Triple

T4927350
Position Surface form Disambiguated ID Type / Status
Subject Weierstrass M-test E110608 entity
Predicate hasAlternativeName P39 FINISHED
Object Weierstrass uniform convergence test E110608 NE FINISHED

Named-entity recognition

Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's NE 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: Weierstrass uniform convergence test | Statement: [Weierstrass M-test, hasAlternativeName, Weierstrass uniform convergence test]

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.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Weierstrass uniform convergence test
Context triple: [Weierstrass M-test, hasAlternativeName, Weierstrass uniform convergence test]
  • A. Weierstrass M-test chosen
    The Weierstrass M-test is a criterion in real and complex analysis that provides a sufficient condition for the uniform convergence of a series of functions by comparing it to a convergent series of bounding constants.
  • B. Weierstrass approximation theorem
    The Weierstrass approximation theorem is a fundamental result in real analysis stating that any continuous function on a closed interval can be uniformly approximated by polynomials.
  • C. Cauchy convergence criterion
    The Cauchy convergence criterion is a fundamental concept in mathematical analysis that characterizes convergence of sequences (and series) by requiring that their terms become arbitrarily close to each other beyond some index.
  • D. Dirichlet test
    The Dirichlet test is a criterion in mathematical analysis that provides sufficient conditions for the convergence of certain infinite series, particularly those involving oscillatory terms.
  • E. Cauchy condensation test
    The Cauchy condensation test is a convergence criterion in mathematical analysis that determines whether an infinite series with positive, nonincreasing terms converges by comparing it to a related series formed by powers of two.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 batches)

Stage Batch ID Job type Status
creating batch_69bd4415190c8190817bee7ec9f9f944 elicitation completed
NER batch_69bd7036d8e88190bc4be2975160da23 ner completed
NED1 batch_69be77ac88148190a51fa2e9085d6897 ned_source_triple completed
Created at: March 20, 2026, 1:30 p.m.