isCountablyAdditive
P102501
predicate
Indicates that a measure or function preserves additivity over countable collections, meaning the value on a countable union of disjoint sets equals the sum of its values on each set.
All labels observed (2)
| Label | Occurrences |
|---|---|
| isCountablyAdditive canonical | 1 |
| notCountablyAdditive | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: isCountablyAdditive
Generated description
Indicates that a measure or function preserves additivity over countable collections, meaning the value on a countable union of disjoint sets equals the sum of its values on each set.
Sample triples (2)
| Subject | Object |
|---|---|
| Lebesgue measure | true ⓘ |
| Banach limit | not given by a countably additive measure on ℕ via predicate surface "notCountablyAdditive" ⓘ |