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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The ideas of globalization being the main cause of the spread of Global diseases is valid‚ however in these day and age it is mostly inevitable‚ we live in a time when people wants to travel to new places‚ where countries economies and food production depends on each other geographic location and their abilities to produce and trade such goods. In time where medicine and its benefits can also travel worldwide the negatives impacts that these global trading causes‚ does not outweigh the benefits.
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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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When the Internet was first introduced to the public‚ it marked an extraordinary change in every aspect of our lives. Today‚ with the explosive increase of sites on the Internet‚ technology has taken another dramatic rise. In the midst of this technological explosion‚ we might stop and ask some key questions. Is the Internet good or bad for education? Are students learning more or less? And what‚ exactly‚ are they learning? Although‚ using the Internet to research instead of encyclopaedias has become
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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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Advantage and Disadvantage of Technology Introduction Technology is the making‚ modification‚ usage‚ and knowledge of tools‚ machines‚ techniques‚ crafts‚ systems in order to solve a problem‚ improve a preexisting solution to a problem‚ achieve a goal or perform a specific function. Technology is‚ by definition‚ the practical application of knowledge. It is the systematic treatment of art and science. In the last century many people did things by hand but nowadays more and more tasks have
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What Makes Art Art I believe Art is something that can not truly be defined. Art might be thought of as just a simple picture to hang on the wall. However‚ Art can be many different things and mean many different things to one. My personal definition of Art would be anything created by someone. Art can include a huge variety of different things. Art can be paintings‚ sculptures‚ photographs‚ drawings‚ illustrations‚ architecture‚ furniture‚ music‚ poetry. I also feel that choreography could be
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movements‚ Pop Art and Art Nouveau. This was in direct response to the mass media being produced in popular culture. Pop Art emerged partly from absorption of ideas put forward in the work of various artist such as Roy Lichtenstein and partly from a spontaneous response to the commercial imagery that was beginning to swamp the visual world in that country. Art Nouveau originally formed as a response to mass media under a group of artists in New York who wanted to counter pop culture with their art‚ music
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