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.