Pythagorean Theorem: Some False Proofs Even smart people make mistakes. Some mistakes are getting published and thus live for posterity to learn from. I ’ll list below some fallacious proofs of the Pythagorean theorem that I came across. Some times the errors are subtle and involve circular reasoning or fact misinterpretation. On occasion‚ a glaring error is committed in logic and leaves one wondering how it could have avoided being noticed by the authors and editors. Proof 1 One such error appears
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MATH 1003 Calculus and Linear Algebra (Lecture 1) Albert Ku HKUST Mathematics Department Albert Ku (HKUST) MATH 1003 1 / 18 Outline 1 About MATH 1003 2 Mathematics of Finance 3 Simple Interest Albert Ku (HKUST) MATH 1003 2 / 18 About MATH 1003 About MATH 1003 Lecturer: Albert Ku (Office: Rm 3492. E-mail: maybku@ust.hk) Teaching assistant: Dy Chun Yin‚ Li Xing‚ Lau Hing Sang and Wong Kwok Pang Office hours at Learning Commons: Fri 10:00-noon Textbook:
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Animal Kingdom The animal kingdom is a taxonomic kingdom composed of multicellular‚ eukaryotic organisms. Mostly‚ their body structures become fixed as they develop‚ yet still some organisms in this kingdom have the ability to undergo metamorphosis. The majority of these organisms are motile‚ which means they can move on their own and with spontaneity. All animals are heterotrophic‚ which implies that they depend on other organisms for food. Animals live in places that provide their necessities
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Direct Variation Try the following: 1. If m varies directly as y and m is 6 when y is 36‚ find the Choose: constant of variation. 1/6 6 1/36 36 Explanation 2. "a varies directly as b". If a = 3 when b = 24‚ find b when a = 10. Choose: 1.25 8 36 80 Explanation 3. There are about 200 calories in 50 grams of Swiss cheese. Choose: Willie ate 70 grams of this cheese. About how many 210 calories were in the cheese that he ate if the number of 240 calories
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Elements of Mathematics for Economists Bernard Cornet January 18‚ 2011 Contents Notation 1 Euclidean Spaces 1.1 Scalar Product and Associated Norm . . . . . . . . . . . . 1.1.1 Scalar Product . . . . . . . . . . . . . . . . . . . . 1.1.2 Norm Associated to a Scalar Product . . . . . . . . 1.1.3 Convergence in a Normed Space . . . . . . . . . . . 1.1.4 Euclidean Spaces and Hilbert Spaces . . . . . . . . 1.2 Matrices and Scalar Product . . . . . . . . . . . . . . . . . 1.2.1 Generalities on Matrices
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The Use of Algebra in our Daily Life. 1. Algebra is a method of calculating using simple equations to represent quantity and to show relation between them. Algebra is also a part of our life‚ we use it on measuring the length of our table‚notebooks‚doors and other more. Another concept of mine is measuring capacity‚In school we always measure the right amount of ingredients that we cook. Because to an culinary student like me we are showing how to measure the exact amount of ingredients that
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1. The length of a rectangle is 4 feet less than twice the width of the rectangle. If the perimeter of the rectangle is 85 feet‚ find the width and the length. X L W x 2W-3 2. A total of $9000 is deposited into two simple interest accounts. In one account the annual simple interest rate is 5%‚ and in the second account the annual simple interest rate is 7%. The amount of interest earned for 1 year was $485. How much was invested in each account?
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In all of these equations we are finding the factor for the answer. We are using grouping‚ GCF‚ prime factor‚ and perfect square as well in these set equations. Page 345 - 346 #52. Using (45) as the product and (18) as the sum. 18z + 45 + z^2 Equation (z + 15)(z + 3) Answer Breaking it down using the FOIL method to verify the answer: z * z = z^2 This is a perfect square. 15 * z = 15z z * 3 = 3z 15 * 3 = 45 In this equation to get the answer we need to use the GCF (Greatest Common
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Joey Dolce Mr. Moore Algebra 2 28 September 2012 Algebra Writing Assignment The articles written by Roger C. Schank oppose the standard way of educating the young minds of America. The articles explain why‚ Algebra‚ Chemistry‚ Physics‚ History‚ and more academic subjects are useless in developing a young teenagers mind and growth. Although Roger C. Schank makes valid points about his arguments‚ I disagree with him on most of his opinions. Even though math is not a strong subject of mine
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Algebra 1 Schools in California now have higher expectations to make it necessary for students to take a Algebra 1 course in order to graduate from high school. This requirement issues that it will help students achieve higher expectations and great problem solving skills in future references. People like Mitchell Rosen a licensed family counselor who also disagrees with having Algebra 1 be a requirement for high schools. In one of Rosens articles “Finding X is not a factor of living‚” he explains
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