outer measure meaning in Tamil

Tamil words for outer measure

வெளி நிலை அளவை

English meaning of outer measure

1. 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).

Full definition of outer measure

Questions about outer measure in Tamil

What is the meaning of outer measure in Tamil?

Outer measure in Tamil is வெளி நிலை அளவை.

outer measure என்பதன் தமிழ் அர்த்தம் என்ன?

Outer measure: வெளி நிலை அளவை.

What does outer measure mean in English?

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).