Lebesgue measure
Hello, you have come here looking for the meaning of the word Lebesgue measure. In DICTIOUS you will not only get to know all the dictionary meanings for the word Lebesgue measure, but we will also tell you about its etymology, its characteristics and you will know how to say Lebesgue measure in singular and plural. Everything you need to know about the word Lebesgue measure you have here. The definition of the word Lebesgue measure will help you to be more precise and correct when speaking or writing your texts. Knowing the definition ofLebesgue measure, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.
English
Etymology
Named after French mathematician Henri Lebesgue.
Pronunciation
Noun
Lebesgue measure (plural Lebesgue measures)
- (mathematical analysis) A unique complete translation-invariant measure for the σ-algebra which contains all k-cells in a given Euclidean space, and which assigns a measure to each k-cell which is equal to that k-cell's volume (as defined in Euclidean geometry: i.e., the volume of the k-cell equals the product of the lengths of its sides).
Hypernyms
Translations
Translations
|