complex‚ and some of them were a review from previous classes. During this course‚ there were several major mathematical concepts that were taught and reviewed. In chapter 9‚ the topic was probability; the topics that were covered in this chapter were Theorem and Tree Diagrams/Geometry Probabilities. In chapter 10‚ the main topic was Data Analysis‚ and the topics that were discussed in this chapter were. Different ways to Displaying data such as line graphs‚ scatter plots‚ bar graphs‚ line graphs‚ or circle
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It is a simple and direct way of getting the resultant force but is limited in precision. Component method can obtain the resultant force by getting two directions at right angles to each other and getting their summations using the Pythagorean Theorem. In getting the equilibrant of the given forces‚ a force table can be used (see Fig. 1.1). The equilibrant of a set of forces is the single force that must be obtained with the set of forces to maintain in the system in equilibrium. Figure 1
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A mathematical proof does relate to our ordinary dictionary meaning of “truth”‚ but it has many more elements to it. The main idea behind the proof is the idea of logic. Math is a science and there is nothing fictional in the logic used to solve problems. Proofs are a way of using that logic to create a path through the maze often presented by mathematical concepts. Because math is so concrete and isn’t influenced by outside factors we can rely on some basic rules and concepts to help navigate the
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Introduction The gummy bear project was to provide us with a chance to practice the statistics experimental design‚ through measuring how far the gummy bears fly from a catapult in centimeters. This catapult contains 3 different stages from which to launch gummy bears at different angles: front‚ middle‚ and back‚ as well as two different positions upon the catapult at either the front or back. Then‚ based upon each configuration‚ we launched the gummy bears 5 times‚ for a total of 2x3x5‚ 30 treatments
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(mathematics and astronomy) and Anaximander (philosophy‚ geometry). Pythagoras Theorem Years ago‚ a man named Pythagoras found an amazing fact about triangles: If the triangle had a right angle (90°) and you made a square on each of the three sides‚ then the biggest square had the exact same area as the other two squares put together! It is called "Pythagoras’ Theorem" and can be written in one short equation: a2 + b2 = c2 Note: 1. c is the longest side of the triangle
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and use them in place of the standard resistor values throughout the remainder of the lab. Thevenin’s Theorem states that we can replace entire network by an equivalent circuit that contains only an independent voltage source in series with an impedance (resistor) such that the current-voltage relationship at the load is unchanged. Norton’s Thereom is identical to Thevenin’s Theorem except that the equivalent circuit is an independent current source in parallel with an impedance (resistor)
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Research Paper: Pythagoras Today‚ the Pythagorean Theorem is a mathematical idea studied in classrooms all over the world. It was developed hundreds of years ago by Pythagoras‚ a Greek man‚ who was not only a mathematician‚ but a philosopher‚ a scientist‚ and a religious leader as well. In his lifetime‚ Pythagoras discovered and developed many new ways of thinking‚ and his teachings attracted followers from all over the ancient world. Pythagoras was a brilliant thinker who made many revolutionary
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Pythagorean Triples To begin you must understand the Pythagoras theorem is an equation of a2 + b2 = c2. This simply means 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. Let a‚ b‚ and c be the three sides of a right angled triangle. To define‚ a right angled triangle is a triangle in which any one of the angles is equal to 90 degrees. The longest side of the right angled triangle
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;- "All men by nature‚ desire to know."l tllroughtout history the need to know has been a prime source of I governing mens actions. This need has founded civilizations‚ it has started wars‚ and it has led man to his ultimate control of his environment 1 I shall examine the causes and developments of mathematics. Starting with early Egypt and Babylon‚ then on to classical Greece‚ and finally the 17th century through modern times; I will trace the need and development of mathematics. "Priority
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classifies data. There are many algorithms which are used in classification i.e. ID3‚ C4.5‚ Apriori‚ FP-growth‚ Back propagation Neural Network (BNN) and Naïve Bayes (NB). Bayes data mining technique are a fundamentally important technique. Bayes theorem finds the event occurring probability given the probability of another already occurred event. Bayes Rule is applied for calculating the posterior from the prior and the likelihood‚ due to the later two is generally easier to be generated from a probability
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