Σ-finite measure and Hausdorff measure

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Σ-finite measure and Hausdorff measure

Σ-finite measure vs. Hausdorff measure

In mathematics, a positive (or signed) measure μ defined on a ''σ''-algebra Σ of subsets of a set X is called finite if μ(X) is a finite real number (rather than ∞). In mathematics a Hausdorff measure is a type of outer measure, named for Felix Hausdorff, that assigns a number in to each set in Rn or, more generally, in any metric space.

Similarities between Σ-finite measure and Hausdorff measure

Σ-finite measure and Hausdorff measure have 5 things in common (in Unionpedia): Hausdorff dimension, Lebesgue measure, Mathematics, Measure (mathematics), Metric space.

Hausdorff dimension

Hausdorff dimension is a measure of roughness in mathematics introduced in 1918 by mathematician Felix Hausdorff, and it serves as a measure of the local size of a space, taking into account the distance between its points.

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Lebesgue measure

In measure theory, the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a measure to subsets of n-dimensional Euclidean space.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Measure (mathematics)

In mathematical analysis, a measure on a set is a systematic way to assign a number to each suitable subset of that set, intuitively interpreted as its size.

Σ-finite measure and Measure (mathematics) · Hausdorff measure and Measure (mathematics) · See more »

Metric space

In mathematics, a metric space is a set for which distances between all members of the set are defined.

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The list above answers the following questions

What Σ-finite measure and Hausdorff measure have in common
What are the similarities between Σ-finite measure and Hausdorff measure

Σ-finite measure and Hausdorff measure Comparison

Σ-finite measure has 35 relations, while Hausdorff measure has 25. As they have in common 5, the Jaccard index is 8.33% = 5 / (35 + 25).

References

This article shows the relationship between Σ-finite measure and Hausdorff measure. To access each article from which the information was extracted, please visit:

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