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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“Rikki Tikki-Tavi” The story of Rikki Tikki-Tavi is expressed (portrayed) in two different ways‚ a film version and a book. The film version of Rikki Tikki-Tavi creates a better understanding of the story. The film version does not only express (depict) the story through words but also creates a visual understanding as well as using sound effects and special effects to adapt the realistic perspective. Both the book and the film used the same plot but spent a different amount of time on the explanation
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JULIA FLORES “ESSAY ABOUT THE STORY OF STUFF” NAME: Julio Cèsar Pèrez Pèrez ID: 2508994 DATE: 06 / 04 / 2011 Story Of Stuff We have to take care of the world that we are live in‚ this is a world whit
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Well his name is Alex Rider. Stormbreaker‚ written by Anthony Horowitz‚ is an adventure fiction and thriller novel targeted towards teenagers. It was published on the 4th of September 2000. Stormbreaker holds the battle between Good and Evil‚ between a young teenager named Alex Rider who is determined on stopping the main antagonist Herod Sayle. Herod Sayle‚ the main antagonist‚ is trying to kill every young school child in Britain because of past bullying experiences. Though Alex Rider‚ the protagonist
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ask the question; “Why do you enjoy a good monster story?” Is to ask why do we enjoy life itself. There are a multitude of reasons; Real life incorporation‚ Excellent characters‚ or perhaps it’s the setting that each and every story takes place‚ the setting that ties the plot‚ characters and history together. These three are for myself what makes a good story in general‚ not just for a monster story. For what makes a good or even excellent story? A shred of truth can go a long ways. In fact with
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written works about mother. They are simple but meaningful and reminded me of my mother. Accordingly‚ I want to share with everyone my story-a long one to tell… When I was a child‚ I always imagined my mother as a serious and frightening woman. She was constantly forcing me to stay at home whereas my friend can freely go out and enjoy their childhood. That’s not fair!!!There was a question that kept haunting my mind “Is she exactly my mother?” .I think that I found the answer after that story. One time
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Improvement recommendations and outcomes – this could include a Continuous Improvement Log and flowchart/s 3. Research and write a report on an organisation that is committed to‚ and has implemented a continuous improvement program OR find out more about your organisation’s continuous improvement efforts. i) Have the plans been a success to date? Why or why not? ii) Describe the systems‚ processes and supporting tools that are in place to help the program have a positive impact
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if he even remembers his teenage years. Do I talk to him? What if he doesn’t remember me? Oh gosh what about Alex... I love Alex to death but I’ve always loved it too... I’ve been lying to Alex all these years. We’ve been married for seven years... I’ve known Alex for 12 years‚ I can’t just tell him I love Derek. He’ll be crushed. Arielle! Stop thinking about divorcing Alex. You love Alex. He is your husband. But... But what if Derek still loves me? I would love to be Mrs. Bassett‚ I love
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Life of Pi – Nice To Eat You; A Story About Ghosts and Vampires ‘Life of Pi’ is a story that is mainly focused on the aspect of survival. Being trapped together with Richard Parker‚ a Royal Bengal tiger‚ Pi’s odds seem to have been pulverized to nothing. Yet as the story progresses‚ Richard Parker begins to give Pi hope and a reason to survive. Pi’s will to survive returns; if he can survive while living together with a Bengal Tiger‚ he can survive anything. Although seeming a huge threat to Pi
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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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