Triple
T15860124
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Schmidt decomposition |
E384561
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | decomposition theorem |
C36560
|
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: decomposition theorem Context triple: [Schmidt decomposition, instanceOf, decomposition theorem]
-
A.
object in invariant theory
An object in invariant theory is a mathematical entity, such as a vector space, polynomial ring, or group action, whose structure and symmetries are studied through the functions or quantities that remain unchanged under a specified group of transformations.
-
B.
partition congruence
Partition congruence is an equivalence relation on a set that identifies elements as equivalent precisely when they belong to the same block of a given partition of that set.
-
C.
problem in invariant theory
A problem in invariant theory concerns determining and characterizing the algebraic functions (invariants) that remain unchanged under the action of a given group on a vector space or algebraic variety.
-
D.
spectral sequence
A spectral sequence is an algebraic tool in homological algebra and algebraic topology that computes complex (co)homology groups via a sequence of successive approximations organized in pages linked by differentials.
-
E.
combinatorial basis
A combinatorial basis is a minimal set of combinatorial objects or elements from which all structures in a given class can be uniquely generated or represented, typically without redundancy.
- 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_69d86da422088190aac39e32e6c68429 |
completed | April 10, 2026, 3:25 a.m. |
Created at: April 10, 2026, 4:50 a.m.