Triple
T36093833
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Slater’s condition |
E1044001
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | duality condition |
C28303
|
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: duality condition Context triple: [Slater’s condition, instanceOf, duality condition]
-
A.
duality theory
chosen
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.
-
B.
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.
-
C.
integrability condition
An integrability condition is a mathematical requirement, often expressed as a compatibility or consistency relation among derivatives, that ensures a given system of equations or differential forms admits a solution or can be derived from a potential function.
-
D.
necessary conditions for optimality
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.
-
E.
equilibrium condition
An equilibrium condition is a conceptual requirement specifying that all opposing influences in a system balance so that its state remains stable and unchanging over time unless disturbed.
- 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_69f76e32d60c8190ba781ffaaab4aa3d |
completed | May 3, 2026, 3:48 p.m. |
Created at: May 3, 2026, 4:08 p.m.