Math/Stat 394‚ Winter 2011 F.W. Scholz Central Limit Theorems and Proofs The following gives a self-contained treatment of the central limit theorem (CLT). It is based on Lindeberg’s (1922) method. To state the CLT which we shall prove‚ we introduce the following notation. We assume that Xn1 ‚ . . . ‚ Xnn are independent random variables with means 0 and 2 2 respective variances σn1 ‚ . . . ‚ σnn with 2 2 2 σn1 + . . . + σnn = τn > 0 for all n. 2 Denote the sum Xn1 + . . . + Xnn by Sn and observe
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Sir Mohan Lal looked at himself in the mirror of a first class waiting room at the railway station. The mirror was obviously made in India. The red oxide at its back had come off at several places and long lines of translucent glass cut across its surface. Sir Mohan smiled at the mirror with an air of pity and patronage. ’You are so very much like everything else in this country‚ inefficient‚ dirty‚ indifferent‚’ he murmured. The mirror smiled back at Sir Mohan. ’You are a bit of all right
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Leadership Assignment 5 Sarah Kamal 09-4714 ------------------------------------------------- 26th November 2012 Question 1: Was the research program a group or a team? If a team‚ what kind of a team was it? At first‚ before the assignment of a formal leader‚ it was a self-directed team on a whole of groups of people. It was a team because it was not inhibited by organizational boundaries. It was specifically formulated for a purpose and vision that was to develop a technique for large-scale
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Reflections For the past few weeks‚ we had been having English classes with Madam Diana. She had been a great teacher. Alright‚ maybe great is not the right adjectives to describe her. Madam Diana is a fabulous teacher! English classes always bore me‚ but not with Madam Diana. Different approaches are used by her in teaching us‚ leaving a big impact on us. As a part of learning process‚ we are also assigned with weekly reflections which requires us to reflect on whatever we have learnt throughout
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poses as a direct threat to women’s safety and self-esteem in various ways. The most commonly overlooked form of sexism is the “Friend-zone”‚ a manifestation of misogynistic ideology created by vapid petulant men who refuse to take “no” for an answer‚ and is used as an excuse for aggressive male dominance as well as sexual and domestic violence. According to the friend
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their own home without having to be directly face-to-face with their victim. A new era of bullying has been created known as “cyber bullying”. Credibility Material: Personally‚ I myself have not been a victim to “cyber bullying”‚ but I have had friends fall victim to it. Even though it sounds petty‚ it really weighs heavy on the victims. Central Idea: Today I want to share what I have learned about the subject of “cyber bullying Preview: “Cyber Bullying” is not ok. Transition:
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In the movie True Colors it was a documentary about two men one white and one black who were doing an experiment in St Louis Missouri in 1991. The two moved into a motel in St Louis and were getting prepared to do the experiment. The experiment was to see how people react to a white person and a black person in different situations. The first situation was at the shopping mall where the two went into a store and as soon has John walked in he got immediate attention from the store manager about if
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Buddies are the most significant in friends. They hold strong bonds because they are usually always there for you. Besides‚ buddies family can be classified as friends. Some family members are closer than others just like friends. Also relative friends can be other friendships that are easy to achieve. There also friends at workplace‚ school that can gain temporary or permanent friendship. Winik states in the essay that “Like School Friends‚ Work Friends share certain memories which acquire a
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Conclusion: Category 1: Momentum was found that after the collision was less than before the collision by 10%. This was not what has been expected‚ so the difference was fairly significant. This happened because of friction‚ when the two pucks collided‚ they have lost a bit of their momentum‚ so the momentum after the collision differed. Kinetic energy differed more than what was expected‚ it was significantly less after the collision‚ the difference before and after the collision was 63.7%‚
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