decimal place-value system first appears. Several centuries later‚ the Muslim mathematician Abu Rayhan Biruni described the Aryabhatiya as a "mix of common pebbles and costly crystals".[95] In the 7th century‚ Brahmagupta identified the Brahmagupta theorem‚ Brahmagupta’s identity and Brahmagupta’s formula‚ and for tboth a placeholder and decimal digit‚ and explained the Hindu-Arabic numeral system.[96] It was from a translation of this Indian text on mathematics (c. 770) that Islamic mathematicians
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2000. “Electrical Engineering for all Engineers.” John Wiley and Sons‚ Inc.‚ Second Edition N/A. (2013). Electrical Engineering. In Maximum Power Transfer Theorem. Retrieved September 6‚2013‚ from http://www.electrical4u.com/maximum-power-transfertheorem/. Wayne Storr. (September 2013). Electronics-Tutorial. In Maximum Power Transfer Theorem. Retrieved September 6‚2013‚ from http://www.electronicstutorials.ws/dccircuits/dcp_9.html. N/A. (June 11‚2010). Digilent. In Maximum Power Transfer. Retrieved
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laws of logic. A falsehood must therefore be any statement or claim that cannot be sustained by a valid logical process with the given assumptions. Let’s take the example of Pythagoras‚ whose famous theorem is ubiquitous to this day. Pythagoras assumed a Euclidean plane system and used past theorems to prove his own. It is not his proof that will be the focus of this essay‚ but the process. Pythagoras developed his proof through the method of abstraction‚ that is‚
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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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Contributions of the Six Giants Thales of Miletus * He founded the geometry of lines‚ so is given credit for introducing abstract geometry. * Developed the first general theorems in geometry. * He was the first to demonstrate the truth of geometric relationship by showing that it flowed in a logical and orderly fashion from a set of universally accepted axioms called postulates Pythagoras
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Fig.1 Ramsey’s theorem states that if p‚q≥2 are integers‚ then there is a positive integer n such that if we color the edges of kn using two colors‚ red and blue‚ it is impossible to color the edges of the kn without forming either a red kp or a blue kq. In short we formulate it as kn[pic]kp‚kq (read as kn arrows kp‚kq). The smallest value of such n is denoted by r(p‚q)‚known as the Ramsey number. A famous example for the two color Ramsey theorem is k6 which arrows k3‚k3.
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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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