Triple

T11478970
Position Surface form Disambiguated ID Type / Status
Subject Guillaume de l’Hôpital E272092 entity
Predicate notableConcept P201 FINISHED
Object L’Hôpital’s rule for indeterminate limits
L’Hôpital’s rule for indeterminate limits is a fundamental calculus technique that evaluates certain indeterminate forms of limits by relating them to the limits of the derivatives of the functions involved.
E928482 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 for indeterminate limits | Statement: [Guillaume de l’Hôpital, notableConcept, L’Hôpital’s rule for indeterminate limits]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: L’Hôpital’s rule for indeterminate limits
Context triple: [Guillaume de l’Hôpital, notableConcept, L’Hôpital’s rule for indeterminate limits]
  • 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. Euler’s method of rearranging absolutely convergent series
    Euler’s method of rearranging absolutely convergent series is a technique introduced by Leonhard Euler to systematically reorder and manipulate convergent infinite series in order to derive new identities and product expansions, such as those appearing in analytic number theory.
  • C. 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.
  • D. Cauchy–Hadamard theorem
    The Cauchy–Hadamard theorem is a fundamental result in complex analysis that characterizes the radius of convergence of a power series in terms of the growth rate of its coefficients.
  • E. Essai sur l’étude des fonctions données par leur développement de Taylor
    Essai sur l’étude des fonctions données par leur développement de Taylor is a foundational mathematical treatise by Jacques Hadamard that investigates the behavior and properties of functions defined through their Taylor series expansions.
  • 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 for indeterminate limits
Triple: [Guillaume de l’Hôpital, notableConcept, L’Hôpital’s rule for indeterminate limits]
Generated description
L’Hôpital’s rule for indeterminate limits is a fundamental calculus technique that evaluates certain indeterminate forms of limits by relating them to the limits of the derivatives of the functions involved.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: L’Hôpital’s rule for indeterminate limits
Target entity description: L’Hôpital’s rule for indeterminate limits is a fundamental calculus technique that evaluates certain indeterminate forms of limits by relating them to the limits of the derivatives of the functions involved.
  • 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. Euler’s method of rearranging absolutely convergent series
    Euler’s method of rearranging absolutely convergent series is a technique introduced by Leonhard Euler to systematically reorder and manipulate convergent infinite series in order to derive new identities and product expansions, such as those appearing in analytic number theory.
  • C. 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.
  • D. Cauchy–Hadamard theorem
    The Cauchy–Hadamard theorem is a fundamental result in complex analysis that characterizes the radius of convergence of a power series in terms of the growth rate of its coefficients.
  • E. Essai sur l’étude des fonctions données par leur développement de Taylor
    Essai sur l’étude des fonctions données par leur développement de Taylor is a foundational mathematical treatise by Jacques Hadamard that investigates the behavior and properties of functions defined through their Taylor series expansions.
  • F. None of above. chosen

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_69e60434966c81909a277b6a0fd9f358 completed April 20, 2026, 10:47 a.m.
NEDg Description generation batch_69e610a07bf881908de79850edb9576f completed April 20, 2026, 11:40 a.m.
NED2 Entity disambiguation (via description) batch_69e6182b06f88190ab36d976ac989019 completed April 20, 2026, 12:12 p.m.
Created at: April 8, 2026, 9:36 p.m.