to take the following characteristic equation: (a0xk+ a1xk-1 +…+ ak )(x-b)d+1 = 0‚ where d is the degree of polynomial p(n) • Once this equation is obtained‚ proceed as in the homogeneous case. Anaysis of Algorihms‚ Fall 2012 CEng 315 4 Recurrences (cont.) Example: The number of movements of a ring required in the Towers of Hanoi problem is given by the following recurrence relation: tn = 2tn-1 + 1‚ n 1‚ subject to t0 = 0. The recurrence can be written tn - 2tn-1
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Madison Montanus Mrs. Loud English IV 22 January 2014 The Great Gatsby: Chapter 4 and 5 Paragraph 1‚ analyze Gatsby’s "big request" in Chapter 4 and how it turns out in Chapter 5. Why does Gatsby arrange tea at Nick’s‚ and how does he act before‚ during‚ and after Daisy arrives? Paragraph 1: In The Great Gatsby‚ The request that Gatsby make of Nick through Jordon is to get him hooked up with Daisy again. They had broken up when the war was going on and he regretted it. Nick has tea with
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Chapter 4 Alexander the Great‚ king of Macedonia‚ was undeniably one of the most influential leaders in history. Arguably‚ he is considered to be the first true super hero of Western Civilizations. He ruled with fear and conquered through strength. He controlled his military effortlessly and established a strong economy that aided to his ability to conquer the majority of the known civilization. However does this really qualify him to be considered a great leader? Is “Alexander the Great” truly
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In chapter 4‚ Nick explained the trip he and Gatsby took for New York. In the car‚ Gatsby tells his past to Nick. Gatsby said that he is from the Middle-West‚ but that makes Nick doubt later because Gatsby also said he is from San Francisco. He talked about some important events in his life; for example‚ the fact that he graduated from oxford‚ and that he received some awards in World War I. When Gatsby and Nick entered New York‚ they went to a lunch where Nick met Meyer. Nick thinks that Meyer
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How does Fitzgerald tell the story in Chapter 4 Fitzgerald opens the chapter with more rumours around the infamous Mr Gatsby that we still know little about‚ such as ’he once killed a man’‚ we met him briefly in the previous chapter but still find him mysterious‚ as even Jordan ‚who claimed to know him didn’t believe he was’ an oxford man’. Nicks own perception of the character is not fixed as he juxtaposes between flattery and resentment. Nick goes on to name and describe all the characters he
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The Jazz Age was depicted as an era of freedom‚ revolution‚ fantasy‚ and mostly‚ corruption. The inhabitants of America during the time were jubilant over the victories of World War I and very much enjoyed the wealth brought on by the spoils of war. Many were busy as they tried to build big businesses to monopolize the flow of money‚ and legalities did not matter as long as the people got what they wanted. The people sought to use the new-gained wealth to make their fantasy ideals to become a reality
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chapters 1 2 3 4 Chapter four opens with Nick attending another of Gatsby’s parties. Nick uses this as a starting point and begins recounting some notes he claims to have taken‚ listing some of the more notable people he encountered that summer. His point is to prove that Gatsby’s party attract the most notable people of the time. He also describes one man‚ Klipspringer‚ who never seems to leaves Gatsby’s parties and has come to be known as the "boarder‚" which suggests he is living in the
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This file contains the exercises‚ hints‚ and solutions for Chapter 5 of the book ”Introduction to the Design and Analysis of Algorithms‚” 2nd edition‚ by A. Levitin. The problems that might be challenging for at least some students are marked by ◃; those that might be difficult for a majority of students are marked by . Exercises 5.1 1. Ferrying soldiers A detachment of n soldiers must cross a wide and deep river with no bridge in sight. They notice two 12-year-old boys playing in a rowboat by the
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1. In The World is Flat‚ what does Thomas Friedman mean when he says the world is becoming flat? "The global competitive playing field was being leveled. The world was being flattened." From this‚ we can see that a "flat" world is one in which the "playing field" on which companies compete has become level. It is one in which companies from various countries can compete with one another on an equal basis. Friedman says that what has really driven this is what he calls "Globalization 3.0." This
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THE THREE ELEMENTARY SORTING ALGORITHMS Bubble Sort Bubble Sort is probably one of the oldest‚ easiest‚ straight-forward‚ and inefficient sorting algorithms. It is the algorithm introduced as a sorting routine in most introductory courses on Algorithms. Bubble Sort works by comparing each element of the list with the element next to it and swapping them if required. With each pass‚ the largest of the list is "bubbled" to the end of the list whereas the smaller values sink to the bottom.
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