A Derivation of an Upper Bound for the Number of Configurations of an n×n×n×n Rubik ’s Cube By David Smith 1. Introduction C4(n) is a formula for an upper bound of the number of distinguishable configurations of an n×n×n×n Rubik ’s Cube‚ which will be derived in this paper. It will be assumed that the reader is familiar with a 4-dimensional Rubik ’s Cube. Online‚ one can find the free computer program Magic Cube 4D‚ developed by Melinda Green‚ Don Hatch‚ and Jay Berkenbilt‚ which is a completely
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or gets‚ there will be consequences. One would agree with this sentiment. Two works of literature that exemplify this quote are Animal Farm by George Orwell and A Tale of Two Cities by Charles Dickens. Animal Farm by George Orwell shows that “we pay a price for everything we get or take in this world.” This work of literature is set on a farm called Manor Farm. One night‚ the animals revolt against‚ Mr. Jones‚ the farmer. Napoleon‚ the antagonist‚ takes power. When he takes power‚ everything goes
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These classics like Animal Farm and A Tale of Two Cities display trends and themes that readers centuries later can still identify with. These accounts serve as a time capsule of the past. The themes displayed in these so-called ’timeless’ books keep readers interested and engaged‚ still applying those themes to their own lives‚ relationships‚ and decisions. Two examples of these novels are Animal Farm and A Tale of Two Cities. The novels A Tale of Two Cities and Animal Farm illustrate many still relevant
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BURWELL V. HOBBY LOBBY‚ INC. 134 S. Ct 2751 (US 2014) SUPREME COURT OF UNITED STATES Facts: Hobby Lobby is a family owned arts and crafts store that runs on Christian principles. The companies statement of purpose is “honoring the Lord in all [they] do by operating the company in a manner consistent with Biblical principles.” The family does not believe in the use of contraception but under the Patient Protection and Affordable Care Act (ACA)‚ the company is required to offer a minimum coverage
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Mead Professor McCormick Sociology 2 December 2012 District 9 Though this may seem like any other stereotypical extra-terrestrial movie‚ District 9 is unique in that it creates a scenario showing human discrimination towards alien begins; something that is an obvious metaphor for all racial discrimination. District 9 shows a world where the battle for previously eliminated racial equality resurfaces. It is no coincidence that District 9 is set in South Africa‚ where apartheid‚ discrimination
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Lake District National Park is located in the North West of England‚ located specifically in Cumbria. It starts from Caldbeck to Lindale‚ Calbeck is in the north and Lindale is in the South and from Ravenglass which is situated in the East which is Shap. It is one of the fourteen national Parks in the UK. Lake District National Park has 101 sites of Special Scientific interest and 6 national nature reserves which also give it its beauty. There are around 400 villages where the population of over
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a big difference in inter-city school systems and rural school systems. The reason that I say that is because there are a lot of different issues that arise in each type of school. In the city there are a lot more gang related activities where as there may not be as much of a problem in rural school systems. Also I believe that the teachers teach and treat students differently depending on the environment that they are teaching in. There may also be problems with school funding and other issues that
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Generation Y: They’ve arrived at work with a new attitude By Stephanie Armour‚ USA TODAY They’re young‚ smart‚ brash. They may wear flip-flops to the office or listen to iPods at their desk. They want to work‚ but they don’t want work to be their life. Jennifer Lewis‚ 22‚ finds it awkward that older employees report expenses to her. By Eileen Blass‚ USA TODAY This is Generation Y‚ a force of as many as 70 million‚ and the first wave is just now embarking on their careers — taking their
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always expected things to go my way and to receive everything that I wanted‚ instead of working hard towards my goal myself. Looking back‚ I was only doing what every typical child in our generation was doing. Our generation is considered the Generation Y‚ The Millennial‚ Generation Next‚ or Generation me. We are the generation of people born during the 1980s and early 1990s. Our generation is growing and increasing in size every single day. Our generation’s population size has reached the point where
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History of maple syrup: Maple syrup comes from the sugar maple tree‚ maple trees can be found all over the world. But only in the North Eastern part of North America has the right climate to harvest the sap that makes maple syrup. Which countries produce and process maple syrup?: Canada currently leads in producing maple syrup‚ USA shortly follows after. Maple syrup is mainly produced in two provinces‚ Quebec and Ontario. How is maple syrup marketed‚ packaged and labelled?: Maple syrup can
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