What does borel measure mean?
Definitions for borel measure
borel mea·sure
This dictionary definitions page includes all the possible meanings, example usage and translations of the word borel measure.
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Wiktionary
Borel measurenoun
A measure whose domain is the Borel u03C3-algebra of a locally compact Hausdorff space.
Wikidata
Borel measure
In mathematics, specifically in measure theory, a Borel measure is defined as follows: let X be a locally compact Hausdorff space, and let be the smallest σ-algebra that contains the open sets of X; this is known as the σ-algebra of Borel sets. Any measure μ defined on the σ-algebra of Borel sets is called a Borel measure. Some authors require in addition that μ < ∞ for every compact set C. If a Borel measure μ is both inner regular and outer regular, it is called a regular Borel measure. If μ is both inner regular and locally finite, it is called a Radon measure. Note that a locally finite Borel measure automatically satisfies μ < ∞ for every compact set C.
Numerology
Chaldean Numerology
The numerical value of borel measure in Chaldean Numerology is: 9
Pythagorean Numerology
The numerical value of borel measure in Pythagorean Numerology is: 8
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"borel measure." Definitions.net. STANDS4 LLC, 2024. Web. 15 Jun 2024. <https://www.definitions.net/definition/borel+measure>.
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