Triple

T4746240
Position Surface form Disambiguated ID Type / Status
Subject Peter Gustav Lejeune Dirichlet E105365 entity
Predicate notableWork P4 FINISHED
Object Dirichlet boundary conditions
Dirichlet boundary conditions are a fundamental type of boundary condition in differential equations and mathematical physics, specifying the values that a solution must take on the boundary of the domain.
E466250 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: Dirichlet boundary conditions | Statement: [Peter Gustav Lejeune Dirichlet, notableWork, Dirichlet boundary conditions]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Dirichlet boundary conditions
Context triple: [Peter Gustav Lejeune Dirichlet, notableWork, Dirichlet boundary conditions]
  • A. Neumann boundary conditions in potential theory
    Neumann boundary conditions in potential theory specify that the normal derivative of a potential function on a boundary is prescribed, modeling situations where flux across the boundary is controlled rather than the potential itself.
  • B. Dirichlet conditions
    Dirichlet conditions are a set of sufficient criteria on a function—such as piecewise continuity and having a finite number of extrema and discontinuities on an interval—that guarantee the convergence of its Fourier series representation.
  • C. Laplace equation
    The Laplace equation is a fundamental second-order partial differential equation widely used in physics and engineering to describe steady-state phenomena such as electrostatics, gravitation, and heat conduction.
  • D. Sommerfeld radiation condition
    The Sommerfeld radiation condition is a mathematical criterion in wave and scattering theory that selects physically meaningful, outward-radiating solutions to the Helmholtz equation at infinity.
  • E. Stefan problem
    The Stefan problem is a classical mathematical model in heat transfer that describes how phase-change boundaries, such as the interface between ice and water, move over time.
  • 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: Dirichlet boundary conditions
Triple: [Peter Gustav Lejeune Dirichlet, notableWork, Dirichlet boundary conditions]
Generated description
Dirichlet boundary conditions are a fundamental type of boundary condition in differential equations and mathematical physics, specifying the values that a solution must take on the boundary of the domain.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Dirichlet boundary conditions
Target entity description: Dirichlet boundary conditions are a fundamental type of boundary condition in differential equations and mathematical physics, specifying the values that a solution must take on the boundary of the domain.
  • A. Neumann boundary conditions in potential theory
    Neumann boundary conditions in potential theory specify that the normal derivative of a potential function on a boundary is prescribed, modeling situations where flux across the boundary is controlled rather than the potential itself.
  • B. Dirichlet conditions
    Dirichlet conditions are a set of sufficient criteria on a function—such as piecewise continuity and having a finite number of extrema and discontinuities on an interval—that guarantee the convergence of its Fourier series representation.
  • C. Laplace equation
    The Laplace equation is a fundamental second-order partial differential equation widely used in physics and engineering to describe steady-state phenomena such as electrostatics, gravitation, and heat conduction.
  • D. Sommerfeld radiation condition
    The Sommerfeld radiation condition is a mathematical criterion in wave and scattering theory that selects physically meaningful, outward-radiating solutions to the Helmholtz equation at infinity.
  • E. Stefan problem
    The Stefan problem is a classical mathematical model in heat transfer that describes how phase-change boundaries, such as the interface between ice and water, move over time.
  • 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_69bd43ef87a48190a5bc3600711aa032 completed March 20, 2026, 12:56 p.m.
NER Named-entity recognition batch_69bd64c3fcb081909b1fe867b4adac8b completed March 20, 2026, 3:16 p.m.
NED1 Entity disambiguation (via context triple) batch_69be3a40bee88190ae97f6d409b51e96 completed March 21, 2026, 6:27 a.m.
NEDg Description generation batch_69be3af59ef88190a5acc493978d412e completed March 21, 2026, 6:30 a.m.
NED2 Entity disambiguation (via description) batch_69be3c8533fc8190b512d3fec34e7e28 completed March 21, 2026, 6:36 a.m.
Created at: March 20, 2026, 1:20 p.m.