Triple

T7603295
Position Surface form Disambiguated ID Type / Status
Subject Léon Brillouin E180036 entity
Predicate notableConcept P201 FINISHED
Object Brillouin function
The Brillouin function is a mathematical function in statistical mechanics that describes the magnetization of a paramagnetic material as a function of temperature and applied magnetic field.
E675970 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: Brillouin function | Statement: [Léon Brillouin, notableConcept, Brillouin function]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Brillouin function
Context triple: [Léon Brillouin, notableConcept, Brillouin function]
  • A. Curie constant
    The Curie constant is a material-specific proportionality factor that characterizes how a paramagnetic substance’s magnetic susceptibility varies inversely with temperature.
  • B. Beta function
    The Beta function is a special function in mathematics, closely related to the Gamma function, that arises in calculus, probability theory, and complex analysis, particularly in evaluating integrals and expressing various identities.
  • C. Curie–Weiss law
    The Curie–Weiss law is a refinement of Curie’s law in magnetism that accounts for magnetic interactions between atoms by introducing a characteristic temperature, improving the description of paramagnetic susceptibility near ferromagnetic phase transitions.
  • D. Du Bois-Reymond function
    The Du Bois-Reymond function is a classic example of a continuous but nowhere differentiable function, illustrating pathological behavior in real analysis.
  • E. Boltzmann distribution
    The Boltzmann distribution is a fundamental probability distribution in statistical mechanics that describes how particles or states are populated over different energy levels at thermal equilibrium.
  • 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: Brillouin function
Triple: [Léon Brillouin, notableConcept, Brillouin function]
Generated description
The Brillouin function is a mathematical function in statistical mechanics that describes the magnetization of a paramagnetic material as a function of temperature and applied magnetic field.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Brillouin function
Target entity description: The Brillouin function is a mathematical function in statistical mechanics that describes the magnetization of a paramagnetic material as a function of temperature and applied magnetic field.
  • A. Curie constant
    The Curie constant is a material-specific proportionality factor that characterizes how a paramagnetic substance’s magnetic susceptibility varies inversely with temperature.
  • B. Beta function
    The Beta function is a special function in mathematics, closely related to the Gamma function, that arises in calculus, probability theory, and complex analysis, particularly in evaluating integrals and expressing various identities.
  • C. Curie–Weiss law
    The Curie–Weiss law is a refinement of Curie’s law in magnetism that accounts for magnetic interactions between atoms by introducing a characteristic temperature, improving the description of paramagnetic susceptibility near ferromagnetic phase transitions.
  • D. Du Bois-Reymond function
    The Du Bois-Reymond function is a classic example of a continuous but nowhere differentiable function, illustrating pathological behavior in real analysis.
  • E. Boltzmann distribution
    The Boltzmann distribution is a fundamental probability distribution in statistical mechanics that describes how particles or states are populated over different energy levels at thermal equilibrium.
  • 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_69c69f3567008190ab01d2ca7b53584a completed March 27, 2026, 3:16 p.m.
NER Named-entity recognition batch_69c6f9fa633081909660f653f5b073cd completed March 27, 2026, 9:43 p.m.
NED1 Entity disambiguation (via context triple) batch_69c8684a98fc8190b3d0568f13ccd123 completed March 28, 2026, 11:46 p.m.
NEDg Description generation batch_69c8691bf25881909585bb04404f90da completed March 28, 2026, 11:49 p.m.
NED2 Entity disambiguation (via description) batch_69c8698f70a081909633b3b6d7fd45e1 completed March 28, 2026, 11:51 p.m.
Created at: March 27, 2026, 3:54 p.m.