of the trailblazers of developmental psychology‚ Jean Piaget initially worked in a wide range of fields. Early in his career Piaget studied the human biological processes. These processes intrigued Piaget so much that he began to study the realm of human knowledge. From this study he was determined to uncover the secrets of cognitive growth in humans. Jean Piaget ’s research on the growth of the human mind eventually lead to the formation of the cognitive development theory which
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Teaching Assistant: STLIS CACHE Level 3 Award Assignment 1 Top of Form Question 1 (Words: 200) Communication and professional relationships with children‚ young people and adults Explain why effective communication is important in developing positive relationships with: Children Young people Adults Communication means passing information from one person to another. It can be an interchange of opinions‚ thoughts‚ or information via speech‚ signs or writing between two or more people. When
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