13. Symmetric groups 13.1 13.2 13.3 Cycles‚ disjoint cycle decompositions Adjacent transpositions Worked examples 1. Cycles‚ disjoint cycle decompositions The symmetric group Sn is the group of bijections of {1‚ . . . ‚ n} to itself‚ also called permutations of n things. A standard notation for the permutation that sends i −→ i is 1 2 3 1 2 3 ... ... n n Under composition of mappings‚ the permutations of {1‚ . . . ‚ n} is a group. The fixed points of a permutation
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Portfolio Management Case 1: Alex Sharpe’s Portfolio Executive Summary As Alex Sharpe’s consultant‚ we recommend a portfolio of 78% S&P 500 and 22% of R.J Reynolds. This portfolio will generate an annual expected return of 8.86% (significantly higher than the index return 6.29%)‚ while the risk increases by only less than 10%. In Qualitative Analysis‚ we find that tobacco industry tends to move with the market less than the toy industry‚ which indicates that R.J Reynolds can diversity the
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While questioning Miss Sutherland‚ Sherlock Homes and Dr. Watson found out the following information. Miss Sutherland was living at home with her mother and Mr. Windibank her stepfather. Her Uncle Ned had died; and as a result of his will‚ she received an income of 100 pounds a year. She generously decided to give it to her parents as long as she lived in their house. She did not want to be a burden to them. Besides‚ she did some typing and earned enough for her humble needs. Her eyesight was poor
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Vishal SachdevApril 19‚ 2013Harnischfeger Corporation 1. Describe clearly the accounting changes Harnischfeger made in 1984 as stated in Note 2 of its financial statements. Harnischfeger made two accounting changes from which one made its net sales increase‚ and the second change made its net income increase. For the net sales increases‚ they included sales from certain foreign subsidiaries which increased their net sales. Also‚ in the past when having sold equipment generated from their supplier
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BAC4674 INTEGRATED CASE STUDY Trimester 3 2014/15 Case Study 4 Case Activity/Questions The Mystery of Disappearing Oil Instruction to Student The student should have basic understanding & knowledge about management‚ internal controls and analysis of the financial statements. The students must critically evaluate and analyse the financial statements and other aspects of a petrol pump business. Case Activity/Questions The case activity is reach enough for a role play approach. Student divided
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1. What observations did the paramedics make? The paramedics observed there were empty wine bottles surrounding the hot tub. Kavita one paramedic experienced the physical hotness of the water temperature of the hot tub by stating “This water seems really hot.” The paramedics also observed that both bodies of the Underhills were on the bottom of the hot tub upon arrival to the scene. The paramedics also observed the Underhills dead on arrival. 2. List the questions raised about this situation
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USE-CASE MODEL: WRITING REQUIREMENTS IN CONTEXT The indispensable first step to getting the things you want out of life: decide what you want. —Ben Stein Objectives • • • • Identify and write use cases. Relate use cases to user goals and elementary business processes. Use the brief‚ casual‚ and fully dressed formats‚ in an essential style. Relate use case work to iterative development. Introduction This chapter is worth studying during a first read of the book because use cases are a widely
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“The way records were sold was completely ridiculous. The covers were brown‚ tan or green paper; they were not in the least bit attractive‚ and lacked any form of sales appeal” – these are the words of Alex Steinweiss‚ the creator of album artwork‚ way back in 1939. Before Steinweiss’ revolutionary creation‚ there was quite simply no such thing as an album cover; vinyl recordings were available to buy in the back of appliance stores‚ where one would enquire for the particular title of a recording
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May 2004 What Is a Case Study and What Is It Good for? JOHN GERRING Boston University T his paper aims to clarify the meaning‚ and explain the utility‚ of the case study method‚ a method often practiced but little understood. A “case study‚” I argue‚ is best defined as an intensive study of a single unit with an aim to generalize across a larger set of units. Case studies rely on the same sort of covariational evidence utilized in non-case study research. Thus‚ the case study method is correctly
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Chapter 2- Alex Rider follows two suspected drug dealers to a barge on the River Thames. Chapter 3- Alex hops into a crane near the barge and lifts the barge out of the water with the crane; the barge collides into a nearby conference center when it’s in the air. Chapter 4- Alex is taken to jail‚ but MI6 bails him out; therefore‚ he has to accept the proposal they give him to go on an undercover mission to a boarding school‚ Point Blanc‚ in the Alps. Chapter 5- As part of the mission‚ Alex has to
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