Triple
T13509433
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | KKT conditions |
E321097
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | nonlinear programming concept |
C13134
|
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: nonlinear programming concept Context triple: [KKT conditions, instanceOf, nonlinear programming concept]
-
A.
mathematical program
A mathematical program is an optimization model that seeks to minimize or maximize an objective function subject to a set of mathematical constraints.
-
B.
nonlinear function
A nonlinear function is a mathematical relationship between variables in which the rate of change is not constant, so its graph does not form a straight line.
-
C.
necessary conditions for optimality
chosen
Necessary conditions for optimality are criteria that any candidate solution must satisfy in order to be considered a potential optimizer (such as a minimum, maximum, or saddle point) of a given objective function under specified constraints.
-
D.
optimality conditions
Optimality conditions are mathematical criteria that must be satisfied by a candidate solution to ensure it is a local or global optimum of an optimization problem.
-
E.
duality theory
Duality theory is a conceptual framework in mathematics and related fields that studies pairs of structures or problems that are interrelated in such a way that results and properties in one can be systematically translated into corresponding results and properties in the other.
- 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_69d807629d6c8190998f1b9bb12d2ed0 |
completed | April 9, 2026, 8:09 p.m. |
Created at: April 9, 2026, 9:43 p.m.