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Math
Advanced Topics
Advanced Number Theory
Rational or Diophantine Approximation
The Rationals Are Dense in the Reals
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1
Suppose we take two real numbers xxx and yyy, and let x>yx>yx>y without any loss of generality. Then we have some natural number nnn such that n(x−y)>1n(x-y)>1n(x−y)>1. (For exa…
By Manjil Saikia
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