Triple

T6236544
Position Surface form Disambiguated ID Type / Status
Subject Laplace transform E139491 entity
Predicate inverseDefinition P21517 FINISHED
Object f(t) = (1/(2πi)) ∫_{γ−i∞}^{γ+i∞} F(s) e^{st} ds — 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: f(t) = (1/(2πi)) ∫_{γ−i∞}^{γ+i∞} F(s) e^{st} ds | Statement: [Laplace transform, inverseDefinition, f(t) = (1/(2πi)) ∫_{γ−i∞}^{γ+i∞} F(s) e^{st} ds]
PD Predicate disambiguation gpt-5-mini-2025-08-07 
Target predicate: inverseDefinition
Context triple: [Laplace transform, inverseDefinition, f(t) = (1/(2πi)) ∫_{γ−i∞}^{γ+i∞} F(s) e^{st} ds]
  • A. opposite
    Indicates that one entity is positioned or oriented directly across from, or in a contrary or reverse relation to, another entity.
  • B. isInverseOf chosen
    Indicates that one relation reverses the direction of another, so that if the original relates A to B, its inverse relates B to A.
  • C. reversed
    Indicates that the direction or order of a previously defined relationship or sequence between entities is inverted.
  • D. inverseImage
    Indicates the mapping from a set of outputs back to all inputs that are related to those outputs under a given function or relation.
  • E. secondDefinition
    Indicates that one entity serves as an alternative or secondary definition or meaning for another entity.
  • 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.