Triple

T22051310
Position Surface form Disambiguated ID Type / Status
Subject Helmholtz equation E544889 entity
Predicate definedOn P4464 FINISHED
Object Euclidean space NE NERFINISHED

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: Euclidean space | Statement: [Helmholtz equation, definedOn, Euclidean space]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Euclidean space
Context triple: [Helmholtz equation, definedOn, Euclidean space]
  • A. Euclidean space chosen
    Euclidean space is the standard flat, n-dimensional geometric setting of classical geometry and vector calculus, characterized by straight lines, right angles, and the usual distance and dot product.
  • B. Euclidean metric
    The Euclidean metric is the standard distance function on Euclidean space, defined by the square root of the sum of squared coordinate differences between two points.
  • C. Euclidean geometry
    Euclidean geometry is the classical mathematical system that studies flat space and shapes using axioms about points, lines, and angles, forming the foundation of much of traditional mathematics and physics.
  • D. Euclidean group
    The Euclidean group is the group of all distance-preserving transformations of Euclidean space, consisting of rotations, reflections, and translations.
  • E. n-Space
    n-Space was an American video game development studio known for creating handheld and console titles across various popular franchises before closing in 2016.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69e11e32445c8190ab97089b48a130bb completed April 16, 2026, 5:36 p.m.
NER Named-entity recognition batch_69f1283386f081908b70df81f38a5b1c completed April 28, 2026, 9:35 p.m.
Created at: April 16, 2026, 8:26 p.m.