Vector Analysis Definition A vector in n dimension is any set of n-components that transforms in the same manner as a displacement when you change coordinates Displacement is the model for the behavior of all vectors Roughly speaking: A vector is a quantity with both direction as well as magnitude. On the contrary‚ a scalar has no direction and remains unchanged when one changes the coordinates. Notation: Bold face A‚ in handwriting A . The magnitude of the vector is denoted by A A
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MAI’s proposal directly gives Steve the conditional probabilities he needs (e.g.‚ probability of a successful venture given a favorable survey). Although the information from Iverstine and Kinard (I&K) is different‚ we can easily use Bayes’ theorem to on I&K information to compute the revised probabilities (see file P8-Blake.XLS‚ sheet Posterior ). As such‚ does not need any additionalinformation from I&K.(2) Steve’s problem involves three decisions. First‚ should he contract the services
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shorter it is makes a difference in the tune of the note. In astronomy‚ he taught that the earth was a sphere‚ and in math he compared the difference between composite and prime numbers‚ discovered irrational numbers‚ and proved the Pythagorean Theorem. This stated that when the two shorter sides in a right triangle were squared and then added‚ it would equal the square of the longest side or hypotenuse. This was known earlier‚ but he was the first one to really prove it was true. He soon moved
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Pythagoras Pythagoras must have been one of the world’s greatest men. However‚ he wrote nothing and it is unknown how much of the doctrine of Pythagoras is due to the founder of society and how much is later development. Sometimes he is represented as a man of science‚ a mathematician‚ and even as a preacher of mystical doctrines. None of these traditional views‚ however‚ should be rejected‚ for he contributed his genius in each field. Pythagoras lived from about 569 BC to about 475 BC. His father
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Harvard Business Review January 1994 The Fall and Rise of Strategic Planning by Henry Mintzberg When strategic planning arrived on the scene in the mid-‐1960s‚ corporate leaders embraced it as “the one best way” to devise and implement strategies that would enhance the competitiveness of each business
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Pythagorean Triples Tammie Strohl MAT 126 David Gualco November 9‚ 2009 Pythagorean Triples Pythagorean Theorem states that the sum of the areas of the two squares formed along the two small sides of a right angled triangle equals the area of the square formed along the longest.  If a‚ b‚ and c are positive integers‚ they are together called Pythagorean Triples. The smallest such Pythagorean Triple is 3‚ 4 and 5. It can be seen that 32 + 42 = 52 (9+16=25). Here are some examples:
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indicates that to find the treasure‚ one must get to Castle Rock‚ walk x paces to the north‚ and then walk 2x + 4 paces to the east. If they share their information‚ then they can find x and save a lot of digging. What is x? The Pythagorean Theorem states to find the missing side of a right triangle you can square to know lengths and add the two together. The result will be the distance of the missing length squared. A^2+b^2=C^2 We know that Ahmed has a map with a distance to the treasure
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the monopolist should: a) Increase price so that price equals the maximum the consumer is willing to pay b) Decrease price and sell more c) Set price equal to the minimum average cost d) Increase price and sell less Question 2 The Coase theorem suggests that private markets may not be able to solve the problem of externalities‚ a) Unless the government becomes involved in the process b) When the number of parties is large and the bargaining costs are high c) If
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zero. To get started I decided the vertical distance‚ and then I calculated the time‚ using the time I figured out the initial velocity‚ and then I used this to figure out the distance the cone would go in the X direction. Then using the Pythagorean Theorem‚ I figured the total distance. The distance I got from my calculations which I will expand on is 1.414408737. | | Problem: “With the information given in the reading‚ figure out‚ how far the ice cream shooter will go.” Hypothesis: “If I figure
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There are many Greek influences that still affect us today such as Democracy. The Greeks created the world’s first democracy. Athens started out as a monarchy and then advanced to and oligarchy until it finally reached a democracy. The government consisted of over 6‚000 assembly members all of whom were adult male citizens. The assembly voted on issues throughout Athens‚ and passed laws. The required number of votes to pass a law was simply the majority but in order to banish or exile someone 6‚000
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