IB Mathematics SL I IA Lab: Infinite Summation Kristen Rodríguez Mr. Zivkovich May 2010 1 When one considers the concept of infinite summation‚ there are many observable patterns between the exponent on the numerator and both the result and the sum of the series. This investigation aims to explore this concept of infinite summation and finally arrive at a general statement to determine the sum of the infinite sequence tn. The analysis will also discuss the scope and limitations of the general
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The Dark Knight Rises (2012) Cast: Christian Bale‚ Tom Hardy‚ Anne Hathaway‚ and Joseph Gordon-Levitt Director: Christopher Nolan Synopsis: Christian Bale stars as both the classic caped crusader and his billionaire alter-ego‚ Bruce Wayne. In this third installment of Christopher Nolan’s Batman films‚ Bruce Wayne no longer feels that the City of Gotham needs a hero and goes on a secluded hiatus. However‚ when a new villain‚ Bane (Tom Hardy)‚ threatens Gotham City‚ Wayne dons his cape and
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Infinite Facts (part 1) 1. Team Name: (Korean: 인피니트) (English: INFINITE) (Meaning: Well-rounded; have infinite possibilities) 2. Debut Date: 2010.06.09 (Around 1 year) 3. Physical: Age: Average - 21 ; Sunggyu - 23 ; Woohyun - 21 ; Hoya - 21 ; Dongwoo - 22 ; Sungyeol - 21 ; L - 20 ; Sungjong 4. Height: Average - 177.58 ; Sunggyu - 178 ; Woohyun - 176 ; Hoya - 178 ; Dongwoo - 171 ; Sungyeol - 183 ; L - 180 ; Sungjong - 177 5. Weight: Average - 58.86 ; Sunggyu - 62 ; Woohyun
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Developing a skill is not easy and may require several different methods to be tested before an ideal technique is found. I had taken many ineffective approaches‚ from singing lessons with Angela Knight‚ who had me sing Disney songs instead of working on core fundamentals‚ to joining a choir at my mom’s church‚ with a handful of kids yelling at the top of their lungs rather than producing beautiful melodies. I struggled to find a technique that would
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After reading W.A. Neilson’s translation of Sir Gawain and The Green Knight‚ one could find allegorical connections with the characters. Each of the main characters represents represents three main concepts that one could compare to the life in the twenty-first century. Sir Gawain‚ a honored knight‚ can be compared to everyday day people. The Green Knight can be seen as a Godly figure. Lastly the fair lady seen as a sin. When comparing the main characters of the poem‚ one could find allergy connects
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What is the significance of being a hero? In Frank Miller’s The Dark Knight Returns‚ I would like to address the theme of rebirth and its relevance to Batman. Batman’s rebirth can be seen through‚ his physical changes‚ superhero power struggle‚ and his death. Batman’s rebirth is witnessed by his initial physical changes. For example‚ Alfred points out‚ “Master Bruce. Whatever happened to your moustache” (20‚ 7).This physical change is what hints at a different stage or “rebirth” in Bruce Wayne
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Renaissance. He also did some work with water colors throughout his career and painted many landscapes‚ this gave him credit as being one of the first European painters to do landscapes. My focus for this final will be mainly on his engraving of the “Knight‚ Death‚ and Devil” that was done on copper and then used to make many printings of. The overall design of the piece is very ornate with many lines and curves used to detail the subject in the engraving. There are very many finely cut details‚ and
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THEO 1000 4/17/2012 Faith VS. Reason I believe that by definition faith and reason contradict each other‚ causing them to be incompatible. A person who relies on reason to interpret reality is using logic‚ probability‚ and induction to arrive at conclusions about the world. The use of faith‚ by definition‚ is to go against these principles. It is to believe in or arrive at a conclusion that is not the most reasonable option‚ thus why it is an act of faith. Faith is not simply an alternative
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The main conflicts in the world of The Dark Knight Returns revolve around escalating crime in Gotham city and forces of the authority attempting to control it. The authority should be a moral force and represent justice. The figures that represent the authority should be selfless and work only to promote the integrity of law and order. Authority proves to be contradictory in Miller’s novel as the authoritative figures express qualities of vigilantism and overall moral ambiguity. The first example
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white knight of Gotham‚ district attorney Harvey Dent. A pawn in the Joker’s game‚ he loses his fiancé and half his face in an orchestrated explosion. Dent‚ the once heroic emblem of justice‚ is perverted by a demented individual to his ultimate physical and ethical demise‚ culminating in a homicidal rampage and eventual death. As Dent himself articulates‚ “[y]ou either die a hero‚ or live long enough to see yourself become the villain” (Nolan). Harvey Dent in Christopher Nolan’s The Dark Knight is
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