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Root-mean power

Revision as of 21:25, 15 December 2021 by Albert10 (talk | contribs) (Created page with "A root mean power can be expressed as <cmath>\sqrt[n]{\frac{x_1^n+\cdots+x_a^n}{a}}</cmath> where <math>n</math> is the root mean power and the mean is bigger when <math>n</ma...")
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A root mean power can be expressed as \[\sqrt[n]{\frac{x_1^n+\cdots+x_a^n}{a}}\] where $n$ is the root mean power and the mean is bigger when $n$ is bigger. As $n$ reaches $-\infty$, the mean reaches the lowest number. As $n$ reaches $\infty$, the mean reaches the highest number. Examples and their powers: Cubic Mean: 3, Quadratic Mean: 2, Arithmetic Mean: 1, Geometric Mean: 0 (theoretical, can't be solved using radicals), Harmonic Mean: -1

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