Triple

T28730484
Position Surface form Disambiguated ID Type / Status
Subject Cornu spiral E730640 entity
Predicate hasParametricEquation P97265 FINISHED
Object x(t) = C(t) = ∫₀ᵗ cos(πu²/2) du 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: x(t) = C(t) = ∫₀ᵗ cos(πu²/2) du | Statement: [Cornu spiral, hasParametricEquation, x(t) = C(t) = ∫₀ᵗ cos(πu²/2) du]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasParametricEquation
Context triple: [Cornu spiral, hasParametricEquation, x(t) = C(t) = ∫₀ᵗ cos(πu²/2) du]
  • A. hasPolarEquation
    Indicates that an entity is associated with, or can be represented by, a specific equation expressed in polar coordinates.
  • B. hasEquationForm chosen
    Indicates that one entity is expressed or represented in the form of a specific equation.
  • C. curveEquation
    Indicates that one entity is the mathematical equation that defines or represents the curve described by the other entity.
  • D. curveEquationType
    Indicates the specific mathematical form or classification of the equation that defines a curve.
  • E. isParabolicAt
    Indicates that a function or trajectory exhibits parabolic behavior at a specific point or region.
  • 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_69f043eae0908190b28ce314686247d7 completed April 28, 2026, 5:21 a.m.
NER Named-entity recognition batch_69fd19f791f48190bbb6f6047f9ddc59 completed May 7, 2026, 11:02 p.m.
PD Predicate disambiguation batch_69fd0df365948190bc9bfc7ffd46acd8 completed May 7, 2026, 10:10 p.m.
Created at: April 28, 2026, 5:58 a.m.