Triple
T11084468
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Markov semigroup |
E262082
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | semigroup of operators |
C29171
|
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: semigroup of operators Context triple: [Markov semigroup, instanceOf, semigroup of operators]
-
A.
integral operator
An integral operator is a mapping that transforms a function into another function by integrating it against a given kernel over a specified domain.
-
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.
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.
-
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.
functional analysis result
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.
- F. None of above. chosen
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.