Triple

T6236542
Position Surface form Disambiguated ID Type / Status
Subject Laplace transform E139491 entity
Predicate regionOfConvergence P14357 FINISHED
Object set of complex s where the integral converges 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: set of complex s where the integral converges | Statement: [Laplace transform, regionOfConvergence, set of complex s where the integral converges]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: regionOfConvergence
Context triple: [Laplace transform, regionOfConvergence, set of complex s where the integral converges]
  • A. convergenceProperty chosen
    Indicates that one entity has a convergence-related characteristic or behavior with respect to another entity, such as approaching a limit or stabilizing under repeated application.
  • B. nontrivialZerosRegion
    Indicates that the nontrivial zeros of a function (typically the Riemann zeta function) lie within a specified region of the complex plane.
  • C. canBeAnalyticallyContinuedTo
    Indicates that one mathematical object (typically a function) can be extended beyond its original domain in a consistent, analytic way that preserves its defining properties.
  • D. domainOfZetaFunction
    Indicates the set of complex numbers for which the zeta function is defined (i.e., where it is analytic or meaningfully evaluable).
  • E. hasOrderOfPoleAtLatticePoints
    Indicates that a function has poles of specified orders at each point of a given lattice in its domain.
  • 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_69c008b0e7ac8190808a59573ee646f3 completed March 22, 2026, 3:20 p.m.
NER Named-entity recognition batch_69c063021258819093a9237041816638 completed March 22, 2026, 9:45 p.m.
PD Predicate disambiguation batch_69c05601de6481909d0880048fd7b49a completed March 22, 2026, 8:50 p.m.
Created at: March 22, 2026, 4:23 p.m.