Difference between revisions of "Root mean cube"
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| − | The root mean cube of a set of numbers <math>[x_1, x_2, x_3\ | + | The root mean cube of a set of numbers <math>[x_1, x_2, x_3,\cdots,x_a]</math> is defined as: |
| − | <cmath>\sqrt[3]{\frac{x_1^3+\cdots+x_a^3}{a}}</cmath> | + | <cmath>\sqrt[3]{\frac{x_1^3+x_2^3+x_3^3+\cdots+x_a^3}{a}}</cmath> |
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| + | Mentioned in [[RMS-AM-GM-HM]]. | ||
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| + | {{stub}} | ||
Latest revision as of 13:40, 29 December 2023
The root mean cube of a set of numbers ![$[x_1, x_2, x_3,\cdots,x_a]$](http://latex.artofproblemsolving.com/f/f/e/ffe3184d129c91ece11f40d326ab67a53ad11e7f.png)
is defined as:
![\[\sqrt[3]{\frac{x_1^3+x_2^3+x_3^3+\cdots+x_a^3}{a}}\]](http://latex.artofproblemsolving.com/9/5/b/95ba192352b5c0ee7e7fc7fda60f1cf343076642.png)
Mentioned in RMS-AM-GM-HM.
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