Triple
T6939217
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Laplace law of error |
E160629
|
entity |
| Predicate | momentGeneratingFunction |
P27171
|
FINISHED |
| Object | M(t) = exp(μ t) / (1 - b^2 t^2) for |t| < 1/b |
—
|
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: M(t) = exp(μ t) / (1 - b^2 t^2) for |t| < 1/b | Statement: [Laplace law of error, momentGeneratingFunction, M(t) = exp(μ t) / (1 - b^2 t^2) for |t| < 1/b]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: momentGeneratingFunction Context triple: [Laplace law of error, momentGeneratingFunction, M(t) = exp(μ t) / (1 - b^2 t^2) for |t| < 1/b]
-
A.
hasMomentGeneratingFunction
chosen
Indicates that a random variable or probability distribution possesses a well-defined moment generating function characterizing all of its moments.
-
B.
ctangleFunction
Indicates a relationship where a function is implemented or documented using the CWEB/ctangle literate programming system, linking the function to its ctangle-based source.
-
C.
mathematicallyExpressedBy
Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
-
D.
hasDistributionFunction
Indicates that an entity is associated with a specific distribution function that characterizes how its values or occurrences are probabilistically or statistically distributed.
-
E.
geometricFunction
Indicates a relationship where one entity serves as a geometric transformation or operation that, when applied, produces or modifies another geometric 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_69c6884f3db4819080ad65da69386206 |
completed | March 27, 2026, 1:38 p.m. |
| NER | Named-entity recognition | batch_69c6e0c74fe48190aeaa018631e52ef6 |
completed | March 27, 2026, 7:55 p.m. |
| PD | Predicate disambiguation | batch_69c6d7bd5a388190a57a96d925696ff6 |
completed | March 27, 2026, 7:17 p.m. |
Created at: March 27, 2026, 2:28 p.m.