Triple
T2815312
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Euler’s formula for complex exponentials |
E54268
|
entity |
| Predicate | hasExpression |
P43783
|
FINISHED |
| Object | e^{i\theta} = \cos\theta + i\sin\theta |
—
|
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: e^{i\theta} = \cos\theta + i\sin\theta | Statement: [Euler’s formula for complex exponentials, hasExpression, e^{i\theta} = \cos\theta + i\sin\theta]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasExpression
Context triple: [Euler’s formula for complex exponentials, hasExpression, e^{i\theta} = \cos\theta + i\sin\theta]
-
A.
isPartOfExpression
Indicates that something functions as a component or constituent element within a larger expression.
-
B.
entersExpression
Indicates that one entity moves into, penetrates, or passes through another entity or defined space.
-
C.
hasVariable
Indicates that one entity includes, defines, or is associated with a particular variable.
-
D.
hasCondition
Indicates that an entity possesses, experiences, or is affected by a particular condition or state.
-
E.
coordinateExpression
Indicates that one expression is syntactically or semantically coordinated with another, typically as part of a compound structure (e.g., joined by "and" or "or").
- F. None of above. chosen
Provenance (4 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_69ab49de0af08190b3da69683be1e728 |
completed | March 6, 2026, 9:40 p.m. |
| NER | Named-entity recognition | batch_69abde4d29488190a32461906dd9ea7e |
completed | March 7, 2026, 8:14 a.m. |
| PD | Predicate disambiguation | batch_69abdd0740208190911dc9c9546a79ae |
completed | March 7, 2026, 8:08 a.m. |
| PDg | Predicate description generation | batch_69abde0f4c648190b9812e64f30c39da |
completed | March 7, 2026, 8:13 a.m. |
Created at: March 6, 2026, 9:59 p.m.