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4.1 Rational numbers, opposites, and absolute value
4.1 Rational numbers, opposites, and absolute value

... ABSOLUTE VALUE  Absolute value is the distance a number is away from zero on the number line ...
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Exam 2 Review Math 266 • You may use a calculator and you may

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... So in 3 steps we get a palindrome, hence 983 is not a Lychrel number. In fact, it is not known if there exist any Lychrel numbers in base 10 (numbers colloquially called “Lychrel numbers” in base 10 are in fact just Lychrel candidates). However, in base 2 for example, there have been numbers proven ...
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Lecture #10: Continuity of Probability
Lecture #10: Continuity of Probability

http://www.cmi.ac.in/~vipul/studenttalks/liouvillenumbers.pdf
http://www.cmi.ac.in/~vipul/studenttalks/liouvillenumbers.pdf

... Louville’s theorem basically says that any algebraic number cannot be approximated by a sequence of numbers convering to it after a certain degree and thus this thoerem can be used to prove the existance of Transcendental Number as well as produce a class of Transcendental Numbers.We will look at a ...
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Solutions - Math Berkeley
Solutions - Math Berkeley

... even whole numbers {0, 2, 4, 6, . . .} and match the other up with the odd whole numbers {1, 3, 5, . . .}. Then the two sets together are matched up with the whole numbers {0, 1, 2, 3, . . .}, which shows that the two sets together are countable. 2. Suppose we have an “alphabet” consisting of finite ...
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Ithaca College Math Day Competition April 18, 2007 Part I
Ithaca College Math Day Competition April 18, 2007 Part I

... 5. How many of the three digit numbers that can be formed from all of the digits 3, 5, and 7 (used only once each) are prime? 6. Two boats on the opposite shores of a river start moving towards each other. When they pass each other they are 500 meters from one shoreline. They each continue to the op ...
an equation that states two ratios are equal is called a proportion
an equation that states two ratios are equal is called a proportion

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... Proof. As described above, if S is a set of prime factors of an abundant number, then we may bound each term in the inequality of the previous theorem to obtain the inequality in the current theorem. Assume, then that S is a finite set of prime numbers which satisfies said inequality. Then, by conti ...
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Unit 1: Value and Magnitude of Rational Numbers

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Ordinals and Cardinals - UCLA Department of Mathematics
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lecture24 - Duke Computer Science
lecture24 - Duke Computer Science

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Georg Cantor's first set theory article

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