topic entry on rational numbers
PlanetMath articles concerning the rational numbers
Definition
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Properties
Forms
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any rational number is a sum of unit fractions^{}
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Where are rational numbers?
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irrational to an irrational power can be rational
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Roth’s theorem
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http://planetmath.org/node/12127solutions of the equation ${x}^{y}={y}^{x}$
Sets

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rings of rational numbers
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proof that the rationals are countable^{}

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another proof of cardinality of the rationals

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dense set
Polynomials and functions
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Dirichlet’s function
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Rational vs. irrational
Title  topic entry on rational numbers 

Canonical name  TopicEntryOnRationalNumbers 
Date of creation  20130322 19:08:15 
Last modified on  20130322 19:08:15 
Owner  pahio (2872) 
Last modified by  pahio (2872) 
Numerical id  12 
Author  pahio (2872) 
Entry type  Topic 
Classification  msc 13B30 
Classification  msc 11A99 
Classification  msc 03E99 
Synonym  entries on rational numbers 
Related topic  TopicEntryOnRealNumbers 