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order_structure_of_real_numbers [2015/06/30 16:12]
nikolaj
order_structure_of_real_numbers [2015/06/30 16:14] (current)
nikolaj
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 === Theorems === === Theorems ===
- AM-GM inequality:+Inequality of arithmetic and geometric means (AM-GM inequality):
  
 ^ $\frac{1}{n}\sum_{k=1}^n x_k \ge \left(\prod_{k=1}^n x_k\right)^\frac{1}{n}$ ^ ^ $\frac{1}{n}\sum_{k=1}^n x_k \ge \left(\prod_{k=1}^n x_k\right)^\frac{1}{n}$ ^
  
 === Reference === === Reference ===
-Wikipedia: [[http://​en.wikipedia.org/​wiki/​Real_number|Real number]], [[http://​en.wikipedia.org/​wiki/​Construction_of_the_real_numbers|Construction of the real numbers]], [[http://​en.wikipedia.org/​wiki/​Dedekind_cut|Dedekind cut]]+Wikipedia: ​ 
 +[[http://​en.wikipedia.org/​wiki/​Real_number|Real number]], ​ 
 +[[http://​en.wikipedia.org/​wiki/​Construction_of_the_real_numbers|Construction of the real numbers]], ​ 
 +[[http://​en.wikipedia.org/​wiki/​Dedekind_cut|Dedekind cut]], 
 +[[https://​en.wikipedia.org/​wiki/​Inequality_of_arithmetic_and_geometric_means|Inequality of arithmetic and geometric means]]
  
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