Triple

T9456681
Position Surface form Disambiguated ID Type / Status
Subject geometric calculus E228030 entity
Predicate relatedTo P37 FINISHED
Object Clifford analysis
Clifford analysis is a branch of mathematical analysis that generalizes complex analysis to higher dimensions using Clifford algebras and Dirac-type operators.
 E801054 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: Clifford analysis | Statement: [geometric calculus, relatedTo, Clifford analysis]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Clifford analysis
Context triple: [geometric calculus, relatedTo, Clifford analysis]
  • A. Several Complex Variables
    "Several Complex Variables" is a foundational mathematical text that systematically develops the theory of functions of several complex variables and has significantly influenced modern complex analysis.
  • B. Bochner–Martinelli formula
    The Bochner–Martinelli formula is a fundamental integral representation in several complex variables that generalizes the Cauchy integral formula to higher dimensions.
  • C. Complex Analysis
    Complex Analysis is a classic, widely used textbook that provides a rigorous introduction to the theory of functions of a complex variable.
  • D. Calderón–Zygmund theory
    Calderón–Zygmund theory is a branch of harmonic analysis that studies singular integral operators and their boundedness properties on function spaces such as L^p.
  • E. Differential Analysis on Complex Manifolds
    "Differential Analysis on Complex Manifolds" is a foundational mathematical monograph that systematically develops the theory of differential and complex geometry on complex manifolds.
  • 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: Clifford analysis
Triple: [geometric calculus, relatedTo, Clifford analysis]
Generated description
Clifford analysis is a branch of mathematical analysis that generalizes complex analysis to higher dimensions using Clifford algebras and Dirac-type operators.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Clifford analysis
Target entity description: Clifford analysis is a branch of mathematical analysis that generalizes complex analysis to higher dimensions using Clifford algebras and Dirac-type operators.
  • A. Several Complex Variables
    "Several Complex Variables" is a foundational mathematical text that systematically develops the theory of functions of several complex variables and has significantly influenced modern complex analysis.
  • B. Bochner–Martinelli formula
    The Bochner–Martinelli formula is a fundamental integral representation in several complex variables that generalizes the Cauchy integral formula to higher dimensions.
  • C. Complex Analysis
    Complex Analysis is a classic, widely used textbook that provides a rigorous introduction to the theory of functions of a complex variable.
  • D. Calderón–Zygmund theory
    Calderón–Zygmund theory is a branch of harmonic analysis that studies singular integral operators and their boundedness properties on function spaces such as L^p.
  • E. Differential Analysis on Complex Manifolds
    "Differential Analysis on Complex Manifolds" is a foundational mathematical monograph that systematically develops the theory of differential and complex geometry on complex manifolds.
  • 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_69ca843b123881909b0e60028475d12d completed March 30, 2026, 2:10 p.m.
NER Named-entity recognition batch_69cd7f90cf648190ab238ba6b4f03c4f completed April 1, 2026, 8:26 p.m.
NED1 Entity disambiguation (via context triple) batch_69d122849fec81908a8e7363d6bab4ed completed April 4, 2026, 2:39 p.m.
NEDg Description generation batch_69d123f710988190a876fab3a1e226d3 completed April 4, 2026, 2:45 p.m.
NED2 Entity disambiguation (via description) batch_69d1252cd7508190a7d11fce51960290 completed April 4, 2026, 2:50 p.m.
Created at: March 30, 2026, 7:52 p.m.