Triple
T15977099
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy functional equation |
E387476
|
entity |
| Predicate | hasRegularSolutions |
P107555
|
FINISHED |
| Object | linear functions f(x) = ax |
—
|
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: linear functions f(x) = ax | Statement: [Cauchy functional equation, hasRegularSolutions, linear functions f(x) = ax]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasRegularSolutions Context triple: [Cauchy functional equation, hasRegularSolutions, linear functions f(x) = ax]
-
A.
admitsSolution
Indicates that a problem, system, or situation allows for or possesses at least one valid solution.
-
B.
isExactlySolvable
Indicates that a problem, model, or equation can be solved completely and exactly (without approximation) using known analytical or algorithmic methods.
-
C.
solutionRegularity
chosen
Indicates that a solution possesses a specified degree of smoothness, continuity, or differentiability according to a given regularity criterion.
-
D.
hasFiniteNumberOfSolutions
Indicates that the related equation, system, or problem has only a limited, countable set of distinct solutions, rather than infinitely many or none.
-
E.
isSolutionOf
Indicates that one entity is a correct answer or satisfies the conditions of a given problem, equation, or task.
- 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_69d86da94ccc819083d187f5dc6a123e |
completed | April 10, 2026, 3:25 a.m. |
| NER | Named-entity recognition | batch_69e17d4d08f481909f38b75e3f42d9ab |
completed | April 17, 2026, 12:22 a.m. |
| PD | Predicate disambiguation | batch_69e142d9d8e881909b559a3e3ca21d24 |
completed | April 16, 2026, 8:13 p.m. |
Created at: April 10, 2026, 4:54 a.m.