Triple
T15977107
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy functional equation |
E387476
|
entity |
| Predicate | impliesUnderContinuity |
P1661
|
FINISHED |
| Object | f(x) = ax for some constant a |
—
|
LITERAL FINISHED |
Named-entity recognition
Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's LITERAL type shown above.
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: f(x) = ax for some constant a | Statement: [Cauchy functional equation, impliesUnderContinuity, f(x) = ax for some constant a]
Disambiguation candidates (1 decision)
The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: impliesUnderContinuity Context triple: [Cauchy functional equation, impliesUnderContinuity, f(x) = ax for some constant a]
-
A.
continuityFrom
Indicates that one entity continues, extends, or proceeds directly from another in a seamless or unbroken manner.
-
B.
continuityRelation
Indicates a relationship where one entity directly follows, extends, or maintains an unbroken connection with another in space, time, or logical sequence.
-
C.
continuityPrinciple
Indicates that a relationship or process persists smoothly over time or space without abrupt breaks, gaps, or discontinuities.
-
D.
symbolicContinuity
Indicates that there is a consistent, ongoing use or preservation of the same symbols or symbolic forms across time, contexts, or instances.
-
E.
implies
chosen
Indicates that the truth of one statement guarantees or leads logically to the truth of another statement.
- F. None of above.
Provenance (3 batches)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69d86da94ccc819083d187f5dc6a123e |
elicitation | completed |
| NER | batch_69e17d4d08f481909f38b75e3f42d9ab |
ner | completed |
| PD | batch_69e142d9d8e881909b559a3e3ca21d24 |
pd | completed |
Created at: April 10, 2026, 4:54 a.m.