Triple

T12282679
Position Surface form Disambiguated ID Type / Status
Subject Malliavin calculus E292751 entity
Predicate extends P1244 FINISHED
Object differential calculus
Differential calculus is a branch of mathematics that studies how functions change, primarily through the concepts of derivatives and rates of change.
E974245 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: differential calculus | Statement: [Malliavin calculus, extends, differential calculus]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: differential calculus
Context triple: [Malliavin calculus, extends, differential calculus]
  • A. Dini derivative
    The Dini derivative is a generalized notion of derivative that captures one-sided limiting rates of change of a function, even at points where the classical derivative may not exist.
  • B. Calc
    Calc is the spreadsheet application of the LibreOffice suite, used for creating, editing, and analyzing data in tabular form.
  • C. Lezioni di calcolo differenziale assoluto
    "Lezioni di calcolo differenziale assoluto" is a foundational mathematical text by Tullio Levi-Civita that systematically develops the theory of absolute differential calculus, now known as tensor calculus, with applications to geometry and physics.
  • D. Méthodes de calcul différentiel absolu et leurs applications
    Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
  • E. Mueller calculus
    Mueller calculus is a mathematical framework in polarization optics that uses matrix operations to describe how optical elements transform the Stokes parameters of light.
  • 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: differential calculus
Triple: [Malliavin calculus, extends, differential calculus]
Generated description
Differential calculus is a branch of mathematics that studies how functions change, primarily through the concepts of derivatives and rates of change.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: differential calculus
Target entity description: Differential calculus is a branch of mathematics that studies how functions change, primarily through the concepts of derivatives and rates of change.
  • A. Dini derivative
    The Dini derivative is a generalized notion of derivative that captures one-sided limiting rates of change of a function, even at points where the classical derivative may not exist.
  • B. Calc
    Calc is the spreadsheet application of the LibreOffice suite, used for creating, editing, and analyzing data in tabular form.
  • C. Lezioni di calcolo differenziale assoluto
    "Lezioni di calcolo differenziale assoluto" is a foundational mathematical text by Tullio Levi-Civita that systematically develops the theory of absolute differential calculus, now known as tensor calculus, with applications to geometry and physics.
  • D. Méthodes de calcul différentiel absolu et leurs applications
    Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
  • E. Mueller calculus
    Mueller calculus is a mathematical framework in polarization optics that uses matrix operations to describe how optical elements transform the Stokes parameters of light.
  • 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_69d6ab690ad081908c0ed3870ec82d53 completed April 8, 2026, 7:24 p.m.
NER Named-entity recognition batch_69d91cf2b09c81908a11581d33f65be0 completed April 10, 2026, 3:53 p.m.
NED1 Entity disambiguation (via context triple) batch_69f61e70dec8819098199fbb54d888c1 completed May 2, 2026, 3:55 p.m.
NEDg Description generation batch_69f61f5bc1fc8190af9d74acc307ebe1 completed May 2, 2026, 3:59 p.m.
NED2 Entity disambiguation (via description) batch_69f6203ef5008190af9103460b096cff completed May 2, 2026, 4:03 p.m.
Created at: April 8, 2026, 9:52 p.m.