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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Comparative Assignment Report We chose to compare Vincent Van Gogh’s ‘Starry Night’ painting to Alex Ruiz’s ‘Starry Night’ digital painting‚ and then to compare Van Gogh’s ‘Starry Night’ painting‚ to Van Gogh’s ‘Starry Night Over the Rhone’ painting. We agreed on Vincent Van Gogh because we were inspired by his ability to create such breathtaking pieces of art which managed to make him an artistic icon‚ despite the numerous mental illnesses that he suffered from throughout his life. Vincent
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Alexander Electronics Ltd. Alexander Electronics Ltd. (AEL) is a retailer of home electronics‚ software‚ music‚ and video games in a medium-sized Canadian city. The store has been in business for many years and has grown along with the community. Recently‚ AEL’s owner decided to sell the store because he felt he was too old for the rigours of operating it. Ryan Evans has expressed interest in buying AEL and he and the current owner have been negotiating for several months. Mr. Evans has worked
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Alex Libby‚ a teen activist‚ has been bullied from sixth to eighth grade. He has been regularly punched and kicked almost every day‚ on the bus and sometimes in school. “I stand for the silent‚” is a popular quote associated with Alex Libby himself.Even though Alex was bullied all through middle school‚ he rose up and decided to join a movie called “Bully” and another movie “The bullying effect.” Today‚ Alex is still an intern at The Bullying Effect in NYC. As of today‚ he is still in high school
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Alex Sander is a highly motivated product manager for the Toiletries Division of Landon Care Products‚ Inc.‚ a cosmetics products company headquartered in Connecticut. Alex was brought to the company by owner Sam Glass with the expectation of shaking up the product team and creating waves through his relentless work ethic. The young manager‚ undaunted by any learning challenge‚ has successfully lead his team through the rebranding of two national skin care products in just over a years’ time. A recent
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Alex Rider: Stormbreaker 1) I liked this book. It was filled with action and suspense. But I didn’t like how it was far-fetched. A 14 year old that knew all different types of karate‚ languages‚ moves‚ and almost taught like a spy from birth. But other than that‚ I really liked the book. I like how everything was detailed. 2) A. The main characters are Alex Rider‚ Ian Rider (dead‚ but an important name)‚ Yassen Gregorovich‚ and Herold Sayle. B. The setting of this book is Present day in London
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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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A Day in life of Alex Sander: Diyora Hitesh V Regd No. PA1110 Abstract Alex Sander is a new product manager at Landan care products inc. which has been acquired by a European Beauty company. Alex Sander is very talented and has rebranded two national products in one year. She knows very well when to launch product and she is smart enough to do things correctly. Sander is getting her
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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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Facilitate Continuous Improvement BSBMGT516C 1. Select an area for improvement in your workplace and create a Continuous Improvement Plan for that area. Include in your plan – using the templates provide: A. A brief outline of the issue you and/or your team have identified that needs improving and explain how it was identified‚ B. The that will need to be involved in the improvement process‚ C. How communication to the work team will occur‚ D. Coaching and Mentoring processes
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