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    system. There is quite a bit of bureaucracy and conformity to overcome. The education system is profoundly skewed and this is the second time I have experienced its most significant problem: placement and grading. Most educators place too much value on inflexible systems for identifying proper places for students and estimate their comprehension of the material; there are many factors that may aid or hinder a student's performance on such tests. Yet, even excusing poor test score(s) is not my

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    The Evolution of Differential Calculus

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    process known as differentiation, which is the process of finding the derivative of a curve. Differential calculus is a major topic covered in calculus. According to Interactive Mathematics, “We use the derivative to determine the maximum and minimum values of particular functions (e.g. cost, strength, amount of material used in a building, profit, loss, etc.).” Not only are derivatives used to determine how to maximize or minimize functions, but they are also used in determining how two related variables

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    1. Introduction: As I was looking for a theorem to prove for my Mathematics SL internal assessment, I couldn’t help but read about Fermat’s Little Theorem, a theorem I never heard of before. Looking into the theorem and reading about it made me develop an interest and genuine curiosity for this theorem. It was set forth in the 16th century by a French lawyer and amateur mathematician named Pierre de Fermat who is given credit for early developments that led to infinitesimal calculus. He made significant

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    Fermat's Little Theorem came about. INTRODUCTION OF FERMAT'S LITTLE THEOREM Pierre de Fermat was a French mathematician whose contribution to analytic geometry and calculus are duly noted. But, what made him and still makes him a relevant mathematic figure is one of his well and widely known theorem; Fermat's Little Theorem. This theorem was first stated by him in a letter to a fellow friend on October 18, 1640, but what made it interesting is that he gave no proof of this theorem. This is how the

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    Chebyshev theorem applies to all kinds of distribution regardless of their shape. It can be used in scenarios where the shape of the distribution is not known or not normal. Chebyshev Theorem states at least 1-(1/k2) values will fall within (+/- )k standard deviations of the mean regardless of the shape of the distribution. Within k standard deviations of the mean μ (+/- )kσ lie at-least 1-(1/k2) Proportion of values. Assumption : k>1 Coefficient of variation

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    D. How is Bayes theorem important in avoiding fallacies commonly made in law and courtrooms? I. Base rate fallacy If presented with related generic, general information and specific information (information pertaining only to a certain case), the mind tends to ignore the former and focus on the latter. This can be avoided using Bayes’ Theorem, as it takes into account prior probability (which is the probability assessed before making reference to certain relevant observations, especially subjectively

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    language of FL4. 2. We shall consider the notion of falsehood as a primitive one which will be used as a logical operator in this formal system. 3. The sentence '(- S)' is always either true or false, while the sentence 'S' may have other truth-values than true or false. In other words, the laws of classical logic are valid for sentence '(- S)', but need not to be valid for sentence 'S'. 4. Sentences with the implication will be evaluated in standard way. Let '(S1 ® S2) ' stands for 'S1 implies

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    YTHAGOREAN THEOREM 3 Pythagorean Theorem Introduction The purpose of this paper is for grade 9 and grade 10 students in Ontario high schools to know a brief history about the development of the Pythagorean theorem, write a proof of the theorem, solve problems using the Pythagorean theorem, and calculate primitive Pythagorean triples with one odd and one even number. The theorem is called by di erent names: Pythagoras' theorem, the hypotenuse theorem or Euclid I 47, so called because it is listed

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    Fermat’s Last Theorem

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    Fermat’s Last Theorem The year is 1637. Pierre de Fermat sits in his library, huddled over a copy of Arithmetica written by the Greek mathematician Diaphantus in the third century A. D. Turning the page, Fermat comes across the Pythagorean equation: x 2 + y 2 = z 2. He leans back in his chair to think and wonders if this property is limited to the power of two only. He bends over the book again, scanning ahead through the pages to look for any clues. Suddenly, he begins writing intensely

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    Binomial Theorem Essay

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    Binomial Theorem is one such phenomenon, which was founded by the combined efforts of Blaise Pascal, Isaac Newton and many others. This theorem is mainly algebraic, which contains binomial functions, arithmetic sequences and sigma notation. I chose the Binomial Theorem because of its complexity, yet simplicity. Its efficiency fascinates me and I would like to share this theorem that can be utilized to solve things in the Mathematical world that seem too daunting to be calculated by normal means. In 1665

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