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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Champion Services‚ Inc. - Software Development Proposal Eric Franklin POS/370 Programming Concepts Charlie Neuman August 21‚ 2006 Champion Services‚ Inc.‚ like all other companies‚ desires to be the best. When it comes to delivering high quality programming and service to the people of the northwest United States‚ Champion Services‚ Inc. feels that there is no one better. Champion Services‚ Inc. currently provides a basic Internet portal for its customers. This portal provides basic
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Electric Car has a history but is there a future in the UK or will there be a better option? The invention of the first Electric Car was in 1830 but was not perfected until the creation of rechargeable batteries in 1859. By 1912 50 companies were producing 34‚000 electric cars. Once the development of the electric starting motor occurred and the price of fuel was cheap then the electric cars industry vanished. The oil crisis in the 1970’s caused some re-emergence of electric cars but the high
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environmental conditions? Herman Miller produced its first office furniture in 1942 by a man Gilbert Rhode‚ he died 2 years after the design was made and De Pree had to find a new designer then he hired George Nelson as Herman’s first designer. Herman miller is a 1.3 billion dollar manufacturer that produces office furniture. It is one of only four organizations and the only non-high technology that was selected for Fortune magazines “100 Best Companies to Work For.” Herman Miller has a rich legacy‚ they
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performance to the fund manager’s conscious strategy of staying fully invested at all times rather than attempting to time the extent of market investments. Another popular explanation for the fund’s performance was the unusual skill of Miller‚ the funds’ portfolio manager. Miller followed a contrarian strategy‚ with several key elements. The main element was that he bought low-price‚ high-intrinsic value stocks. Miller’s approach was also research intensive and highly concentrated. Nearly 50% of assets were
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owning and using an electric car results in having both advantages and also disadvantages. The first noticeable advantage is of course the no gas emission from electric cars. Electric cars use a battery that is charged in most homes and businesses. The battery is charged in a charging station and usually lasts for approximately a maximum of 100 miles. ” As of 2013‚ networks of charging stations are being built in major developed countries. While many of charging station networks can handle multiple
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ACID) AS ALTERNATIVE BATTERY Battery or more precisely‚ a cell – is a device in which the reaction between two substances can be made to occur in such a way that some of the chemical energy is converted to useful electricity. Since its invention‚ the battery has become the most common power source for many household and industrial applications. There are many ways to construct a battery‚ as well as ways to control its generated output. This Home-made Vinegar Battery is a battery that is constructed
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responsible. I was only 16 when I started so I never had to put gas in the car or my mom’s SUV. When I turned 18 that’s when I started working at jimmy johns and driving around a lot more‚ this is when I noticed all the money that I wasn’t making and everything I made went to the car. I would spend forty dollars on gas and make fifty dollars on tips and only go home with ten bucks. I was getting sick of all the money I had to put in the car but at the same time I was fine with it because I always had a place
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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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Electric cars vs the gas oh line cars In the next ten years what the average American drives will be very different than today. Electric cars may phase out gasoline (Gasoline is also known as petrol) in the next couple of decade. Electric cars produce no tailpipe emissions and are much cheaper to fill up than the more common gasoline vehicles. Switching to electric cars will have more benefits than drawbacks in comparison to other fuels such as petrol and diesel. In order to switch to electric
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