Period 7 Jack Whyte Reflection This year‚ both as a student and as a person‚ I learned a tremendous amount. For instance‚ I learned that in England‚ its spelled “grey”‚ but in America its spelled “gray”. That pretty much was the coolest and most useful thing I have heard in a long time‚ let alone in the past 10 months. But I am not in a position today to discuss this‚ and thus I will be detailing everything else I have learned that has fallen short. Scholastically‚ I’ve grown to appreciate
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electrical devices. - Such interconnection is referred to as an electric circuit‚ and each component of the circuit is known as an element. An electric circuit is an interconnection of electric elements. EE2001 Circuit Analysis 2012/2013 Circuit Theorems Prepared by John Chan Email:ecychan@ntu.edu.sg 1 2 - A simple electric circuit is shown in Fig. 1. - It consists of three basic elements: a battery‚ a lamp‚ and connecting wires. - In this course‚ we are going to learn various analytical
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Al-Karaji (953–1029).It was later repeated by the Persian poet-astronomer-mathematician Omar Khayyám (1048–1131); thus the triangle is referred to as the Khayyam-Pascal triangle or Khayyam triangle in Iran. Several theorems related to the triangle were known‚ including the binomial theorem. Khayyam used a method of finding nth roots based on the binomial expansion‚ and therefore on the binomial coefficients. Pascal’s triangle was known in China in the early 11th century through the work of the Chinese
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MATH INVESTIGATION 4.2 FACTORIZATIONS on the Math Investigator determines if a number is prime or composite. If a number is composite‚ it prints all its factors‚ the number of factors‚ and its prime factorization. The numbers 1‚ 2‚ 4‚ and 6 have 1‚ 2‚ 3‚ and 4 factors‚ respectively: 1 has only 1 as a factor; 2 has 1 and 2 as factors; 4 has 1‚ 2‚ and 4 as factors; and 6 has 1‚ 2‚ 3‚ and 6 as factors. These factors are illustrated by the rectangles shown here. Starting Points for Investigations
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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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