Triple
T37860535
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | product logarithm |
E944313
|
entity |
| Predicate | definingEquation |
P114498
|
FINISHED |
| Object | W(z) e^{W(z)} = z |
—
|
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: W(z) e^{W(z)} = z | Statement: [product logarithm, definingEquation, W(z) e^{W(z)} = z]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: definingEquation
Context triple: [product logarithm, definingEquation, W(z) e^{W(z)} = z]
-
A.
equationSystem
Indicates that multiple equations are collectively related as a system that must be satisfied simultaneously.
-
B.
mathematicallyExpressedBy
Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
-
C.
mathematicallyDefinedAs
chosen
Indicates that one entity is precisely specified or characterized in terms of another using a formal mathematical definition or expression.
-
D.
functionalEquationType
Indicates the specific category or form of functional equation that characterizes the relationship between the involved functions or variables.
-
E.
equationOfMotionFor
Indicates that one entity specifies the mathematical equation governing the motion or dynamics of another entity.
- 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_69f76eee2f9c8190b1272aa2ee55ebf5 |
completed | May 3, 2026, 3:51 p.m. |
| NER | Named-entity recognition | batch_69ff14d596e88190be5263b7f96a96cd |
completed | May 9, 2026, 11:04 a.m. |
| PD | Predicate disambiguation | batch_69ff13f0208081909369aeb3b77a6b1f |
completed | May 9, 2026, 11:01 a.m. |
Created at: May 3, 2026, 4:19 p.m.