Cubic mean

The cubic mean ${\bar {x}}_{{\mathrm {cubic}}}$ of $n$ real numbers $x_{i}\in {\mathbb R}$ is defined as:

{\bar {x}}_{{\mathrm {cubic}}}={\sqrt[ {3}]{{\frac {1}{n}}\sum _{{i=1}}^{n}{x_{i}^{3}}}}={\sqrt[ {3}]{{x_{1}^{3}+x_{2}^{3}+\cdots +x_{n}^{3}} \over n}}.

^[1]^[2]

It can be understood as the generalized mean with $p=3$ .

References

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- "calculation formulas" (PDF).
- Svarovski, Ladislav. Solid-Liquid Separation. google books. Retrieved 2015-01-20.
1 2 "Equivalent Load". Creative Motion Control.
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- "ISO 4301-1-1986 Cranes and lifting appliances; Classification; Part 1 : General". www.iso.org. 1986. also available from "freestd.us". Retrieved 2015-01-20.
- Babu & Sridhar. Design of Machine Elements. google books. Retrieved 2015-01-20.
- Essential Concepts of Bearing Technology, Fifth Edition. google books. Retrieved 2015-01-20.

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