Triple

T22191806
Position Surface form Disambiguated ID Type / Status
Subject May–Wigner stability theorem E548444 entity
Predicate usesConcept P531 FINISHED
Object Jacobian matrix — NE NERFINISHED

How this triple was built (2 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: Jacobian matrix | Statement: [May–Wigner stability theorem, usesConcept, Jacobian matrix]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Jacobian matrix
Context triple: [May–Wigner stability theorem, usesConcept, Jacobian matrix]
  • A. Jacobian matrix chosen
    The Jacobian matrix is a matrix of all first-order partial derivatives of a vector-valued function, fundamental in multivariable calculus for describing how the function locally transforms space.
  • B. Jacobi matrix
    A Jacobi matrix is a tridiagonal matrix, often symmetric, that arises in numerical analysis and mathematical physics, particularly in the study of orthogonal polynomials and eigenvalue problems.
  • C. Jacobian determinant
    The Jacobian determinant is a scalar value derived from the Jacobian matrix that measures how a multivariable function locally scales and distorts volume under a change of variables.
  • D. Jacobi bracket
    The Jacobi bracket is a bilinear operation generalizing the Poisson bracket in differential geometry, central to the theory of Jacobi manifolds and Hamiltonian systems.
  • E. Jacobi
    Jacobi is a German surname most famously associated with the 19th-century mathematician Carl Gustav Jacob Jacobi, known for his foundational work in elliptic functions and number theory.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69e11e3e0c7c8190b30d278845e2497e completed April 16, 2026, 5:37 p.m.
NER Named-entity recognition batch_69f12ae49ec881908fa42446b19e3f2d completed April 28, 2026, 9:47 p.m.
Created at: April 16, 2026, 8:35 p.m.