Triple

T6788425
Position Surface form Disambiguated ID Type / Status
Subject Stokes parameters E155870 entity
Predicate relatedTo P37 FINISHED
Object Mueller calculus
Mueller calculus is a mathematical framework in polarization optics that uses matrix operations to describe how optical elements transform the Stokes parameters of light.
E620786 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: Mueller calculus | Statement: [Stokes parameters, relatedTo, Mueller calculus]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Mueller calculus
Context triple: [Stokes parameters, relatedTo, Mueller calculus]
  • A. Lezioni di calcolo differenziale assoluto
    "Lezioni di calcolo differenziale assoluto" is a foundational mathematical text by Tullio Levi-Civita that systematically develops the theory of absolute differential calculus, now known as tensor calculus, with applications to geometry and physics.
  • B. Moyal product
    The Moyal product is a noncommutative star product used in deformation quantization to encode quantum mechanical operator multiplication directly on phase-space functions.
  • C. Moyal bracket
    The Moyal bracket is a mathematical operation in phase-space quantum mechanics that generalizes the classical Poisson bracket to describe quantum corrections in the evolution of quasiprobability distributions.
  • D. Leibniz rule
    The Leibniz rule is a fundamental property of derivatives stating that the derivative of a product equals the sum of each factor’s derivative times the other factor.
  • E. Méthodes de calcul différentiel absolu et leurs applications
    Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
  • 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: Mueller calculus
Triple: [Stokes parameters, relatedTo, Mueller calculus]
Generated description
Mueller calculus is a mathematical framework in polarization optics that uses matrix operations to describe how optical elements transform the Stokes parameters of light.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Mueller calculus
Target entity description: Mueller calculus is a mathematical framework in polarization optics that uses matrix operations to describe how optical elements transform the Stokes parameters of light.
  • A. Lezioni di calcolo differenziale assoluto
    "Lezioni di calcolo differenziale assoluto" is a foundational mathematical text by Tullio Levi-Civita that systematically develops the theory of absolute differential calculus, now known as tensor calculus, with applications to geometry and physics.
  • B. Moyal product
    The Moyal product is a noncommutative star product used in deformation quantization to encode quantum mechanical operator multiplication directly on phase-space functions.
  • C. Moyal bracket
    The Moyal bracket is a mathematical operation in phase-space quantum mechanics that generalizes the classical Poisson bracket to describe quantum corrections in the evolution of quasiprobability distributions.
  • D. Leibniz rule
    The Leibniz rule is a fundamental property of derivatives stating that the derivative of a product equals the sum of each factor’s derivative times the other factor.
  • E. Méthodes de calcul différentiel absolu et leurs applications
    Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
  • F. None of above. chosen

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_69c6881770fc8190972b2906390380f5 completed March 27, 2026, 1:37 p.m.
NER Named-entity recognition batch_69c6d2aa2e0c8190b994261826ae001d completed March 27, 2026, 6:55 p.m.
NED1 Entity disambiguation (via context triple) batch_69c71a8998408190b741417ce6f21f55 completed March 28, 2026, 12:02 a.m.
NEDg Description generation batch_69c71e2ad0b08190a24f8865b8074b35 completed March 28, 2026, 12:17 a.m.
NED2 Entity disambiguation (via description) batch_69c71e9ec7148190a5f1df4951990f64 completed March 28, 2026, 12:19 a.m.
Created at: March 27, 2026, 2:14 p.m.