Triple
T11084469
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Markov semigroup |
E262082
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | family of linear operators |
C27224
|
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: family of linear operators Context triple: [Markov semigroup, instanceOf, family of linear operators]
-
A.
linear differential operator
A linear differential operator is a mapping that takes a function as input and returns a new function formed by a linear combination of the function and its derivatives.
-
B.
elliptic differential operator
An elliptic differential operator is a linear differential operator whose principal symbol is invertible away from the zero section, ensuring strong regularity and smoothing properties for its solutions.
-
C.
integral operator
chosen
An integral operator is a mapping that transforms a function into another function by integrating it against a given kernel over a specified domain.
-
D.
linear differential equation
A linear differential equation is an equation involving an unknown function and its derivatives in which the function and its derivatives appear only to the first power and are not multiplied together, with coefficients that may depend on the independent variable.
-
E.
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.
- 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_69d6aa9983c08190b0ef61603b69feac |
completed | April 8, 2026, 7:20 p.m. |
Created at: April 8, 2026, 9:27 p.m.