Word.ws English Dictionary

outer measure

outer measure noun: a measure-like function derived from some premeasure as follows: when it is applied to a set E, it yields the infimum of the premeasures of all possible premeasurable covers of E. More abstractly, a measure-like function whose domain is the power set of some underlying set, which has the properties of (1) yielding zero when applied to the empty set, (2) being monotonic (if A is subset of B then this function applied to A is less-than-or-equal to this function applied to B), (3) being subadditive (if A is a countable sum of Bⱼ's then this function applied to A is less-than-or-equal to the sum of the applications of this function to the Bⱼ's).

Noun

outer measure (plural outer measures)

  1. A measure-like function derived from some premeasure as follows: when it is applied to a set E, it yields the infimum of the premeasures of all possible premeasurable covers of E. More abstractly, a measure-like function whose domain is the power set of some underlying set, which has the properties of (1) yielding zero when applied to the empty set, (2) being monotonic (if A is subset of B then this function applied to A is less-than-or-equal to this function applied to B), (3) being subadditive (if A is a countable sum of Bⱼ's then this function applied to A is less-than-or-equal to the sum of the applications of this function to the Bⱼ's).

outer measure meaning in Tamil

outer measure in Tamil

வெளி நிலை அளவை

Antonyms of outer measure

  • inner measure

Forms of outer measure

pluralouter measures

Questions about outer measure

What does outer measure mean?
Outer measure means a measure-like function derived from some premeasure as follows: when it is applied to a set E, it yields the infimum of the premeasures of all possible premeasurable covers of E. More abstractly, a measure-like function whose domain is the power set of some underlying set, which has the properties of (1) yielding zero when applied to the empty set, (2) being monotonic (if A is subset of B then this function applied to A is less-than-or-equal to this function applied to B), (3) being subadditive (if A is a countable sum of Bⱼ's then this function applied to A is less-than-or-equal to the sum of the applications of this function to the Bⱼ's).
What is outer measure in Tamil?
Outer measure in Tamil is வெளி நிலை அளவை. See Outer measure meaning in Tamil.
What part of speech is outer measure?
Outer measure is a noun.
What is the plural of outer measure?
The plural of outer measure is outer measures.

Words near outer measure in the dictionary

  1. outer lips
  2. Outer Manchuria
  3. outer mantle
  4. outer marker
  5. outer markers
  6. outer measure
  7. outer measures
  8. Outer Mongolia
  9. Outer Mongolian
  10. Outer Mongolians
  11. outer phalangeal cell

Source and license

Adapted from Wiktionary: outer measure (page history and authors); outer measure (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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