Triple

T16574496
Position Surface form Disambiguated ID Type / Status
Subject Larmor formula E402674 entity
Predicate relatedTo P37 FINISHED
Object Liénard formula
The Liénard formula is a relativistic generalization of the Larmor formula that gives the power radiated by an accelerating charged particle moving at arbitrary velocity.
E1221199 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: Liénard formula | Statement: [Larmor formula, relatedTo, Liénard formula]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Liénard formula
Context triple: [Larmor formula, relatedTo, Liénard formula]
  • A. Liouville equation
    The Liouville equation is a fundamental differential equation in statistical mechanics and Hamiltonian dynamics that governs the time evolution of a system’s phase-space probability density.
  • B. d’Alembert’s formula
    d’Alembert’s formula is a classical solution method for the one-dimensional wave equation that expresses the displacement of a vibrating string in terms of its initial shape and velocity.
  • C. Lagrange’s variation of parameters method
    Lagrange’s variation of parameters method is a classical analytical technique in celestial mechanics and differential equations that determines how orbital or system parameters evolve over time under perturbing forces.
  • D. Dyson’s formula
    Dyson’s formula is a key expression in quantum field theory that provides the perturbative expansion of time-ordered exponentials, forming the basis of the Dyson series used to compute interaction effects.
  • E. Volterra series
    The Volterra series is a mathematical framework that generalizes the Taylor series to model nonlinear and time-varying systems, widely used in physics, engineering, and signal processing.
  • 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: Liénard formula
Triple: [Larmor formula, relatedTo, Liénard formula]
Generated description
The Liénard formula is a relativistic generalization of the Larmor formula that gives the power radiated by an accelerating charged particle moving at arbitrary velocity.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Liénard formula
Target entity description: The Liénard formula is a relativistic generalization of the Larmor formula that gives the power radiated by an accelerating charged particle moving at arbitrary velocity.
  • A. Liouville equation
    The Liouville equation is a fundamental differential equation in statistical mechanics and Hamiltonian dynamics that governs the time evolution of a system’s phase-space probability density.
  • B. d’Alembert’s formula
    d’Alembert’s formula is a classical solution method for the one-dimensional wave equation that expresses the displacement of a vibrating string in terms of its initial shape and velocity.
  • C. Lagrange’s variation of parameters method
    Lagrange’s variation of parameters method is a classical analytical technique in celestial mechanics and differential equations that determines how orbital or system parameters evolve over time under perturbing forces.
  • D. Dyson’s formula
    Dyson’s formula is a key expression in quantum field theory that provides the perturbative expansion of time-ordered exponentials, forming the basis of the Dyson series used to compute interaction effects.
  • E. Volterra series
    The Volterra series is a mathematical framework that generalizes the Taylor series to model nonlinear and time-varying systems, widely used in physics, engineering, and signal processing.
  • 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_69d88387363c8190a97a0c942130de97 completed April 10, 2026, 4:58 a.m.
NER Named-entity recognition batch_69e3595bbbbc8190b023f4872908c031 completed April 18, 2026, 10:13 a.m.
NED1 Entity disambiguation (via context triple) batch_6a006eea409c8190808170a0b3f4bd17 completed May 10, 2026, 11:41 a.m.
NEDg Description generation batch_6a006f7ca0dc8190a75d84d9ffbf83e0 completed May 10, 2026, 11:43 a.m.
NED2 Entity disambiguation (via description) batch_6a00705453c081909e8401024e92b5aa completed May 10, 2026, 11:47 a.m.
Created at: April 10, 2026, 5:16 a.m.