Triple

T4552113
Position Surface form Disambiguated ID Type / Status
Subject Inequalities E120388 entity
Predicate containsTopic P24066 FINISHED
Object Cauchy–Schwarz inequality E239290 NE FINISHED

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: Cauchy–Schwarz inequality
Context triple: [Inequalities, containsTopic, Cauchy–Schwarz inequality]
  • A. Cauchy–Schwarz inequality chosen
    The Cauchy–Schwarz inequality is a fundamental result in linear algebra and analysis that bounds the inner product of two vectors by the product of their magnitudes, underpinning many concepts in geometry, probability, and functional analysis.
  • B. Minkowski inequality
    The Minkowski inequality is a fundamental result in functional analysis and measure theory that generalizes the triangle inequality to L^p spaces, providing a key tool for studying norms and integrable functions.
  • C. Hölder inequality
    Hölder inequality is a fundamental result in mathematical analysis that generalizes the Cauchy–Schwarz inequality and provides bounds for integrals or sums of products in Lᵖ spaces.
  • D. Hadamard inequality
    The Hadamard inequality is a fundamental result in linear algebra and analysis that bounds the absolute value of a determinant by the product of the Euclidean norms of its row or column vectors.
  • E. Young's inequality
    Young's inequality is a fundamental result in mathematical analysis that provides an upper bound for the product of two nonnegative numbers in terms of their powers, playing a key role in convex analysis and functional inequalities.
  • 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_69bd4636f1648190a701445c2fcd9c17 elicitation completed
NER batch_69bd57f7b9748190af29d02fc77b02e0 ner completed
NED1 batch_69bdb95b01b0819094a600752e41aa09 ned_source_triple completed
Created at: March 20, 2026, 1:09 p.m.