measure
C30699
concept
A measure is a function that assigns a non-negative extended real number to subsets of a given set in a way that generalizes notions of length, area, and volume while satisfying countable additivity.
All labels observed (7)
| Label | Occurrences |
|---|---|
| measure canonical | 5 |
| Gaussian measure | 1 |
| Lebesgue–Stieltjes measure | 1 |
| concept in measure theory | 1 |
| mass–energy measure | 1 |
| measure in probability theory | 1 |
| probability measure | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: measure
Generated description
A measure is a function that assigns a non-negative extended real number to subsets of a given set in a way that generalizes notions of length, area, and volume while satisfying countable additivity.
Instances (9)
| Instance | Via concept surface |
|---|---|
| Bondi mass | mass–energy measure |
| Lévy measure | measure in probability theory |
| Lebesgue measure | — |
| Wiener measure | probability measure |
| Carathéodory measurability criterion | concept in measure theory |
| Hausdorff measure | — |
| Haar measure | — |
| Stieltjes measure | — |
| Liouville measure | — |