Triple
T36469978
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Liouville equation |
E898515
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | equation in Hamiltonian mechanics |
C13142
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: equation in Hamiltonian mechanics Context triple: [Liouville equation, instanceOf, equation in Hamiltonian mechanics]
-
A.
equation in physics
chosen
An equation in physics is a mathematical expression that quantitatively relates physical quantities to describe, predict, or explain natural phenomena.
-
B.
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).
-
C.
equation in statistical physics
An equation in statistical physics is a mathematical relation that connects microscopic properties of particles and their interactions to macroscopic thermodynamic quantities, enabling the prediction of a system’s collective behavior.
-
D.
relativistic Hamiltonian
A relativistic Hamiltonian is an energy operator or function in classical or quantum mechanics that generates time evolution while consistently incorporating the principles of special relativity, typically ensuring Lorentz invariance and relativistic energy-momentum relations.
-
E.
integral of motion
An integral of motion is a physical quantity that remains constant along the trajectory of a dynamical system due to its underlying symmetries or conservation laws.
- F. None of above.
Provenance (1 batch)
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_69f76e58ebd88190b75d9b169b59d793 |
completed | May 3, 2026, 3:48 p.m. |
Created at: May 3, 2026, 4:10 p.m.