Triple
T6295489
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lie derivative |
E141121
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | tensor derivation |
C20287
|
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: tensor derivation Context triple: [Lie derivative, instanceOf, tensor derivation]
-
A.
tensor field
A tensor field is a mathematical object that assigns a tensor (a multilinear map or multidimensional array following specific transformation rules) to every point in a space or manifold, varying smoothly from point to point.
-
B.
tensor
A tensor is a multidimensional array of numerical values that generalizes scalars, vectors, and matrices to represent data or linear relationships across multiple dimensions.
-
C.
tensorial connection coefficient
A tensorial connection coefficient is a geometric object that encodes how tensor components change under parallel transport or differentiation on a manifold in a way that transforms as a true tensor.
-
D.
tensor identity
A tensor identity is a fundamental equation relating tensor components or operations that holds for all valid tensors of the specified types and dimensions, often used to simplify or transform tensor expressions.
-
E.
(0,2)-tensor
A (0,2)-tensor is a bilinear map that takes two vectors as input and returns a scalar, often representing objects like metrics or covariant tensor fields on a vector space or manifold.
- 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_69c008cdf2ac8190bb640c94478fb4ed |
completed | March 22, 2026, 3:20 p.m. |
Created at: March 22, 2026, 4:27 p.m.