Triple
T6801439
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Poincaré inequality |
E156195
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | functional inequality |
C15242
|
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: functional inequality Context triple: [Poincaré inequality, instanceOf, functional inequality]
-
A.
norm inequality
A norm inequality is a mathematical statement that compares the sizes (norms) of vectors or functions, often establishing bounds or relationships between different norms in a vector space.
-
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.
stability concept in functional equations
A stability concept in functional equations studies how small deviations from an exact functional relationship affect the existence and form of nearby exact solutions, typically quantifying when approximate solutions imply true solutions close in some specified sense.
-
D.
functional analysis result
chosen
A functional analysis result is a formal conclusion or theorem that characterizes the behavior, structure, or properties of functions and operators on infinite-dimensional spaces, typically within the framework of normed, Banach, or Hilbert spaces.
-
E.
moment inequality
A moment inequality is a constraint that specifies that an expected value (moment) of a random variable or function of data must lie above or below a certain bound, rather than being exactly equal to it.
- 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_69c68826e6a48190a3d220b541e639de |
completed | March 27, 2026, 1:37 p.m. |
Created at: March 27, 2026, 2:16 p.m.