Triple
T32308390
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Wirtinger derivatives |
E825427
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | complex differential operator |
C23060
|
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: complex differential operator Context triple: [Wirtinger derivatives, instanceOf, complex differential operator]
-
A.
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.
-
B.
linear differential operator
chosen
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.
-
C.
operation on analytic functions
An operation on analytic functions is a rule or transformation that takes one or more analytic (holomorphic) functions as input and produces another function, typically preserving analyticity within a given domain.
-
D.
differential
A differential is a mechanical device in a vehicle’s drivetrain that allows wheels on the same axle to rotate at different speeds while transmitting power, especially when turning.
-
E.
complex surface
A complex surface is a two-dimensional complex manifold (equivalently, a four-dimensional real manifold) equipped with a holomorphic structure, often studied via its complex-analytic, algebraic, and topological properties.
- 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_69f3491213b88190a57094d8697a7455 |
completed | April 30, 2026, 12:20 p.m. |
Created at: May 1, 2026, 12:45 a.m.