Triple

T9843626
Position Surface form Disambiguated ID Type / Status
Subject Cauchy–Riemann equations E239285 entity
Predicate mathematicalContext P43795 FINISHED
Object functions from open subsets of ℂ to ℂ LITERAL FINISHED

Named-entity recognition

Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's LITERAL type shown above.

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: functions from open subsets of ℂ to ℂ | Statement: [Cauchy–Riemann equations, mathematicalContext, functions from open subsets of ℂ to ℂ]

Disambiguation candidates (1 decision)

The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.

PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: mathematicalContext
Context triple: [Cauchy–Riemann equations, mathematicalContext, functions from open subsets of ℂ to ℂ]
  • A. mathematicallyUses
    Indicates that one entity employs or applies another entity within a mathematical context, such as in a formula, proof, computation, or theoretical framework.
  • B. mathematicalObject chosen
    Indicates that the subject is a mathematical entity or construct, such as a number, function, set, or structure, within a mathematical context.
  • C. mathematicallyFormulatedIn
    Indicates that something is expressed, defined, or represented using mathematical formulas, equations, or formal mathematical structures within a given context.
  • D. supportsMathematicsTopic
    Indicates that one entity provides assistance, resources, or reinforcement for understanding or working with a particular mathematics topic.
  • E. hasMathematicalProperty
    Indicates that one entity possesses or exhibits a specific mathematical property or characteristic.
  • F. None of above.

Provenance (3 batches)

Stage Batch ID Job type Status
creating batch_69ca84e3f0c48190ada72a65ebd50efd elicitation completed
NER batch_69cdb35c8e348190aa090c71bf6f30eb ner completed
PD batch_69cd03e57cac8190914bb5ae608a6e0e pd completed
Created at: March 30, 2026, 8:33 p.m.