Triple
T11478958
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Guillaume de l’Hôpital |
E272092
|
entity |
| Predicate | knownFor |
P22
|
FINISHED |
| Object |
L’Hôpital’s rule
L’Hôpital’s rule is a fundamental calculus technique for evaluating limits that yield indeterminate forms by using derivatives of the numerator and denominator.
|
E825423
|
NE FINISHED |
How this triple was built (4 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: L’Hôpital’s rule | Statement: [Guillaume de l’Hôpital, knownFor, L’Hôpital’s rule]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: L’Hôpital’s rule Context triple: [Guillaume de l’Hôpital, knownFor, L’Hôpital’s rule]
-
A.
Krak de l’Hospital
Krak de l’Hospital is an alternative name for Krak des Chevaliers, the famous medieval Crusader castle in Syria renowned for its massive fortifications and strategic importance.
-
B.
Cauchy’s mean value theorem
Cauchy’s mean value theorem is a fundamental result in real analysis that generalizes the standard mean value theorem by relating the rates of change of two differentiable functions on an interval.
-
C.
Leibniz rule
The Leibniz rule is a fundamental property of derivatives stating that the derivative of a product equals the sum of each factor’s derivative times the other factor.
-
D.
epsilon–delta definition of limit
The epsilon–delta definition of limit is the rigorous formalization of the intuitive notion of a function approaching a value, forming the foundation of modern analysis and calculus.
-
E.
Cauchy’s integral test
Cauchy’s integral test is a convergence criterion in mathematical analysis that determines whether an infinite series converges by relating it to the behavior of a corresponding improper integral.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: L’Hôpital’s rule Triple: [Guillaume de l’Hôpital, knownFor, L’Hôpital’s rule]
Generated description
L’Hôpital’s rule is a fundamental calculus technique for evaluating limits that yield indeterminate forms by using derivatives of the numerator and denominator.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: L’Hôpital’s rule Target entity description: L’Hôpital’s rule is a fundamental calculus technique for evaluating limits that yield indeterminate forms by using derivatives of the numerator and denominator.
-
A.
Krak de l’Hospital
Krak de l’Hospital is an alternative name for Krak des Chevaliers, the famous medieval Crusader castle in Syria renowned for its massive fortifications and strategic importance.
-
B.
Cauchy’s mean value theorem
chosen
Cauchy’s mean value theorem is a fundamental result in real analysis that generalizes the standard mean value theorem by relating the rates of change of two differentiable functions on an interval.
-
C.
Leibniz rule
The Leibniz rule is a fundamental property of derivatives stating that the derivative of a product equals the sum of each factor’s derivative times the other factor.
-
D.
epsilon–delta definition of limit
The epsilon–delta definition of limit is the rigorous formalization of the intuitive notion of a function approaching a value, forming the foundation of modern analysis and calculus.
-
E.
Cauchy’s integral test
Cauchy’s integral test is a convergence criterion in mathematical analysis that determines whether an infinite series converges by relating it to the behavior of a corresponding improper integral.
- F. None of above.
Provenance (5 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_69d6aae0c8d881908a5a360c0be3242e |
completed | April 8, 2026, 7:22 p.m. |
| NER | Named-entity recognition | batch_69d8294f0e948190b2e106beb86e4b2c |
completed | April 9, 2026, 10:33 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69e5e970743c8190a5be4d59d1b941d6 |
completed | April 20, 2026, 8:53 a.m. |
| NEDg | Description generation | batch_69e5f15b37c8819083d9275ceb7b3806 |
completed | April 20, 2026, 9:26 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69e5f89dd4bc8190b0cccab8414a03aa |
completed | April 20, 2026, 9:57 a.m. |
Created at: April 8, 2026, 9:36 p.m.