Triple

T9843889
Position Surface form Disambiguated ID Type / Status
Subject Cauchy–Euler equation E239291 entity
Predicate hasAlternativeName P39 FINISHED
Object Euler–Cauchy equation E239291 NE FINISHED

Disambiguation candidates (1 decision)

The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Euler–Cauchy equation
Context triple: [Cauchy–Euler equation, hasAlternativeName, Euler–Cauchy equation]
  • A. Cauchy–Euler equation chosen
    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. Riccati equation
    A Riccati equation is a type of nonlinear differential or difference equation, often quadratic in the unknown function, that plays a central role in control theory, filtering, and various areas of applied mathematics.
  • C. 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.
  • D. 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.
  • E. Sturm–Liouville problem
    The Sturm–Liouville problem is a class of second-order linear differential equations with boundary conditions that yield real eigenvalues and orthogonal eigenfunctions forming a basis for function expansions in mathematical physics and engineering.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 batches)

Stage Batch ID Job type Status
creating batch_69ca84e3f0c48190ada72a65ebd50efd elicitation completed
NER batch_69cdb35dc29c819080203be5b904dc9d ner completed
NED1 batch_69d1e429682c8190a94339b96d4081f6 ned_source_triple completed
Created at: March 30, 2026, 8:33 p.m.