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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This quote uses metaphor to further the understanding of Antonia’s character and her portrayal in the novel. Jim Burden in this passage is contemptibly looking back on the awe that Antonia once made him feel throughout their childhood. This serves to exasperate Antonia’s representation as a loving mother figure. We see how she takes care of her children and how her loving nature has manifested itself into sons who‚ “stood tall and straight”. She truly is a source of compassion which people draw
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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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In this poem‚ Kipling addresses the Europeans going in and taking over these colonies‚ and ultimately defends their doing. In the title‚ a White Man’s Burden refers the the duty that Kipling believes the Europeans have to go into various non-european nations and take control and civilize them to make them more like westerners. It implies that they themselves are not sophisticated or smart enough to function
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FREE LEGAL AID INTRODUCTION India is a modern state that has accepted the concept of ’welfare state ’. Hence it has to work for the welfare of the general public. It is the function of the State to establish a just social order by enacting just laws and by providing equal opportunity to all to grow. Every Government is constituted to respond to the needs and aspirations of the people and to remove social inequalities among its citizens. This promotes social justice among poor and the downtrodden
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A child’s education starts from his or her mother at home. In this context what Gandhiji said was true. For he said‚ “If you educate a man‚ you educate ah individual‚ but if you educate a woman‚ you educate an entire family” In India‚ most people are not aware of women’s rights and thus they still think that girls are inferior to boys. The birth of a girl is not desired. It goes to the extreme of taking away the life of female fetus which we are not supposed to do. The blame of bearing a
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A synopsis of the content/subject matter? Jocelyn Moorhouse’s 1991 film ‘Proof’ is an emotive story about Martin‚ a paranoid blind man‚ made so because he was convinced that his mother‚ when he was just a child‚ lied to him about the sights she described to him. Now Martin as an adult is living a solitary life and has developed an ill temperament with the people around him‚ as the word trust is still haunting him. Martin is also a photographer‚ he takes photographs of the many different things
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Case Analysis Within this assignment‚ I’m going to breakdown the manifest and latent in the article “Disability a ‘burden’ to Australian community‚ immigration rules.” In this article‚ Bhajan Kaur is in a predicament that many other intellectual disabled people are faced with. A migrant is a person who leaves their homeland to move to a foreign country. (Martin and Nakayama‚ 2013). Within this migration issue‚ Kaur’s circumstances are unfortunate and something no migrant should have to go through
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‘Homework is a burden our kids don’t need.’ Language analysis The new proposal of a beneficial school curriculum made by the UK Government‚ including a change in school hours and the number of school homework distributed to students‚ have sparked much debate in the UK as it has in Australia. In her opinion piece published in the Herald Sun on February 17th this year‚ Rita Panahi actively discusses the issue regarding the corrupt educational purpose of homework for school children
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