6. Actual measurements

6.1 Definition

A real measure is the generalization of the notion of positive measure by allowing negative values.

Definition (real measure). A real measure in $ℝ^{n}$ , denoted µ, is a countably additive application, defined on the σ-algebra $A$ of $ℝ^{n}$ , and with values in

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Actual measurements

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Exterior measurements

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Bibliography

(1) - ALBERTI (G.) - Geometric measure theory. - Encyclopedia of Mathematical Physics, Vol. 2, pp. 520-527 (J.-P. Françoise et al, eds), Elsevier (2006).
(2) - AMBROSIO (L.), CAPASSO (V.), VILLA (E.) - On the approximation of mean densities of random closed...

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