Triple
T9843917
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy–Euler equation |
E239291
|
entity |
| Predicate | hasSolutionForm |
P4453
|
FINISHED |
| Object | y = C1 x^{m1} + C2 x^{m2} (distinct real roots) |
—
|
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: y = C1 x^{m1} + C2 x^{m2} (distinct real roots) | Statement: [Cauchy–Euler equation, hasSolutionForm, y = C1 x^{m1} + C2 x^{m2} (distinct real roots)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasSolutionForm
Context triple: [Cauchy–Euler equation, hasSolutionForm, y = C1 x^{m1} + C2 x^{m2} (distinct real roots)]
-
A.
admitsSolution
Indicates that a problem, system, or situation allows for or possesses at least one valid solution.
-
B.
isSolutionOf
Indicates that one entity is a correct answer or satisfies the conditions of a given problem, equation, or task.
-
C.
hasClosedForm
Indicates that a mathematical expression, function, or solution can be written in a finite, explicit form using a standard set of operations and well-known functions.
-
D.
providesSolutionFor
Indicates that one entity offers or supplies a remedy, answer, or resolution to a problem, need, or issue associated with another entity.
-
E.
solutionType
chosen
Indicates the specific category or kind of solution associated with an entity or problem.
- 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_69ca84e3f0c48190ada72a65ebd50efd |
completed | March 30, 2026, 2:12 p.m. |
| NER | Named-entity recognition | batch_69cdb35dc29c819080203be5b904dc9d |
completed | April 2, 2026, 12:07 a.m. |
| PD | Predicate disambiguation | batch_69cd03e57cac8190914bb5ae608a6e0e |
completed | April 1, 2026, 11:39 a.m. |
Created at: March 30, 2026, 8:33 p.m.