Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision | Next revision Both sides next revision | ||
|
order_structure_of_real_numbers [2014/03/21 11:11] 127.0.0.1 external edit |
order_structure_of_real_numbers [2015/06/30 16:11] nikolaj |
||
|---|---|---|---|
| Line 7: | Line 7: | ||
| | @#55EE55: postulate | @#55EE55: $s \subseteq r \Leftrightarrow s\ge r$ | | | @#55EE55: postulate | @#55EE55: $s \subseteq r \Leftrightarrow s\ge r$ | | ||
| - | ==== Discussion ==== | + | ----- |
| + | === Theorems === | ||
| + | AM-GM inequality. | ||
| + | |||
| + | $\dfrac{1}{n}\sum_{k=1}^n x_k \ge \left(\prod_{k=1}^n x_k\right)^\frac{1}{n}$ | ||
| === 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]] | ||
| - | ==== Parents ==== | + | |
| + | ----- | ||
| === Context === | === Context === | ||
| [[Real number]] | [[Real number]] | ||
| === Element of === | === Element of === | ||
| [[Total order]] | [[Total order]] | ||
