ρ(B) = ρ(A), and ξ(B) < = ξ(A), with ξ(B) = ξ(A) fif σ(A) = σ(B) – this is what averaging is all about, where ρ is the measure of the aspect of interest (e.g., area), ξ is the measure of the complexity of the object, and σ gives the contour (shape) of the object – for example, let A be a rectangle having length 4 and width 1 and B a square having side-length 2, and the aspect of interest be area.

keywords:

[Mathematics]

[arithmetic mean]

[geometric mean]

[harmonic mean]

[power mean]

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