Triple

T5772915
Position Surface form Disambiguated ID Type / Status
Subject Kirchhoff diffraction theory E127369 entity
Predicate usesConcept P531 FINISHED
Object Kirchhoff integral theorem
The Kirchhoff integral theorem is a fundamental result in wave theory that expresses the value of a wave field inside a region in terms of its values and normal derivatives on the region’s boundary, forming the basis for many diffraction and propagation analyses.
E127369 NE FINISHED

How this triple was built (4 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: Kirchhoff integral theorem | Statement: [Kirchhoff diffraction theory, usesConcept, Kirchhoff integral theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Kirchhoff integral theorem
Context triple: [Kirchhoff diffraction theory, usesConcept, Kirchhoff integral theorem]
  • A. 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.
  • B. Etherington reciprocity theorem
    The Etherington reciprocity theorem is a fundamental result in relativistic cosmology that links luminosity distance and angular diameter distance, underpinning observational tests of the expanding universe.
  • C. 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.
  • D. Fresnel diffraction theory
    Fresnel diffraction theory is a wave-optics framework that describes how light diffracts when source or observation distances are finite, using near-field approximations derived from the Huygens–Fresnel principle.
  • E. Fresnel integrals
    Fresnel integrals are special functions in mathematics that describe the complex oscillatory behavior of wave diffraction and interference, particularly in optics.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Kirchhoff integral theorem
Triple: [Kirchhoff diffraction theory, usesConcept, Kirchhoff integral theorem]
Generated description
The Kirchhoff integral theorem is a fundamental result in wave theory that expresses the value of a wave field inside a region in terms of its values and normal derivatives on the region’s boundary, forming the basis for many diffraction and propagation analyses.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Kirchhoff integral theorem
Target entity description: The Kirchhoff integral theorem is a fundamental result in wave theory that expresses the value of a wave field inside a region in terms of its values and normal derivatives on the region’s boundary, forming the basis for many diffraction and propagation analyses.
  • A. Kirchhoff diffraction theory chosen
    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.
  • B. Etherington reciprocity theorem
    The Etherington reciprocity theorem is a fundamental result in relativistic cosmology that links luminosity distance and angular diameter distance, underpinning observational tests of the expanding universe.
  • C. 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.
  • D. Fresnel diffraction theory
    Fresnel diffraction theory is a wave-optics framework that describes how light diffracts when source or observation distances are finite, using near-field approximations derived from the Huygens–Fresnel principle.
  • E. Fresnel integrals
    Fresnel integrals are special functions in mathematics that describe the complex oscillatory behavior of wave diffraction and interference, particularly in optics.
  • F. None of above.

Provenance (5 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_69c00834f6308190851b0abeddd8ed7e completed March 22, 2026, 3:18 p.m.
NER Named-entity recognition batch_69c029adda188190a5c26c363614145f completed March 22, 2026, 5:41 p.m.
NED1 Entity disambiguation (via context triple) batch_69c07e686ad88190b34e5e94145b44dc completed March 22, 2026, 11:42 p.m.
NEDg Description generation batch_69c08d238384819089104f5c778ec315 completed March 23, 2026, 12:45 a.m.
NED2 Entity disambiguation (via description) batch_69c08dac9eec8190996f6c537777801b completed March 23, 2026, 12:47 a.m.
Created at: March 22, 2026, 3:50 p.m.