Triple

T9843844
Position Surface form Disambiguated ID Type / Status
Subject Cauchy–Schwarz inequality E239290 entity
Predicate alsoKnownAs P39 FINISHED
Object Cauchy–Bunyakovsky–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–Bunyakovsky–Schwarz inequality
Context triple: [Cauchy–Schwarz inequality, alsoKnownAs, Cauchy–Bunyakovsky–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. Bessel inequality
    Bessel inequality is a fundamental result in functional analysis that bounds the sum of squared Fourier coefficients of a vector in an inner product space by the square of its norm.
  • E. 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.
  • 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_69ca84e3f0c48190ada72a65ebd50efd elicitation completed
NER batch_69cdb35dc29c819080203be5b904dc9d ner completed
NED1 batch_69d20d4079048190976eb198f8ef62f0 ned_source_triple completed
Created at: March 30, 2026, 8:33 p.m.