Justifications for Geometry Proofs – Ch 3 Properties of Equality (=): Addition: a = b → a + c = b + c Subtraction: a = b → a – c = b - c Division: a = b → a / c = b / c Multiplication: a = b → a * b = b * c Distributive: a ( b + c ) = a * b + a * c Substitution: a = b → a can be substituted for b in an equation Properties of Congruence and Equality ( and =): Reflexive: ab = ab or Symmetric: a = b → b = a or ∠A ∠B → ∠B ∠A Transitive: a = b and b = c → a = c or ∠A
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a normal distribution with mean m and variance v‚ then X has mean exp( m + v /2 ) Proof: The density function of Y= ln X Therefore the density function of X is given by Using the change of variable x = exp(y)‚ dx = exp(y) dy‚ We have = Note that the integral inside is just the density function of a normal random variable with mean (m-v) and variance v. By definition‚ the integral evaluates to be 1. Proof of Black Scholes Formula Theorem 2: Assume the stock price following the following
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Ask Oscar Rodriguez about the dot-com burst and he may grin at you as if to say‚ “What burst?” Rodriguez‚ a 38- years-old entrepreneur‚ owns an Internet business that sells loose diamond to various buyers. Business is booming for Rodriguez‚ In 2004‚ he has sales of $2.06 million-a 140 percent increase from 2003. Rodriguez’s database of almost 60000 diamonds is one of the largest and is valued‚ according to Rodriguez‚ at over $350 million. Needless to say‚ Oscar Rodriguez is optimistic about
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Rabbit-Proof Fence is a film directed by Phillip Noyce. It is about three mixed-race Aboriginal girls who ran away from the Moore River Native Settlement to return to their mothers. The girls walk for nine weeks and 1200 miles of the rabbit-proof fence in Australia to return to Jigalong‚ their hometown while being tracked down by a hunter and several others under Mr Neville’s orders. The film uses several effective production techniques such as a variety of camera shots to fulfill different purposes
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Rabbit Proof Fence Essay One of the themes shown in ‘ Rabbit Proof Fence’ is imprisonment. This theme is shown through camera shots and setting. Some example of this are included in the scenes where they are locked in cage on the train‚ when Riggs captures them and fights for them from their mother‚ and the orderly prison-like manner they are made to live in at the Moore River Settlement. We are also figuratively shown the idea of imprisonment with the Rabbit Proof Fence symbolizing the theme
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stated goal of achieving Mexican American empowerment)” was caused. Favianna Rodriguez‚ an artist‚ who stood up and fought for what she believed was an important step for her.A variety of Rodrigues conflicts‚ actions‚ personal struggles‚ and historical events all contribute to his changing of the world’s outlook on the art work as well as the lives of minorities all around the world. Although people may see Rodriguez as just an artist‚ she symbolizes more than just a painter but rather‚ she serves
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Rabbit Proof Fence (2002) “Three little girls. Snatched from their mothers’ arms. Spirited 1‚500 miles away. Denied their very identity. Forced to adapt to a strange new world. They will attempt the impossible. A daring escape. A run from the authorities. An epic journey across an unforgiving landscape that will test their very will to survive. Their only resources‚ tenacity‚ determination‚ ingenuity and each other. Their one hope‚ find the rabbit-proof fence that might just guide them home. A
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RABBIT PROOF FENCE INTRODUCTION 50‚ 000 half- cast aboriginal children were taken away from their families in the 20th century. Can you imagine being taken away from everything and everyone you ever loved or cared about to never see them in your life again? The film “The Rabbit Proof Fence” directed by Philip Noyce set in Western Australia highlights unfairness and the vulnerability of aboriginal people. The stolen generation is a devastating story. It is honestly hard to believe that
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Q1. ’Rabbit Proof Fence’ highlights how experiences change our point of view. Discuss. Can you imagine being an Aborigine? Living in the outback? Hunting for food? What would your point of view be if you were brought up that way? Or maybe you were a white person. What would your point of view be then? What would you think of the Aborigines and their way of living and the way they were brought up compared to you? All the different experiences people have such as how we are brought up‚ our beliefs
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Rabbit Proof Fence An Australian film Rabbit Proof Fence directed by Philip Noyce is reliable to an historian studying the Protection policies of the Australian Government during the 1930’s in that it tells a true story about three Aboriginal children who were taken away from their families because they were half-castes. However‚ it is not reliable in that it only tells us about the effect of Protection policy in Western Australia‚ not the whole country. This film outlines the experiences
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