Triple
T17341085
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Banach limit |
E421066
|
entity |
| Predicate | majorizationProperty |
P86747
|
FINISHED |
| Object | liminf x_n ≤ L(x) ≤ limsup x_n |
—
|
LITERAL FINISHED |
How this triple was built (2 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: liminf x_n ≤ L(x) ≤ limsup x_n | Statement: [Banach limit, majorizationProperty, liminf x_n ≤ L(x) ≤ limsup x_n]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: majorizationProperty Context triple: [Banach limit, majorizationProperty, liminf x_n ≤ L(x) ≤ limsup x_n]
-
A.
majorizedBy
Indicates that one entity is dominated or constrained by another according to a partial order or comparison, such that the second sets an upper bound or stronger condition on the first.
-
B.
parityProperty
Indicates that a relationship or quantity has a specific parity (such as being even, odd, or matching in parity) according to the defined property.
-
C.
operatorMajority
Indicates that a majority of the relevant operators satisfy a given condition or support a particular outcome.
-
D.
hasMathematicalProperty
chosen
Indicates that one entity possesses or exhibits a specific mathematical property or characteristic.
-
E.
convergenceProperty
Indicates that one entity has a convergence-related characteristic or behavior with respect to another entity, such as approaching a limit or stabilizing under repeated application.
- F. None of above.
Provenance (3 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69d889d3adc881909319f1edb8d2a956 |
completed | April 10, 2026, 5:25 a.m. |
| NER | Named-entity recognition | batch_69e43a15f6488190ad7d489e7391ab12 |
completed | April 19, 2026, 2:12 a.m. |
| PD | Predicate disambiguation | batch_69e3b021a5bc81909ae55406f9d0b37f |
completed | April 18, 2026, 4:24 p.m. |
Created at: April 10, 2026, 5:44 a.m.