CONCLUSION Notice that where the solution of an ODE contains arbitrary constants‚ the solution to a PDE contains arbitrary functions. In the same spirit‚ while an ODE of order m has m linearly independent solutions‚ a PDE has infinitely many (there are arbitrary functions in the solution). These are consequences of the fact that a function of two variables contains immensely more (a whole dimension worth) of information than a function of only one variable. The method of characteristics is a
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The amount of active worldwide Facebook users as of June 2012 is 955 million‚ accounting for approximately a seventh of the total population on Earth. With such a mass population of the world checked into Facebook‚ it sparks question as to what kind of effect this has. There is no doubt that Facebook itself is a fantastically engineered social media‚ connecting just about one billion of people in the world with the simple action of logging into a website. But with the rapid growth of this social
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Humans have created urban areas right since the ancient times. Urbanization‚ as we know it now‚ began with the Industrial Revolution in the 18th century‚ and has only been on the rise ever since. Statistics tell us that half of the world’s people already live in urban areas‚ with that number set to expand in the years to come. Our cities have been luring people for various reasons‚ the basic one being the hope of a better life. People are drawn to the cities for the comforts they offer‚ the opportunities
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I have to admit that bilingualism has several advantages. Nonetheless‚ tackling this issue‚ the lingual conditions in which children are raised to be able to speak two languages equally well should be also taken into consideration. Many linguists underline that while introducing the second language to learner‚ his/her exposure to a given linguistic system is crucial. Thusly‚ parents striving for teaching their children a secod language/a non-native language often rely on commercial language materials
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Flatbed trailers are the best way to transport loads that are impossible or impractical to transport in a regular enclosed dry van. Examples of flatbed freight include: large equipment‚ building materials and large machinery. Flatbeds allow for greater dimensional flexibility‚ which makes them the best and the safest choice for these types of large or heavy loads. We can handle all of your “less than truckload” (LTL) shipments and of course full truckload shipments. Flatbed trailers may be utilized
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The Structure-Agency Debate provides an understanding to the attitudes towards police work shown by Captain Louis de Koster as well as his actions in the extract from Altbeker’s (2005) The Dirty Work of Democracy. This short essay will depict how I understood structure and agency to be taking place in de Koster’s context. Structure is the one extreme position in the Structure-Agency Debate whereby it is believed that a person is shaped by different elements of society such as social institutions
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A presidential debate is an honest and collaborative effort to explore issues however‚ it is a competition. Although each candidate is working towards the main goal‚ a better nation‚ they are not working together to achieve it. Furthermore‚ each candidate is seeking the truth‚ yet is trying to win the election. There are a handful of occurrences in the 2008 McCain and Obama debate where each candidate points out the past mistakes of the opposing man‚ instead of focusing on how to repair the fault
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and Douglas Debates The Lincoln-Douglas debates of 1858 were a series of seven debates between Abraham Lincoln‚ the republican candidate‚ and the incumbent Senator Stephen Douglas‚ a Democratic Party candidate‚ for a seat in the United States Senate. During the time period of the debates‚ Senators were elected by state legislators; therefore Lincoln and Douglas were competing for their respective parties to win control of the Illinois Legislature. The main issue for the debates was overwhelmingly
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Technology is growing at such a rapid pace. Computers are getting better and better. If a person is not computer literate‚ there is no way that he or she will survive the technological advances of the future. The author of Hamlet’s Blackberry‚ William Powers‚ believes technology is ruining physical togetherness creating human contact to be insignificant. He says‚ “The rushed‚ careless quality of screen communication is of a piece with the disconnecting of physical togetherness. When everyone is endlessly
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Technology is in everyones life these days if they want it to be or not. There are good and bad reasons for having so much technology in the world we live in today. Robert Samuels in his article “Breaking Down Borders: How Technology the Private and Public Realms”‚ “We adapt to our new technologies and to the new spaces these technologies create”(321). Gary Wolf also says in his article “The Data-Driven Life” “Millions of us track ourselves all the time”(327) later in the article he mentions‚ “Self
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