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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Proof Media Assignment (Topic#1) Alice Wang The directorial decision to include Catherine’s eulogy and the post funeral party scene in the film effectively enhanced character development. Catherine’s eulogy was significant in displaying Catherine’s behaviour in front of crowds‚ and her rash decision to make a speech at her father’s funeral. Catherine is shown to make emotional and rash decisions on the spot‚ not thinking of consequence. Catherine’s shocking speech is made in a calm tone of
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on God. That is why it would make sense to start by examining God‚ and proof He exists. There are many theories to prove God’s existence‚ one of the most famous by St. Thomas Aquinas and his five proofs. These proofs are one of the most simple to understand‚ and yet at the same time very deep and true. They can help bring us closer to our faith and help many to find faith. The first of the five proofs is often called “The Proof of Motion.” This theory helps in proving God’s existence by using science
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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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On Monday October 30th‚2017 at 12:58pm‚ best selling author Robert Rotenberg‚ Central Technical school guest reads the first chapter of his book ‘’stray bullets’’.Rotenberg had donated copies of his book to the CTS Law Program students. This gesture contributed to the students law curriculum. Before reading the book he enlightened the excited students a bit about his background life. ‘’It took me a long time to become a writer‚ i’ve been a lawyer for 27 years’’‚ Rotenberg said. He talks to the students
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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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senses of logic of the audience by making the measures seen as logical. When says ‚ “Let the world know how bloody his hands are. Let the world know the hypocrisy that’s practiced over here. Let it be the ballot or the bullet. Let him know that it must be the ballot or the bullet.” He repeats the word “Let” to create a rhythm in his
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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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to fight for their rights. His speech‚ The Ballot or the Bullet‚ is directed at African Americans and encourages them to stand up for their rights and vote. He goes on to state that if this is not enough they may have to turn to violence. To be one of the most proficient civil rights activist of the early 60’s‚ Malcolm X and his speeches were very persuasive but particularly one speech was highly recognized‚ that is the Ballot or the Bullet speech. This speech was given after Dr. Martin Luther King’s
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Tanner Bjorklund Ap English Language & Composition Mrs. Evans 17 January 2014 The Ballot or the Bullet- Malcolm X Synthesis Essay If there was any one man who demonstrated his fierce struggle‚ anger and beliefs of African Americans during the 1960’s‚ it was that of Malcolm X. During this era unemployment and poverty among blacks was exceptionally high and under these conditions Malcolm stood place for change. Malcolm‚ unlike many African Americans at the time‚ stood up for himself to prove
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