Triple

T2815317
Position Surface form Disambiguated ID Type / Status
Subject Euler’s formula for complex exponentials E54268 entity
Predicate involvesVariable P38220 FINISHED
Object real angle \theta 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: real angle \theta | Statement: [Euler’s formula for complex exponentials, involvesVariable, real angle \theta]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: involvesVariable
Context triple: [Euler’s formula for complex exponentials, involvesVariable, real angle \theta]
  • A. involves
    Indicates that an entity participates in, is a part of, or is implicated within a particular event, process, or relationship.
  • B. hasVariable chosen
    Indicates that one entity includes, defines, or is associated with a particular variable.
  • C. involvesOperator
    Indicates that a given process, action, or relationship includes or makes use of a specific operator as a participating element.
  • D. hasDependentVariable
    Indicates that one variable’s value is determined by, or functionally depends on, the value(s) of another variable or set of variables.
  • E. hasIndependentVariable
    Indicates that one entity functions as the independent variable that influences or determines another entity in a relationship or experiment.
  • 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_69ab49de0af08190b3da69683be1e728 completed March 6, 2026, 9:40 p.m.
NER Named-entity recognition batch_69abde4d29488190a32461906dd9ea7e completed March 7, 2026, 8:14 a.m.
PD Predicate disambiguation batch_69abdd0740208190911dc9c9546a79ae completed March 7, 2026, 8:08 a.m.
Created at: March 6, 2026, 9:59 p.m.