Triple

T7921612
Position Surface form Disambiguated ID Type / Status
Subject Jacobi matrix E183956 entity
Predicate spectralMeasure P79796 FINISHED
Object associated orthogonality measure LITERAL FINISHED

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: associated orthogonality measure | Statement: [Jacobi matrix, spectralMeasure, associated orthogonality measure]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: spectralMeasure
Context triple: [Jacobi matrix, spectralMeasure, associated orthogonality measure]
  • A. spectralTheory
    Indicates the relationship between an operator (or matrix) and the structure of its spectrum—its eigenvalues, eigenvectors, and related spectral properties—typically within a functional-analytic or linear-algebraic context.
  • B. spectralProperty
    Indicates a relationship where an entity possesses or is characterized by a specific spectral feature, measurement, or behavior (e.g., in its frequency, wavelength, or energy spectrum).
  • C. measurability
    Indicates that a quantity, property, or outcome can be defined, quantified, or assessed using a consistent measurement framework.
  • D. hasLebesgueMeasure
    Indicates that a set is assigned a specific value by the Lebesgue measure, representing its "size" in the sense of measure theory.
  • E. spectralResolution
    Indicates the fineness with which a system can distinguish or separate different wavelengths or frequencies within a spectrum.
  • F. None of above. chosen

Provenance (4 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_69ca828efbe48190bd48482650182e79 completed March 30, 2026, 2:02 p.m.
NER Named-entity recognition batch_69cb3a9499cc8190b6bd81f4625c77ab completed March 31, 2026, 3:08 a.m.
PD Predicate disambiguation batch_69cae9316e98819080be7bf1a6ff92f1 completed March 30, 2026, 9:20 p.m.
PDg Predicate description generation batch_69caf7882b048190baa333af9f698590 completed March 30, 2026, 10:22 p.m.
Created at: March 30, 2026, 5:06 p.m.