Triple
T2815264
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Euler–Lagrange equation |
E54267
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | necessary condition for an extremum of a functional |
C3712
|
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: necessary condition for an extremum of a functional Context triple: [Euler–Lagrange equation, instanceOf, necessary condition for an extremum of a functional]
-
A.
extreme point
An extreme point of a convex set is a point in the set that cannot be expressed as a nontrivial convex combination of other distinct points from the set.
-
B.
partial differential equation
chosen
A partial differential equation is an equation that relates the partial derivatives of an unknown multivariable function, describing how it changes with respect to several independent variables.
-
C.
random variable functional
A random variable functional is a mapping that takes one or more random variables (or their distributions) as input and returns a real-valued quantity summarizing some aspect of their probabilistic behavior.
-
D.
evolution equation
An evolution equation is a mathematical expression, typically a differential or integral equation, that describes how a system’s state changes over time according to specified dynamical rules.
-
E.
integro-differential equations
Integro-differential equations are mathematical equations that involve both integrals and derivatives of an unknown function, capturing systems where current rates of change depend on accumulated past behavior.
- 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_69ab49de0af08190b3da69683be1e728 |
completed | March 6, 2026, 9:40 p.m. |
Created at: March 6, 2026, 9:59 p.m.