"Number theory" Essays and Research Papers

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    THE DIVINITY OF NUMBER: The Importance of Number in the Philosophy of Pythagoras by Br. Paul Phuoc Trong Chu‚ SDB Pythagoras and his followers‚ the Pythagoreans‚ were profoundly fascinated with numbers. In this paper‚ I will show that the heart of Pythagoras’ philosophy centers on numbers. As true to the spirit of Pythagoras‚ I will demonstrate this in seven ways. One‚ the principle of reality is mathematics and its essence is numbers. Two‚ odd and even numbers signify the finite and

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    The Egyptian number system I choose to write about the Egyptian Number system because I am familiar with the base system they use. Therefore‚ it is easy for me to explain. In this essay I will briefly talk about the history of the Egyptian number system‚ indicate their base‚ symbols‚ whether their number system is positional or not and finally explain their number system by giving examples. The Egyptians had a writing system based on hieroglyphs from around 3000 BC. Hieroglyphs was found

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    The Number Devil

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    The Number Devil The Number Devil - A Mathematical Adventure‚ by Hans Magnus Enzensberger‚ begins with a young boy named Robert who suffers from reoccurring nightmares. Whether he’s getting slurped up by a giant fish‚ sliding down an endless slide into a black hole‚ or falling into a raging river‚ his incredibly detailed dreams always seem to have a negative effect on him. Robert’s nightmares either frighten him‚ make him angry‚ or disappoint him. His one wish is to never dream again; however‚

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    Number System

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    IX Mathematics Chapter 1: Number Systems Chapter Notes Key Concepts 1. 2. 3. 4. 5. Numbers 1‚ 2‚ 3…….‚ which are used for counting are called Natural numbers and are denoted by N. 0 when included with the natural numbers form a new set of numbers called Whole number denoted by W -1‚-2‚-3……………..- are the negative of natural numbers. The negative of natural numbers‚ 0 and the natural number together constitutes integers denoted by Z. The numbers which can be represented in the form of p/q where

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    Complex Number

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    Complex Number System Arithmetic A complex number is an expression in the form: a + bi where a and b are real numbers. The symbol i is defined as √ 1. a is the real part of the complex number‚ and b is the complex part of the complex number. If a complex number has real part as a = 0‚ then it is called a pure imaginary number. All real numbers can be expressed as complex numbers with complex part b = 0. -5 + 2i 3i 10 real part –5; imaginary part 2 real part 0; imaginary part 3 real part 10; imaginary

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    Graham's Number

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    Graham’s number‚ named after Ronald Graham‚ is a large number that is an upper bound on the solution to a certain problem in Ramsey theory. The number gained a degree of popular attention when Martin Gardner described it in the "Mathematical Games" section of Scientific American in November 1977‚ writing that‚ "In an unpublished proof‚ Graham has recently established ... a bound so vast that it holds the record for the largest number ever used in a serious mathematical proof." The 1980 Guinness

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    Real Numbers

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    Real Numbers -Real Numbers are every number. -Therefore‚ any number that you can find on the number line. -Real Numbers have two categories‚ rational and irrational. Rational Numbers -Any number that can be expressed as a repeating or terminating decimal is classified as a rational number Examples of Rational Numbers 6 is a rational number because it can be expressed as 6.0 and therefore it is a terminating decimal. -7 ½ is a rational number because it can be expressed as -7.5 which is a

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    Reynolds number

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    ABSTRACT Reynolds number can be defined as a number of varieties of situations where a fluid is in relative with motion to a surface. This experiment is to observe the behavior of the flow of fluid either it is laminar or turbulent by calculating it’s Reynolds number and the characteristic of the flow. Other than that‚ the range for laminar and turbulent flow can be calculated and the theory that Reynolds number is dimensionless can be proven. The pump is opened to let the water flow. The dye

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    Real Numbers

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    Real number In mathematics‚ a real number is a value that represents a quantity along a continuum‚ such as 5 (an integer)‚ 3/4 (a rational number that is not an integer)‚ 8.6 (a rational number expressed in decimal representation)‚ and π (3.1415926535...‚ an irrational number). As a subset of the real numbers‚ the integers‚ such as 5‚ express discrete rather than continuous quantities. Complex numbers include real numbers as a special case. Real numbers can be divided into rational numbers‚ such

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    Irrational Numbers

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    would be without irrational numbers? If the great Pythagorean hyppasus or any other mathematician would have not ever thought of such numbers?  Before ‚understanding the development of irrational numbers ‚we should understand what these numbers originally are and who discovered them? In mathematics‚ an irrational number is any real number that cannot be expressed as a ratio a/b‚ where a and b are integers and b is non-zero. Irrational numbers are those real numbers that cannot be represented as

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