Triple

T58874
Position Surface form Disambiguated ID Type / Status
Subject Feynman sprinkler problem E1165 entity
Predicate relatedConcept P37 FINISHED
Object Navier–Stokes equations
The Navier–Stokes equations are fundamental partial differential equations in fluid mechanics that describe how the velocity field of a fluid evolves under forces like pressure and viscosity.
E5106 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: Navier–Stokes equations | Statement: [Feynman sprinkler problem, relatedConcept, Navier–Stokes equations]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Navier–Stokes equations
Context triple: [Feynman sprinkler problem, relatedConcept, Navier–Stokes equations]
  • A. Division of Fluid Dynamics
    The Division of Fluid Dynamics is a specialized unit of the American Physical Society that promotes research, collaboration, and dissemination of knowledge in the field of fluid mechanics and related phenomena.
  • B. On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat
    "On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat" is Albert Einstein’s 1905 paper that provided a theoretical explanation of Brownian motion, offering strong evidence for the existence of atoms and molecules.
  • C. Feynman sprinkler problem
    The Feynman sprinkler problem is a famous physics thought experiment that examines how a submerged, water-aspirating sprinkler would move, highlighting subtleties in fluid dynamics and momentum conservation.
  • D. Feynman–Kac formula
    The Feynman–Kac formula is a fundamental result connecting solutions of certain partial differential equations with expectations over stochastic processes, forming a bridge between quantum mechanics, probability theory, and mathematical finance.
  • E. Einstein field equations
    The Einstein field equations are the core mathematical framework of general relativity, relating the curvature of spacetime to the distribution of matter and energy.
  • 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: Navier–Stokes equations
Triple: [Feynman sprinkler problem, relatedConcept, Navier–Stokes equations]
Generated description
The Navier–Stokes equations are fundamental partial differential equations in fluid mechanics that describe how the velocity field of a fluid evolves under forces like pressure and viscosity.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Navier–Stokes equations
Target entity description: The Navier–Stokes equations are fundamental partial differential equations in fluid mechanics that describe how the velocity field of a fluid evolves under forces like pressure and viscosity.
  • A. Division of Fluid Dynamics
    The Division of Fluid Dynamics is a specialized unit of the American Physical Society that promotes research, collaboration, and dissemination of knowledge in the field of fluid mechanics and related phenomena.
  • B. On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat
    "On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat" is Albert Einstein’s 1905 paper that provided a theoretical explanation of Brownian motion, offering strong evidence for the existence of atoms and molecules.
  • C. Feynman sprinkler problem
    The Feynman sprinkler problem is a famous physics thought experiment that examines how a submerged, water-aspirating sprinkler would move, highlighting subtleties in fluid dynamics and momentum conservation.
  • D. Feynman–Kac formula
    The Feynman–Kac formula is a fundamental result connecting solutions of certain partial differential equations with expectations over stochastic processes, forming a bridge between quantum mechanics, probability theory, and mathematical finance.
  • E. Einstein field equations
    The Einstein field equations are the core mathematical framework of general relativity, relating the curvature of spacetime to the distribution of matter and energy.
  • 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_69a24a552ef88190a0df287d68c65cba completed Feb. 28, 2026, 1:52 a.m.
NER Named-entity recognition batch_69a24ec5f46081909f3ba0b25190282b completed Feb. 28, 2026, 2:11 a.m.
NED1 Entity disambiguation (via context triple) batch_69a2554a9e70819099ab14df3da5e403 completed Feb. 28, 2026, 2:39 a.m.
NEDg Description generation batch_69a2569d3d008190ad1546d18ba30375 completed Feb. 28, 2026, 2:44 a.m.
NED2 Entity disambiguation (via description) batch_69a2573414808190bbab27e1f48479a5 completed Feb. 28, 2026, 2:47 a.m.
Created at: Feb. 28, 2026, 1:55 a.m.