Lebesgue measure
Lebesgue measure noun: 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).
Noun
Lebesgue measure (plural Lebesgue measures)
- 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).
Forms of Lebesgue measure
| plural | Lebesgue measures |
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Origin of Lebesgue measure
Named after French mathematician Henri Lebesgue.
Questions about Lebesgue measure
- What does Lebesgue measure mean?
- Lebesgue measure means 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).
- What part of speech is Lebesgue measure?
- Lebesgue measure is a noun.
- What is the plural of Lebesgue measure?
- The plural of Lebesgue measure is Lebesgue measures.
Words near Lebesgue measure in the dictionary
Source and license
Adapted from Wiktionary: Lebesgue measure (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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