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Σ-finite measure and Fubini's theorem

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

Difference between Σ-finite measure and Fubini's theorem

Σ-finite measure vs. Fubini's theorem

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 mathematical analysis Fubini's theorem, introduced by, is a result that gives conditions under which it is possible to compute a double integral using iterated integrals.

Similarities between Σ-finite measure and Fubini's theorem

Σ-finite measure and Fubini's theorem have 5 things in common (in Unionpedia): Counting measure, Decomposable measure, Lebesgue measure, Measurable function, Measure (mathematics).

Counting measure

In mathematics, the counting measure is an intuitive way to put a measure on any set: the "size" of a subset is taken to be: the number of elements in the subset if the subset has finitely many elements, and ∞ if the subset is infinite.

Σ-finite measure and Counting measure · Counting measure and Fubini's theorem · See more »

Decomposable measure

In mathematics, a decomposable measure is a measure that is a disjoint union of finite measures.

Σ-finite measure and Decomposable measure · Decomposable measure and Fubini's theorem · See more »

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.

Σ-finite measure and Lebesgue measure · Fubini's theorem and Lebesgue measure · See more »

Measurable function

In mathematics and in particular measure theory, a measurable function is a function between two measurable spaces such that the preimage of any measurable set is measurable, analogously to the definition that a function between topological spaces is continuous if the preimage of each open set is open.

Σ-finite measure and Measurable function · Fubini's theorem and Measurable function · See more »

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) · Fubini's theorem and Measure (mathematics) · See more »

The list above answers the following questions

Σ-finite measure and Fubini's theorem Comparison

Σ-finite measure has 35 relations, while Fubini's theorem has 28. As they have in common 5, the Jaccard index is 7.94% = 5 / (35 + 28).

References

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

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