The Birch and Swinnerton-Dyer Conjecture by A. Wiles A polynomial relation f (x‚ y) = 0 in two variables defines a curve C0 . If the coefficients of the polynomial are rational numbers then one can ask for solutions of the equation f (x‚ y) = 0 with x‚ y ∈ Q‚ in other words for rational points on the curve. The set of all such points is denoted C0 (Q). If we consider a non-singular projective model C of the curve then topologically C is classified by its genus‚ and we call this the genus of
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The Hobbit by J.R.R Tolkien is said to be one of the greatest children’s novels of all time. The novel‚ due to its use of such characters as goblins‚ elves‚ trolls‚ giants‚ and others is in tradition‚ a fairy tale. The tale centers on a small hobbit by the name of Bilbo Baggins. It follows the journey of a band of dwarves‚ a wizard named Gandalf‚ and their robber‚ Bilbo on their way to retrieving treasure that had long been taken away from them. The hobbit traveled all over Middle-Earth‚ beginning
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In the novel‚ “The Hobbit”‚ there are many different characters with different traits. The author “Tolkien” expresses the characters with a different traits that are considered positive and negative. Traits that these characters give off consider the whole character as positive or negative. In the journey that everyone is on‚ a question that is asked is “what matters most?” Physical strength or intelligence‚ meaning‚ what will come through in the end? Certain characters have a positive attitude
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under the role? Or to listen to something other than voices that’ll help you find treasure? Well J.R.R. Tolkien’s “The Hobbit”‚ represents a heroic theme while Paulo Coelho’s “The Alchemist”‚ portrays the theme of listening to the centriole of Person Legends. However‚ both novels share the similar theme of perseverance. In the Hobbit‚ Tolkien portrays the main character‚ the hobbit Bilbo Baggins‚ as a hero as he faces difficult obstacles throughout his extravagant journey. For example‚ Tolkien writes
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In the book The Hobbit By:JRR Tolkien the are many different characters including trolls and even dwarfs. At this point in the story The Hobbit many things have taken place. The character traits that tolkien considers positive also‚ The character traits that are viewed with a negative light‚and also the most important thing in the story at this point having intelligence. Some of the characters traits that tolkien might consider positive are bilbo’s tookish attitude toward going on the adventure
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The Hobbit’s Choice Restaurant Survey Differences Analysis Prepared For Jeff Dean November 20‚ 2013 According to the independent sample t –test that was used to analyze whether the Hobbit’s Choice restaurant is more appealing to women than it is to men (Vice versa)‚ the results show that the mean of men who answered to the question “How likely would it be for
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In J.R.R Tolkien’s book‚ the Hobbit‚ Bilbo Baggins goes on a long treacherous journey to retrieve the dwarves treasure from the dragon‚ Smaug. Bilbo is terrified to go on this adventure but is soon persuaded to go. This story is an epic that states all of the steps of a “hero’s journey”. With this being said‚ the three steps of a “hero’s journey” are the departure‚ initiation‚ and the return. Through Bilbo’s misadventures‚ he goes through all of these steps. Bilbo and all of his companions learn
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the Master was not sorry at all to let them go. They were expensive to keep‚ and their arrival had turned things into a long holiday in which business was a standstill.” (Tolkien 185) Although the men keep alive old traditions in a new era‚ this quote symbolizes how the majority of things have changed in this world. This excerpt situates the dwarves in the present time frame where power has shifted to evil forces‚ how the dwarves lost control of their mountain city‚ and also how old legendary maps
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Baggins had an adventure‚ and found himself doing and saying things altogether unexpected. He may have lost the neighbours’ respect‚ but he gained -- well‚ you will see whether he gained anything in the end” (Tolkien 2). The Hobbit by J.R.R Tolkien presents an unlikely hero‚ a hobbit named Bilbo Baggins. Gandalf‚ a wizard and old family friend‚ forces Bilbo out of his comfort zone onto a journey to recover the dwarves home and gold from the evil dragon‚ Smaug. Bilbo fulfills the archetypal hero’s journey
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READING WORKSHOP RESPONSE TOPICS Please keep this in your notebook. You will use it for all your responses. Answer different questions for every book. You should not answer the same question twice‚ even for a different novel. 1. Look for a list of other books by this author in the front of the book. Do the titles of the books seem to have anything in common? Are they structurally similar? Does this indicate anything to you about the author or the books? 2. Check the oldest copyright date
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