Triple

T6293471
Position Surface form Disambiguated ID Type / Status
Subject Bernoulli family E141074 entity
Predicate knownFor P22 FINISHED
Object Bernoulli differential equations
Bernoulli differential equations are a class of first-order nonlinear differential equations that can be transformed into linear form and are fundamental in the study of ordinary differential equations.
E582378 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: Bernoulli differential equations | Statement: [Bernoulli family, knownFor, Bernoulli differential equations]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Bernoulli differential equations
Context triple: [Bernoulli family, knownFor, Bernoulli differential equations]
  • A. Cauchy–Euler equation
    The Cauchy–Euler equation is a type of linear ordinary differential equation with variable coefficients that often appears in problems with power-law or scale-invariant behavior.
  • B. Fuchsian differential equation
    A Fuchsian differential equation is a type of linear ordinary differential equation characterized by having only regular singular points, extensively studied in complex analysis and the theory of special functions.
  • C. ODE
    ODE is the state agency responsible for overseeing public education and implementing education policy in Oregon.
  • D. Bernoulli equation
    The Bernoulli equation is a fundamental principle in fluid dynamics that relates pressure, velocity, and elevation in steady, incompressible, inviscid flow along a streamline.
  • E. Bernoulli
    Bernoulli is the surname of a prominent Swiss family of mathematicians and scientists, including figures such as Jakob, Johann, and Daniel Bernoulli, who made foundational contributions to calculus, probability, and fluid dynamics.
  • 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: Bernoulli differential equations
Triple: [Bernoulli family, knownFor, Bernoulli differential equations]
Generated description
Bernoulli differential equations are a class of first-order nonlinear differential equations that can be transformed into linear form and are fundamental in the study of ordinary differential equations.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Bernoulli differential equations
Target entity description: Bernoulli differential equations are a class of first-order nonlinear differential equations that can be transformed into linear form and are fundamental in the study of ordinary differential equations.
  • A. Cauchy–Euler equation
    The Cauchy–Euler equation is a type of linear ordinary differential equation with variable coefficients that often appears in problems with power-law or scale-invariant behavior.
  • B. Fuchsian differential equation
    A Fuchsian differential equation is a type of linear ordinary differential equation characterized by having only regular singular points, extensively studied in complex analysis and the theory of special functions.
  • C. ODE
    ODE is the state agency responsible for overseeing public education and implementing education policy in Oregon.
  • D. Bernoulli equation
    The Bernoulli equation is a fundamental principle in fluid dynamics that relates pressure, velocity, and elevation in steady, incompressible, inviscid flow along a streamline.
  • E. Bernoulli
    Bernoulli is the surname of a prominent Swiss family of mathematicians and scientists, including figures such as Jakob, Johann, and Daniel Bernoulli, who made foundational contributions to calculus, probability, and fluid dynamics.
  • 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_69c008cdf2ac8190bb640c94478fb4ed completed March 22, 2026, 3:20 p.m.
NER Named-entity recognition batch_69c0642017588190b6c99c685653f6c2 completed March 22, 2026, 9:50 p.m.
NED1 Entity disambiguation (via context triple) batch_69c51988f1388190b36212b0d9756863 completed March 26, 2026, 11:33 a.m.
NEDg Description generation batch_69c51e7ce1b4819090b5bef16a9ea95e completed March 26, 2026, 11:54 a.m.
NED2 Entity disambiguation (via description) batch_69c59285696c819099c31868f6b758dc completed March 26, 2026, 8:09 p.m.
Created at: March 22, 2026, 4:27 p.m.