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.