Mathematics and the Arts Kokichi Sugihara 1. Fractal Voronoi Diagrams The Voronoi diagram represents the partition of the plane into territories‚ where each territory consists of points nearest to the associated generators. Starting with a small number of generators‚ we add generators at random‚ simulate territory competing‚ and assign colors to the resulting diagram. Then‚ we get something like artistic patterns. Search for the point with the maximum F (θ ‚ ϕ ) in the (θ ‚ ϕ ) space. 3. Generation
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1 Engineering Mathematics 1 (AQB10102) CHAPTER 1: NUMBERS AND ARITHMETIC 1.1 TYPE OF NUMBERS NEGATIVE INTEGER - POSITIVE AND REAL NUMBERS (R) • • Numbers that can be expressed as decimals Real Number System: • Consist of positive and negative natural numbers including 0 Example: …‚ -5‚ -4‚ -3‚ -2‚ -1‚ 0‚ 1‚ 2‚ 3‚ 4‚ 5‚ … • All numbers including natural numbers‚ whole numbers‚ integers‚ rational numbers and irrational numbers are real numbers Example: 4 = 4
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Randse Afrikaanse Universiteit Rand Afrikaans University TOEGEPASTE WISKUNDE 1B APPLIED MATHEMATICS 1B 1. P.4.3.1 2. P.4.3.2 3. P.4.3.3 Vraag 4 Vir die massa in P.4.3.3 by t = 3sek. bereken: (a) Die hoekspoed van die massa om die oorsprong. (b) Die krommingstraal van die boom. (c) Die koordinate van die krommingsmiddelpunt. Question 4 For the mass in P.4.3.3 at t = 3sec. calculate: (a) The angular velocity of the mass around the origin. (b) The radius of curvature of the trajectory. (c) The coordinates
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Mathematics in Gaming: Understanding can help you win! Prafull S Chapate1 Vimaltai Tidke Convent‚ Narendranagar Nagpur-440027‚ Maharashtra‚ India Abstract In this paper‚ we present you detail relationship between mathematics and some of the games you encountered in your daily life. Mathematical knowledge of these games gives you an edge over your mathematically ignorant opponent and who knows may help you win the game and money. 1. Introduction For entertainment many people play
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Zero in Mathematics Zero as a number is incredibly tricky to deal with. Though zero provides us with some useful mathematical tools‚ such as calculus‚ it presents some problems that if approached incorrectly‚ lead to a breakdown of mathematics as we know it. Adding‚ subtracting and multiplying by zero are straightforward. If c is a real number‚ c+0=c c-0=c c x 0=0 These facts are widely known and regarded to hold true in every situation. However‚ division by zero is a far more complicated
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of any circle’s circumference to its diameter in the Euclidean plane; this is the same value as the ratio of a circle’s area to the square of its radius. It is approximately equal to 3.14159265 in the usual decimal notation. Many formulae from mathematics‚ science‚ and engineering involve π‚ which makes it one of the most important mathematical constants. π is an irrational number‚ which means that its value cannot be expressed exactly as a fraction m/n‚ where m and n are integers. Consequently
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ADDITIONAL MATHEMATICS PROJECT YEAR 2011 FORM5 NAME : ONG KAH HONG FORM : 5 CEMERLANG NO I/C : 940422-06-5075 TITLE :Crude Oil TEACHER : MISS PHUA CHUI CHUI CONTENTS 1. Introduction Introduction of project……………. Introduction of integration………... Definition of integration………….. History of integration…………….. 2. Problem Solving Part1………………………………. Part2………………………………. Part3………………………………. Part4………………………………. Part5………………………………
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GENERAL AND SPECIFIC COMPETENCIES IN MATHEMATICS IV (Advanced Algebra‚ Trigonometry and Statistics) A. Functions 1. Demonstrate knowledge and skill related to functions in general 1.1 Define a function 1.2 Differentiate a function from a mere relation * real life relationships * set of ordered pairs * graph of a given set of ordered pairs * vertical line test * given equation 1.3 Illustrate the meaning of the functional notation f(x) 1.4 Determine the value of
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Zero is a number and a digit used in mathematics to represent that number in numerals. Zero is not a natural number but it is the smallest whole number. There are two important uses of zero. Firstly‚ in place value number system it is used as empty place indicator. Hence‚ in this number‚ 5102‚ the positions of 5 and one are correct just because of the inclusion of zero. Five is denoting a thousandth place value. Similarly if we omit zero from 5102 that is 512‚ then 5 denote a hundredth place value
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summarizes the article‚ describes how the strategies in the article can be used in the classroom as well as a personal reflection. Mathematics is often viewed as a non-cultural subject. However‚ there are many ways that a mathematics teacher can make mathematics more inclusive and inviting for all students. The article‚ “Multicultural Mathematics: A More Inclusive Mathematics” is an article that describes methods and strategies to assist teachers in making Math more inclusive to appeal to all students
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