Triple

T25063592
Position Surface form Disambiguated ID Type / Status
Subject Laurent series E627725 entity
Predicate coefficientComputation P93936 FINISHED
Object a_n = (1 / 2πi) ∮_C f(z) (z - z₀)^{-n-1} dz 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: a_n = (1 / 2πi) ∮_C f(z) (z - z₀)^{-n-1} dz | Statement: [Laurent series, coefficientComputation, a_n = (1 / 2πi) ∮_C f(z) (z - z₀)^{-n-1} dz]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: coefficientComputation
Context triple: [Laurent series, coefficientComputation, a_n = (1 / 2πi) ∮_C f(z) (z - z₀)^{-n-1} dz]
  • A. coefficientProperty
    Indicates a relationship where one entity serves as a coefficient or scalar factor that quantitatively modifies or characterizes another entity or property.
  • B. coefficientsIn chosen
    Indicates that one entity appears as a coefficient within the mathematical expression or representation of another entity.
  • C. coefficientSystems
    Indicates a relationship where specific numerical or algebraic coefficients are assigned or associated with a system, structure, or set of elements.
  • D. conditionOnCoefficients
    Indicates that one entity’s state, validity, or behavior is determined by or contingent upon the values of certain coefficients.
  • E. correctorSlopeComputation
    Indicates the computation of the slope used in a corrector step within an iterative or numerical correction process.
  • F. None of above.

Provenance (3 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_69e2ff2d71dc8190b4758e57d643cbe4 completed April 18, 2026, 3:49 a.m.
NER Named-entity recognition batch_69f48b9b687881908fd87a2f5fa0b1e7 completed May 1, 2026, 11:16 a.m.
PD Predicate disambiguation batch_69f48060597c8190a4414e4e4fcb1fec completed May 1, 2026, 10:28 a.m.
Created at: April 18, 2026, 6:10 a.m.