Triple

T2815307
Position Surface form Disambiguated ID Type / Status
Subject Euler–Lagrange equation E54267 entity
Predicate generalizes P2372 FINISHED
Object Fermat’s principle in optics E141903 NE 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: Fermat’s principle in optics | Statement: [Euler–Lagrange equation, generalizes, Fermat’s principle in optics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Fermat’s principle in optics
Context triple: [Euler–Lagrange equation, generalizes, Fermat’s principle in optics]
  • A. Fermat’s principle of least time chosen
    Fermat’s principle of least time is a fundamental variational principle in optics stating that light follows the path that takes the least time, from which many laws of geometrical optics can be derived.
  • B. Principles of Optics
    Principles of Optics is a seminal textbook that rigorously develops the theory of electromagnetic waves and optical phenomena, profoundly shaping modern physical optics.
  • C. Kirchhoff diffraction theory
    Kirchhoff diffraction theory is a classical wave optics framework that models light propagation and diffraction by treating wavefronts as superpositions of secondary spherical waves emitted from an aperture.
  • D. Newtonian optics
    Newtonian optics is the branch of physics developed by Isaac Newton that explains light primarily as a stream of particles to account for reflection, refraction, and color phenomena.
  • E. Huygens–Fresnel principle
    The Huygens–Fresnel principle is a fundamental concept in wave optics that explains how every point on a wavefront acts as a source of secondary wavelets whose interference determines the wave’s subsequent propagation and diffraction.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

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.
NED1 Entity disambiguation (via context triple) batch_69afce9f964081909e422aaf1f026dbb completed March 10, 2026, 7:56 a.m.
Created at: March 6, 2026, 9:59 p.m.