"Number theory" Essays and Research Papers

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    Complex Numbers from a to Z

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    About the Authors Titu Andreescu received his BA‚ MS‚ and PhD from the West University of Timisoara‚ Romania. The topic of his doctoral dissertation was “Research on Diophantine Analysis and Applications.” Professor Andreescu currently teaches at the University of Texas at Dallas. Titu is past chairman of the USA Mathematical Olympiad‚ served as director of the MAA American Mathematics Competitions (1998–2003)‚ coach of the USA International Mathematical Olympiad Team (IMO) for 10 years (1993–2002)

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    numbers in Chinese culture

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    n Chinese tradition‚ certain numbers are believed by some to be auspicious (吉利) or inauspicious (不利) based on the Chinese word that the number name sounds similar to. The numbers 0‚ 6‚ 8‚ and 9 are believed to have auspicious meanings because their names sound similar to words that have positive meanings. Contents   [hide]  1 Lucky numbers 1.1 Zero 1.2 Two 1.3 Three 1.4 Five 1.5 Six 1.6 Seven 1.6.1 Forty-nine 1.7 Eight 1.8 Nine 2 Unlucky numbers 2.1 Four 2.2 Five 2.3 Six 3 Combinations

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    Number the Stars Lois Lowry is the author of Number the stars. She published her book in 1989 by Random House in New York. Her books have a variety of styles and content‚ but they all have the same general theme‚ such as‚ number the stars is set in a different culture and era but all her books tell the same story: that of the role that we humans play in the lives of our fellow beings. Lowry has written 20 novels and she has won the Newberry Medal award twice (Lowry‚ Lois Lowry-Bio). She also tackles

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    them.) 2: All of the dogs in the neighbourhood (was‚ were)barking. (Clue: Make the subject and verb agree when words intervene between them.) 3: A high tax‚ not to mention unemployment‚(influence‚ influences)votes. (Clue: The grammatical number of the subject does not change with the addition of expressions beginning with such words as the following: accompanied by‚ along with‚ as well as‚ in addition to‚ including‚ no less than‚ not to mention‚ together with.) 4: My friends and my mother

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    10th Real Numbers test paper 2011 1. Express 140 as a product of its prime factors 2. Find the LCM and HCF of 12‚ 15 and 21 by the prime factorization method. 3. Find the LCM and HCF of 6 and 20 by the prime factorization method. 4. State whether13/3125 will have a terminating decimal expansion or a non-terminating repeating decimal. 5. State whether 17/8 will have a terminating decimal expansion or a non-terminating repeating decimal. 6. Find the LCM and

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    Real Number and Inequality

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    Inequalities Maths Compiled By : OP Gupta [+91-9650 350 480 | +91-9718 240 480] Exercise 6.1 Question 1: Solve 24x < 100‚ when (i) x is a natural number (ii) x is an integer Answer The given inequality is 24x < 100. (i) It is evident that 1‚ 2‚ 3‚ and 4 are the only natural numbers less than . Thus‚ when x is a natural number‚ the solutions of the given inequality are 1‚ 2‚ 3‚ and 4. Hence‚ in this case‚ the solution set is {1‚ 2‚ 3‚ 4}. (ii) The integers less than are …–3

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    On Classical Ramsey Numbers

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    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. To prove k6 [pic]k3‚k3‚ let’s put 6 points on a plane and call one of them v. There are 5 edges joining v to the remaining 5 points. Let’s color them red

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    Mobile Number Portability

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    MOBILE NUMBER PORTABILITY 1.1 Introduction Mobile Number Portability offers the subscriber the flexibility to retain his telephone number even when he switches to another operator in a service area. Number portability is a feature that allows a mobile subscriber to use the same number across different service providers. The person/user has the liberty to opt for any service provider without the time-consuming exercise of letting the rest of the world know about the change of number Very

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    52 Week Money Challenge Keep this chart in a place you look at every day so that you can track your savings progress using its simple program. Deposit the recommended amount each week and mark it in the “Deposit Complete” column. Set up your personalized Savings Account with a Member Advisor today and begin saving with just $1! Week Deposit Amount Deposit Complete Account Balance Week Deposit Amount Deposit Complete Account Balance 1 $1 $1 27 $27 $378 2 $2 $3 28 $28 $406 3 $3

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    Nouns I. DEFINITION Nouns are the largest group of words in the English language. Nouns may refer language. to: phenomena (ex. Sunshine‚ storm‚ and weather). abstract ideas (ex. Honesty‚ love‚ and loyalty) events (ex. Birthday‚ new year‚ and fiesta) animals (ex. Cat‚ dog‚ and bird) names of persons (ex. Ana‚ nun‚ and datu) names of things (ex. Boat‚ hat‚ and necklace) places (ex. Panay‚ Taal‚ and Borneo) Page 1 of 4 II. DERIVATIONAL NOUNS A noun may be formed by adding

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