Triple
T5256370
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Carathéodory–Jacobi–Lie theorem |
E118708
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | theorem in Hamiltonian mechanics |
C15689
|
CONCEPT 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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: theorem in Hamiltonian mechanics Context triple: [Carathéodory–Jacobi–Lie theorem, instanceOf, theorem in Hamiltonian mechanics]
-
A.
mathematical theorem
A mathematical theorem is a rigorously proven statement derived from axioms and previously established results, expressing a fundamental truth within a formal mathematical system.
-
B.
classical mechanics
Classical mechanics is the branch of physics that describes the motion of macroscopic objects under the influence of forces using laws such as Newton’s laws of motion and conservation principles.
-
C.
equation in the calculus of variations
An equation in the calculus of variations is a mathematical relation, typically an Euler–Lagrange equation, that characterizes the functions making a given functional stationary (usually minimizing or maximizing its value).
-
D.
result in mathematical physics
chosen
A result in mathematical physics is a rigorously proven statement that connects precise mathematical structures with physical theories, often clarifying, justifying, or predicting phenomena within a formal framework.
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E.
formulation of quantum mechanics
The formulation of quantum mechanics is the conceptual and mathematical framework that describes physical systems in terms of wavefunctions or state vectors, operators, and probabilistic measurement outcomes, replacing classical deterministic trajectories.
- F. None of above.
Provenance (1 batch)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69bd446978108190bb5f9c5c23d93f88 |
elicitation | completed |
Created at: March 20, 2026, 1:50 p.m.