Triple
T37860551
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | product logarithm |
E944313
|
entity |
| Predicate | derivativeFormula |
P189558
|
FINISHED |
| Object | W'(z) = W(z) / (z (1 + W(z))) for z ≠ 0, -1/e |
—
|
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) = W(z) / (z (1 + W(z))) for z ≠ 0, -1/e | Statement: [product logarithm, derivativeFormula, W'(z) = W(z) / (z (1 + W(z))) for z ≠ 0, -1/e]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: derivativeFormula Context triple: [product logarithm, derivativeFormula, W'(z) = W(z) / (z (1 + W(z))) for z ≠ 0, -1/e]
-
A.
derivativeForm
Indicates that one entity is a form derived from, based on, or obtained by modification of another entity.
-
B.
derivativeForPositiveInput
Indicates that the derivative of a function is being evaluated specifically for positive input values of its argument.
-
C.
derivativeDistribution
Indicates a relationship where one entity is a financial derivative whose value or payoff is contractually based on, or distributed according to, the performance or characteristics of another underlying entity.
-
D.
derivativeAtZero
Indicates that one quantity is the derivative (rate of change) of another quantity evaluated specifically at the point where the input equals zero.
-
E.
formulaUsed
Indicates that a particular formula is employed or applied in performing a calculation, derivation, or reasoning step.
- 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_69f76eee2f9c8190b1272aa2ee55ebf5 |
completed | May 3, 2026, 3:51 p.m. |
| NER | Named-entity recognition | batch_69fbc36ce1f88190a7fa1656b714e107 |
completed | May 6, 2026, 10:40 p.m. |
| PD | Predicate disambiguation | batch_69fbbd166a488190b1bf9316b0790801 |
completed | May 6, 2026, 10:13 p.m. |
| PDg | Predicate description generation | batch_69fbc36bcac48190a726b40442c094d1 |
completed | May 6, 2026, 10:40 p.m. |
Created at: May 3, 2026, 4:19 p.m.